Identifying Cross Sections of Solids
Which solids can have vertical cross sections that are circles? Check all that apply.
cones
O prisms
cylinders
O pyramids
spheres
Intro
Done

Answer:

The average rate of change is 20.

Step-by-step explanation:

To find the answer, plug in the 2 and 5 for x.

g(2) = 2(2)^2 - 8(2)

g(2) = 16 - 16

g(2) = 0

g(5) = 2(5)^2 - 8(5)

g(5) = 100 - 40

g(5) = 60

g(5)-g(2)/5-2 = the average rate of change

60/3=20

Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

Answer:

40.2

Step-by-step explanation:

Side 1= x

Side 2= x+20

Side 3= x+40

Side 4= x+60

Side 5= x+80

Total perimeter= 401

x+x+20+x+40+x+60+x+80= 401

Simplify it...

5x=201

x= 40.2

This is the answer= 40.2

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Thanks!

The length of the shortest side of the pentagon would be:

40.2

Given that,

Every side of a pentagon is longer by 20 inches.

No. of sides in pentagon = 5

So,

Ist side of the pentagon \(= x\)

IInd Side of the pentagon \(= x + 20\)

IIIrd Side of the pentagon \(= x + 40\)

IVth Side of the pentagon \(= x + 60\)

Vth Side of the pentagon \(= x + 80\)

We know that,

Perimeter = Sum of all the sides

Since the perimeter is 401 inches, the side can be determined through:

\(401 = x+x+20+x+40+x+60+x+80\)

⇒ \(401 = 5x + 200\)

⇒ \(401 - 200 = 5x\)

⇒ \(201/5 = x\)

∵ \(x = 40.2\)

Thus, 40.2 is the correct answer.

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Answer:

op90

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I hope this helps!

Answer:

B

Step-by-step explanation:

Imagine a mirror at the Y-axis, the two triangles will be mirror-image of each other.  So the CORRECT answer is B. Reflection over the Y axis

Answer:

I do not know :/

Step-by-step explanation:

Answer:

ABC transition -> A'B'C' reflected -> A''B''C''

Step-by-step explanation:

Answer:

y^4 /7

Step-by-step explanation:

divide coefficients, subtract exponents

4y^7 ÷ 28y^3

4/28 = 1/7

y^7 / y^3 = y^4

1/7 · y^4 = y^4 / 7

After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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Given:

The slope is, m = - 1/4.

The points are, (x, y) = (-4, 1)

The general slope intercept form is given by,

Here, b is the y intercept. b can be calculated by substituting the values of x and y in the slope intercept form,

Thus, the equation is,

Answer:

Option B. f¯¹(x) = ³√(– x – 9)

Step-by-step explanation:

From the question given above:

f(x) = – x³ – 9

f¯¹(x) =?

We can obtain the inverse f¯¹(x) of the above equation by doing the following:

f(x) = – x³ – 9

Replace f(x) with y

y = – x³ – 9

Interchange x and y

x = – y³ – 9

Make y the subject . This is illustrated below:

x = – y³ – 9

Rearrange

x + 9 = – y³

Multiply through by –1

–(x + 9) = y³

y³ = – x – 9

Take the cube root of both side

y = ³√(– x – 9)

Replace y with f¯¹(x)

f¯¹(x) = ³√(– x – 9)

Thus, the inverse of the function

f(x) = – x³ – 9

is

f¯¹(x) = ³√(– x – 9)

The expression of g(x) is g(x) = (1/5)(-3x + 3) so that f(x)=5x + 7 and f(g(x))=-3x +10.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that f(x)=5x + 7 and f(g(x))=-3x +10. Hence:

5(g(x)) + 7 = -3x + 10

5g(x) = -3x + 3

g(x) = (1/5)(-3x + 3)

The expression of g(x) is g(x) = (1/5)(-3x + 3) so that f(x)=5x + 7 and f(g(x))=-3x +10.

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The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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answer is d

Step-by-step explanation:

hope it is helpful

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 center is  0.275

 \(SE = 0.063\)

b

 center is  0.275

 \(SE = 0.020\)

Step-by-step explanation:

considering question a

From the question we are told that

   The sample size is  n  =  50

 The proportion of  US adults are college graduates is  p = 0.275

Generally the center is equivalent to the proportion so the center is  0.275

Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 50} }\)

=>   \(SE = 0.063\)

considering question b

    The sample size is  n  =  500

      The proportion of  US adults are college graduates is  p = 0.275

     Generally the center is equivalent to the proportion so the center is  0.275

     Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 500} }\)

=>   \(SE = 0.020\)

In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.

A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.

In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:

= [p × (1 - p)]/n

= [0.275 × (1 - 0.275)]/50

= 0.0039875

= ✓0.0039875

= 0.063

Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.

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Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

divide 12 ÷ 3 first

Step-by-step explanation:

P. E M.D .A .S

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer:

where are the choices?

Step-by-step explanation:

Where are the choices?

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The steps involved in constructing a perpendicular bisector are:

Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The complete question

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

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The probability that the sample mean is less than 5, is 0.92135.

Let X1,X2,...,X32 be a random sample from an exponential distribution with a mean of 4.

We have to find an approximate probability that the sample mean is less than 5.

Let X = \(\frac{\Sigma_{i=1}^{n}x_{i}}{n}\)

X = \(\frac{\Sigma_{i=1}^{32} x_{i}}{32}\)

Then required probability is P(X<5).

Now we have to find the distribution of X where \(x_{i}\)……. x_{32}.

Follow exponential with mean 4.

\(x_{i}\)→exponent(λ=1/mean)

\(x_{i}\)→exponent(λ=1/4)

\(x_{i}\)→exponent(λ=0.25)

Now we have result:

If \(x_{1}\) ………… x_{n} are exponential with α.

Then \(\Sigma{x_{i}}\) has Gamma Distribution with (α=0.25, n=32)

Now we have result

X→G(α, λ) then c X→G(α/c, λ)

Here, we have

\(\frac{\Sigma x_{i}}{n}\)→Gamma(α=0.25, n=32)

\(\frac{\Sigma x_{i}}{n}\)→Gamma(α/(1/n), n)

\(\frac{\Sigma x_{i}}{n}\)→Gamma(nα, n)

X→Gamma(32*0.25, 32)

X has Gamma distribution with α=8, λ=32.

Required probability is;

P(X<5) = \(\int_{0}^{5}f(x) dx\)

P(X<5) =\(\int_{0}^{5}\frac{\alpha }{\sqrt{\lambda}}e^{-\alpha x}x^{\lambda-1} dx\)

Now to approximate this probability using normal as

X-mean(X)/SD(X)  = N(0,1)

X→Gamma(α=8, λ=32)

E(X) = λ/α                                            Var(X)= λ/α^2

E(X) = 32/8                                          Var(X)= 32/(8)^2

E(X) = 4                                               Var(X)= 0.5

Now P(X<5)=P[{(X-E(X))/√Var(X)}<{ (5-4)/√0.5}]

P(X<5)=P[{z< 1/√0.5}]

P(X<5) = P(z<1.4142

From the normal probability table

P(X<5) = 0.92135

Hence, the probability that the sample mean is less than 5, is 0.92135.

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35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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Answer:

24 m that is the answer to the question

The height of the cone is 24 meters.

Option A is the correct answer.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The formula for the volume of a cone.

V = (1/3)πr²h

Where r is the radius of the base and h is the height.

The diameter of the cone = 12 m.

So,

The radius is half of the diameter:

r = 12/2

r = 6 m

Now,

The volume of the cone is 904 m³.

Substituting the known values into the formula.

904  = (1/3) × 3.14 × 6 x 6 × h

Simplifying the equation.

904 = 37.68 h

Dividing both sides by 37.68.

h = 23.99

h = 24

Therefore,

The height of the cone is 24 meters.

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Answer:

120 inches cubed

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is length * width * height.

In this case, 8 inches long is the length, 5 inches is the width, and 3 inches is the height.

So multiplying all of those together gets you 120 inches cubed.

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Answer:

.32

Step-by-step explanation:

When converting percents to decimals, drop the percent sign, and move the decimal two places to the left.

~theLocoCoco

Answer:

Margin of error is the critical value (t score or z score) times the standard error (standard deviation of the sample).

ME = CV × SE

Since n > 30, we can use the z score as the critical value.

Assuming 95% confidence, z = 1.960.

The standard error for a proportion is:

s = √(p (1 − p) / n)

Given p = 0.73 and n = 2035:

s = √(0.73 (1 − 0.73) / 2035)

s = 0.0098

Therefore, the margin of error is:

ME = 1.960 × 0.0098

ME = 0.019

The margin of error is 1.9%.  The interval that likely contains the true percent of all people who work out 3 or more days a week is:

73% ± 1.9%

(71.1%, 74.9%)

Step-by-step explanation:

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Step-by-step explanation:

By hhggtgtggpyphphpglyylylhlh,hly

Angle EFG is an angle with a measure of 42 degrees is drawn below.

Given that, angle EFG= 42 degrees.

Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.

Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.

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Answer:

143

Step-by-step explanation:

90-53=37

180-37=143