please help! algebra 2 work

Please Help! Algebra 2 Work

Answers

Answer 1
Well, there are several possible answers.

One such answer is y=-2.1x, which when plugging in the corresponding values will give -8.4 for y.

Another one is y=x-12.4. It really depends on other values

Related Questions

The radius of a right circular cylinder is increasing at the rate of 7 in./sec, while the height is decreasing at the rate of 6 in./sec. At what rate is the volume of the cylinder changing when the radius is 20 in. and the height is 16 in.

Answers

Answer:

[tex]\approx \bold{6544\ in^3/sec}[/tex]

Step-by-step explanation:

Given:

Rate of change of radius of cylinder:

[tex]\dfrac{dr}{dt} = +7\ in/sec[/tex]

(This is increasing rate so positive)

Rate of change of height of cylinder:

[tex]\dfrac{dh}{dt} = -6\ in/sec[/tex]

(This is decreasing rate so negative)

To find:

Rate of change of volume when r = 20 inches and h = 16 inches.

Solution:

First of all, let us have a look at the formula for Volume:

[tex]V = \pi r^2h[/tex]

Differentiating it w.r.to 't':

[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\pi r^2h)[/tex]

Let us have a look at the formula:

[tex]1.\ \dfrac{d}{dx} (C.f(x)) = C\dfrac{d(f(x))}{dx} \ \ \ (\text{C is a constant})\\2.\ \dfrac{d}{dx} (f(x).g(x)) = f(x)\dfrac{d}{dx} (g(x))+g(x)\dfrac{d}{dx} (f(x))[/tex]

[tex]3.\ \dfrac{dx^n}{dx} = nx^{n-1}[/tex]

Applying the two formula for the above differentiation:

[tex]\Rightarrow \dfrac{dV}{dt} = \pi\dfrac{d}{dt}( r^2h)\\\Rightarrow \dfrac{dV}{dt} = \pi h\dfrac{d }{dt}( r^2)+\pi r^2\dfrac{dh }{dt}\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2r \dfrac{dr }{dt}+\pi r^2\dfrac{dh }{dt}[/tex]

Now, putting the values:

[tex]\Rightarrow \dfrac{dV}{dt} = \pi \times 16\times 2\times 20 \times 7+\pi\times 20^2\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 22 \times 16\times 2\times 20 +3.14\times 400\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 14080 -7536\\\Rightarrow \dfrac{dV}{dt} \approx \bold{6544\ in^3/sec}[/tex]

So, the answer is: [tex]\approx \bold{6544\ in^3/sec}[/tex]

Solve for 2 in the diagram below.
45°
150
42°
ea
Stuck? Watch a video or use a hint.

Answers

Step-by-step explanation:

Hi, there!!!

It's so simple..

Let me clear you, alright.

Here, On the fig line, OE is just a confusing line. If you look it in simple way,

AB and CD are interested at a point O.

so, angle AOD and angle COB are equal.{ because they are vertically opposite angle}

so, angle AOD= angle COB

or, 4x°=45°+15°

or, 4x°= 60°

or, x= 60°/4

Therefore, x= 15°.

Hope it helps....

What is the value of 1/3x-3/4 when x =1/4

Answers

Answer:

The value of 1/3x-3/4 when x=1/4 is 0.08333 repeated.

Step-by-step explanation:


The X- and y-coordinates of point P are each to be chosen at random from the set of integers 1 through 10.
What is the probability that P will be in quadrant II ?
О
1/10
1/4
1/2

Answers

Answer:

Ok, as i understand it:

for a point P = (x, y)

The values of x and y can be randomly chosen from the set {1, 2, ..., 10}

We want to find the probability that the point P lies on the second quadrant:

First, what type of points are located in the second quadrant?

We should have a value negative for x, and positive for y.

But in our set;  {1, 2, ..., 10}, we have only positive values.

So x can not be negative, this means that the point can never be on the second quadrant.

So the probability is 0.

Find the point(s) on the ellipse x = 3 cost, y = sin t, 0 less than or equal to t less than or equal to 2pi closest to the point(4/3,0) (Hint: Minimize the square of the distance as a function of t.) The point(s) on the ellipse closest to the given point is(are) . (Type ordered pairs. Use a comma to separate answers as needed.)

Answers

Answer and Step-by-step explanation:

The computation of points on the ellipse is shown below:-

Distance between any point on the ellipse

[tex](3 cos t, sin t) and (\frac{4}{3},0) is\\\\ d = \sqrt{(3 cos\ t - \frac{4}{3}^2) } + (sin\ t - 0)^2\\\\ d^2 = (3 cos\ t - \frac{4}{3})^2 + sin^2 t[/tex]

To minimize

[tex]d^2, set\ f' (t) = 0\\\\2(3cos\ t - \frac{x=4}{3} ).3(-sin\ t) + 2sin\ t\ cos\ t = 0\\\\ 8 sin\ t - 16 sin\ t\ cos\ t = 0\\\\ 8 sin\ t (1 - 2 cos\ t) = 0\\\\ sin\ t = 0, cos\ t = \frac{1}{2} \\\\ t= 0, \ 0, \pi,2\pi,\frac{\pi}{3} , \frac{5\pi}{3}[/tex]

Now we create a table by applying the critical points which are shown below:

t            [tex]d^{2} = (3\ cos t - \frac{4}{3})^{2} + sin^{2}t[/tex]

0           [tex]\frac{25}{9}[/tex]

[tex]\pi[/tex]           [tex]\frac{169}{9}[/tex]

[tex]2\pi[/tex]         [tex]\frac{25}{9}[/tex]

[tex]\frac{\pi}{3}[/tex]          [tex]\frac{7}{9}[/tex]

[tex]\frac{5\pi}{3}[/tex]         [tex]\frac{7}{9}[/tex]

When t = [tex]\frac{\pi}{3}[/tex], x is [tex]\frac{3}{2}[/tex] and y is [tex]\frac{\sqrt{3} }{2}[/tex]. So, the required points are [tex](\frac{3}{2},\frac{\sqrt{3} }{2})[/tex]

When t = [tex]\frac{5\pi}{3}[/tex], x is [tex]\frac{3}{2}[/tex] and y is [tex]\frac{-\sqrt{3} }{2}[/tex]. So, the required points are [tex](\frac{3}{2},\frac{-\sqrt{3} }{2})[/tex]

The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304 cm^2

Answers

Answer:

B. 152 cm²

Step-by-step explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each ([tex]A=l*w[/tex]) and then add the values together:

The first rectangle on the left is the same as the one on the right.

[tex]5*8=40[/tex]

Two measures are 40 cm².

The middle rectangle is:

[tex]6*8=48[/tex]

48 cm²

The formula for the area of a triangle is [tex]A=\frac{1}{2}*b*h[/tex]:

[tex]A=\frac{1}{2}*6*4\\\\A=\frac{1*6*4}{2}\\\\A=\frac{24}{2}\\\\ A=12[/tex]

The area of the two triangles is 12 cm².

Now add the values:

[tex]40+40+48+12+12=152[/tex]

The area of the figure is 152 cm².

:Done

change 4 5/9 from a mixed number to an improper fraction

Answers

Step-by-step explanation:

Hello, there!!

The answer would be 41/9.

The reason for above answer is to change any mixed fraction into improper fraction we should follow a simple step:

multiply the denominator with whole number.Add the answer (after mutiplied ).

look here,

=[tex] \frac{4 \times 9 + 5}{9} [/tex]

we get 41/9.

Hope it helps...

The given fraction into the improper fraction should be [tex]\frac{41}{9}[/tex]

Given that,

The mixed number fraction is [tex]4 \frac{5}{9}[/tex]

Computation:

[tex]= 4\frac{5}{9}\\\\ = \frac{41}{9}[/tex]

Here we multiply the 9 with the 4 it gives 36 and then add 5 so that 41 arrives.

learn more about the fraction here: https://brainly.com/question/1301963?referrer=searchResults

A researcher wants to determine the impact of soil type on the growth of a certain type of plant. She grows three plants in each of four different types of soil and measures the growth in inches for each plant after one month resulting in the data below.

Soil 1 Soil 2 Soil 3 Soil 4
12.6 12.2 12.2 11.1
12.6 12 10.6 11.7
14.3 13 9.1 9.6

1. What null hypothesis is the researcher testing if she runs an ANOVA with this data?

a.The mean growth of the plant in each type of soil is the same.
b. One type of soil has a higher mean growth for the plant than the others.
c. The variability in growth of the plant in each type of soil is the same.
d. Oil 3 provides a lower mean growth for the plant than the other types of soil.
e. The mean growth of the plant is different in each type of soil.

2. What is the SStrt for the ANOVA? Give your answer to at least three decimal places.
3. What is DFerr for the ANOVA?
4. What is the value of the F statistic for the ANOVA? Give your answer to at least three decimal places.
5. Using a 0.05 level of significance, what conclusion should the researcher reach?

a. There is not enough evidence to reject the claim that the mean growth of the plant is the same in each type of soil.
b. Soil 1 has a higher mean growth for the plant than the other types of soil.
c. The mean growth of the plant is not the same for all soil types .
d. Soil 3 has a lower mean growth for the plant than the other types of soil.

Answers

Answer:

(1) Option a

(2) 13.737

(3) 8

(4) 3.803

(5) Option a

Step-by-step explanation:

In this case, we need to determine whether the soil type effects the growth of a certain type of plant.

Perform the ANOVA test for the provided data on Excel.

Go to Data - Data Analysis - Anova: Single factor

Select the data for the growth.

Press OK.

The output is attached below.

(1)

The hypothesis for the study can be defined as follows:

H₀: The mean growth of the plant in each type of soil is the same.

Hₐ: The mean growth of the plant is different in each type of soil.

Correct option a.

(2)

The sum of square for treatment is:

[tex]\text{SS}_{trt}=\text{SS}_{BG}=13.737[/tex]

(3)

The degrees of freedom of error is:

[tex]\text{DF}_{err}=\text{DF}_{WG}=8[/tex]

(4)

The F statistic for the ANOVA is:

[tex]F=3.803[/tex]

(5)

The p-value of the test is:

[tex]p-value=0.058[/tex]

Decision Rule:

Reject H₀ if the p-value of the test is less than the level of significance.

[tex]\text{p-value}=0.058>\alpha=0.05[/tex]

The null hypothesis was failed to be rejected.

Conclusion:

There is not enough evidence to reject the claim that the mean growth of the plant is the same in each type of soil.

Correct option a.

Suppose P( A) = 0.60, P( B) = 0.85, and A and B are independent. The probability of the complement of the event ( A and B) is: a. .4 × .15 = .060 b. 0.40 + .15 = .55 c. 1 − (.40 + .15) = .45 d. 1 − (.6 × .85) = .490

Answers

Answer: a. 0.4 × 0.15 = 0.060

Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.

For P(A):

P(A') = 1 - 0.6

P(A') = 0.4

For P(B):

P(B') = 1 - 0.85

P(B') = 0.15

To determine probability of A' and B':

P(A' and B') = P(A')*P(B')

P(A' and B') = 0.4*0.15

P(A' and B') = 0.06

Probability of the complement of the event is 0.060

A company has 8 mechanics and 6 electricians. If an employee is selected at random, what is the probability that they are an electrician

Answers

Answer:

[tex]Probability = \frac{3}{7}[/tex]

Step-by-step explanation:

Given

Electrician = 6

Mechanic = 8

Required

Determine the probability of selecting an electrician

First, we need the total number of employees;

[tex]Total = n(Electrician) + n(Mechanic)[/tex]

[tex]Total = 6 + 8[/tex]

[tex]Total = 14[/tex]

Next, is to determine the required probability using the following formula;

[tex]Probability = \frac{n(Electrician)}{Total}[/tex]

[tex]Probability = \frac{6}{14}[/tex]

Divide numerator and denominator by 2

[tex]Probability = \frac{3}{7}[/tex]

Hence, the probability of selecting an electrician is 3/7

Which rule describes this transformation? (Zoom in to see it clearly)

Answers

Answer:

(x,y) -> (x+6, y-3)

Step-by-step explanation:

I followed c and it translated like the  last ans choice.

line m in the xy-plane above is to be reflected through the x-axis. if the slope of line m is 2/3,whats is the slope of the image of line m under the reflection.

Answers

Answer: The new slope is -(2/3)

Step-by-step explanation:

Ok, we know that our line can be written as:

y = (2/3)*x + b

where b is the y-intercept, and here does not really matter.

Ok, remember that if we have a point (x, y) and we reflect it over the x-axis, the new point will be (x, -y).

For our linear equation, the point (x, y) can be written as:

(x, y = (2/3)*x + b) = (x,  (2/3)*x + b)

Now, after the reflection, our point is:

(x, - ( (2/3)*x + b)) = (x, -(2/3)*x - b)

Then our new line is y = -(2/3)*x - b

The new slope is -(2/3)

Factor this trinomial completely. -6x^2 +26x+20

Answers

Answer:

Step-by-step explanation:

-6x²+26x+20

=-2(3x²-13x-10)

=-2(3x²-15x+2x-10)

=-2[3x(x-5)+2(x-5)]

=-2(x-5)(3x+2)

A triangle has sides with lengths of 5x - 7, 3x -4 and 2x - 6. What is the perimeter of the triangle?

Answers

Answer:

Step-by-step explanation:

perimeter of triangle=sum of lengths of sides=5x-7+3x-4+2x-6=10x-17

Answer:

10x - 17

Step-by-step explanation:

To find the perimeter of a triangle, add up all three sides

( 5x-7) + ( 3x-4) + ( 2x-6)

Combine like terms

10x - 17

How many dimensions does an angle have?

Answers

Answer:

the length has dimension 1, the area has the dimension 2, the volume has dimension 3, etc. And the angle has dimension 0.

Step-by-step explanation:

A dimension has 0 angles

if 2500 amounted to 3500 in 4 years at simple interest. Find the rate at which interest was charged

Answers

Answer:

35%

Step-by-step explanation:

[tex]Principal = 2500\\\\Simple\:Interest = 3500\\\\Time = 4 \:years\\\\Rate = ?\\\\Rate = \frac{100 \times Simple \: Interest }{Principal \times Time}\\\\Rate = \frac{100 \times 3500}{2500 \times 4} \\\\Rate = \frac{350000}{10000}\\\\ Rate = 35 \%[/tex]

[tex]S.I = \frac{PRT}{100}\\\\ 100S.I = PRT\\\\\frac{100S.I}{PT} = \frac{PRT}{PT} \\\\\frac{100S.I}{PT} = R[/tex]

Answer:

35%

Step-by-step explanation:

I REALLY HOPE I HELPED

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

 ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                PEACE!

solve for x: 5x+3+8x-4=90

Answers

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

We can solve the equation [tex]5x+3+8x-4=90[/tex] by isolating the variable x on one side. To do this, we must simplify the equation.

[tex]5x+3+8x-4=90[/tex]

Combine like terms:

[tex]13x - 1 = 90[/tex]

Add 1 to both sides:

[tex]13x = 91[/tex]

Divide both sides by 13:

[tex]x = 7[/tex]

Hope this helped!

Answer:

x = 7

Step-by-step exxplanation:

5x + 3 + 8x - 4 = 90

5x + 8x = 90 - 3 + 4

13x = 91

x = 91/13

x = 7

probe:

5*7 + 3 + 8*7 - 4 = 90

35 + 3 + 56 - 4 = 90

Using Normal Distribution, what is the area to the right of 0.72 under the
standard normal curve?

Answers

Answer: 0.2358

Step-by-step explanation:

Using Normal Distribution, under the  standard normal curve

The area to the right of z is given by P(Z>z)=1-P(Z<z)

So, the area to the right of z= 0.72 under the  standard normal curve would be:

P(Z>0.72)=1-P(z<0.72)

=1-0.7642   [By using p-value table]

= 0.2358

Hence, the area to the right of z= 0.72 under the  standard normal curve is 0.2358 .

can someone help me answer this??

Answers

Answer:

hkkr

need school the long said

Answer:

That would indicate 20.0 ml

id appreciate a rating thanks XP

Answer the question :)

Answers

Answer:

A. -11

Step-by-step explanation:

In the function, replace x with -2

R(x) = x^2 - 3x - 1 ➡ R(-2) = (-2)^2 - 3 × 2 -1 = -11

Chloe wants to wrap a present in a box for Sarah. The top and bottom of the box is 8 in. by 3 in., the sides are both 3 in by 2 in. and the front and back are 8 in by 2 in. How much wrapping
paper will Chloe need to wrap the present?

Answers

Answer:

92 inches squared

Step-by-step explanation:

T/P = 8 * 3

L/R = 3 * 2

F/B = 8 * 2

Solving for surface area!

2(24) + 2(6) + 2(16) = 92

A population has a mean and a standard deviation . Find the mean and standard deviation of a sampling distribution of sample means with sample size n. nothing ​(Simplify your​ answer.) nothing ​(Type an integer or decimal rounded to three decimal places as​ needed.)

Answers

Complete Question

A population has a mean mu μ equals = 77 and a standard deviation σ = 14. Find the mean and standard deviation of a sampling distribution of sample means with sample size n equals = 26

Answer:

The mean of sampling distribution of the sample mean ( [tex]\= x[/tex]) is [tex]\mu_{\= x } = 77[/tex]

The standard deviation of sampling distribution of the sample mean ( [tex]\= x[/tex]) is  

    [tex]\sigma _{\= x} = 2.746[/tex]

Step-by-step explanation:

From the question we are told that

    The population mean is  [tex]\mu = 77[/tex]

     The  standard deviation is  [tex]\sigma = 14[/tex]

     The sample size is  [tex]n = 26[/tex]

     

Generally the standard deviation of sampling distribution of the sample mean ( [tex]\= x[/tex]) is  mathematically represented as

           [tex]\sigma _{\= x} = \frac{ \sigma }{ \sqrt{n} }[/tex]

substituting values  

          [tex]\sigma _{\= x} = \frac{ 14}{ \sqrt{26} }[/tex]

          [tex]\sigma _{\= x} = 2.746[/tex]

Generally the mean of sampling distribution of the sample mean ( [tex]\= x[/tex]) is  equivalent to the population mean i.e  

      [tex]\mu_{\= x } = \mu[/tex]

      [tex]\mu_{\= x } = 77[/tex]

2. Use the diagram and given information to answer the questions and prove the statement.

a. Re-draw the diagram of the overlapping triangles so that the two triangles are separated.

b. What additional information would be necessary to prove that the two triangles, XBY and ZAY , are congruent? What congruency would be applied?

c. Prove (AZ) is congruent to (BX) using a flow chart proof. ( ):both have a line over them

Answers

[tex] \huge{ \underline{ \tt{ \purple{Solution:}}}}[/tex]

2) a)⚘ Refer to the attachment....

After separating, we will get two triangles △XYB and △ZYA where ∠Y is common to both the triangles, hence their measure is equal. This will be use in further proof.

b) We have,

∠X = ∠Z (Given, ATQ)∠Y = common to both triangles. XY = ZY

So, here

Two pairs of corresponding angles are equal along the side contained between them. So, The above triangles are congurent by ASA criterion.

✤ No more additional information Required to prove the above triangles be congurent.

△XYB ≅ △ZYA (By ASA Criterion)

c) By using flow chart proof:

[tex] \boxed{ \sf{ \angle X = \angle Z}} \searrow[/tex]

[tex] \boxed{ \sf{\small{ \angle Y = com.}}} \rightarrow \boxed{\small{ \sf{ \triangle XYB \cong \triangle ZYA}}}\rightarrow \small{\boxed{ \sf{AZ= XB}}}[/tex]

[tex] \boxed{ \sf{XY = ZY}} \nearrow[/tex]

━━━━━━━━━━━━━━━━━━━━

Step-by-step explanation:

Hey mate ut answer is in the given attachment.

hope i help u

Find the area of the shaded regions:

Answers

area of Arc subtending [tex]360^{\circ}[/tex] (i.e. the whole circle) is $\pi r^2$

so area of Arc subtending $\theta^{\circ}$ is, $\frac{ \pi r^2}{360^{\circ}}\times \theta^{\circ}$

$\theta =72^{\circ}$ so the area enclosed by one such arc is $\frac{\pi (10)^272}{360}$

abd there are 2 such arcs, so double the area.

[tex] \LARGE{ \underline{ \boxed{ \rm{ \purple{Solution}}}}}[/tex]

Given:-Radius of the circle = 10 inchesAngle of each sector = 72°Number of sectors = 2

To FinD:-Find the area of the shaded regions....?

How to solve?

For solving this question, Let's know how to find the area of a sector in a circle?

[tex] \large{ \boxed{ \rm{area \: of \: sector = \frac{\theta}{360} \times \pi {r}^{2} }}}[/tex]

Here, Θ is the angle of sector and r is the radius of the circle. So, let's solve this question.

Solution:-

We have,

No. of sectors = 2Angle of sector = 72°

By using formula,

⇛ Area of shaded region = 2 × Area of each sector

⇛ Area of shaded region = 2 × Θ/360° × πr²

⇛ Area of shaded region = 2 × 72°/360° × 22/7 × 10²

⇛ Area of shaded region = 2/5 × 100 × 22/7

⇛ Area of shaded region = 40 × 22/7

⇛ Area of shaded region = 880/7 inch. sq.

⇛ Area of shaded region = 125.71 inch. sq.

☄ Your Required answer is 125.71 inch. sq(approx.)

━━━━━━━━━━━━━━━━━━━━

Solve the equation using square roots x^2+20=4

Answers

Answer:

Step-by-step explanation:

x^2+20=4 first isolate the variable by subtracting 20 on both sides.

x^2=-16 again isolate the variable but this time you square root both sides.

[tex]\sqrt{x}^2[/tex]=[tex]\sqrt{-16[/tex] then simplify

x= ±4

Jill works at a cell phone store. Jill earns $175 every week plus $45 for every phone p that she sells. if Jill makes $445 at the end of the week how many phones did she sell?​

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

6 phones

▹ Step-by-Step Explanation

$445 - $175 = $270

$270 ÷ $45 = 6

6 phones

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

A diameter that is perpendicular to a chord bisects the chord. True False

Answers

Answer:

[tex]\Large \boxed{\sf True}[/tex]

Step-by-step explanation:

[tex]\sf A \ diameter \ that \ is \ perpendicular \ to \ a \ chord \ bisects \ the \ chord.[/tex]

Answer:

True!!

I just did the assignment and got it right

[PLEASE HELP] Consider this function, f(x) = 2X - 6.

Match each transformation of f (x) with its descriptions..

Answers

Answer:

Find answer below

Step-by-step explanation:

f(x)=2x-6

Domain of 2x-6: {solution:-∞<x<∞, interval notation: -∞, ∞}

Range of 2x-6: {solution:-∞<f(x)<∞, interval notation: -∞, ∞}

Parity of 2x-6: Neither even nor odd

Axis interception points of 2x-6: x intercepts : (3, 0) y intercepts (0, -6)

inverse of 2x-6: x/2+6/2

slope of 2x-6: m=2

Plotting : y=2x-6

3 divided by 6 it hard

Answers

Answer:

3/6 = 1/2 = 0.5

Step-by-step explanation:

3 / 6 = 1/2 = 0.5

3/6 = 1/2 or 0.5 ......

GIVING OUT BRAINLIEST TO THE FIRST PERSON TO ANSWER!!

One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

A. 2:3

B. 1:6:4

C. 1:16

D. 1:64

Please include ALL work! <3

Answers

Answer:

The answer is option C

Step-by-step explanation:

To find the ratio first find the diameter of the larger circle

Diameter of first circle = 6 inches

Diameter of second circle = 4 × diameter of the first circle

Which is

Diameter of second circle

= 4 × 6 = 24 inches

Area of a circle = πr²

r is the radius

Area of smaller circle

Diameter = 6 inches

Radius = 6 / 2 = 3 inches

Area = (3)² π = 9π in²

Area of larger circle

Diameter = 24 inches

Radius = 24 / 2 = 12 inches

Area = (12)²π = 144π in²

The ratio of the smaller circle to the larger circle is

[tex] \frac{9\pi}{144\pi} [/tex]

Reduce the fraction by 9π

That's

[tex] \frac{1}{16} [/tex]

We have the final answer as

1 : 16

Hope this helps you

Answer:

C. 1:16

Step-by-step explanation:

Area of a circle is:

[tex]\pi \times {r}^{2} [/tex]

Small circle Area:

radius = diameter/2

radius = 6/2 = 3

[tex]area \: of \: a \: circle \: = \pi {3}^{2} [/tex]

a = 28.27

Large circle 4 times larger diameter

6*4 = 24

diameter = 24

r = 24/2

r = 12

[tex]a \: = \pi {12}^{2} [/tex]

a = 452.39

area of large circle/ area of small circle

452.39/28.27 = 16.00

ratio is 1:16

Other Questions
Even if you cannot meet all of the elements of a contract, in special circumstances, courts may still find that there was an enforceable agreement.a. Trueb. False What kind of government is a theocracy? One difference between the Cherokee culture of the Southeast and Pueblo groups is that the Pueblo groups lived in the deserts of the Southwest. the Pueblo groups lived in the woodlands of the Northeast. the Pueblo groups lived on the coast of the Northwest. the Pueblo groups lived on the Great Plains. What is the factored form of 125x6 8? Which graph solves the following system? x+2y=4 5x2y=8 Which of the following demonstrates an information system? Tyra is using the computer to create a birthday card for her friend. Ahmad is installing new software to improve the ease of accessing the database. Shania is creating a printed handbook of company policies for new employees. Ian is making updates to the company website to include the latest product information What is the meaning of the word pageantry in the context of these lines from John Milton's "L'Allegro"? The Extra Surplus Company's Balance Sheet for December 31, 2017 and the Income Statement for 2018 are shown below.Extra Surplus Company Balance Sheet December 31, 2017 Assets Cash $14,000Accounts Receivable 7,000Inventory 16,800Property and Equipment, Net 28,000$65,800Liabilities and Stockholders' Equity Accounts Payable $14,000Notes Payable, Long-Term 7,000Common Stock 28,000Retained Earnings 16,800$65,800Extra Surplus Company Income Statement For the Year Ended December 31, 2018 Sales $23,400Cost of Goods Sold 5,400Salaries and Wage Expense 5,400Interest Expense 1,800Other Expenses 900Net Income $9,900Additional data:A- Sales were $23,400; $14,400 in cash was received from customers.B- Bought new land for cash, $18,000.C- Sold other land for its book value of $9,000.D- Paid $1,800 principal on the long-term note payable and $1,800 in interest.E- Issued new shares of stock for $18,000 cash.F- Cash dividends of $3,800 were declared and paid to stockholders.G- Paid $10,300 on accounts payable.H- No inventory purchases were made: other expenses were incurred on account.I- All wages were paid in cash.J- Other expenses were on account.Required:a. Prepare a balance sheet as of December 31, 2020.b. Prepare the statement of cash flows using the direct method. Compute the flux H F of F(x,y) = hxy, x yi across the boundary of the square given by 1 x 1, 1 y 1. Los personajes sobrenaturales en un cuento basado en un acto real indican que es ________. una leyenda una fbula un mito un cuento Which option is correct and how would one solve for it? When did the earth sciences become more recognized professions complete the square to solvef(x)=x^2+6x-7 Express the product of 3x^2 - 4x +6 and x-2 in standard form. Which of the following strategies should be adopted for effective active listening? One should not ask questions even if they do not understand a message completely One should not interrupt a speaker before they are finished. One should avoid direct eye contact. One should not paraphrase a message because it always leads to misinterpretations. If x3 + ax2 bx + 10 is divisible by x2 3x + 2,find the values of1) a-b2) 2a-b person with health education also becomes conscious towards the problem of population of population growth and environmental degardation. justify A customer wishes to purchase $100,000 face amount of municipal bonds that the broker-dealer does not have in inventory. Under MSRB rules, the firm should: The subject is operations on rational expressions. The instructions are add or subtract the following expressions. Remember to find a common denominator when necessary. Reduce all answers to lowest terms. What is the answer -13.62-(27.9)