Determine whether the statement is true or false.
A sphere with volume 972pi cubic inches has surface area 324pi square inches.

Answers

Answer 1

Answer:

True

Step-by-step explanation:

Given

Shape: Sphere

[tex]Volume = 972\ pi[/tex]

[tex]Area = 324\pi[/tex]

Required

True or False

The volume of a sphere is:

[tex]Volume = \frac{4}{3}\pi r^3[/tex]

Substitute [tex]972\pi[/tex] for volume

[tex]972\pi = \frac{4}{3}\pi r^3[/tex]

[tex]972 = \frac{4}{3}r^3[/tex]

Make r the subject

[tex]r^3 = \frac{3}{4} * 972[/tex]

[tex]r^3 = \frac{3 * 972}{4}[/tex]

[tex]r^3 = \frac{2916}{4}[/tex]

[tex]r^3 = 729[/tex]

[tex]r =9[/tex]

The surface area is calculated using:

[tex]Area =4\pi r^2[/tex]

[tex]Area =4\pi *9^2[/tex]

[tex]Area =4\pi *81[/tex]

[tex]Area =324\pi[/tex]


Related Questions

please help me asap.

Answers

Crjcejf Hugh jcusys

120 times 1/2
Do not divide, whole number times fraction.​

Answers

Answer:

60

Step-by-step explanation:

write 120 like this: 120/2

Then just multiply the numerators.

Which gets you 120/2.

Then change it it to a mixed fraction which is 60.

What is the area of this face?

help quickly!!!!!!!!

Answers

The answer for the area is 15

PLEASE HELP IM DYING RN.
WHAT IS X? 6(x+2)=2(x-3)​

Answers

Answer: x=-9/2
Alternative Form: x= -4 1/2, x= -4.5

Answer:

-9/2

Step-by-step explanation:

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

6x+12=2x-6

6x-2x+12=-6

4x+12=-6

4x=-6-12

4x=-18

x=-18/4

simplify

x=-9/2

Which fraction is the least?

A. 1/2

B. 1/5

C. 1/7

D. 1/10

Answers

D.

Hope this helps!!!
:):):):):):)
:):)
D. 1/10 hope this helps

The population of a certain species of insect is given by a differentiable function P , where P(t) is the number of insects in the population, in millions, at time t , where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?

a. P=2(tâ5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P

Answers

Answer:

Option C, dP/dt=1/5P

Step-by-step explanation:

The change is population of insects is directly proportional to the rate of change of population

Hence,

[tex]\frac{dP}{dt} \alpha P[/tex]

Or [tex]\frac{dP}{dt} = kP[/tex]

where K is the proportional constant

We will find the value of k

Keeping the given values of rate of change of population and population in above equation, we get -

[tex]\frac{2}{10} = k\\k = \frac{1}{5}[/tex]

Hence,

[tex]\frac{dP}{dt} = \frac{1}{5} P[/tex]

Help please!!! I’ve tried everything

Answers

Answer:

4.5%

Step-by-step explanation:

We know she made 21/22. That means she miss 1 so subtract 21 from 22. We get 1. then divide 22 by 1. So the equation is

[tex] \frac{1}{22} [/tex]

which is about 0.454. Then multiply by 100 to get the percent which is 4.54. Round to nearest tenth and we get 4.5%

2 digit multiplication using standard algorithm
54x23​

Answers

Answer:

answer = 1242

Step-by-step explanation:

please follow me

It costs James an initial $7 fee to ride a taxi. Plus 6$ a minute. He ends up paying
$139. How many minutes did he ride the taxi for?

Answers

Answer:

$78

Step-by-step explanation:

Can i be brain list

A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected

Answers

Answer:

This spyware is detected 66% of times.

Step-by-step explanation:

We have these following percentages:

Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.

Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.

What percentage of times is this spyware detected

0.7*0.6 + 0.3*0.8 = 0.66

This spyware is detected 66% of times.

Bobby’s farm is always subject to the weather. A bad storm or drought can devastate his crop. What type of risk does Bobby’s business face?
A.
internal
B.
external
C.
avoidable
D.
controllable

Answers

The answer is External

Help!

I fallen and can’t get up.

Answers

I miss when everyone always said this

good times but ty for the points

boo hoo let me play you a sad song on the world's smallest violin

PLEASE HELP ME



Mr. Frankel bought 5 tickets to a puppet show and spent $29. He bought a
combination of child tickets for $5 each and adult tickets for $7 each. Which system
of equations below will determine the number of adult tickets, a, and the number of
child tickets, c, he bought?
A. a = c-7
7a + 5c = 29
B.
a+c= 145
a +c= 5
C. 5a + 5c = 34
a+c=5
D.
7a + 5c = 29
a+c= 5

Answers

I’m not really good at this but I’m pretty sure it’s D

If you combine all the baking soda from the recipes that use exactly 1 1/4

teaspoons, how much baking soda will you have in all?
Write your answer as a fraction, mixed number, or whole number.

Answers

Answer:

Note that per 1/4 tsp of baking soda you need ample amount of acidity which is about 1 cup of buttermilk, 1 cup of brown sugar, 1 teaspoon of lemon juice, or 1 teaspoon of vinegar. Baking Without Baking Soda OR Baking Powder

Step-by-step explanation:

The time for one complete swing of a pendulum can be modeled by the formula P=2π√L/32 where L represents the length of the pendulum in feet and P represents the period of the pendulum in seconds. If the pendulum's period is 2.4 seconds, which of the following best represents the length of the pendulum?

A. 1.7 ft

B. 5.4 ft

C. 4.7 ft

D. 4.4 ft

Answers

Answer:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Step-by-step explanation:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Helppp pleasee need asapp!!!
Two friends decide to rent an apartment and split the cost evenly. They each paid $752 towards the total move in cost which included first and last month’s rent and a security deposit of $499. What will be the cost of rent per month for each of them?

Answers

Answer:

They will both pay $63.50 a month

Step-by-step explanation:

Since they paid $752 total and $499 as a security deposit, you subtract the two, getting you $253 in rent for both months.  Divide that answer by 2 to get $126.5 to get how much they payed each month together, then divide by 2 again to get how much they each payed which is $63.50

Question 17 The probability that a customer's order is not shipped on time is 0.02. A particular customer places three orders, and the orders are placed far enough apart in time that they can be considered to be independent events. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that all are shipped on time

Answers

Answer:

0.941192 = 94.1192% probability that all are shipped on time

Step-by-step explanation:

For each order, there are only two possible outcomes. Either they are shipped on time, or they are not. The probability of an order being shipped on time is independent of other orders. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that a customer's order is not shipped on time is 0.02.

So 1 - 0.02 = 0.98 probability of being shipped on time, which means that [tex]p = 0.02[/tex]

A particular customer places three orders

This means that [tex]n = 3[/tex]

(a) What is the probability that all are shipped on time

This is [tex]P(X = 3)[/tex].

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.98)^{3}.(0.02)^{0} = 0.941192[/tex]

0.941192 = 94.1192% probability that all are shipped on time

What is the measure of N

Answers

Answer:

C) 27 degrees

Step-by-step explanation:

N+63=90

-63. -63

N=27

find the value of each variable in the parallelogram​

Answers

Answer:

Step-by-step explanation:

for the width

16-h=7

16-7=h

h=9

(g+4)=65

g=65-4

g=61degrees

The value of each variable in the parallelogram:

h = 9 and g = 61°.

What is parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Given:

The shape is a parallelogram.

That means, the opposite sides are parallel and equal.

16 - h = 7

h = 16 -  7

h = 9

And opposite angles of a parallelogram are also equal.

g+4 = 65

g = 65 - 4

g = 61°

Therefore, the values are g = 61° and h = 7.

To learn more about the parallelogram;

https://brainly.com/question/29133107

#SPJ2

hey do you mind helping me out?​

Answers

Answer:

20

Step-by-step explanation:

60%-> 12

100%->20

Answer:

20

Step-by-step explanation:

PLEASE HELP SIMPLE NTH TERM
So, i need to find out the nth term of the sequence
25 20 15 10 5
Please help quickly i will give brainliest

Answers

Answer:

-5n + 20

Step-by-step explanation:

n stands for the term number so if you want to find the 50th term all you have to do is substitute n with 50

first of all find the difference between each number in the sequence

the difference between 25 and 20 is -5

the difference between 20 and 15 is -5

the difference between 15 and 10 is -5

the difference between 10 and 5 is minis -5

because

25-5=20

20-5=15

15-5=10

10-5=5

now that you know the the difference you place the number in front of n like this

-5n

to find the rest all you need to do is use the difference between each number which is -5 and do it on the first number

so 25 - 5

this gives 20

so our nth term is -5n + 20

if you still don't get i can re-explain it to you

Please help me on this

Answers

Answer:

61

Step-by-step explanation:

90 divided by 36 is 2.5 add 10 to the 90 then multiply 10 by 2.5 you get 25 then add 25 to 36 witch gives u 61.  90/36=2.5x10=25+36=61

/ is for division. Hope it helps.

Which of these four sets of side lengths will form a right triangle?


Set 1
10 cm, 26 cm, 24 cm

Set 2
4 in., 2 in., 6 in.

Set 3
14 mm, 13 mm, 15 mm

Set 4
10 ft, 30 ft, 20 ft

Set 1
Set 2
Set 3
Set 4

Answers

Answer:

Set 1    Yes

Set 2    No

Set 3 and Set 4   ???

Step-by-step explanation:

Use the converse of the Pythagorean theorem.   Square the lengths and see if 2 results add up to the third result.

So, Set 1

[tex]10^{2} = 100 \\26^{2} = 676\\24^{2} = 576[/tex]       100 + 576 = 676  Therefore we have a right triangle

Set 2

[tex]4^{2} = 16\\2^{2} = 4\\6^{2} = 36[/tex]

16 + 4 ≠  36   Therefore we do NOT have a right triangle

I will let you do Set 3 and Set 4.  OK?

set 1 is the answer ............................................................

I need help pleaseeeees

Answers

it represents the y axis and the x axis. hope this helps! :)

2. For the competition, each band member needs $12 for food. To get to the competition, the school rents 3 buses that cost $580 each. Write and evaluate an expression for these costs.​

Answers

Answer:

(75 × 12) + (3 × 580) = 2640

Step-by-step explanation:

The length of a rectangular garden
is (y + 5). The width is (y). Write a
simplified expression to represent
the perimeter of the garden.
Show your Work.

PLS HURRY!!!!

Answers

Answer:

4y + 10

Step-by-step explanation:

Since the perimeter of a rectangle is 2(l + w), where l is the length and w is the width, the perimeter of this rectangle would be

2((y + 5) + y)

To simplify this, just add similar terms inside the parentheses and multiply them both by 2.

2(2y + 5)

4y + 10

PLEASE HELP !!!!!


describe the process of solving a proportion.

Answers

The process of solving a proportion is given below.

We are given that;

To show the process of solving a proportion

Now,

A proportion is an equation that states that two ratios are equal. For example, if we have 2 4 = 3 6[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , then we have a proportion.

To solve a proportion, we need to find the value of a missing term that makes the equation true. There are different methods to solve a proportion, but one common method is cross-multiplication. Here are the steps to solve a proportion by cross-multiplication:

Multiply the numerator of one ratio by the denominator of the other ratio.

For example, if we have 2 4 = x 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 2 by 6 and get 12.

Multiply the denominator of the first ratio by the numerator of the second ratio.

For example, if we have 2 4 = x 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 4 by x and get 4x.

Set the two products equal to each other. For example,

if we have [tex]2 4 = x 6 {\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex], then we set 12 = 4x.

Solve for the missing term. For example, if we have 12 = 4x, then we divide both sides by 4 and get x = 3.

Check your answer by plugging it back into the original proportion.

For example, if we have x = 3, then we plug it back into 2 4 = x 6 [tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] and get 2 4 = 3 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , which is true.

Therefore, by proportion answer will be given below.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ4

The point is (8,9) is a solution to this system

Answers

Answer:

False

Step-by-step explanation:

I got that they intercepted at (10.857,0.4286)

y=1/2x-5

y=-3x+33

Which inequality is the solution to 20+2 <
Ž -8?

Answers

Answer:

the 20 +2

Step-by-step explanation:

There is a TV that is $189.00. There is a coupon offering 15% off any television purchase. If the sales tax on the TV is 8%, how much will the TV cost total?

Answers

Answer:

175.77 dollars

Step-by-step explanation:

15% off 189.00 is 160.65 then you take that answer and add on the sales tax from the original price.  Doing 189.00 x 8 percent gets you 15.12 dollars.

Add 160.65 + 15.12 to get 175.77 dollars.

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