if the volume of a sphere is 36 pi cubic inches, what is the radius?​

Answers

Answer 1

Answer:

r = 3 in

Step-by-step explanation:

The volume (V) of a sphere is calculate as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here V = 36π , then

[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )

4πr³ = 108π ( divide both sides by 4π )

r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )

r = [tex]\sqrt[3]{27}[/tex] = 3


Related Questions

Please help me with this geometry question and show work

Answers

(3) 8

Step-by-step explanation:

Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.

BC/AB = DE/AD

BC/10 = 12/(10 + 5) = 12/15 = 4/5

or

BC = 10(4/5) = 8

Please help kitty(
<3

Answers

Answer:

A. increasing curve

Step-by-step explanation:

exponential equations always have a curve, so you know it has to be the one about a curve.

A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task

Answers

252.5 is the answer to this question

Fill in the spaces to complete the equality
Help

Answers

Answer:

(n + 13n)

Step-by-step explanation:

13n (n) = 13n²

add 13n

so 13n (n + 13n) = 13n² +13n

I believe they are both supposed to add up to 26n^2 so any combination should work suck as (10n^2 +3n)

Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
responses what percent is the increase 100 of the original number of responses 802

Answers

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%

40 POINTS!!!
All integers are either odd or even. Conceptually, an integer is odd if it has a remainder of 1 when dividing by 2. And an integer is even if it has a remainder of 0 when dividing by 2.

But when proving something rigorously, mathematicians use more precise definitions, like these: an integer is odd if it can be written in the form 2k + 1, where k is some integer. An integer is even if it can be written in the form 2k, where k is some integer. For example, 13 is odd because 13 can be written as 2(6) + 1.

With these definitions, use complete sentences to explain why zero is an even number.

Answers

Answer:

[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]

Wow what grade are you in? Cause this is so much, sorry

An artist made a 54-inch-tall statue of a former president. If the president was 6 feet tall, what scale did the artist use?

Answers

Answer:

[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]

Step-by-step explanation:

To get a scale of inches to feet, divide both 54 and 6 by 54:

[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]

(3a+b)³ please help me​

Answers

Answer:

[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]

Step-by-step explanation:

[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]

Answer:

Step-by-step explanation:

9a^3+18a^2b+9ab^2+b^2

Please help asap. Thank you! :)

Answers

When he cubed ,

Result is x³

On further squaring x³, he got = (x³)²

[tex] {x}^{6} [/tex]

Therefore, k = 6

Solve x2+x-1=0 using the quadratic formula.

Answers

Answer:

x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]

Step-by-step explanation:

Ignore the A that doesn't belong in the answer

A square has the same perimeter as a triangle. The triangle's area is 16 root 3. What is the hypotenuse of the square?

Answers

Answer:

12\sqrt{2}

Step-by-step explanation:

To get the hypotenuse, first we need to get the side length of the square

Area of the square = L²

16\sqrt{3} = L²

L = 4×3

L = 12

Using pythagiras theorem to get the hypotenuse

Hyp² = 12²+12²

Hyp² = 144+144

Hyp² = 288

Hyp = \sqrt {288}

Hyp = 12\sqrt{2}

Hence the hypotenuse of the square is 12\sqrt{2}

John, Jack, Jim, and Joe all decided to take up horseback riding. Jim went twice as many times as Jack, and John went four more times than Joe but three less times than Jim. Joe went 15 times altogether. How many times did Jack go?

Answers

Answer:

11 times

Step-by-step explanation:

Given

[tex]Jim = 2 * Jack[/tex]

[tex]John = 4 + Joe[/tex]

[tex]John = Jim - 3[/tex]

[tex]Joe = 15[/tex]

Required

Find [tex]Jack[/tex]

Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]

[tex]John = 4 + 15[/tex]

[tex]John = 19[/tex]

Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]

[tex]19 = Jim - 3[/tex]

Collect like terms

[tex]Jim = 19 +3[/tex]

[tex]Jim = 22[/tex]

Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]

[tex]22 = 2 * Jack[/tex]

Divide both sides by 2

[tex]Jack = \frac{22}{2}[/tex]

[tex]Jack = 11[/tex]

Mike needs to replace the carpet in his living room. The carpet he likes costs $7.50 per square foot to purchase and install. His living room measures 263.5 square feet. How much will it cost to replace the carpet?

Answers

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

What is the y-intercept of 4(0.6)^x

Answers

Answer:

4

Step-by-step explanation:

The y-intercept is where x = 0

y = 4(0.6)^0

y = 4(1)

y = 4

The mass, m grams, of a ball is 415g, correct to the nearest 5 grams. Complete the statement about the value of m

Answers

this is g mail ok dont do enything messed up ok :)

(-6)(4) preform indicated operation

Answers

Answer:

-24

Step-by-step explanation:

(-6)(4)

The indicated operation is multiplication

-24

Answer:

-24

Step-by-step explanation:

Multiply -6 and 4

PLEASE PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee

You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!

Answers

Answer:

d. if graphed, the ordered pairs would form a straight line.

I really need help on this problem ASAP please and thank you

Answers

Answer:

Step-by-step explanation:

Please help??? An explanation would help too and the answers

Answers

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

Please help me I put 100 points for anyone who helps me

Answers

Answer:

a)

The discount id 40%, so the function is:

d = 0.4p

b)

p = 100 ⇒ d = 40p = 200 ⇒ d = 80p = 300 ⇒ d = 120p = 400 ⇒ d = 160p = 500 ⇒ d = 200

The graph is attached

c)

p = $85 ⇒ d = 0.4*$85 = $34

Sale price is:

CP = p - d = $85 - $34 = $51

Answer:

please give me some thanks please good morning

Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6

Answers

The correct answers is A:12

20% of j is 12 what is j

Answers

Answer:

60

Step-by-step explanation:

20/100 * j = 12

j = 12 * 100/20

j = 60

https://imgur.com/a/GMyk3iX

Answers

Answer:What’s the link about ?

180 = 5x + 12x + 27
153 = 17x
That means x = 9

Which of the following shows the correct order of the given numbers?

1, 1, 1.6

Answers

1.6, 1, 1 because 1.6 is more than one so it is bigger.

combine the radicals 9✔x -3✔x

Answers

Answer:

6√x

Step-by-step explanation:

Given :-

9√x - 3√x .

For combining , take √x as common ,

=> √x ( 9 - 3 )

=> √x * 6

=> 6x

Describe the relationship between ∠2 and ∠8

Answers

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angles can be corresponding; alternate or same side; or interior or exterior. The angles 2 and 8 are on opposite sides of the transversal; this means that they must be alternate angles. Additionally, they are both within the parallel lines, so they are interior. Alternate interior angles are always congruent. Therefore, their measurements must be equal.

Answer:

They are alternate interior angles

Step-by-step explanation:

<2 and <8 are inside the parallel lines and on opposite sides of the transversal

They are alternate interior angles

Question 19 of 25 The graph of F(x) shown below resembles the graph of G(X) = x4, but it has been vertically stretched. Which of the following could be the equation of F(x) ? 5 5 ÜL O A F(x) = -1x*​

Answers

graph gx is the reflection of graph fx and then transformed 1 unit down

divide (6x³+5x²-4x+3) by (2x+3)​

Answers

Answer: 3x^2-2x+1

Step-by-step explanation:

Answer:

3x² - 2x + 1

Step-by-step explanation:

To get 3x²

6x³ ÷ 2x

To get -2x

-4x² ÷ 2x

To get +1

2x ÷ 2x

60 points and brainiest!!!!!! Pls help me

Answers

Answers:

1.) x - 3, x < -3

2.) x - 3, x>3

3.) x - 3, -3 <_ x > 3

4.) 2/5, 3/6

5.) 8, 10

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