What is the equation for a cosecant function with vertical asymptotes found at x equals pi over 3 plus pi over 3 times n comma such that n is an integer?

f (x) = 3csc4x
g(x) = 3csc2x
h(x) = 4cscx
j (x) = 4csc3x

Answers

Answer 1

Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide f (x) = 3csc4x.

How do you find a vertical asymptote?

The denominator of the function, n(x), is the place where vertical asymptotes can be located.

If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

f (x) = 3csc4x.

Periodicity of 3csc(4x) : π / 2

Domain of  3csc(4x) :

Solution : π  / 2 n<x < π  / 4 + π  / 2 n or π /4 + π  / 2 n< x < π /2 + π /2 n

Interval Notation : ( π / 2 n,π /4 + π /2)n) ∪ (π / 4 + π /2 n, π  / 2 + π /2 n)

Range of  3csc(4x) :

Solution : f(x) ≤ -3 or f(x) ≥ 3

Interval notation : ( - ∝ , -3 ) ∪ (3,∝)

Axis interception points of 3csc(4x) :  None

Asymptotes of 3csc(4x) :  vertical: x = π / 2 n, x = π / 4 + π/2 n

extreme points of 3csc(4x) :

Minimum (π /8 + π / 2 n,3 ),

Maximum ( 3π / 8 + π/2n, -3).

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Answer 2

Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide f (x) = 3csc4x.

How do you find a vertical asymptote?

The denominator of the function, n(x), is the place where vertical asymptotes can be located.

If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

f (x) = 3csc4x.

Periodicity of 3csc(4x) : π / 2

Domain of  3csc(4x) :

Solution : π  / 2 n<x < π  / 4 + π  / 2 n or π /4 + π  / 2 n< x < π /2 + π /2 n

Interval Notation : ( π / 2 n,π /4 + π /2)n) ∪ (π / 4 + π /2 n, π  / 2 + π /2 n)

Range of  3csc(4x) :

Solution : f(x) ≤ -3 or f(x) ≥ 3

Interval notation : ( - ∝ , -3 ) ∪ (3,∝)

Axis interception points of 3csc(4x) :  None

Asymptotes of 3csc(4x) :  vertical: x = π / 2 n, x = π / 4 + π/2 n

extreme points of 3csc(4x) :

Minimum (π /8 + π / 2 n,3 ),

Maximum ( 3π / 8 + π/2n, -3).

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Related Questions

Guys i just cant do this my brain doesnt work right now

Answers

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

To find the gradient of the graph, we use the formula,

[tex]gradient \: (m) = \frac{(y2 - y1)}{(x2 - x1)} [/tex]

From the graph, we obtain values for x and y

x1 = 4, x2 = 8

y1 = 2, y2 = 3

Substitute the values into our formula.

[tex]m \: = \frac{(3 - 2)}{(8 - 4)} \\ = \frac{1}{4} [/tex]

Therefore, the gradient, m, =

[tex] \frac{1}{4} [/tex]

Note:-

Use the above formula when determining the gradient of the graph.Obtain the values of x and y then subtract [∆y] and [∆x].Divide the two

A parallelogram has an area of 160 square meters and a height of 4 meters. What is the length of the base of the parallelogram?

Answers

The length of the base is 40 meters

How to determine the length of the base?

We have:

Area= 160 square meters

Height = 4 meters

The area is calculated using:

Area = Base * Height

So, we have:

160 = Base * 4

Divide both sides by 4

Base = 40

Hence, the length of the base is 40 meters

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Solve for x : 2/5x -9 < 3/5x+3
X < 60
X > -60
-x < -60
-x < 60

Answers

Answer:

x>-60

Step-by-step explanation:

Combine multiplied terms into a single fraction

2/5x - 9 < 3/5x + 3

2x/5 - 9 < 3/5x + 3

Find common denominator

2x/5 - 9 < 3/5x + 3

2x/5 + 5(-9)/5 < 3/5x + 3

Combine fractions with the common denominator

2x + 5(-9)/5 < 3/5 + 3

I HOPE YOU GOT THE ANSWER JUST SIMPLIFY IT (2x + 5(-9)/5 < 3/5 + 3) AND YOU WILL GET THE ANSWER YOURSELF AS I HAVE GIVEN ABOVE PLS MARK ME AS THE BRAINLILEST IF YOU LIKE TO AND MY ANSWER HELPED YOU:)

Answer:

[tex]\boxed {x > -60}[/tex]

Step-by-step explanation:

2/5x - 9 < 3/5x + 3

-1/5x < 12

x > -12 x 5

x > -60

Using the diagram, if angle 3 + angle 4 is a straight line then what is the total
measure?

Answers

Answer: 180 degrees

Step-by-step explanation:

Angles on a line add to 180 degrees since they form a straight angle.

Evaluate each expression for r=9 n t=14 enter in your numerical answer

Answers

Answer:

1764

Step-by-step explanation:

[tex]from \: the \: question \: rt {}^{2} \\ were \: r =9 \\ and \: t = 14 \\ rt {}^{2} = 9 \times (14) {}^{2} = 9 \times 196 = 1764[/tex]

Hii!

__________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer.}\circ \leftharpoonup[/tex]

1764

[tex]\rightsquigarrow\circ\boldsymbol{Explanation.}\circ\leftharpoonup[/tex]

Stick in the values: 9 for r and 14 for t, and simplify.

[tex]\twoheadrightarrow\sf 9\cdot14^2}[/tex]

[tex]\bullet[/tex] Square 14 first

[tex]\twoheadrightarrow\sf 9\cdot196}[/tex]

[tex]\bullet[/tex] Multiply the numbers

[tex]\twoheadrightarrow\sf 1764}[/tex]

[tex]\bullet[/tex] Great job! We found the answer

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

A
Find the value of x.
6
X
B
D
x = [?]
8
4
C

Answers

Answer:

x = 3

Step-by-step explanation:

8/2 = 4

6/2 = 3

x = 3

Can someone help me? I’ll give Brainliest to whoever answers correctly first

Answers

Answer:Angle C=68 degrees

Step-by-step explanation:

The solution is in the

-750 DEGREE TO RADIAN

Answers

Degree to radian

2pi = 360 degree
If we divide 360 by 2
Pi = 180 degrees
To find 1 radian in degree
180/pi
Cause

Pi = 180 degree
/pi /pi

1 radian = 189/ pi

what is the probability that s+d>3 and s.d>3? write your answer as a decimal rounded to hundreth place

Answers

The probability that s+d > 3 and sd > 3 is 0.03.

Solution

Plot the inequalities

The region -5 ≤ s,d ≤ 5 is the square shaded in grey.

The region s + d > 3 is the region Q shaded to the right of the straight line.

The region sd > 3 is the region R shaded to the right of the curve d = 3/s.

Find the intersection of the three regions

From the figure, the region satisfying all the above three inequalities is the region to the left of the curve d = 3/s, bounded by the square region, i.e. the region R.

Probability of region R

The required probability is the Geometric probability of the intersection region R. It is calculated as

P(R) = ar(region R) / ar(square region P).

Calculate the areas of the regions

ar(region R) = area of the rectangle to the right in the first quadrant formed by dropping a vertical from point F - area under the curve d = 3/s in the first quadrant

[tex]\[\Rightarrow \;\; \mathrm{ar(\mathbf{R}) =} \int_{3/5}^5\frac{3}{s}ds = 25-3-3\ln\frac{25}{3} = 15.64.\][/tex]

ar(region P) = 25 × 25 = 625.

Calculate P(R)

The probability of the region R, P(R) = 15.64 / 625 = 0.025.

Rounding it to the hundredth place of decimal, P(R) = 0.03.

The probability that s+d >3 and sd>3, where -5 < s,d < 5, is 0.03.

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Question

What is the probability that s + d > 3 and sd > 3, where -5 ≤ s,d ≤5? Write your answer as a decimal rounded to the hundredth place.

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Given: m∠ELG = 124°

Prove: x = 28

3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.

Answers

Answer:

By using opposite angles of two intersecting straight lines are congruent we proved that x = 28°

Step-by-step explanation:

Opposite angles of two intersecting straight lines are congruent

Therefore ∠DLE = ∠GLH

Here ∠DLE = 2x = ∠GLH

Sum of all angles on a straight line is 180°

Therefore ∠ELG + ∠GLH = 180°

Given that ∠ELG = 124°

124° + ∠GLH = 180°

124° + 2x  = 180°

2x = 180° -  124°

2x = 56°

x = 28°

hence proved that x = 28°

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A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have? translational and rotational rotational and reflectional reflectional and translational glide reflectionalA section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?

translational and rotational

rotational and reflectional

reflectional and translational

glide reflectional

Answers

Answer:

The given tessellated plane has translational and rotational symmetry. From the given options, we find that option A is correct.

Step-by-step explanation:

Concept: The symmetry has to be decided in such a way that when it applies to a figure, we get exactly the next figure. In the given figure, we have translational and rotational symmetries. We can translate the triangles to the next position and get the same triangle. Or we can rotate the triangle about the point of contact and get the same triangle.

For example, take the top left triangle. If it is translated towards approximately 30° direction, then we will get the triangle present at the top.

Or when we turn that triangle about the point of contact of that and the topmost triangle, then we can get the topmost triangle.

But there is no reflectional symmetry due to the absence of symmetry line.

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Express 10/4 as a mixed fraction ​

Answers

The answer is (2 1/2) but without the brackets

Hey there!


10/4

≈ 10 ÷ 2 / 4 ÷ 2

≈ 5/2

≈ 2 1/2


Therefore, your answer should be:

2 1/2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

for the function f(x)=5(x+2) find f (2)

Answers

Answer:

20

Step-by-step explanation:

To calculate f(2), just replace x in the equation of f(x) with 2:

[tex]f(x) = 5(x + 2)\\\\f(2) = 5(2+2)\\\\f(2) = 5(4)\\\\f(2) = 20[/tex]

What is the solution to 3(–3x + 9) = −18?
O x = -5
O x = 5 or x=1
O x = -5 or x = 1
no solution

Answers

Answer:

x = 5 (If solved algebraically)

No Solution (If the parentheses are absolute value lines)

Step-by-step explanation:

Result when solving this way: 3|-3x + 9| = -18

1) Divide both sides by 3
|-3x + 9| = -18/3

2) Simplify 18/3 to 6

|-3x + 9| = -6

3)  Break down the problem into these 2 equations.

-3x + 9 = -6

- (-3x + 9) = -6

4) Solve the 1st equation: -3x + 9 = -6

- Subtract 1 from both sides.

-3x = -6 - 9

-Simplify -6 - 9 to -15.

-3x = -15

-Divide both sides by -3.

x = -15/-3

- Two negatives make a positive.

x = 15/3

- Simplify 15/3 to 5.

x = 5

6)  Solve the 2nd equation:  - (-3x+ 9) = -6

1 - Remove parentheses

3x - 9 = -6

2 - Add 9 to both sides

3x = -6 + 9

3 - Simplify -6 + 9 to 3.

3x = 3

- Divide both sides by 3.

x = 1

6) Collect all solutions.

x = 1,5

7) Check solution.

When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 1 from the solution set.

8) Check solution.

When x = 5, the original equation 3|-3x + 9| = -18  does not hold true.

We will drop x = 5 from the solution set.

9) Therefore,

No solution exists.

Result when solving algebraically:

Simplifying

3(-3x + 9) = -18

Reorder the terms:

3(9 + -3x) = -18

(9 * 3 + -3x * 3) = -18

(27 + -9x) = -18

Solving

27 + -9x = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -9x = -18 + -27

Combine like terms: 27 + -27 = 0

0 + -9x = -18 + -27

-9x = -18 + -27

Combine like terms: -18 + -27 = -45

-9x = -45

Divide each side by '-9'.

x = 5

Simplifying

x = 5

If x is 0 what is 1/3 times as large

Answers

Answer:

0

Step-by-step explanation:0 times anything is still 0

what is the average daily balance for the February 1-28 billing period in the table?​

Answers

i think it’s 311.75?
i added the closing balances and divided by the 4 selected days

either that or 44.54 if you divide by 28 days of February instead…

i might be wrong though

An entertainment company is opening a theme park in a nearby city. They are in the process of designing the theatre where a water show will take place. The following design is already under construction and will house the dolphins that perform in the show:
Main Show Tank Calculation:

The main show tank has a radius of 70 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.

Holding Tank Calculations:

The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 35 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.

You must show all steps and provide any evidence needed in your solution to receive full credit.

The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one sixth of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?

Using the information from above answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.

Answers

1)  The volume of the quarter sphere shaped tank is; V =  20510 ft³

2) The volume of the smaller mock-up tank is; 230790 ft³

How to find the area and volume of a composite shape?

1)  The volume of the quarter sphere shaped tank is;

V = ⁴/₃πr²

V = ⁴/₃π * 70 * 70

V =  20510 ft³

2) We multiply dimensions by 2 not radius to make 1 whole cylinder. Thus

r = 35 feet remains the same as radius can only be half of a joined circle,

Since vertically cut, we have;

h = 125 * 2 = 250ft

Let's find the Area;

A = πr²

A = π * 35 *  35

A = Surface Area = 3846.5 ft²

Volume = Surface area * h

V = 3846.5 * 120 = 461580 combined.

For each; V = 461580/2 = 230790 ft³

3) Volume of smaller mock-up tank is;

V = (1/6) * 20510

V = 3418.33 ft³

4) 5/6 * 20510 = 17091.66 ft³

For the larger tank the increase is 17092 ft rounded up (0.165 value) of that of the smaller mock up tank. Therefore percentage is 1/6 = 16.67% and 5/6 = 83.33%

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Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)

Answers

Answer:

For section A, the average rate of change is 12. For section B, the average rate of change is 300. The average rate of change in Section B is greater than Section A by 25. The rate of change keeps on increasing because the slope of the function is increasing.

Step-by-step explanation:

Concept: For a function f(x), the rate of change is given by [tex]\frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1} }[/tex]. Given function is h(x) = 3(5∧x).

For x = 0 to x = 1, the value of function would be f(0) = 3 to f(1) = 15.

The rate of change would be (15-3) / (1-0) = 12.

For x = 2 to x = 3, the value of function would be f(2) = 75 to f(3) = 375.

The rate of change would be (375-75) / (3-2) = 300.

The average rate of change in Section B is greater than Section A by

300 / 12 = 25.

Looking at the function, that is h(x) = 3(5∧x), we see that this function is an increasing function. The slope of an increasing function keeps on increasing with the value of x. The rate of increase is also a slope. That is why the rate keeps on increasing.

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Write an equation in point-slope form of the line that passes through the given point and with the given slope m

(-9,2); m=6

Answers

The equation is [tex]\boxed{y-2=6(x+9)}[/tex].

Question 18 25
f(x) = 2x
g(x) = 4x + 1
Find
() (2). Include any restrictions on the domain.
A.
(4) (x) = 477³¹, x ≥ 0
○ B. ( 4 ) (x) = ¹⁄⁄², ¤ / 0
4c-1
x
O c. (1) (₂) -
O D. (5)(x) =
✓/2T
55-1
2,² / 1
2 / -4

Answers

Answer: D

Step-by-step explanation:

[tex]\left(\frac{f(x)}{g(x)} \right)=\frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{4x+1}[/tex].

This eliminates A and B.

Also, the domain excludes when the denominator equals 0, which in this case, makes the answer D

A person buys a used car with a down payment of $1,200 and makes monthly payments of $275 for 3 years.What is the total amount of the person pays for the car?PLEASE EXPLAIN
A.$2,025
B.$9,900
C.11,100
D.13,500

Answers

Answer:

2025 $

Step-by-step explanation:

275 multiply 3 +1200

Answer:

A.$2,025

Step-by-step explanation:

$275 x 3 years + $1,200

= $2,025

An equivalent ratio to the tape diagram shown is
to pls i need a answer

Answers

An equivalent ratio to the tape diagram shown is 1 to 2

How to determine the equivalent ratio?

From the tape diagram, we have:

Red = 2

Blue = 4

Express as a ratio

Red : Blue = 2 : 4

Divide by 2

Red : Blue = 1 : 2

Hence, an equivalent ratio to the tape diagram shown is 1 to 2

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what is the value of the rational expression below when is equal to 5?

Answers

Answer:

[tex]\boxed {C. -2}[/tex]

Step-by-step explanation:

[tex]\textsf {Substitute x = 5 in the expression :}[/tex]

[tex]\longrightarrow \mathsf{\frac{15 - x}{x - 10}}[/tex]

[tex]\longrightarrow \mathsf{\frac{15 - 5}{5 - 10}}[/tex]

[tex]\longrightarrow \mathsf{\frac{10}{-5}}[/tex]

[tex]\longrightarrow \mathsf{-2}[/tex]

PLS HELP ME WITH THIS PROBLEM

Answers

[tex]y=200(0.5)^2^t[/tex] is Decay

[tex]y=\frac{1}{2}(2.5)^\frac{t}{6}[/tex] is Growth

[tex]y=(0.65)^\frac{t}{4}[/tex] is Decay

The graphs below have the same shape. What is the equation of the red graph? g(x) = A. g(x)=2^x+3-2 B. 2^x-3-2 C. 2^x-2-3 D. g(x)=^x+2-3

Answers

The equation of the red graph is g(x)=^x+2-3.

Since the upscaling in the y-axis is not the main focus of this equation (being g(x) and not g(y)), the change is not applied to the x-axis.

What is the equation of the graph?

The y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. The slope is the change in y over the change in x.

Hence, we can rule out (-3)^2 and (x+3)^2 since they apply changes to the x-axis.

Finally, since this is an upscaling of the y-value on the y-axis, the answer is x^2 + 3 and not x^2 - 3.

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How do you write 16/25 as a percentage?

Answers

Answer:

64%

Step-by-step explanation:

Convert 16/25 to Percentage by Converting to Decimal

With this method, we first need to divide the numerator by the denominator:

16 ÷ 25 = 0.64

Once we have the fraction in a decimal format, the answer is then multiplied by 100 to get the correct percentage:

0.64 × 100 = 64%

We can see that this gives us the exact same answer as the first method: 16/25 as a percentage is 64%.

Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand.

he area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.

Answers

Answer:

14m

Step-by-step explanation:

Area = πr²

A = 153.86m²

153.86 = 3.14 *r²

r² = 153.86/3.14

r = √49

r = 7

d = 2r

d = 2*7

d = 14

Johann is 60 and Chad is 34 years younger. How many years
ago was Johann three times as old as Chad?

Answers

Answer: 6 years ago

Step-by-step explanation: Since Chad is 34 years younger than Johann, Chad is currently 26. 60 divided by 3 (since the question says three times) is 20, and 26 (Chad’s current age) minus 20 is 6. So, 6 years is the correct answer.

Answer:

  21 years

Step-by-step explanation:

Let x represent the number of years since Johann was 3 times Chad's age. The given relation can be written as the equation ...

  (60 -x) = 3(34 -x)

__

Solving this, we have ...

  60 -x = 102 -3x . . . . . eliminate parentheses

  2x = 42 . . . . . . . . . add 3x-60

  x = 21 . . . . . . . . .divide by 2

21 years ago, Johann was 3 times as old as Chad.

_____

Additional comments

Their ages then were 39 and 13.

If you recognize the age difference is 60-34 = 26 years, and that J will be 3×C when C's age is half that difference, then you know C was 13 at that time. That was 34-13 = 21 years ago.

Complete the statements below with the process used to achieve steps 1-4.


Select the correct answer from each drop-down menu.

Consider the equation below.


-2(5x+8)=14+6x


The equation was solved using the following steps.

Answers

The statements can be completed by using the following :

1) -2 is multiplied with (5x+8)

2)  transposing of numeral values and variable values

3) The numerical values are taken one side and added to each other

4) 30 is divided by -16

5) The numerator and denominator are cancelled to the lowest possible value

x= -15/8

Given:  -2(5x+8)=14+6x  

and steps for solving them have also been given

In the first step, -2 is multiplied with (5x+8) and we get

-10x -16 = 14 +6x

In step 2, transposing of numeral values and variable values is done and we get -16x - 16 = 14

In step 3,

The numerical values are taken one side and added to each other and we get -16x=30

In step 4, 30 is divided by -16

In step 5, they are cancelled to the lowest possible value and we get

x= -15/8

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Help please I need it now!

Answers

Answer: [tex]\sum^{7}_{n=1} (-2+9n)[/tex]

Step-by-step explanation:

This is an arithmetic series with first term 7 and common difference 9, so the general formula for the nth term of the sequence is [tex]7+9(n-1)=7+9n-9=-2+9n[/tex].

The sequence has 7 terms, so the sigma notation is:

[tex]\sum^{7}_{n=1} (-2+9n)[/tex]

Other Questions
Use the drawing tool(s) to form the correct answer on the number line.Graph the solution to this inequality on the number line.-4x+7>x-13 how much is 10 cents + 7 dimes + 1 quater equals?I'm trying to make a dollar ways in wich painting is an innovative idea Which of the following is the best buy?a 6 oz box of rice for $0.90a 12 oz box of rice for $1.93a 16 oz bag of rice for $2.42a 9 oz box of rice $1.25 I keep putting in the formula but I keep getting the answer wrong Why was Edith Cavell used in anti-Germanpropaganda posters?She was executed by Germany for treason.She was a victim in the bombing of the Lusitania.She developed propaganda against Allied nations.She was a spy for the German government. Which length is equivalent to 12 yards? What type of energy conversion takes place when playing a song on the radio? Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Select the correct text in the passage.Which detail best develops a theme about making faulty assumptions?[14] Oh, heavens! it was broad daylight. The noise brought my friends hurrying into my apartment, and we found, sprawling over my improvised bed, the dismayed valet, who, while bringing me my morning cup of tea, had tripped over this obstacle in the middle of the floor and fallen on his stomach, spilling my breakfast over my face in spite of himself.[15] The precautions I had taken in closing the shutters and going to sleep in the middle of the room had only brought about the practical joke I had been trying to avoid.[16] Oh, how they all laughed that day! Management should select the depreciation method that Jack and Susan bought together 28 books. Susan bought 11 books. Which one of thefollowing equations represents the number of books bought by Jack? Let x be thenumber of books bought by Jack. What is the measure of complemnt angle a)42 b) 35 En qu ao termin la existencia de los Tanos?a.en 1400c.en 1910b.en 1800d.en 1509 What type of molecule is shown below if you expect the inflation rate to be 15 percent next year and a one-year bond has a yield to maturity of 7 percent, then the real interest rate on this bond is: Which of these polygons can be formed by the cross-section created when a plane intersects a pyramid? Select all that are possible.squarepentagoncirclerectangle Which of the following is NOT a common characteristic of the American and South American revolutions?O They were both trying to rid themselves of European control.O They were both revolting against an oppressive monarch.O They both resulted in the development of a new country.O They both made a formal declaration of independence. !!!HELP ASAP 90 POINTS!! Read the except from "Speech to National Council of Negro Women by Condoleezza Rice. I also feel, of course, a great, great kinship with this wonderful organization. It's been a part of our lives and a part of our histories from the time that any of us could remember. It is an organization that stands for the best in America because it stands for opportunity, and it stands for hope, and it stands for belief. It stands for everything that it really means to be American. It also stands for the tremendous gains that we as African-Americans, and African-American women, have made in these many years. But those gains would not have been possible without organizations like this in our lives. And so let me ask you to join me in thanking you, this great organization, for the long years of service to African-Americans, and African-American women in particular. Thank you.Which quotation from the passage best shows an example of pathos?It is an organization that stands for the best in America because it stands for opportunity, and it stands for hope, and it stands for belief. It stands for everything that it really means to be American.It also stands for the tremendous gains that we as African-Americans, and African-American women, have made in these many years.But those gains would not have been possible without organizations like this in our lives.And so let me ask you to join me in thanking you, this great organization, for the long years of service to African-Americans, and African-American women in particular. Thank you. Question 3 of 20All of the following are examples of associate's degrees except.O A. Associate of Medicine.OB. Associate of Science.OC. Associate of Arts.OD. Associate of Applied Science.