What is the volume of this composite figure?
Enter your answer in the box.

Answer:

208

Step-by-step explanation:

Answer:

You need to plot the points at (1.5, 0) and (0,-3)

Step-by-step explanation:

Answer:

The relation (13,14), (13,5). (16,7). (18,13) is not considered a function

Step-by-step explanation:

Relations are only considered functions if each x value, which is the first number in each ordered pair or set of parentheses, has only one corresponding y-value, which is the second number in each ordered pair. The third option has two y-values, 14 and 5, for one x-value, 13. This means that it does not satisfy the requirements to be a function and therefore it is not a function.

Answer:

A. About 47.5π

B. About 149.1

The Height of the ceiling at the center is  57.6628 feet

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.

It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.

The General form of ellipse is \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\)

According to the question,

Length of whispering gallery is 130 feet

The foci are located 30feet from the center (0,0)

So, 2a = 130

=> a = 130/2

=> a = 65

and c = 30

As we know ,

=> c² = a² - b²

=> (30)² = (65)² - b²

=> 900 = 4225 - b²

=> b² = 4225 - 900

=> b² = 3325

=> b = 57.7 feet

Therefore , the height of the ceiling at the center is 57.6628 feet

To know more about Ellipse here

https://brainly.com/question/19507943

#SPJ4

In a Quincy College class consisting of 15 students 12 or more have blue eyes.

If half the students at Quincy College have blue eyes, then the most probable event is that a randomly selected student from the college will have blue eyes.

This is because, if half the students have blue eyes, then there is a greater chance that a randomly selected student will have blue eyes than any other eye color.

For example, if we were to consider the event of a randomly selected student having green eyes, this would be less probable because fewer than half the students are likely to have green eyes.

Therefore, the most probable event is that a randomly selected student from Quincy College will have blue eyes.

Learn more about probability at

https://brainly.com/question/30034780

#SPJ4

Result:

The weight of the pumpkin in November = 71 ounces more than in October.

How to compare the weights?

To compare the weights, we need to convert both weights to the same unit of measurement, either pounds or ounces.

Let's convert the first weight, which is 3 pounds and 11 ounces, to ounces:

3 pounds = 3 x 16 = 48 ounces

11 ounces = 11

So the first weight is 48 + 11 = 59 ounces.

Now, let's convert the second weight, which is 8 pounds and 2 ounces, to ounces:

8 pounds = 8 x 16 = 128 ounces

2 ounces = 2

So the second weight is 128 + 2 = 130 ounces.

To find how many more ounces the pumpkin weighed in November, we subtract the October weight from the November weight:

130 - 59 = 71

Therefore, the pumpkin weighed 71 more ounces in November than it did in October.

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

Learn more about cosine function at: https://brainly.com/question/29100023

#SPJ1

Answer:

Tangent

Step-by-step explanation:

Tangent intersects a circle at exactly one point

Answer:

(x-5) (x+4)

Step-by-step explanation:

x^2 - X-20

Factor

What two numbers multiply to -20 and add to -1

-5*4 = -20

-5+4 = -1

(x-5) (x+4)

The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

Read more about null hypothesis at:

https://brainly.com/question/25339965

Answer:

Option 2 or B

Step-by-step explanation:

B, if you look at the data table, you can notice that x and y are decreasing (therefore going down). I hope this helps?

Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

The exact value of cos (-pi/3) can be found using the unit circle or the angle addition formula.

Using the unit circle, we know that the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is cos(-pi/3) and y-coordinate is sin(-pi/3).

On the unit circle, the angle of -pi/3 is the same as the angle of 2pi/3 (since the unit circle has a period of 2pi), therefore the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is -1/2.

Alternatively, using the angle addition formula:

cos (-pi/3) = cos(pi - pi/3) = cos(pi) * cos (pi/3) - sin(pi) * sin(pi/3) = -1/2

So, the exact value of cos (-pi/3) is -1/2.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

Answer:

A) f'(t) is negative

B) degc/min

c ) At 20 minutes after the coffee was put on the counter its temperature is  56degc   and will decrease by about  1.125   in the next 45 seconds

Step-by-step explanation:

A ) f'(t)  is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative

B ) The units of  f'(20) = degc/min

C)  At ║f'(20)║ = 1.5 and f'(20) = 56

  ║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5

  therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125

At 20 minutes after the coffee was put on the counter its temperature is  56degc   and will decrease by about  1.125   in the next 45 seconds

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Your correct answer is 3.

Sure hope this helps you and pls mark me brainiest :)

░░░░░▐▀█▀▌░░░░▀█▄░░░

░░░░░▐█▄█▌░░░░░░▀█▄░░

░░░░░░▀▄▀░░░▄▄▄▄▄▀▀░░

░░░░▄▄▄██▀▀▀▀░░░░░░░

░░░█▀▄▄▄█░▀▀░░

░░░▌░▄▄▄▐▌▀▀▀░░

▄░▐░░░▄▄░█░▀▀ ░░

▀█▌░░░▄░▀█▀░▀ ░░

░░░░░░░▄▄▐▌▄▄░░░

░░░░░░░▀███▀█░▄░░

░░░░░░▐▌▀▄▀▄▀▐▄░░

░░░░░░▐▀░░░░░░▐▌░░

░░░░░░█░░░░░░░░█

Answer:

144 km

Step-by-step explanation:

Answer:

It would be 1,700

Step-by-step explanation:

It's simple: just add 2 zeros onto whatever the meter amount is and change the label to cm!

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

Read more about tangent lines at

https://brainly.com/question/21595470

#SPJ1

Answer:

i think its 60%

Step-by-step explanation:

if its wrong im rlly sorry

mark me as brainliest if its right pls

Answer: 144

Step-by-step explanation:

Product =(12^-5)*(12^7) = 144

Answer: x = 6

Step-by-step explanation: In the equation "x / 2 = 3, rewrite the equation as "x = 2 x 3" and solve for "x." The solution is "x = 6."

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

for such more question on value

https://brainly.com/question/27746495

#SPJ8

Answer:

A = 25π square feet

Step-by-step explanation:

C = 2πr

10π = 2πr

10π = 2πx

10π / 2π = 2πx / 2π

5 = x

This means 5 is the radius of the circle. We now need to find the area:

A = πr\(r^{2}\)

A = π(5)²

A = π(25)

A = 25π

The graph of y =g(x)-6 is a graph that shows a line cutting across -6 on the y axis.

The graph of the y =g(x)-6

to solve this, first of all rewrite this as a function

y = x - 6

The y intercept is given as 0 and - 6

you would graph the line using the intercept and the slopes of the points

slope = 1

y intercept is given as (0 , -6)

x (0 , 1 )

y (-6 , -5)

Read more on graph here:https://brainly.com/question/19040584

#SPJ1

Answer:

56

Step-by-step explanation:

Answer:

Several ways, take the diameter and divide it by half.

Take the circumference "C" and r = C/2π

Step-by-step explanation: