What is the volume (in cubic units) of a sphere with a radius of 21 units? Assume that =3.14 and round your answer to the nearest hundredth when necessary.

Answers

Answer 1

Answer: [tex]V=38772.72\ units^3[/tex]

Step-by-step explanation:

Given

radius of  sphere [tex]r=21\ units[/tex]

Volume of sphere can be calculated by this formula

[tex]V=\frac{4\pi }{3}r^2[/tex]

[tex]V=\frac{4\pi }{3}\times (21)^3[/tex]

[tex]V=\frac{4\pi }{3}\times 9261[/tex]

[tex]V=38772.72\ units^3[/tex]


Related Questions

Find the 7th term of the sequence 216,-144,96,-64

Answers

Answer:

Step-by-step explanation:

r=-144/216=-2/3

[tex]a_{7}=216(-2/3)^{7-1}\\=216(\frac{-2}{3} )^6\\\\=216(\frac{2^6}{3^6})\\=216\times\frac{64}{729}\\=\frac{512}{27}\\[/tex]

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers? x y 12 60 15 75 36 calories 108 calories 720 calories 900 calories

Answers

Answer:

900 calories

Step-by-step explanation:

each cracker has 5 calories so you would times 5 by 180 which gets you 900

Answer:

option D

Step-by-step explanation:

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers? x y 12 60 15 75 36 calories 108 calories 720 calories 900 calories

Which expression is equivalent to 5a+20?

Answers

Answer: 5(a+4)

Step-by-step explanation:

An expression that is equivalent to 5a + 20 is: 5 ( a + 4 ).

Since 5 times a equals 5a and 5 times 4 equals 20.

Therefore, 5 (a + 4) is equivalent to 5a + 20.

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters

Answers

Answer:

Step-by-step explanation:

area = pi*radius*radius -> Radius =  [tex]\sqrt{\frac{area}{pi} }[/tex]

area: 63.585 m2

   -> radius = [tex]\sqrt{\frac{63.585}{3.14} }[/tex] = 4.5 m

area: 28.26m2

  -> radius = [tex]\sqrt{\frac{28.26}{3.14} }[/tex] = 3m

   -> diameter = 6m

area: 120.7016m2

  -> radius = [tex]\sqrt{\frac{120.7016}{3.14} }[/tex] = 6.2m

   -> diameter = 12.4m

area: 12.56m2

   -> radius = [tex]\sqrt{\frac{12.56}{3.14} }[/tex] = 2m

area: 482.8064m2

   ->radius = [tex]\sqrt{\frac{482.8064}{3.14} }[/tex] = 12.4m

area: 113.04 m2

   ->radius = [tex]\sqrt{\frac{113.04}{3.14} }[/tex] = 6m

Caitlin says that the point
(10, 2) on the graph below means that 2 hats cost $10.00. Is Caitlin correct?

Answers

Answer:

yes

Step-by-step explanation:

Mia the scientist is tracking daily temperature changes for study on parakeet migration she records 10° in the morning and 50° in the evening what is the total temperature change for that day

Answers

Answer:

The answer is 40 degrees.

Step-by-step explanation:

If the temperature she recorded in the morning is 10 degrees and 50 degrees in the evening then the total temperature change during the day from morning to evening is an increase of 40 degrees.

I hope this answer helps.

Find the value of the expression
5
×
7

4
×
4
.

A.

45
B.
19
C.
60
D.
124

Answers

Answer:

19

Step-by-step explanation:

5*7 - 4*4

PEMDAS says multiply and divide first

35 - 16

Then add and subtract

19

Answer:

19 hope this helps ☜(⌒▽⌒)☞☜(゚ヮ゚☜)

Step-by-step explanation:

solve the following equation
80=5k

Answers

Answer:

K=16

Step-by-step explanation:

divide 80 by 5 and get ur answer

Question
Statistical
Not
statistical
How much does a movie ticket cost at each theater in New York
City?
How many movie theaters are in New York City?
What movie theater in town has the least expensive popcorn?

Answers

Answer:

A=statististical

B=non statistical

C=non statistical

Step-by-step explanation:

i did the test and i got it all right, hope this help you!<3

wut is 9-4-6-0-2-4-1=

Answers

Answer:

-8

Step-by-step explanation:

Hope this helps.

Answer:

-8

Step-by-step explanation:

9-4 = 5

5-6= -1

-1-0=-1

-1-2= -3

-3-4=-7

-7-1= -8

Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest​

Answers

Answer:

Answer is (d) 3

You can see that :

6/2 = 12/4 = 18/6 = 24/8 = 30/10 = 3

Thua the answer is 3

Do these side lengths make a right triangle? 5, 12, 13

Answers

Answer:

This is a right triangle

Step-by-step explanation:

We will use the Pythagorean theorem

a^2 + b^2 = c^2

If this is true it is a right triangle

5^2 + 12^2 = 13^2

25+144 = 169

169 =169

This is true so this is a right triangle

A circle has a diameter of 7.2 inches.
What is the circumference of the circle, rounded to the nearest tenth of an inch?
inches
T
T
x
X
1
2
3
09 || +
4
5
6
OF
+
7
8
9
-
1
0
-
%

Answers

Answer:

22.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 7.2 inches

Approximating pi by 3.14

C = 3.14 * 7.2

C = 22.608

Rounding to the nearest tenth

C = 22.6


PLEASE HELP IF WRONG WILL REPORT!
What is the measure of the unknown angle?

A. 145°
B.148°
C. 150°
D. 151°

Answers

Answer:

D

Step-by-step explanation:

Because the angle with measure 29 degrees and n are a linear pair, their value must add up to 180 degrees. Therefore:

n+29=180

n=180-29

n=151 degrees, or answer choice D

Hope this helps!

Consider the following set of data: 1, 2, 4, 5, 8, 12, 17 1. Define what is meant by “measures of variation.” 2. What is the interquartile range of the data? 3. What is the mean absolute deviation of the data?

Answers

Answer: 2.) the interquartile range is 10

Step-by-step explanation: see pic

I hope this helps :)

Lines a and b are parallel. What is the value of x? 5 10 35 55

Answers

Where is the equation?

What is the slope-intercept equation of the line below?

Answers

Answer:

The slope-intercept form:

[tex]y = -3x +4[/tex]

Step-by-step explanation:

-To get the slope-intercept equation, you first need to find the slope by using this equation [tex]m = \frac{rise}{run}[/tex] (starting counting from the first point, to the second point) in order to get the slope. After you have the slope, you need to find the y-intercept ( y-intercept is where the line crosses the y axis of the graph, basically). So, to find that, you need look for the point that only crosses the y axis to get the y-intercept. After you have both the slope and y-intercept, you put it in slope-intercept form:

The two points I found from the following graph are:

[tex]( 1, 1)[/tex] and [tex](2, -2)[/tex]

Trick: Since the line of the graph shows that it is down (not up), Start counting down from point [tex]( 1, 1)[/tex] to point [tex](2, -2)[/tex]. Then, find the y-intercept:

[tex]m = \frac{-3}{1} = -3[/tex]

[tex]b = 4[/tex]

Use it to create a slope-intercept form:

[tex]y = mx +b[/tex] (where [tex]m[/tex] represents the slope and [tex]b[/tex] represents the y-intercept)

[tex]y = -3x +4[/tex]

So, therefore the slope-intercept form is [tex]y = -3x +4[/tex] .

please help! i’m stuck

Answers

Answer:

CD = 12.

Step-by-step explanation:

By the tangent-secant theorem:

AB^2 = AC * AD

8^2 = 4 * AD

AD = 64/4 = 16

Finally CD = AD - 4 = 12.

In a recent survey about what food was your favorite take-out, it was determined that 40% of students
preferred pizza, 32% of students preferred cheeseburgers, and 28% of students preferred tacos. Based of
this data, how many students out of 1,800 chose cheeseburgers?

Answers

Answer:

576

Step-by-step explanation:

Answer:

576 chose cheese burgers

Step-by-step explanation:

Take the total amount of students and multiply by the percent that chose cheeseburgers

1800*32%

Change to decimal form

1800*.32

576

576 chose cheese burgers

The total cost of buying apples from a farm stand is shown in the table.
What is the cost per pound of apples?
A $1.50 per Sound
B. $2.00 per pound
C. $2.50 per pound
D. $3.00 per pound

Answers

Answer:

$1.50 per pound

Step-by-step explanation:

got same question and got it right.

The cost per pound of apples is given as $1.50 per pound.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

From the table,

Let the cost of the apples is directly proportional to the pound of x apples,
y = kx

Where k represents the cost of each pound of apply,
From the table consider an ordered pair,
x = 2, y = 3
Now,
3 = 2k
k = 3 / 2
k = 1.5

Thus, the cost per pound of apples is given as $1.50 per pound.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2

On a sine function y = Asin(Bx) +C , the maximum value is 19 and the minimum value is -5. Which of the following must be the value of |A| - C ?

Answers

Answer:

|A| - C = 5

Step-by-step explanation:

The maximum value that a sine function can have is 1, and the minimum value is -1.

With this information, to find the minimum value of y, we can use sin(Bx) = -1, and to find the maximum value, we can use sin(Bx) = 1. Then, we have that:

19 = A + C

-5 = -A + C

Summing both equations, we have:

14 = 2C

C = 7

Now, to find the value of A, we can use the first equation:

19 = A + C

19 = A + 7

A = 12

So the value of |A| - C is:

|12| - 7 = 12 - 7 = 5

Can u please solve this question ???
Please solve this as fast as you can

Answers

First is 20 plus 20 plus 5

5/8 x 5/12 in its simplest form​

Answers

Answer:

25/96

Step-by-step explanation:

5 times 5 = 25

8 times 12 = 96

put them together as a fraction and you get 25/96

simplified.

Answer:

[tex]\frac{25}{96}[/tex]

Step-by-step explanation:

[tex]\frac{5+5}{8+12}[/tex]

[tex]\frac{25}{8TIMES12}[/tex]

[tex]\frac{25}{96}[/tex]

Which of the following best illustrates the commutative property of addition?
a. 8 + (7 + 3) = (8 + 7) + 3

b. 8(7 + 3) = 8(7) + 8(3)

c. (8 + 7) + 3 = 3 + (8 + 7)

d. 8 + (7 + 3) = (8 + 7) + (8 + 3) − 8

e. 8 + (7 + 3) = 8 + (7 + 3

Answers

Answer:

. 8 + (7 + 3) = (8 + 7) + 3

Step-by-step explanation:

commutative property of addition

a(b+c)=(a+b)+c

Answer:

c

(8 + 7) + 3 = 3 + (8 + 7

Step-by-step explanation:

the number of sides of a regular polygon whose interior angle is 140​

Answers

Answer:

9 sides

Step-by-step explanation:

Two methods and the same answer = 9 sides

Method 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Method 2: Since the exterior angle 140 degrees, The sum of the interior angles = (2n - 4)* right angles. So 140n =(2n - 4)* right angles, or

140n =(2n - 4)*90, or

140n = 180n - 360, or

40n = 360, or

n = 9 sides.

Hence the number of sides is 9 sides.

Answer:

9

Step-by-step explanation:

The sum of the interior angle and the exterior angle = 180°

Thus the exterior angle of the polygon = 180° - 140° = 40°

The sum of the exterior angles of a polygon = 360°, thus

number of sides = 360° ÷ 40° = 9

I WILL VOTE BRAINLIEST AND GIVE THANKS! AND I AM GIVING 20 POINTS! (DESPERATE)
Please help! I need this answered as soon as possible, please! Thanks!
Look at the file (Image of Number line) to see the picture required to help you solve the problem.



The number line shows the graph of an inequality:


Which statement explains whether −2.5 can be a value in the shaded region?


Yes, it can, because −2.5 lies to the left of −0.5.


Yes, it can, because −2.5 lies to the right of −0.5.


No, it cannot, because −2.5 lies to the left of −0.5.


No, it cannot because −2.5 lies to the right of −0.5.

Answers

Answer:

first one man

Step-by-step explanation:

Answer:

Yes, it can, because −2.5 lies to the right of −0.5.

Step-by-step explanation:

Tim tiene 39 pares de audífonos y 13 reproductores de música. Tim quiere vender todos los audífonos y los reproductores de música en paquetes idénticos. ¿Cuál es el mayor número de paquetes que Tim puede hacer?

Answers

Answer: 13 packages.

Step-by-step explanation:

This can be translated to:

Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages. What is the largest number of packages that Tim can do?

To solve this we must find the largest common factor between 39 and 13.

to do this, we divide the smaller number by different integers, and see if the result also divides the larger number into an integer.

13/1 =13 and 39/13 = 3

So 13 is the largest common factor.

This means that we can make 13 packages, each with:

39/13= 3 headphones

13/13 = 1 music players

Jina sold t-shirts at a festival. She made $3 for each t-shirt she sold. Her expenses were $27. If she made a profit of $51, how many t-shirts did she sell?

Answers

Answer:3x+27=51

27-27=0

51-37=x

X=14

Step-by-step explanation:

Per shirt would be the “x” part of the equation. Meaning 3x would be the cost per shirt. And if her total 51, and it were to be a profit, you would add $27 to 3x.

(4 × 6) ÷ (2 + 4) ÷ (8 ÷ 4)? please help

Answers

The answer is 2 hope this helps!

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Step 1) Divide the figure into shapes

Triangle: 9 x 10

Large rectangle: 8 x 17

Small rectangle: 5 x 9

Smaller rectangle (bottom): 4 x 6

Step 2) Find the area of each shape

Triangle: A = 1/2 x 9 x 10 = 45

Large rectangle: A = 8 x 17 = 136

Small rectangle: A = 5 x 9 = 45

Smaller rectangle (bottom): A = 4 x 6 = 24

Step 3) Add the areas together

A = 45 + 136 + 45 + 24 = 250 square kilometers

Hope this helps! :)

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