A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire pool. What is the length of the fence? Sunitha solved the problem as shown. A circle with radius 20 feet. A larger circle is 4 feet larger than the smaller circle. Radius = 24 feet. Circumference = 24 pi. What was her error? She should have used 12 in the formula, not 24. She forgot to multiply the radius by 2 in the formula. She did not add the additional fence length to the pool’s radius. She should have used 4 ft in the formula.

Given:

Consider the given polynomial is:

[tex]x^3+4x^2+16x+64[/tex]

To find:

The complete factorization of the given polynomial.

Solution:

We have,

[tex]x^3+4x^2+16x+64[/tex]

Using grouping method, we get

[tex]=(x^3+4x^2)+(16x+64)[/tex]

[tex]=x^2(x+4)+16(x+4)[/tex]

[tex]=(x+4)(x^2+16)[/tex]

[tex]=(x+4)(x+4i)(x-4i)[/tex]         [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]

Therefore, the correct option is C.

Answer: Only nine.

Step-by-step explanation: Nine squared is three.  Have a blessed day.

Answer:

understandable

Step-by-step explanation:

Answer:

day 1- 1 head

day 2- 1x2= 2 heads

day 3- 2x2= 4 heads

day 4- 4x2= 8 heads

day 5- 8x2= 16 heads

Answer:

(a) 5.00%

(b) 7.00%

(c) 12.35%

Step-by-step explanation:

(a) Find the difference, in £, between the value after the first year and the original value. Divide that by the original value and multiply by 100:

[tex]262.50-250=12.50\\\\\frac{12.5}{250}*100= \frac{125}{25}=5.00\%[/tex]

(b) Find the difference, in £, between the value after the second year and the value after the first year. Divide that by the value after the first year and multiply by 100:

[tex]280.88-262.50=18.38\\\\\frac{18.38}{262.50}*100= 7.0019\%=7.00\%[/tex]

(c) Find the difference, in £, between the value after the second year and the original value. Divide that by the original and multiply by 100:

[tex]280.88-250=30.88\\\\\frac{30.88}{250}*100= 12.352\%=12.35\%[/tex]

Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.

Answer:

12

Step-by-step explanation:

I took the k12 test and 12 was correct, all though these test may look the same but numbers and questions are asked just alike but different so this answer might not work for you, hope this helps!

Answer:

No Solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

$900

Step-by-step explanation:

He makes $288 the first week and $612 the second week the total amount of money he makes is $900

Answer:

96*3= $288 from last week

204*3= $612 from this week

The total is $900 from both weeks

Step-by-step explanation:

Hope this is what you were asking!

Responder:

Los cuadros 89 y 91 presentan proporcionalidad directa

El cuadro 90 muestra una correlación directa.

Explicación paso a paso:

De la imagen adjunta:

Cuadro 89:

Para mostrar proporcionalidad directa:

y α x

y = kx; k = constante de proporcionalidad

Comprobando las tablas:

Cuadro 89:

A = 1,5; B = 3

B = kA; 3 = 1.5k

k = B / A

k = 3 / 1,5 = 2

Usando k = 2;

demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.

B = 2 * 2 = 4

Por tanto, el cuadro 89 exhibe proporcionalidad directa

Comprobando las tablas:

Cuadro 90:

C = 2; D = 8

D = kC; 8 = 2k

k = 8/2 = 4

Usando k = 4;

demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.

B

D = 4 * 3 = 12

De la tabla, D = 9;

Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.

Comprobando las tablas:

Cuadro 91:

E = 1; F = 1/2

F = kE; 1/2 = k

k = 1/2

Usando k = 1/2;

demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.

F = 1/2 * 3 = 3/2

Por tanto, el cuadro 91 presenta proporcionalidad directa.

Answer:

The answer is 18,480

Answer:

6.2 by the power of 0 pulse 3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because if u look at 4 on the right there is no dot there or below it

Answer:

D

Step-by-step explanation:

None of these

Answer:

1. Y-intercept b=5

That means it has a 5.00 starting fee.

2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.

Point one (X1 and Y1) will be the Y-intercept.

X1,Y1 = (0, 5.00)

Point 2 (X2 and Y2) will be the point on the trend line.

X2, Y2 = (200, 6.00)

Plug in:

(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.

3. When printing 200 pages each page will cost $.005.

4. .005x+5

5. .005x+5

.005(300)+5=6.5

good luck♡♡!!

Step-by-step explanation:

The estimated cost of printing Sarah's 300-page book is $6.50.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The y-intercept for the trend line is the value of y when x is equal to zero, which is 5.

The real-world meaning of this point is the fixed cost or base cost of printing a book, which includes expenses like labor, equipment, and materials that are not dependent on the number of pages in the book.

We are given one point on the trend line, (200,6), and the y-intercept is (0,5). So, we can substitute these values in the formula:

slope = (6 - 5) / (200 - 0) = 0.005 or 1/200

The real-world meaning of the slope is the variable cost per page, which represents the additional cost of printing each page beyond the fixed cost.

In this case, the slope of 0.005 means that it costs $0.005 or half a cent to print each additional page.

Using the slope-intercept form, the equation for the trend line is:

y = mx + b

where m is the slope and b is the y-intercept. Substituting the values we obtained in steps 1 and 2, we get:

y = 0.005x + 5

To estimate the cost of printing Sarah's 300-page book, we substitute x = 300 in the equation:

y = 0.005(300) + 5 = 6.5

So, the estimated cost of printing Sarah's 300-page book is $6.50.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ2

Answer:

C

Step-by-step explanation:

Hello There!

so

y = -5x^2 + 8x +4

where y = height of ball and x = seconds after ball was thrown

The plus 4 is the y intercept and because y equals height of ball the 4 would represent the height that the ball was thrown at

~TheMathWiz

Answer:

It is C

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

Answer:

I think the answer is {10,20,30} but please check it

Answer:

I only know the first one for right now and the answer is 17

Step-by-step explanation:

You got to find the value of x in the figure

To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2

x^2=64+225

x^2=289

Then it's x= 289 like this

[tex] \sqrt{289} [/tex]

Which gives you the answer 17

Let me know if this helps

Answer:

1220cm²

Step-by-step explanation:

Given :

Lenght, l = 17 cm

Width, w = 14 cm

Height, h = 12 cm

Surface area = 2(lw + lh + wh)

Surface area = 2[(17*14) + (17*12) * (14*12)]

Surface area = 2(238 + 204 + 168)

Surface area = 2(610)

Surface area = 1220cm²

2 solutions

Step-by-step explanation: Discriminant D = √(-8²-4·1·(-20) =√(144)

Because D> 0, there are 2 roots

Answer: 5 x 2 1/2 x 1 1/2

Step-by-step explanation: To figure it out you have to use the fromula for volume, V= W x L x H.

Hope that helps :)

Answer:

Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer

Step-by-step explanation:

Sample standard deviation, s = 3.2

Population standard deviation, σ = 2

Defining the Null and alternative hypothesis :

H0 : σ = 2

H1 : σ > 2

The test statistic :

Use the Relation :.

[(n - 1)*s²] ÷ σ²

[(10 - 1) * 3.2²] ÷ 2²

(9 * 10.24) ÷ 4

92.16 ÷ 4

= 23.04

We obtain the Pvalue for the distribution :

Using the Pvalue from Chisquare distribution calculator :

Pvalue(Chisquare score, df)

df = n - 1 = 10 - 1 = 9

Pvalue(23.04, 9) = 0.006107

Decision :

If Pvalue is < α ; Reject H0 ; α = 0.05

0.006107 < 0.05 ; We reject H0

Answer:

44

Step-by-step explanation:

she set aside $44 for vacation

pls brainliest btw

X°= 89°

X is parallel to the other side so it would be equivalent to the same thing as  the top number

Answer:

x=89 grades or 99 grades.

Answer:

11.1

Step-by-step explanation:

320/ 12 = 26 2/3

296 / (26 2/3) = 11.1

Answer:

LOOK BELOW!

Step-by-step explanation:

6#

6.  (-3, 0)

7. (-1, -2)

8. (-5, -3)

9.  (1, -1)

10.  (1, -2)

how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)

[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]

6. (-3,0)

7. (-1,-2)

8. (-5,-3)

9. (1,-1)

10. (1,-2)

[tex]\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Answer:

Jazzy did 15 deposits of $25

Step-by-step explanation:

We know that Jazzy has deposited $375 in 15 deposits of m.

Then we must have that 15 times m is equal to $375, this can be written as:

15*m = $375

Now we can solve this for m, if we divide both sides by 15 we get:

(15*m)/15 = $375/15

m*(15/15) = $375/15

m = $375/15 = $25

Tjos ,eams tjat Jazzy did 15 deposits of $25.