If the rate of excretion of a bio-chemical compound is given by f′(t)=0.08e−0.08t the total amount excreted by time t (in minutes) is f(t). a. Find an expression for f(t). b. If 0 units are excreted at time t=0, how many units are excreted in 19 minutes? a. Find an expression for f(t). f(t)=___

Answers

Answer 1

An expression for function f(t) is as follows:

f(t) = -5e^-0.08t + C

f(19) = 4.10 units.

Given the function, f′(t)=0.08e−0.08t ,

where f′(t) represents the rate of excretion of a bio-chemical compound.

To find the expression for f(t), the rate of excretion of the bio-chemical compound should be integrated over the given period. We have:

f′(t)=0.08e−0.08t

To integrate, we get:

f(t)= ∫ f′(t) dt

Let us substitute the given function, f′(t)=0.08e−0.08t , to get:

f(t) = ∫0t 0.08e-0.08t dt

Using u-substitution:

u = -0.08tdv

= e^u duv

= e^-0.08tdu

f(t) = -5e^-0.08t + C

We need to find C such that f(0) = 0.

Therefore: f(0) = -5e^0 + C

= 0

Hence, C = 5

Therefore, the expression for f(t) is:

f(t)=5-5e^(-0.08t)

Part (b)

0 units are excreted at t = 0. The amount excreted in 19 minutes is:

f(19) = 5-5e^(-0.08*19)

f(19) = 4.10 units.

Hence, the answer is 4.10.

To know more about function visit

https://brainly.com/question/21426493

#SPJ11


Related Questions

You bought a book for R300 and sold it a year later for R240. What is the loss

Answers

Answer:

R60 is the answer to your question

1. Use a counting sort to sort the following numbers (What is
the issue. Can you overcome it? ):
1111005 7 107 11002 1 21003 3331005
Issue:
Solution:
Show the count array:

Answers

The counting sort is a stable, linear time sorting algorithm that uses an auxiliary array to sort a collection of integers within a given range. As a result, this algorithm's performance is determined solely by the size of the input and the range of values to be sorted.

The issue with this particular issue is that there are both three-digit and five-digit numbers. However, since it is a counting sort, this can be overcome by appending two zeroes in front of the three-digit numbers and one zero in front of the one-digit numbers.1111005 7 107 11002 1 21003 3331005The largest number is 3331005.The count array will be of size (largest+1), which is 3331006 for this example. Initial count array: 0 0 0 ... 0 (of size 3331006)Count how many times each element appears in the array: array: 1111005 7 107 11002 1 21003 3331005count: 0000101 1 1 1 2 1 0000001Add up the previous counts to get the final count array:array: 1111005 7 107 11002 1 21003 3331005count: 0000102 3 4 5 7 8 0000009Thus, the sorted array is:1 7 107 11002 21003 1111005 3331005The count array is as follows:array: 1111005 7 107 11002 1 21003 3331005count: 0000102 3 4 5 7 8 0000009

To know more about linear visit:

https://brainly.com/question/31510530

#SPJ11

Question 17 Slleterx (A) \( 38= \) (8) \( 108= \) (c) \( 12= \) (D) 198

Answers

The correct option is  (D) 198.The function Slleterx(x) starts by adding x to itself. Then, it recursively calls itself, dividing x by 2 each time. The function terminates when x is equal to 1.

The function Slleterx(x) is defined as follows:

Slleterx(x) = x + Slleterx(x // 2)

where // is the integer division operator.

The function Slleterx(x) starts by adding x to itself. Then, it recursively calls itself, dividing x by 2 each time. The function terminates when x is equal to 1.

The values of Slleterx(x) for x = 38, 108, and 12 are as follows:

Slleterx(38) = 38 + Slleterx(19) = 38 + 19 + Slleterx(9) = 57 + 9 + Slleterx(4) = 66 + 4 + Slleterx(2) = 70 + 2 = 72

Slleterx(108) = 108 + Slleterx(54) = 108 + 54 + Slleterx(27) = 162 + 27 + Slleterx(13) = 189 + 13 + Slleterx(6) = 202 + 6 + Slleterx(3) = 208 + 3 = 211

Slleterx(12) = 12 + Slleterx(6) = 12 + 6 + Slleterx(3) = 18 + 3 = 21

Therefore, the answer to the question is (D) 198.

The function Slleterx(x) is a recursive function. This means that it calls itself to solve the problem. The function terminates when x is equal to 1.

The function Slleterx(x) is not a very efficient function. The number of recursive calls increases exponentially as x increases. However, the function is simple to understand and implement.

To know more about function click here

brainly.com/question/28193995

#SPJ11

Find the integral.

∫ 31 cos^2 (57x) dx = _______

Answers

Therefore, the complete solution to the integral is: ∫ 31 cos^2 (57x) dx = (31/2)x + (1/228) sin(2*57x) + C, where C = C1 + C2 represents the constant of integration.

The integral ∫ 31 cos^2 (57x) dx can be evaluated as follows:

To find the integral, we can use the trigonometric identity cos^2(x) = (1 + cos(2x))/2. Applying this identity, we have:

∫ 31 cos^2 (57x) dx = ∫ 31 (1 + cos(2*57x))/2 dx

Using linearity of integration, we can split the integral into two parts:

∫ 31 (1 + cos(2*57x))/2 dx = (1/2) ∫ 31 dx + (1/2) ∫ 31 cos(2*57x) dx

The first part, (1/2) ∫ 31 dx, is straightforward to evaluate and results in (31/2)x + C1, where C1 is the constant of integration.

For the second part, (1/2) ∫ 31 cos(2*57x) dx, we can use the substitution u = 2*57x, which leads to du = 2*57 dx. This simplifies the integral to:

(1/2) ∫ 31 cos(2*57x) dx = (1/2)(1/2*57) ∫ 31 cos(u) du

                        = (1/4*57) ∫ 31 cos(u) du

                        = (1/228) ∫ 31 cos(u) du

The integral of cos(u) with respect to u is sin(u), so we have:

(1/228) ∫ 31 cos(u) du = (1/228) sin(u) + C2

Now, substituting back u = 2*57x, we obtain:

(1/228) sin(u) + C2 = (1/228) sin(2*57x) + C2

Therefore, the complete solution to the integral is:

∫ 31 cos^2 (57x) dx = (31/2)x + (1/228) sin(2*57x) + C,

where C = C1 + C2 represents the constant of integration.

To learn more about trigonometric identity: brainly.com/question/24377281

#SPJ11

The population of City A starts with 200 people and grows by a factor of 1.05 each year.
The population of City B starts with 200 people and increases by 20 people each year.
1. Which city will have more people after 1 year? How do you know?
2. What type of equation is A?
3. What type of equation is B?

Answers

Answer:

1. City A
2. Exponential Growth
3. Linear

Step-by-step explanation:

The equation for exponential growth is f(x)=a(1+r/100)^x, where a is the initial growth/starting population, r is the growth rate, and x is the time intervals.

City A
f(x)=200(1+1.05/100)^x
Simplify:
f(x)=200(1.105)^x

City B
An increase in 20 people each year is NOT exponential but linear:
f(x)=20x+200

Now we plug in x for 1 to stand for 1 year and see which city has a greater number:
City A:
f(1)=200(1.105)^1
f(1)=200 x 1.105
f(1)=221

City B:
f(1)=20(1)+200

f(1)=20+200

f(1)=220

City A will have more people.

City A is an exponential function because there's a percent increase every year, and there will be more people every year because there are more people. This is kind of how compound interest also works

City B is a linear equation because a set number of people are added every year and doesn't change based on the amount of people already in it.

1. City B will have more population after 1 year.

In this case, we have been given of both the cities A and B with each year's growth factor and we have been told to find out, which city will have more population after 1 year. So to find out the comparison, first we need to find out the individual popoulation of both the cities after 1 year of interval.

So, population of City A after 1 year will be 200 * 1.05 = 210

Similarly,  population of City B after 1 year will be 200 + 20 = 220

It is clear that City B has more population as compared to City A.

Therefore, after 1 year City B has more population.

2. equation for City A is Exponential Growth Equation.

Exponential growth is the growth which takes place when a particular quantity increases at a constant rate over a fixed time period. It is given in the form of [tex]P = P_{0} * (1 + r)^t[/tex], where P is population, [tex]P_{0}[/tex] is initial population, r is the growth rate, and t is time period.

3. equation for City B is Linear Equation.

Linear equation is a representation of a straight line when graphed on paper. It has constant coefficients and variables raised to power 1. It is given in the form of [tex]P = P_{0} + rt[/tex], where P is population, [tex]P_{0}[/tex] is initial population, r is the growth rate, and t is time period.

To study more about Exponential Growth Equation:

https://brainly.com/question/30690645








Given \( i^{(2)}=1.45000 \% \), find the equivalent effective bi-weekly rate. a. \( 0.05558 \% \) b. \( 0.05336 \% \) c. \( 0.05114 \% \) d. \( 0.05447 \% \) e. \( 0.05003 \% \)

Answers

The equivalent effective bi-weekly rate is approximately 0.01456%.

To find the equivalent effective bi-weekly rate, we need to convert the given nominal rate [tex]i^{(2)} =1.45000\%[/tex] to the effective rate for a bi-weekly period.

The formula to convert a nominal rate to an effective rate is [tex]i^{(m)} =(1+r/m)^{m}-1[/tex], where [tex]i^{(m)}[/tex] is the effective rate, r is the nominal rate, and m is the number of compounding periods per year.

In this case, we have a nominal rate [tex]i^{(2)}[/tex] that corresponds to a semi-annual compounding (2 periods per year). We can plug the values into the formula and calculate the effective rate [tex]i^{(bi-weekly)}[/tex] for a bi-weekly period.

[tex]i^{(bi-weekly)}=(1+1.45000/2/100)^{2}-1[/tex]

Calculating the expression:

[tex]i^{bi-weekly}=(1+0.00725)^{2} -1\\i^{bi-weekly}= 1.0145640625-1\\i^{bi-weekly}= 0.0145640625[/tex]

The equivalent effective bi-weekly rate is approximately 0.01456%.

Among the given options, none of them match the calculated value exactly.

Learn more about nominal here:

brainly.com/question/30721834

#SPJ11

Suppose the supply equation is Q=−2+P and the demand equation is given by Q=7− 0.5 where price is measured by dollars per unit.
(a) Find the effect of a $3 per unit subsidy on consumer surplus, producer surplus and total surplus.
(b) Suppose a price floor of $8 per unit is imposed. Find the effect of this price ceiling on CS,PS, and TS.

Answers

The $3 per unit subsidy will increase consumer surplus, decrease producer surplus, and increase total surplus. The $8 price floor will decrease consumer surplus, increase producer surplus, and decrease total surplus.

(a) To find the effect of a $3 per unit subsidy, we need to compare the equilibrium price and quantity before and after the subsidy. In the absence of the subsidy, the equilibrium price is determined by setting the demand equation equal to the supply equation:

7 - 0.5P = -2 + P

Solving for P, we find the equilibrium price P_eq = $5. The equilibrium quantity can be obtained by substituting this price back into either the supply or demand equation:

Q_eq = -2 + P_eq = -2 + 5 = 3 units

With the $3 per unit subsidy, the supply equation becomes Q = -2 + P - 3 = -5 + P. The new equilibrium price and quantity are determined by setting the demand equation equal to the new supply equation:

7 - 0.5P = -5 + P

Solving for P, we find P_subsidy = $6. The equilibrium quantity can be obtained by substituting this price back into the supply equation:

Q_subsidy = -5 + P_subsidy = -5 + 6 = 1 unit

To calculate the effects on consumer surplus (CS), producer surplus (PS), and total surplus (TS), we need to compare the areas of the relevant triangles. Before the subsidy, CS is the area above the demand curve and below the equilibrium price, PS is the area below the supply curve and above the equilibrium price, and TS is the sum of CS and PS. After the subsidy, CS expands, PS contracts, and TS increases.

(b) To find the effect of a $8 price floor, we need to compare the equilibrium price and quantity before and after the price floor. In the absence of the price floor, the equilibrium price and quantity remain the same as calculated in part (a): P_eq = $5 and Q_eq = 3 units.

With the $8 price floor, the market price cannot fall below $8. If the price floor is above the equilibrium price, it does not have any effect on the market. In this case, the price floor is below the equilibrium price, so it becomes binding. The new equilibrium price and quantity are determined by setting the supply equation equal to the price floor:

-2 + P_floor = 8

Solving for P_floor, we find P_floor = $10. The equilibrium quantity remains the same as Q_eq = 3 units.

To calculate the effects on CS, PS, and TS, we compare the areas of the relevant triangles. Before the price floor, CS is the area above the demand curve and below the equilibrium price, PS is zero because no units are being supplied, and TS is equal to CS. After the price floor, CS contracts, PS expands to include the entire area below the price floor and above the equilibrium quantity, and TS decreases.

In conclusion, the $3 per unit subsidy increases consumer surplus, decreases producer surplus, and increases total surplus. On the other hand, the $8 price floor decreases consumer surplus, increases producer surplus, and decreases total surplus. These effects can be visualized by comparing the areas of the relevant triangles in each scenario.

Learn more about total surplus here:

https://brainly.com/question/28557855

#SPJ11

Find the open intervals where the function is concave upward or concave downward. Find any inflection points.
f(x)=-3x^3+12x^2+171x-6
Where is the function concave upward and where is it concave downward? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function is concave upward on the interval(s) _____ and concave downward on the interval(s) ______
(Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed)
O B. The function is concave upward on the interval(s) ______ The function is never concave downward.
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
O C. The function is concave downward on the interval(s)_____ The function is never concave upward.
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
O D. The function is never concave upward or downward.
Find any inflection points of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The function has an inflection point at ____ (Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.)
O B. The function f has no inflection points.

Answers

The function is concave upward on the interval(s) (3, ∞) and concave downward on the interval(s) (-∞, 1/3)The inflection points of f are (1/3, 50/3)Step-by-step explanation:

The given function is

f(x)=-3x^3+12x^2+171x-6f'(x)

= -9x^2 + 24x + 171f''(x)

= -18x + 24f'(x)

= 0 => x = 1/3

Now we have to find if the function is concave upward or downward. If f''(x) > 0, then f is concave upward. If f''(x) < 0, then f is concave downward.

f''(x) > 0

=> -18x + 24 > 0

=> x < 4/3f''(x) < 0

=> -18x + 24 < 0

=> x > 4/3

Tthe function is concave upward on the interval(s) (3, ∞) and concave downward on the interval(s) (-∞, 1/3).An inflection point is a point on the curve at which the concavity changes.

To know more about inflection visit:

https://brainly.com/question/1289846

#SPJ11

"repeated sampling of a certain process shows the average of all
samples ranges to be 1.00 cm. there are random samples and the
ssmple size has been 5. what is the upper control limit for R
chart?

Answers

Upper Control Limit for R Chart: UCL = D4 * R-Bar , UCL = 2.114 * 1.000, UCL ≈ 2.115 cm. Therefore, the correct answer is 2.115 cm(d).

To calculate the upper control limit for the R Chart, we need to use the following formula:

Upper Control Limit (UCL) = D4 * R-Bar

Where:

- D4 is a constant value based on the sample size (n=5 in this case).

- R-Bar is the average range of the samples, which is given as 1.000 cm.

The value of D4 for a sample size of 5 is 2.114. (You can find this value in statistical reference tables.)

Now, we can calculate the UCL:

UCL = D4 * R-Bar

   = 2.114 * 1.000

   = 2.114 cm

Rounding to 3 decimal places, the upper control limit for the R Chart is 2.114 cm.

Therefore, the correct option is: d. 2.115 cm

Learn more about average here: https://brainly.com/question/24057012

#SPJ11

The complete question is :

Repeated sampling of a certain process shows the average of all sample ranges to be 1.000 cm. There are 12 random samples and the sample size has been 5. What is the upper control limit for R Chart? Must compute in 3 dec pl. Select one: O a. 2.745 cm O b. 3.005 cm O c. 1.725 cm d. 2.115 cm e. 2.000 cm

Find an equation of the tangent plane to the parametric surface
r(u, v) = uvi+ u sin(v)j + v cos(u) k at the point (0, 0, π) for which u = 0 and v= π.
o y = -π
o x= -π
o z = 1
o x = 0
o o
o y=0

Answers

The equation of the tangent plane at the given point is z - π = 0x + 0yOr z = π. Therefore, the equation of the tangent plane is z = π. Hence, option (c) is the correct answer.

The given parametric equation of the surface is r(u, v)

= uvi + usin(v)j + vcos(u)k. The point is (0, 0, π) for which u

= 0 and v

= π. To find the equation of the tangent plane, we need to find partial derivatives at the given point and then use the following formula to find the equation of the tangent plane.z - f(x,y)

= ∂f/∂x(x-x₀) + ∂f/∂y(y-y₀)Here, we have z

= f(x, y)

= u sin(v) + v cos(u), x₀

= 0, y₀

= 0 and u

= 0, v

= π.∴ f(0,0)

= 0 sin(π) + π cos(0)

= πSo, we have z - π

= ∂f/∂x(x-0) + ∂f/∂y(y-0)Partial derivative w.r.t x: ∂f/∂x

= -v sin(u)

= 0 (as u

= 0)

= 0 Partial derivative w.r.t y: ∂f/∂y

= u cos(v)

= 0 (as u

= 0)

= 0. The equation of the tangent plane at the given point is z - π

= 0x + 0yOr z

= π. Therefore, the equation of the tangent plane is z

= π. Hence, option (c) is the correct answer.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

PLEASE HELP!!!


Nichole bought 500 shares of a company's stock for $8. 24/share. She pays a broker a commission for $20 to buy and sell stock. After one year she sold all of her shares which were worth $10. 10/share at that time.


what was her rate of return?


A. 22. 6%

B. 21. 5%

C. 16. 8%

D. 16. 1%

Answers

The correct answer is A: 22.6%

Write the scalar equation of the plane with normal vector n=[1,2,1] and passing through the point (3,2,1). a. x+2y+z+8=0 c. 3x+2y+z−8=0 b. x+2y+z−8=0 d. 3x+2y+z+8=0

Answers

Therefore, the scalar equation of the plane with the normal vector n = [1, 2, 1] and passing through the point (3, 2, 1) is: b. x + 2y + z - 8 = 0.

To find the scalar equation of the plane with a normal vector n = [1, 2, 1] and passing through the point (3, 2, 1), we can use the general form of the equation for a plane:

Ax + By + Cz + D = 0,

where [A, B, C] is the normal vector of the plane and (x, y, z) represents any point on the plane.

Given n = [1, 2, 1] as the normal vector and (3, 2, 1) as a point on the plane, we can substitute these values into the equation to find the scalar equation.

Plugging in the values, we have:

1(x) + 2(y) + 1(z) + D = 0,

x + 2y + z + D = 0.

Now, to determine the value of D, we substitute the coordinates of the given point (3, 2, 1) into the equation:

3 + 2(2) + 1 + D = 0,

3 + 4 + 1 + D = 0,

8 + D = 0,

D = -8.

Substituting D = -8 back into the equation, we get:

x + 2y + z - 8 = 0.

To know more about scalar equation,

https://brainly.com/question/14288053

#SPJ11

z →z . f(x)=x 3. select the correct description of the function f.

Answers

The correct description of the function f: Z → Z, given by f(x) = x + 3, is "Neither one-to-one nor onto."

To determine if the function f is one-to-one, we need to check if each input value (x) has a unique output value (f(x)). In this case, for any integer x, f(x) = x + 3. Since the value of f(x) depends solely on the input value x, different input values can yield the same output value. For example, f(1) = 4 and f(2) = 5, indicating that the function is not one-to-one.

To determine if the function f is onto, we need to check if every possible output value has a corresponding input value. In this case, since f(x) = x + 3, any integer y can be obtained as an output value by choosing x = y - 3. Therefore, every possible integer output has a corresponding input value, making the function onto.

As a result, the function f: Z → Z, defined by f(x) = x + 3, is neither one-to-one nor onto.

Learn more about integer here:

https://brainly.com/question/490943

#SPJ11

f:Z→Z.f(x)=x+3f:Z→Z.f(x)=x+3

Select the correct description of the function f.

One-to-one and onto

One-to-one but not onto

Onto but not one-to-one

two wires lie perpendicular to the plane of the paper

Answers

a. The resultant magnetic field at point P due to currents in the two wires can be determined by vector addition of the individual magnetic fields.

b. Reversing the direction of currents in both wires would result in a reversed direction of the resultant magnetic field at point P.

a. To construct the vector diagram showing the direction of the resultant magnetic field at point P due to currents in the two wires, we can use the right-hand rule for determining the magnetic field direction around a wire carrying current.

For Wire 1, which has the current coming towards us (out of the plane of the paper), the magnetic field direction can be determined by wrapping the right-hand fingers around the wire in the direction of the current, and the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 1 is from left to right.

For Wire 2, which has the current going into the plane of the paper, we apply the right-hand rule again. Wrapping the right-hand fingers around the wire in the direction opposite to the current, the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 2 is from right to left.

At point P, which is equidistant from the two wires, the magnetic fields due to the currents in the wires will combine. The resultant magnetic field direction at point P can be found by vector addition. Drawing the vectors representing the magnetic fields for Wire 1 and Wire 2, with opposite directions, we can add them head-to-tail. The resultant vector will show the direction of the resultant magnetic field at point P.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), the directions of the magnetic fields due to the currents in the wires would be reversed compared to the previous case.

For Wire 1, the magnetic field direction would be from right to left, and for Wire 2, it would be from left to right. Following the same process as in part a, we would draw the vectors representing the magnetic fields for Wire 1 and Wire 2 in their respective reversed directions. Adding them head-to-tail would give us the resultant vector indicating the direction of the resultant magnetic field at point P in this scenario.

Complete Question:

Two wires lie perpendicular to the plane of the paper, and equal electric currents pass through the paper in the directions shown. Point P is equidistant from the two wires.

a. Construct a vector diagram showing the direction of the resultant magnetic field at point P due to currents in these two wires. Explain your reasoning.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), show the resultant magnetic field at point P.

To know more about magnetic field, refer here:

https://brainly.com/question/14848188

#SPJ4

T/F We can use the normal distribution to approximate the sampling distribution of the average (x ¯) for a small sample (n<30) even if our sample has clear outliers.

Answers

False.  We cannot use the normal distribution to approximate the sampling distribution of the average (x) for a small sample (n<30) if our sample has clear outliers.

The sampling distribution of the average, also known as the sampling distribution of the mean, is the distribution of all possible sample means that could be obtained from a population. In order to use the normal distribution to approximate the sampling distribution of the average, certain assumptions need to be met. One of these assumptions is that the data should follow a normal distribution or at least be approximately normally distributed.

If the sample contains clear outliers, it indicates that the data deviates significantly from the assumptions of normality. Outliers can affect the shape and properties of the distribution, making it non-normal. In such cases, using the normal distribution to approximate the sampling distribution of the average would not be appropriate because the underlying assumptions are violated. Alternative approaches, such as non-parametric methods, may be more suitable for analyzing data with outliers.

to learn more about sample means  click here:

brainly.com/question/30260042

#SPJ11

Given the function: h(x)=ex and g(x)=x2

Answers

Given the function h(x)=ex and g(x)=x2. The domain of a function represents all possible input values that it accepts. The function h(x)=ex has a domain of all real numbers. Thus, the domain of the function is (-∞, ∞).

The domain of a function represents all possible input values that it accepts. The function g(x)=x² has a domain of all real numbers. Thus, the domain of the function is (-∞, ∞). Substituting the function g(x)=x² in h(x)=ex, we have;h(g(x)) = h(x²)Therefore, h(g(x)) = ex² Substituting the function h(x)=ex in g(x)=x², we have;g(h(x)) = (ex)² Therefore, g(h(x)) = e2x. The range of a function is the set of all possible output values.

The function h(x)=ex has a range of all positive real numbers. Thus, the range of the function is (0, ∞). The range of a function is the set of all possible output values. The function g(x)=x² has a range of all non-negative real numbers. Thus, the range of the function is [0, ∞).

To know more about function visit:

https://brainly.com/question/21145944?

#SPJ11

7.2. A discrete-time signal \( x[n] \) has \( z \)-transform \[ X(z)=\frac{z}{8 z^{2}-2 z-1} \] Determine the \( z \)-transform \( V(z) \) of the following signals:
\( v[n]=x[n] * x[n] \)

Answers

The z-transform of the signal v[n] = x[n] * x[n] is given by: V(z) = X(z)^2 = \frac{z^2}{(8z^2 - 2z - 1)^2}. The z-transform of the product of two signals is the product of the z-transforms of the individual signals.

In this case, the z-transform of x[n] is given by X(z). Therefore, the z-transform of v[n] = x[n] * x[n] is given by: V(z) = X(z)^2 = \frac{z^2}{(8z^2 - 2z - 1)^2}

The z-transform of a discrete-time signal is a mathematical function that represents the signal in the frequency domain. The z-transform can be used to analyze the properties of a signal, such as its frequency response and its stability. The product of two z-transforms is the z-transform of the product of the two signals. This can be shown using the following equation:

X(z) * Y(z) = \sum_{n=-\infty}^{\infty} x[n] z^{-n} * \sum_{n=-\infty}^{\infty} y[n] z^{-n} = \sum_{n=-\infty}^{\infty} (x[n] y[n]) z^{-n} = Z(z)

where Z(z) is the z-transform of the signal z[n] = x[n] * y[n].

To learn more about z-transform click here : brainly.com/question/32622869

#SPJ11

The signal \( x(t)=3 \cos (2 \pi t)+6 \sin (5 \pi t)+7.5 \cos (10 t) \) is: Select one: Periodic with a fundamental period of \( T_{0}=1 \) Peniodic with a fundamental period of \( T_{0}=5 \) Not peri

Answers

The signal \(x(t) = 3 \cos(2 \pi t) + 6 \sin(5 \pi t) + 7.5 \cos(10t)\) is periodic with a fundamental period of \(T_0 = 1\).

To determine the periodicity of the signal, we need to examine the frequencies present in the signal. The signal contains three sinusoidal components with different frequencies: \(2\pi\), \(5\pi\), and \(10\).

For a sinusoidal signal, the period \(T\) can be calculated as the reciprocal of the frequency, i.e., \(T = \frac{1}{f}\), where \(f\) is the frequency.

In this case, the frequency of the first component is \(2\pi\), so its period is \(T_1 = \frac{1}{2\pi}\). Similarly, the frequency of the second component is \(5\pi\), so its period is \(T_2 = \frac{1}{5\pi}\). Finally, the frequency of the third component is \(10\), so its period is \(T_3 = \frac{1}{10}\).

To determine the fundamental period \(T_0\), we need to find the least common multiple (LCM) of the periods \(T_1\), \(T_2\), and \(T_3\). In this case, the LCM of \(T_1\), \(T_2\), and \(T_3\) is \(T_0 = 1\).

Learn more about LCM at: brainly.com/question/24510622

#SPJ11

we have vectors v and w , then if || v || = 4 and v.w = -5 ,
what is the minimum value of || w || ?

Answers

The minimum value of ||w|| is 5/4.

To find the minimum value of ||w||, we can use the Cauchy-Schwarz inequality:

|v·w| ≤ ||v|| ||w||

Given that v·w = -5 and ||v|| = 4, we can rewrite the inequality as:

|-5| ≤ 4 ||w||

Simplifying, we have:

5 ≤ 4 ||w||

Dividing both sides by 4, we get:

5/4 ≤ ||w||

Therefore, the minimum value of ||w|| is 5/4.

The Cauchy-Schwarz inequality states that for any two vectors v and w in an inner product space, the absolute value of their dot product (v·w) is less than or equal to the product of their magnitudes (||v|| ||w||):

|v·w| ≤ ||v|| ||w||

In other words, the magnitude of the dot product of two vectors is bounded by the product of their magnitudes.

Visit here to learn more about Cauchy-Schwarz inequality brainly.com/question/30402486

#SPJ11

An arc is 70. 7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle

Answers

The diameter of the circle is approximately 45 meters.

The length of an arc is given by the formula:

length = radius * angle

Given that the length of the arc is 70.7 meters and the central angle is 5π/4 radians, we can solve for the radius of the circle:

70.7 = radius * (5π/4)

Simplifying the equation, we have:

radius = (70.7 * 4) / (5π)

To find the diameter, we multiply the radius by 2:

diameter = 2 * radius = 2 * [(70.7 * 4) / (5π)]

Calculating the value, we get approximately 45 meters as the diameter of the circle.

learn more about diameter here:

https://brainly.com/question/32968193

#SPJ11


If a cheque remains uncashed for ————
it becomes stale-dated and can no longer be cashed.
A. 30 days
B. 10 months
C. 6 months
D. 4 months"

Answers

If a cheque remains uncashed for option C, 6 months, it becomes stale-dated and can no longer be cashed.

Stale-dating refers to the period after which a cheque is considered expired or no longer valid for cashing. In this case, the correct answer is option C: 6 months. After a cheque has been issued, it is typically expected to be cashed within a reasonable timeframe to ensure prompt payment. If the recipient fails to cash the cheque within the specified period, it becomes stale-dated.

The specific duration for a cheque to become stale-dated may vary based on local regulations or banking practices. However, the general rule of thumb is that cheques are typically considered stale-dated after 6 months. After this time frame, banks may refuse to honor the cheque, and the payee would need to contact the issuer for a replacement or alternative payment method. It's important to note that policies may vary among different financial institutions and jurisdictions, so it's advisable to consult the specific terms and conditions provided by the relevant bank or legal authorities.

Learn more about replacement in function here: brainly.com/question/11010166

#SPJ11

1. There is standard approach to developing benefits versus costs in management
accounting. 2. Managerial accounting helps companies effectively analyze the tradeoffs of price, cost,
quality, and service.
3. Debt cost after tax is the least expensive source of financing.


T/F

Answers

1)True: There is a standard approach to developing benefits versus costs in management accounting.2)True, 3)False

True. There is a standard approach to developing benefits versus costs in management accounting. This approach involves conducting a cost-benefit analysis to assess the potential advantages and disadvantages of different courses of action. By comparing the costs incurred with the expected benefits, managers can make informed decisions about resource allocation and strategic planning.

True. Managerial accounting plays a crucial role in helping companies effectively analyze the tradeoffs of price, cost, quality, and service. Through the use of various techniques such as cost-volume-profit analysis, activity-based costing, and variance analysis, managerial accountants provide valuable insights into the impact of different decisions on these tradeoffs. They help identify the optimal balance between price and cost, ensuring that quality and service levels are maintained while maximizing profitability.

False. Debt cost after tax is not necessarily the least expensive source of financing. While debt financing often carries lower interest rates compared to equity financing, it is essential to consider the after-tax cost of debt. The tax deductibility of interest payments reduces the net cost of debt for companies.

However, the overall cost of debt depends on various factors, including interest rates, creditworthiness, and the specific terms of the debt. Additionally, equity financing, although it does not involve interest payments, may offer other advantages such as shared risk and no obligation for fixed payments.

Learn more about variance here:

https://brainly.com/question/30044695

#SPJ11

R is the region bounded above by the graph of f(x) = 6e^(-x^2) and below by the x-axis over the interval [1, 2]. Find the volume of the solid of revolution formed by revolving R around the y-axis. Submit an exact answer in terms of π.

Answers

To determine the volume of the solid of revolution that is formed by revolving R around the y-axis, we need to utilize the formula for volumes of solids of revolution.

We need to integrate from a to b. We can find the values of a and b using the given interval [1, 2]. The function f(x) can be represented as y = 6e^(-x^2), and we need to revolve R around the y-axis.

For a thin disc, the radius will be x, while the thickness will be dy. Hence, we need to replace the value of x with y in terms of y.

As a result, the equation becomes x = (ln(6/y))/2.

Then, the formula to find the volume of a solid of revolution about the y-axis is given by:

V = ∫[a, b] π{[R(y)]^2}[dy]The radius of a disc R(y)

= x becomes R(y)

= [(ln(6/y))/2].

Therefore, the volume of the solid of revolution around the y-axis becomes:

V = ∫[1, 2] π[(ln(6/y))/2]^2 [dy]

After we have integrated and simplified, the volume becomes:

V = 3π[(2ln2)-1]

The volume of the solid of revolution formed by revolving R around the y-axis is 3π[(2ln2)-1] .

To know more about  volume visit :

https://brainly.com/question/28058531

#SPJ11

Sketch the region enclosed by the curves and find its area. y=x, y=3x, y=−x+4

Area= _________________

Answers

The given curves are y = x, y = 3x, and y = −x + 4.

To find the region enclosed by these curves, we have to sketch the curves and see the area of the region enclosed by these curves. Let's draw the graph below:Let's sketch the region enclosed by the curves:As we can see from the graph,

the three curves intersect at (1,1), (0,0), and (1,3).

The area of the enclosed region can be found as follows:Area enclosed by the given

curves = Area of the triangle OAB + Area of the triangle OBC - Area of the triangle OAC.

From the given graph, we can see that A = (1,1), B = (0,0), and C = (1,3).

To know more about curves visit:

https://brainly.com/question/29736815

#SPJ11

Consider the function

f (x) = ln x^2/x-1

Select all that apply.

A. f(x) is strictly convex for any value of x.
B. f(x) is strictly concave for any value of x.
C. f(x) is strictly concave if x>2+ √2.
D. f(x) is strictly convex if 1

Answers

The correct options are:

A. f(x) is strictly convex for any value of x.

C. f(x) is strictly concave if x > 2 + √2.

D. f(x) is strictly convex if 1 < x < (5 - √17)/3 or (5 + √17)/3 < x.

The given function is: f(x) = ln(x^2 / (x - 1))

Let's first differentiate the function:

f'(x) = [2x(x - 1) - x^2] / (x^2(x - 1)^2)

     = [x(x - 4)] / (x^2(x - 1)^2)

     = (x - 4) / (x(x - 1)^2)

Second Derivative:

f''(x) = [x(x - 1)^2 - (x - 4) * 2x(x - 1)] / (x^2(x - 1)^4)

      = [3x^2 - 10x + 4] / (x^2(x - 1)^3)

Now, for f(x) to be convex:

f''(x) ≥ 0

=> [3x^2 - 10x + 4] / (x^2(x - 1)^3) ≥ 0

The solution to the above inequality is: 1 < x < (5 - √17)/3 and (5 + √17)/3 < x

Thus, f(x) is strictly convex for 1 < x < (5 - √17)/3 and (5 + √17)/3 < x.

Also, f(x) is strictly concave for x > (5 - √17)/3 and x < 1 or x > (5 + √17)/3 and x < 1.

Therefore, the correct options are:

A. f(x) is strictly convex for any value of x.

C. f(x) is strictly concave if x > 2 + √2.

D. f(x) is strictly convex if 1 < x < (5 - √17)/3 or (5 + √17)/3 < x.

Learn more about function click here:

brainly.com/question/11624077

#SPJ11

if demand is 106 during january, 120 in february, 134 in march, and 142 in april, what is the 3-month simple moving average for may? answer 132 126 138 i don't know yet

Answers

The 3-month simple moving average for May is 132.

To calculate the 3-month simple moving average for May, we need to take the average of the demand values for the three preceding months (February, March, and April).

The demand values for these months are 120, 134, and 142, respectively. To find the moving average, we sum these values and divide by 3 (the number of months):

Moving Average = (120 + 134 + 142) / 3 = 396 / 3 = 132

Therefore, the 3-month simple moving average for May is 132.

The simple moving average is a commonly used method to smooth out fluctuations in data and provide a clearer trend over a specific time period. It helps in identifying the overall direction of demand changes. By calculating the moving average, we can observe that the average demand over the past three months is 132 units. This provides an indication of the demand trend leading up to May. It's important to note that the moving average is a lagging indicator, as it relies on past data to calculate the average.

Learn more about moving average

https://brainly.com/question/29099714

#SPJ11

calculations and Graphs: 1-plot the frequency response of the amplifier with and without feedback for the two types of feedback 2-calculate the feedback factor B for each case. (Note: hfe = 250, hie= 4k omega

Answers

Given data, hfe = 250, hie= 4k omega frequency response with Feedback: To plot the frequency response with feedback, we need to calculate the feedback factor.

Using the formula for the feedback factor B: For series feedback, For shunt feedback, Where Rf and Rin are the values of the feedback resistor and input resistor respectively.

Let the value of the feedback resistor, Rf = 100kohmThe value of the input resistor Rin can be calculated as follows; Rin = hie + REWhere RE is the value of the emitter resistance.

[tex]Rin = hie + RE = 4k + 1k = 5[/tex]kohmFor series feedback,[tex]B = 1 + Rf/RinB = 1 + 100/5B = 1 + 20B = 21[/tex]For shunt feedback, [tex]B = Rf/RinB = 100/5B = 20[/tex]

Hence the feedback factor for series feedback is 21 and for shunt feedback is 20.

Frequency response without feedback: Since there is no feedback in this case, the feedback factor would be 1.

Now to plot the frequency response, we need to find the gain of the amplifier without feedback.

Using the formula for voltage gain of a common emitter amplifier, Where he is the gain of the transistor, RE is the value of emitter resistance and Rin is the value of the input resistor.

Let the value of input resistor Rin be 1kohmGain without feedback, [tex]Av = -hfe x RE/RinAv = -250 x 1/1Av = -250[/tex]

Now using this gain value, we can plot the frequency response of the amplifier without feedback.

To know more about the word amplifier visits :

https://brainly.com/question/33224744

#SPJ11

Given, hfe = 250, hie= 4k ohms. A two-port network can be thought of as a black box which takes in an input (voltage or current) and produces an output (voltage or current), thereby linking two circuits. There are two types of feedback, positive feedback and negative feedback. The process of returning a fraction of the output signal to the input with the objective of stabilizing the system or altering its characteristics is referred to as feedback in electronic circuits.The feedback factor, B can be calculated as B = β/1+ (Aβ) where A is the forward gain and β is the feedback gain.In this problem, the frequency response of the amplifier with and without feedback for the two types of feedback needs to be plotted.

Firstly, the feedback factor needs to be calculated.β = 1/hie = 1/4000 = 0.00025 For voltage-series feedback, the feedback factor is given as:B = β / (1 - Aβ)where A is the voltage gain of the amplifier. The voltage gain, AV is given by:AV = - hfe * Rc / hie With feedback, the voltage gain is given by: AVF = - hfe * Rc / (hie (1 + B))

Without feedback, the voltage gain is given by: AV0 = - hfe * Rc / hie Where Rc is the collector resistance.1. Plot the frequency response of the amplifier with and without feedback for the two types of feedback:Voltage-Series Feedback With feedback, the voltage gain is given by: AVF = - hfe * Rc / (hie (1 + B)) AVF = -250 * 1k / (4k (1 + 0.00025)) = -0.62 Without feedback, the voltage gain is given by:AV0 = - hfe * Rc / hieAV0 = -250 * 1k / 4k = -62.5 The frequency response can be plotted as follows:Voltage-Shunt Feedback With feedback, the voltage gain is given by:AVF = - hfe * (Rc || RL) / hie(1 + B))AVF = -250 * (1k || 10k) / (4k (1 + 0.00025)) = -2.40 Without feedback, the voltage gain is given by:AV0 = - hfe * (Rc || RL) / hieAV0 = -250 * (1k || 10k) / 4k = -53.57 The frequency response can be plotted as follows:2. Calculate the feedback factor B for each case.Voltage-Series Feedback: B = β / (1 - Aβ) = 0.00025 / (1 - (-62.5 * 0.00025)) = 0.0158

Voltage-Shunt Feedback: B = β / (1 - Aβ) = 0.00025 / (1 - (-53.57 * 0.00025)) = 0.0134

To know more about circuits visit:

https://brainly.com/question/2969220

#SPJ11

10.16 - Dynamics of Rotational Motion: Rotational Inertia Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 35.0 h by exerting an opposing force at and parallel to the equator. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.70×10
7
N (a little greater than a Saturn V rocket's thrust). How long must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.) Explicitly show how you follow the steps found in Problem-Solving Strategy for Rotational Dynamics. Tries 0/10

Answers

Zorch would need to exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

To determine the time required for Zorch to accomplish his goal, we can follow the steps in the Problem-Solving Strategy for Rotational Dynamics:

Step 1: Identify what is given and what is asked for.

Given:

Force exerted by Zorch: 3.70×10^7 N

Desired period of Earth's rotation: 35.0 hours

Asked for:

Time Zorch must push with this force

Step 2: Identify the principle(s) or equation(s) needed to solve the problem.

The principle of rotational dynamics that we can use is:

Torque (τ) = Inertia (I) × Angular Acceleration (α)

Step 3: Set up the problem.

Zorch wants to slow down Earth's rotation, which means he wants to decrease its angular velocity. To do this, he needs to exert a torque in the opposite direction of Earth's rotation. The torque required can be calculated as:

τ = I × α

Step 4: Solve the problem.

The inertia (I) of Earth can be approximated as I = 0.330 × 10^38 kg·m² (a known value).

The angular acceleration (α) can be calculated using the equation:

α = Δω / Δt

Since Zorch wants to slow Earth's rotation to once per 35.0 hours, the change in angular velocity (Δω) is given by:

Δω = 2π / (35.0 hours)

Now, we can rearrange the equation τ = I × α to solve for time (Δt):

Δt = τ / (I × α)

Substituting the given values, we get:

Δt = (3.70×10^7 N) / (0.330 × 10^38 kg·m² × (2π / (35.0 hours)))

Evaluating this expression will give us the time required for Zorch to push with the given force. The result is approximately 1.15 years.

Therefore, Zorch must exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

Learn more about hours here:

https://brainly.com/question/13349617

#SPJ11

what is the mathematical formula used for congressional apportionment?

Answers

The mathematical formula used for congressional apportionment in the United States is the Method of Equal Proportions, represented by V = (P / √(n(n+1))).

The mathematical formula used for congressional apportionment in the United States is known as the Method of Equal Proportions. This formula is used to allocate the 435 seats in the House of Representatives among the 50 states based on population data from the decennial census.

The specific formula for apportionment is as follows:

V = (P / √(n(n+1)))

Where:

- V represents the priority value or priority score for each state

- P represents the state's population (using the most recent census data)

- n represents the number of seats already allocated

The apportionment process starts with an initial allocation of one seat to each state. Then, using the formula, the priority value is calculated for each state based on its population and the number of seats already allocated. The seat is then assigned to the state with the highest priority value, and the process continues iteratively until all 435 seats are allocated.

It's important to note that after each seat is allocated, the formula is recalculated with the updated number of seats already assigned to each state to determine the priority values for the remaining seats.

The Method of Equal Proportions is just one of the apportionment methods used in various countries. In the United States, it is the formula currently utilized for congressional apportionment, but it can be subject to debate and potential challenges due to its limitations and potential for small deviations from strict proportionality.

To know more about congressional apportionment, refer here:

https://brainly.com/question/1130701

#SPJ4

Find the arc length of the curve below on the given interval. y=2x3/2 on [0,5] Which of the following is the length of the curve? A. 27/2​[462/3−1] B. 2/27​[462/3−1] C. 2/27​[463/2−1] D. 27/2​[463/2−1]

Answers

Length of curve = L = (1/27) * (46^3 - 1) . Therefore, the option D is correct.

We are supposed to find the arc length of the curve y = 2x^(3/2) on the given interval [0, 5].

If y = f(x) is continuous and smooth curve between x = a and x = b then the length of the curve is given by

L = ∫[a, b] sqrt[1 + (f'(x))^2] dx.

Now, we need to find the derivative of y w.r.t x.

So,

dy/dx = (d/dx) 2x^(3/2)dy/dx

= 3x^(1/2)

Substitute this value in the formula for arc length,

∫[0, 5] sqrt[1 + (f'(x))^2] dx

∫[0, 5] sqrt[1 + (3x^(1/2))^2] dx

Let u = 1 + 9x

⇒ du/dx = 9

Simplifying the integral, we get

∫[1, 46] sqrt(u)/9 du

Taking 1/9 outside the integral, we get

(1/9) ∫[1, 46] sqrt(u) du

Again, let

u = v²

⇒ du = 2v dv

Simplifying and solving for integral, we get

(1/9) ∫[1, 46] v² dv(1/9) [(v³)/3] [1, 46]((1/9) * (46^3 - 1^3)) / 3

Length of the curve = L = (1/27) * (46^3 - 1)

Therefore, the option D. 27/2​[463/2−1] is the length of the curve.

Know more about the Length of the curve

https://brainly.com/question/31376454

#SPJ11

Other Questions
Outline the operation of a non-inverting differentiator. Is the circuit able not to have at DC the embedded Op Amps output node stick to a voltage level determined by one of the DC voltage supplies? Explain. Anna's Antiques expects to get two bidders for the unique china teacup it sells. Each of the bidders can either have a high-value of $100 or a low-value of $70 with equal probability. If Anna receives $100 from the auction she can infer that Both the bidders were high value bidders Both the bidders were low value bidders One of the bidders was high value, while the other was low value All of the above Question 12 Anna's Antiques expects to get two bidders for the unique china teacup it sells. Each of the bidders can either have a high-value of $100 or a low-value of $70 with equal probability. If Anna holds an auction between the two bidders, and both have high values, she would earn from the auction. Just above $100 $100 Just above $70 $70 the percentage change in the cpi from one period to another is called D'NAZ Car Service Centre Sdn Bhd is a car workshop business located in Kelang area. The business employs a Workshop Supervisor, five Service Technicians and a General Clerk. A customer that sends car for maintenance service and repair at the workshop would initially be attended by the Workshop Supervisor. After dealing with the customer regarding the service or repair job that should be carried out on the customer's car, the Workshop Supervisor would fill-in a prenumbered service order form, stating detailed particulars of the agreed job. The service order form is then handed over to one of the Service Technicians selected by the Workshop Supervisor. Based on the particulars stated on the service order form, the assigned Service Technician would do the necessary maintenance service or repair job. Any spare parts and components required for the service or repair job would be obtained directly by the Service Technician from the General Clerk. The General Clerk is responsible for safekeeping, ordering and issuance of the company's spare parts and components. If the spare parts or components needed for the repair or service job is not available at the workshop, the General Clerk would select a supplier, negotiate the price and place an order by telephone. When the ordered spare parts or components are delivered by the supplier's despatch employee, the General Clerk would immediately pay cash based on the amount that has been agreed when the spare parts were ordered. After a particular service or repair job has been completely done, the Service Technician would perform a test drive of the car. If he is satisfied with the condition of the car, he would sign on the service order form and give the form to the General Clerk. The General Clerk would prepare a 2-copy cash bill based on the service order form. Copy-1 of the cash bill is issued to the customer immediately after cash is received by the General Clerk, whereas copy-2 of the cash bill is attached together with the service order form. Both documents would then be filed for reference purposes. The General Clerk records the payments received from the customer in a Cash Receipts Journal after calculating the total amount of collections at the end of the day. Before the workshop is closed for a particular day, the General Clerk would hand over the total cash collected to the Workshop Supervisor. Then, he deposits the daily cash collected into the business bank account by using the Cash Deposit Machine at a nearby bank. After running the business for almost one year, Nazmah, the managing director noticed that the business is not so profitable. Nevertheless, she is satisfied with the present internal control system since no cash shortage was noted so far. She trusted the Workshop Supervisor and the General Clerk in handling the business daily operations because the Workshop Supervisor is her husband and the General Clerk is her stepdaughter. 2 Mr. Mustaffa Bin Bukhari UDE 2005 / T4 / 15 & 16.10.2018 Auditing II Tim Urban, owner/manager of Urban's Motor Court in Key West, is considering outsourcing the daily room cleanup for his motel to Duffy's Maid Service. Tim rents an average of 50 rooms for each of 365 nights (365 x 50 equals the total rooms rented for the year). Tim's cost to clean a room is $13.50. The Duffy's Maid Service quote is $19.00 per room plus a fixed cost of $25,000 for sundry items such as uniforms with the motel's name. Tim's annual fixed cost for space, equipment, and supplies is $65,000 describe the algorithm using a flowchart and then use python toimplement the algorithm. define variables to hold a midtrm exmscore and a finl exm score, define a third to gold a final coursepercent in dns, what is the difference between a zone and a domain? what is the difference between an a record and a ptr record? A General Manager of the Hotel is NOT the best cook, bestserver, best front desk agent, or the best room attendant. Stillhow come he supervises and becomes the head of all of them? Simone Martinis rendition of Annunciation may have been inspired by ____.a. the etiquette of chivalric courtsb. religious processionsc. mystery playsd. public trials The length of an arc of a circle is 26/9 pi centimeters and the measure of the corresponding central angle is 65 . What is the length of the circle's radius? Candidates for presidential nomination are eligible to receive federal matching funds if they raise enough money on their own, and if they agree to which of the following?Group of answer choicesA.not to run as an Independent candidate if they lose the nominating race.B.to limit their total campaign spending to a specific amount by law.C.to participate in televised debates along with the other candidates.D.to refrain from using negative advertising to attack their opponents.E.to enter the first contest in Iowa and New Hampshire. LetF(x)=f(x7)andG(x)=(f(x))7. You also know thata6=15,f(a)=2,f(a)=4,f(a7)=4ThenF(a)=___andG(a)=___ Once the dragster in the previous question (2, a) passes the finish line it releases parachufes to work with the rolling resistance to help it come to a stop. The parachutes together provide a resistance of 28kN, and the frictional resistance acting on the dragster is 16.2kN. Recall the dragiter had a velocity of 147.5 m/s at the finish line, and a mass of 1500 kg. (i) Sketch a free body diagram of the situation and ealculate and show the net fore on it. (2 marks) (ii) Determine the change in kinetic energy on the dragster for it to come to a stop and list two possible places this energy is transferred to. (2 marks) (iii) Using energy principles determine the distance the dragster can stop in, correct to 3 significant figures Algebraically determine the market equilibrium point. Supply: p=1/4^q^2+10 Demand: p=866q3q^2 FILL THE BLANK.a major problem during the great depression created by a weak banking system was blank____ 5. Caiculate the force F required to move the object down the inclined plane as shown if the FRICTION ANGLE is \( 22^{\circ} \). How does accounts receivable affect the statement of cash flows for 2012?A. a use of $4,218 of cash as an investment activityB. a source of $807 of cash as an operating activityC. a use of $4,218 of cash as a financing activityD. a source of $807 of cash as an investment activityE. a use of $807 of cash as an operating activity I need java codes.Write a program that: - Asks the user to enter five (5) decimal numbers. - These numbers must be stored in an array. - Uses a for loop display the numbers in the array to the screen - Displays the siz what motif is present in both myth and the modern story Using the knowledge of comparative education, design a educationcurriculum that would suite all countries.