To determine how much effort the gas undergoes as it changes from its original condition to its final one, Nora and Bob utilize the area underneath the line separating the two states and the first rule of thermodynamics.
When a gas changes from its initial condition to its final state, Nora and Bob explain how to compute the work that is done. They talk about compressing gas, thus something is being done to the gas.
You suggest using the area under the line separating the final and initial states to calculate the work done as well as the application of the first equation of thermodynamics, q=w.
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when you represent a three-dimensional object graphi- cally in the plane (on paper, the blackboard, or a com- puter screen), you have to transform spatial coordinates,
The simplest choice is a linear transformation, for example, the one given by the
matrix [tex]\left[\begin{array}{ccc}-1/2&1&0\\-1/2&0&1\end{array}\right][/tex]
What is spatial coordinates and plane coordinates?When compared to pixel coordinates, spatial coordinates provide for a finer level of image position specification. The pixel coordinate system, for example, treats a pixel as a discrete unit that is uniquely recognized by an integer row and column pair, such as (3,4). The pixel coordinates are the default way that spatial coordinates of a picture are related. In row 5, column 3, for instance, the center of the pixel has spatial coordinates of x = 3 and y = 5, for example. The coordinates are inverted, so keep that in mind.When you represent a three-dimensional object graphically in the plane con paper, the blackboard, or a computer screen), you have to transform spatial coordinates,
[tex]$\mathrm{x} 1$ & \\[/tex]
[tex]$\mathrm{x} 2$[/tex] & into plane coordinates
[tex]$\mathrm{x} 3$[/tex]& [tex]$\mathrm{y} 1$[/tex]& [tex]$\mid$ \\[/tex]
[tex]$\mathrm{x}$[/tex] &[tex]$\mathrm{y} 2$[/tex] &
The simplest choice is a linear transformation, for example, the one given by the
matrix [tex]\left[\begin{array}{ccc}-1/2&1&0\\-1/2&0&1\end{array}\right][/tex]
The complete question is,
When you represent a three-dimensional object graphically in the plane (on paper, the blackboard, or a computer screen), you have to transform spatial coordinates | x 1 | | x 2 | into plane coordinates | y 1 |. | x 3 | | y 2 | The simplest choice is a linear transformation, for example, the one given by the matrix | -1/2 1 0 0 | 1 |.
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In the figure below lines A and B are parallel.Find the m<5 if m<1=75 and m <3=40
The unknown angle in the parallel lines is a follows;
m∠5 = 75 degrees
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.
Therefore, let's use the angle relationships to find the m∠5 in the parallel lines.
The angle m∠1 and m∠5 are corresponding angles.
Corresponding angles are congruent.
Therefore,
m∠1 = m∠5 = 75 degrees.
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If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t − 1.86t2. (Round your answers to two decimal places.)
(a) Find the average speed over the given time intervals. (i) [1, 2] m/s (ii) [1, 1.5] m/s (iii) [1, 1.1] m/s (iv) [1, 1.01] m/s (v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s
48.28 m/s is the speed .
What is the definition of a velocity simple?
The speed at which a body or object is moving determines its direction of motion. Most of the time, speed is a scalar quantity. Velocity is fundamentally a vector quantity.
The rate at which distance changes is what it is. It measures the displacement's rate of change.
Height, y = 52t - 1.86t²
Velocity = ∆y/∆t = 52 - 1.86 * 2t = 52- 3.72t
A. Average velocity = (v1 + v2)/2
(i) At t = 1, 2
Average velocity = (52 - 3.72*1 + 52 -3.72*2)/2 = 46.42 m/s
(ii) At t = 1,1.5
Average velocity = (52 - 3.72*1 + 52 - 3.72*1.5)/2 = 47.35 m/s
(iii) At t = 1,1.1
Average velocity = (52 - 3.72*1 + 52 -3.72*1.1)/2 = 48.09m/s
(iv) At to = 1, 1.01
Average velocity = (52 - 3.72*1 + 52 - 3.72*1.01)/2 = 48.26 m/s
(iv) At t = (1, 1.001)s
Average velocity = (52 - 3.72*1 + 52 - 3.72*1.001)/2 = 48.28 m/s
B. Speed at t = 1s
Velocity = 52 - 3.72 * 1 = 48.28 m/s
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Solve using the following equation and the listed values for the variables. Round your final answer to 2 decimal places A+B)/2) (a+b)/2) Where A = 21, B = 20,X = 19, Y = 20.
The average of two numbers, A and B, is calculated by adding them together and then dividing by two. In this case, A = 21, B = 20, X = 19, and Y = 20. When we calculate (A + B) / 2, we get 20.00.
1. Add A and B together: 21 + 20 = 41
2. Divide the sum by 2: 41 ÷ 2 = 20.50
3. Round the answer to two decimal places: 20.50 → 20.00
The average of two numbers, A and B, is calculated by adding them together and then dividing by two. This formula is expressed as (A + B) / 2. In this problem, we were given the values A = 21, B = 20, X = 19, and Y = 20. To solve for the average, we first need to add A and B together and get 41. Then we divide this sum by two and get 20.50. To get the final answer, we need to round this value to two decimal places, which results in the answer 20.00. This answer indicates that the average of 21 and 20 is 20.00.
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Chose two situations that describe volume
A measuring
The two situations that describe the volume:
A. the amount of shampoo in a bottle.
B. the amount of soap in a bar of soap.
What is volume?The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.
Four phrases are given.
A. the amount of shampoo in a bottle.
This describes the volume.
B. the amount of soap in a bar of soap.
This also describes the volume.
c. the amount of border around a chalkboard.
This describes the perimeter.
D. the amount of wrapping paper covering a gift
This describes the surface area.
Therefore, A and B describe the volume.
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The complete Question:
Choose all the examples that describe volume.
A. the amount of shampoo in a bottle
B. the amount of soap in a bar of soap
c. the amount of border around a chalkboard
D. the amount of wrapping paper covering a gift
given constants $a,$ $b,$ and $c,$ let $\alpha$ and $\beta$ be solutions to the equations \[a \cos \theta b \sin \theta
A constant is fixed, which is arbitrary since you don't know what that fixed number is the arbitrary denotes that no particular value has been ascribed.
The order of a differential equation is equal to the number of arbitrary constants in its general solution.
The highest-order derivative that a differential equation has is used to define the equation's order. The highest-order derivative of a differential equation is defined as its degree, which is expressed as a power. The formula:
c1=a1+ib1
and c2=a2+ib2
the solution will be
y(x)=(a1+ib1+a2+ib2)cos(ax)+i(a1+ib1−a2−ib2)sin(ax)
If and only if
a2=a1
and b2=−b1
will be the solution real because of complex conjugates using this property.
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Full question
Can arbitrary constants in solutions to 2nd-order linear differential equations be complex?
...........,.........,
Answer:
Step-by-step explanation:bmmmv m
data was collected at two local bookstores to determine if the average price of new textbooks was significantly lower at an independent bookstore than at the uf bookstore. the p-value was 0.00, and the 95% confidence interval was ( -11.98, -4.52).
An Interval is all the numbers between two given numbers. 95% confidence level would result in a wider confidence interval.
What is interval in math?
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.Introducing intervals, bounded collections of numerical values that are highly helpful in explaining domain and range. To demonstrate where a value lies in relation to two endpoints, we can use interval notation. For instance, the expressions -3x2, [-3,2], and xR|-3x2 all denote that x is between -3 and 2, and either endpoint could be it.An inequality can be used to find an interval. The interval employs the inequality symbols to show whether the endpoints are included in the interval and uses the boundaries of the inequality as endpoints. The interval is defined as the values lying between the endpoints.Given data :
confidence interval = ( -11.98, -4.52)
-11.98≤x≤-4.52, [-11.98,-4.52], and {x∈ℝ|-11.98≤x≤-4.52} all mean that x is between -11.98 and -4.52 and could be either endpoint.
95% confidence level would result in a wider confidence interval. Increasing the confidence level increases the length of the confidence interval.
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Gombak Mega Store is having its Year-End-Sales. Ten percent, five percent and twenty percent discounts were given on shoes, handbags and watches respectively if two or more units of each item were bought. Noor bought three pairs of shoes, two units of handbag and one unit of watch. If the price (per unit) of shoes, handbag and watch is RM150, RM200 and RM250 respectively, how much money does Noor has to pay?
Answer:
$963.00
Step-by-step explanation:
.9(3x150) + .95(2x200) + 250
.9(450) + .95(400) + 250
405 + 308 + 250 = 963
If we are taking 10% off, that is like leaving 90% (.9) on.
If we are taking 5% off, that is like leaving 95% ( .95) on.
No discount for the watch because she only bought one.
Teachers in a district have been teaching for a mean of 8 years with a standard deviation of 3 years, and the distribution of years teaching is strongly skewed to the right. Suppose we took random samples of 30 teachers from this district and calculated x as the sample mean of how long each group of teachers had been teaching. We can assume that the teachers in each sample are independent.
Answer:C. Approx. Normal
Step-by-step explanation:
question 1 fill in the blank: data aggregation involves creating a ____collection of data that originally came from multiple sources.
Data aggregation involves creating a unified collection of data that originally came from multiple sources.
It is the process of combining data from multiple sources into one file, report or summary. Data aggregation can be done using a variety of methods, such as mathematical formulas, grouping, filtering and sorting. For example, a mathematical formula can be used to calculate the average of a set of numbers. Grouping data can be used to divide data into categories and subcategories, such as by country or by product. Filtering data involves removing unnecessary or unwanted data, such as outliers or irrelevant information. Finally, sorting data can be used to organize data in a specific order, such as alphabetically or numerically. Data aggregation is a useful tool for making sense of large datasets and providing greater insight into the data.
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Asap please
Which one is correct
Answer: D. The distance from A to C
Step-by-step explanation:
This formula can be used to find the distance between two points on a three-dimensional coordinate system:
D(x, y, z) = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} + (z_{2} - z_{1})^{2} }[/tex]
If you apply the formula for all options, you will find the distance from A to C is equal to [tex]\sqrt{5}[/tex]. The other distances are:
A. [tex]\sqrt{17}[/tex]
B. [tex]\sqrt{45}[/tex]
C. [tex]\sqrt{44}[/tex]
So, the answer is D.
2.87 x 7.8
eeeeeeeeeeeeeee
Answer:
22.386
Step-by-step explanation:
the dot product of two vectors with magnitudes of 10 and 6 is equal to 30. What is the angle formed by the vectors
If the magnitude of two vectors is 10 and 6 and their dot product is 30, then the angle between the vectors is 60°.
What is a vector?
A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. Euclidean vector, geometric vector, and spatial vector are other names for it.
There are two ways to define a dot product: algebraically and geometrically. The sum of the products of the matching entries of the two number sequences is the definition of the dot product in algebra. Geometrically, it is the sum of the cosine of the angle formed by the two vectors and their Euclidean magnitudes.
The magnitude of the vector 1 is, |a| = 10
The magnitude of the vector 2 is, |b| = 6
The dot product of the two vectors is, a·b = 30.
The formula for dot product of vectors is -
a·b = |a| |b| cos θ
Solve the equation to get the angle -
30 = (10 × 6) cos θ
30 = 60 cos θ
cos θ = 30/60
cos θ = 1/2
θ = cos^-1 (1/2)
θ = 60°
Therefore, the angle is obtained as 60°.
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A linear relationship is given in the table.
x y
−1 6
0 3
1 0
2 −3
What is the slope of the relationship?
−3
−2
2
3
From the given points, it was found that the slope is m= -3.
Linear FunctionYou can correlate two data from a function. An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=9x+5. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=9 and b=5.
The question gives some points of the linear function, see below.
x y
−1 6
0 3
1 0
2 −3
From the given data you can find the slope by solving the system linear equation.
You can write a system linear equation using the points: (-1,6) and (2,-3), for example.
6=m*(-1)+b (1)
-3=2m+b (2)
Multiplying equation 2 by -1, you have
6=-m+b (1)
3= -2m-b (2)
Summing the previous equation, you have:
9=-3m
m= -9/3
m= -3
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Answer: the answer is A
Step-by-step explanation: I took the text and got it right
The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?
10. 9. 5. 19. 17
13. 2. 0. 4. 10
1. 16. 9. 7. 3
15. 17. 18. 16. 6
The class interval [15-19] has the greatest frequency, and the class interval [10-14] has the least frequency
How to determine the frequency distributionFrom the question, we have the following parameters that can be used in our computation:
10. 9. 5. 19. 17
13. 2. 0. 4. 10
1. 16. 9. 7. 3
15. 17. 18. 16. 6
Using a class of 5, we have the following class intervals
0 - 4, 5 - 9, 10 - 14 and 15 - 19
When the frequencies of each class are counted, we have the following table
Interval Midpoint Frequency R/F C/F
0 - 4 2 5 5/20 5
5 - 9 7 5 5/20 10
10 - 14 12 3 3/20 13
15 - 19 17 7 7/20 20
using the above as a guide, we have the following:
The class interval [15-19] has the greatest frequency 7
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Calculate the Scale Factor given the points A( 12, 4) and A' (9, 3).
The Scale Factor is 0.75, or 3/4
What is scale Factor?Scale factor is a ratio of two related lengths, areas, volumes, or other quantities. It is used to describe how a figure is enlarged or reduced in size. For example, when a figure is enlarged, the scale factor is greater than one, and when a figure is reduced, the scale factor is less than one. Scale factors can be used to calculate the lengths of sides and areas of figures when one side or area is known.
The Scale Factor is calculated by dividing the coordinates of point A' (9, 3) by the coordinates of point A (12, 4). Therefore, the Scale Factor is 0.75, or 3/4.
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P=C+MC solve for C?
All terms should be shifted to the left and set to zero. After that, make each factor equal to zero. [tex]C=\frac{P}{1+M}$$[/tex]
What is the solution of the term P=C+MC for C ?P=C+M C
As C + M C = P, rewrite the equation.
C+M C=P
Add C to the equation on both sides. .MC=P−C
Simplify M C = P C by dividing each term by C.
Divide each phrase into [tex]$M C|=| \boldsymbol{P}-\boldsymbol{C}$[/tex] by C
[tex]\frac{M C}{C C} \equiv \frac{P}{C}+\frac{-C}{C}$$[/tex]
C's common factor should be cancelled.
[tex]$M=\frac{P}{C}+\frac{-C}{C}$[/tex]
M=PC−1
An equation that is mostly made up of letters is said to be literal. Literal equations include those found in formulas. Each variable acts as a "literal" representation of an essential element of the overall relationship that the equation expresses. For instance, P = 2L + 2W is a formula for expressing a rectangle's perimeter.
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region r is the base of a solid. for this solid, each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in r. find the volume of the solid.
Without the equation of the graph of the region R, it is not possible to determine the volume of the solid defined by a region R, an isosceles right triangle cross-section, and a line y=k.
The question describes a solid where the base is a region R in the first quadrant, bounded by the graph of y, the x-axis, and the line y = k.
It is also mentioned that each cross section perpendicular to the y-axis is an isosceles right triangle with the right angle on the x-axis and one leg in the XY-plane.
However, the equation of the graph of the region R is not given, which makes it impossible to determine the range of y over which the solid is defined and therefore, calculate the volume of the solid. It's very important to have the equation of the graph of the region R to find the volume of the solid.
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The question is -
Let R be the region In the first quadrant bounded by the "graph of y the !-axis, and the line y The region R Is the base of a solid For the solid, each cross section perpendicular [tex]t_0[/tex] to the y-axis Is an isosceles right triangle with the right angle on the !-axis and one leg in the 1y-plane What is Ithe volume of the solid?
A car owner pays for new brakes that cost $756.25, with a credit card that has an annual rate of 24.5%. Determine the total amount paid, if the car owner pays $100 a month, until the balance is paid off.
The total amount paid with a monthly payment of $100 for a credit of $756.25 at an annual rate of 24.5% is $871.69.
What is a periodic payment?The periodic payment is the amount the car owner pays monthly to offset the balance on the credit card for purchasing new brakes.
The periodic payment is determined using an online finance calculator as follows:
N (# of periods) = 1 year
I/Y (Interest per year) = 24.5%
PV (Present Value) = $756.25
PMT (Monthly Payment) = $100
Results:
Sum of all periodic payments = $871.69
Total Interest = $115.44
Thus the total payment made by the car owner is $871.69 with an interest of $115.44.
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Answer:
$830.52
Step-by-step explanation:
I got it right on the test :)
Have great day
please answer this timed question
Answer:
50
Step-by-step explanation:
140/x = 168/60
x = 60*140/168 = 50
Answer:
50
Step-by-step explanation:
168/60=2.8
140/2.8=50
The doctor orders 500,000 Unlts of penicillin for the patient: The capsules avallable are 200,OOUnits and 100,000 Units Wlth the fwest capsules how many capsules would be given per dosc? (____) 200,000 mo capsuics (____) 100,000 ma capsulcs
Patient needs to 500,000 unit of penicillin, then according to capsule availability we shall provide the 2 capsules of 200,000 unit and 1 capsule of 100,000 unit.
The doctor orders 500,000 unit of penicillin for the patient. the capsule available are 200,000 unit and 100,000 units.
we have to find out the number of capsules required for 500,000 unit,
let's see,
we have 200,000 unit of penicillin and 100,000 units of penicillin available,
patient need of 500,000 unit of penicillin,
so we shall provide the 2 capsule of 200,000 units of penicillin and 1 capsule of penicillin 100,000 unit to the patient,
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Find the x intercept of the graph of the equation .
2x - 4y = 9
To find the x-intercept of the graph of the equation 2x - 4y = 9, we need to find the value of x when y = 0.
We can solve for x as follows:
2x - 4y = 9
2x - 4(0) = 9 (substitute y = 0)
2x = 9
x = 9/2
Therefore, the x-intercept of the graph of the equation 2x - 4y = 9 is (9/2, 0).
Find the height of the trapeziod.
Answer:
h = 6 m
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
given A = 51 , b₁ = 10 and b₂ = 7 , then
[tex]\frac{1}{2}[/tex] h (10 + 7) = 51 ( multiply both sides by 2 to clear the fraction )
17h = 102 ( divide both sides by 17 )
h = 6 m
Find the height of the trapezoid.
if the area of the trapezoid is [tex]51m^{2}[/tex] and parallel sides are [tex]7m[/tex] and [tex]10m[/tex].
To find the height of the trapezoid, substitute the area and parallel sides into the formula for the area of the trapezoid.
Trapezoid area formula is
[tex]L=\frac{1}{2}(number of parallel sides)(height)\\ L=\frac{1}{2} (a+b)(t)[/tex]
The next step is substitute the area and parallel sides into the formula for the area of the trapezoid.
[tex]51=\frac{1}{2}(7+10)(t)[/tex]
Complete the arithmetic operation
[tex]51=\frac{1}{2}(17)(t)\\ 51=\frac{17}{2}(t)[/tex]
Multiply each side by [tex]\frac{2}{17}[/tex]
[tex]51(\frac{2}{17}) =\frac{17}{2}(\frac{2}{17})(t)\\ 6=t[/tex]
So the height of the trapezoid is [tex]6m[/tex]
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Consider a continuous-time random process, X(t), obtained as the result of a sample-and-hold operation on a noise voltage V(t). IT can be expressed analytically asX(t) = \sum_{n = - \infty }^{\infty} V(nT)h(t- nT)where T is the sampling period and h(t) is the holding pulse,h(t) = 1 \: \: \: \: \: \: 0\leq t \leq Tandh(t) = 0 \: \: \: \: \: \: otherwise
Assume that V(nT) is zero-mean for all n.
Assume that V(nT) has variance\sigma _{v}^{2}for all n.
Assume that T is large enough to render V(nT) and V([n+k]T) statistically independent for all n and for all k\neq0.
A. Find the autocorrelation of X(t).
The holding pulse is nonzero only for[tex]0 \leq t \leq T[/tex], the autocorrelation of X(t) is given by\begin{align}
[tex]R_{xx}(t,t+\tau) =[/tex]
[tex]\begin{cases}\sigma_v^2 \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}h(t-nT)h(t+\tau-mT) & 0 \leq \tau \leq T \\0 & \text{otherwise}.\end{cases}\end{align}[/tex]
The autocorrelation of X(t) is defined as[tex]R_{xx}(t,t+\tau) = E[X(t)X(t+\tau)][/tex]where E[.] is the expectation operator. Since V(nT) has zero mean and is statistically independent, we can write
[tex]R_{xx}(t,t+\tau) &= E[X(t)X(t+\tau)]\\ &= E\left[\sum_{n=-\infty}^{\infty}V(nT)h(t-nT)\sum_{m=-\infty}^{\infty}V(mT)h(t+\tau-mT)\right]\\&= \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}E[V(nT)V(mT)]h(t-nT)h(t+\tau-mT)\\&= \sigma_v^2 \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}h(t-nT)h(t+\tau-mT)\end{align}[/tex]
Since the holding pulse is nonzero only for[tex]0 \leq t \leq T[/tex], the autocorrelation of X(t) is given by\begin{align}
[tex]R_{xx}(t,t+\tau) =[/tex]
[tex]\begin{cases}\sigma_v^2 \sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}h(t-nT)h(t+\tau-mT) & 0 \leq \tau \leq T \\0 & \text{otherwise}.\end{cases}\end{align}[/tex]
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The following inequalities form a system. y is greater than or equal to two-thirds times x plus 1 y is less than negative one-fourth times x plus 2 Which ordered pair is included in the solution to this system? (−6, 3.5) (−6, −3) (−4, 3) (−4, 4)
The ordered pair that is included in the solution to this system of inequalities is: B. (−6, −3)
How to determine the required ordered pair?In order to determine the ordered pair is included in the solution to this system of linear inequalities, we would first of all translate the word problem into an algebraic equation as follows;
y is greater than or equal to two-thirds times x plus 1 ⇒ y ≥ 2x/3 + 1.
y is less than negative one-fourth times x plus 2 ⇒ y < -x/4 + 2.
Next, we would use an online graphing calculator to graphically solve the system of linear inequalities. Therefore, the required solution for the given system of linear inequalities is the shaded area below the solid line, which is given by the ordered pair (−6, −3).
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before the announcement of a three for one stock split, the selling price for a share of a stock in fossil oil refineries was 150 per share. immdeiatley afteyr the stock split, the propable price per share is
The price of the share of stock in fossil oil refineries after the three-for-one split is $50.
A stock split is an event in the stock market when the company declares split of stock into multiple parts to decrease the cost per share and make it easier to purchase.
Given,
The selling price of a stock in fossil fuel before split = $150
After one year the stock split into three parts
∴ Probable prices per share = Price before split/3
= $150/3
= $50
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Please answer it asap, it's missing
To find the value of f(g(-4)), we need to first substitute -4 into the definition of g(x) and then substitute the result into the definition of f(x).
First we substitute -4 into g(x):
g(-4) = 2(-4)^2 + 4(-4) - 8
g(-4) = 2(16) + (-16) - 8
g(-4) = 32 - 16 - 8
g(-4) = 8
Now we substitute 8 into f(x):
f(g(-4)) = f(8) = 2(8) - 4 = 16 - 4 = 12
So the value of f(g(-4)) is 12.
Answer:
28
Step-by-step explanation:
The expression: f(g(-4)) just means calculate the value of g at x = -4 and then calculate what f is equal to at that value g is equal to, so we have to first calculate g(-4) which we can do by substituting in -4 as x.
g(-4) = 2(-4)^2 + 4(-4) - 8
g(-4) = 2(16) - 8 - 8
g(-4) = 32 - 16
g(-4) = 16
Now from here we can substitute 16 as g(-4) in the expression f(g(-4)) which means we want to evaluate g(16) which we can do by substituting in 16 as x.
f(16) = 2(16) - 4
f(16) = 32 - 4
f(16) = 28
So that means f(g(-4)) = 28
Use the ALEKS calculator to evaluate each expression.
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log√7 =
Log 23/6=
Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.
Logarithmic evaluationLog√7 = 1.659Log 23/6 = 0.862It is a rapid increase in the quantity of something over a period of time. Exponential growth can be seen in populations, investments, and other areas.It is characterized by a doubling or tripling of the original amount within a specified period of time.This type of growth is often caused by compounding, where gains from one period are reinvested in the next period, leading to a rapid increase in the overall amount.Exponential growth is often seen in the early stage of a business, when it is experiencing rapid growth due to investments or other factors.However, exponential growth can also lead to rapid decline if not managed properly.This is called logarithmic evaluation, which involves using logarithms to simplify complex expressions.To learn more about logarithmic evaluation refer to:
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decide if you are given enough information to prove that the quadrilateral is a parallelogram practice c
No, you are not given enough information to prove that the quadrilateral is a parallelogram.
In order to prove that the quadrilateral is a parallelogram, we must have four points to calculate the lengths of the sides and angles. We need to verify that the opposite sides of the quadrilateral are equal in length and that the opposite angles are equal. We can use the formula for the area of a parallelogram: A = b*h, where b is the length of the base and h is the height of the parallelogram. We can also use the formula for the sum of the angles of a quadrilateral: A1 + A2 + A3 + A4 = 360 degrees. Without having the four points, we cannot calculate the lengths of the sides or angles, so we cannot prove that the quadrilateral is a parallelogram.
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