What is the volume of a sphere with a radius of 21 units?
A. 9261 pie units 3
B. 12,348 pie units 3
C. 588 pie units 3
D. 37,044 pie units 3

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The volume (V) of a sphere is calculated as

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

V = [tex]\frac{4}{3}[/tex]π × 21³

   = [tex]\frac{4}{3}[/tex]π ×9261 = [tex]\frac{4(9261)}{3}[/tex]π = 12348π units³ → B

Answer 2

Answer: B: 12,348π units³ which is 38,772.72 units³

Step-by-step explanation:

The formula of the volume of a sphere is V = [tex]\frac{4}{3}[/tex]πr³

Since we know that the radius is 21, we can fill in the given numbers:

V =  [tex]\frac{4}{3}[/tex]π(21)³

Now, the new formula is V =  [tex]\frac{4}{3}[/tex]π(9,261) = 38,772.72


Related Questions

kelly is hanging shelves in her closet. She can buy sheleves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measure 24 inches. The rest of her materials cost $90. How much change will she get it she pay with $100? please explain and show your work

Answers

The 24 inch shelve is 2 feet ( 1 foot = 12 inches)

She bout 7 feet of shelves (5 + 2 = 7)

The total cost for the shelves was 7 x 1.25 = $8.75

She spend an additional 90 so her total spent was 90 + 8.75 = $98.75

Now subtract her total from 100 to find the amount of change:

100 - 98.75 = 1.25

The change was $1.25

Help me with this please

Answers

Answer:

There is one variable and that is x

Please mark Brainliest if this helps!

Answer:

There are 3 variables

Step-by-step explanation:

7 (x) X is a variable your equation holds Three X's

5(y+2/5)= -13 (please have an explanation)

Answers

Answer:y=-3

Step-by-step explanation:5(y+2/5)=-13

so first you simplify both sides of the equation

(5)(y)+(5)(2/5)=-13

then you distribute

5y+2=-13

then you subtract 2 from both sides

5y+2-2=-13-2

5y=-15

then u divide both side by 5

5y=-15

5       5

y=-3

PLS HELP NOW ! WILL MARK BRAINLIEST AND 5 STARS
2x-3/4 + x = 2x+3/2 + 9
^ and ^ are FRACTIONS

Answers

Answer:

x = 45/4

Step-by-step explanation:

2x - 3/4 + x = 2x + 3/2 + 9

- 3/4 + x = 3/2 + 9

- 3/4 + x = 21/2

x = 21/2 + 3/4

x = 45/4

-7 + (-40) =

What is the sum?

Answers

Answer:

-47

Step-by-step explanation:

-7+(-40)=

-7-40=

-47

Hope this helps!

The sum of -7 + (-40) is -47.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

An expression,

-7 + (-40).

To find the sum:

-7 + (-40),

Simplifying,

-7 - 40

= -47.

Therefore, the value is -47.

To learn more about the addition;

brainly.com/question/29464370

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What is the solution to the equation 3 1/2+ p = 5 1/4 ?

p =
p = 2
p =
p = 1

Answers

P=4 and 4 of the 5 equals 78

Answer: D. P = 1 3/4

Step-by-step explanation:

In a right triangle, one leg is 20 cm and the hypotenuse is 30 cm. To the nearest hundredth of a cm, find the length of the missing leg. Formula and diagram required. Include units in your answer.

Answers

Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

square of hypotenuse = sum of squares of two other sides

let the missing side be d

30^2 = 20^2 + d^2

600 = 400 + d^2

d^2 = 200

d = square root of 200

d = 14.142 cm

Answer:

22.36

Step-by-step explanation:

For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,

→ a² + b² = c²

⇒ Substitute in the values

→ 20² + b² = 30²

⇒ Simplify

→ 400 + b² = 900

⇒ Minus 400 from both sides to isolate b²

→ b² = 500

⇒ Square root both sides to find the value of the leg

→ b = 22.360679775 cm

The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.

Which letters have line symmetry choose our answers that are correct

Answers

Answer:

Letters O and E have lines of symmetry ! Vertically & horizontally

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.



What is the measure of angle BCD?


37°


53°


74°


106°

Answers

The measure of angle BCD in circle A is 74°.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point is constant.

From the circle:

BC = CD (tangents that meet at the same point are equal)

But ∠ABC = 90° (angle between tangent and radius)

In triangle ABC:

∠ABC + ∠BCA + ∠BAC = 180 (triangle)

90 + ∠BCA + 53 = 180

∠BCA = 37°

Hence:

∠BCA = ∠ACD = 37°

angle BCD = ∠BCA + ∠ACD = 37 + 37 = 74°

The measure of angle BCD in circle A is 74°.

Find out more on circle at: https://brainly.com/question/24375372

Which is the rate of change for the interval between 3 and 6 on the x-axis? –3 –2 2 3

Answers

Answer:

2

Step-by-step explanation:

multiplier of 2..

-------

Answer:

Which is the rate of change for the interval between 3 and 6 on the x-axis?

Step-by-step explanation:

c- 2

pls help i give u brainliest amd 5 stars​

Answers

Answer:

160

Step-by-step explanation:

60-24=36 left

24 x 8 = 192

36/2=18

9 x 12 =108

108+192=300

300-140= 160 euros profit

Write the value of the expression 3^3/3^6

Answers

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

A box contains different-colored marbles. If P(blue) = 1, P(green) = 4, and P(blue and green) = 12, which state
true?
The events are independent because P(blue). P(green) = P(blue and green).
The events are independent because P(blue). P(green) + P(blue and green).
The events are dependent because P(blue). P(green) = P(blue and green).
The events are dependent because P(blue). P(green) + P(blue and green).

Answers

Answer:

Not 100 percent sure but i think the correct answer is the last one.

Step-by-step explanation:

I know that the answer is either the last one or before the last because they are dependent on each other. This is because the probability of both increases when they are added together. The more you have the more likely to get one of them. I went for the last one because i think that the value of together is greater than when they are added.

Again, not 100 percent sure, tried to give it my best shot.

Hope this helps.

Answer:

A) dependent, because the product of P(blue) and P(green) does not equal P(blue and green)

Step-by-step explanation:

Just did it on edge 2020

Which two points have a undefined slope

A.(-1, 1) and (1, -1)

B.(-2, 2) and (2,2)

C.(-3, -3) and (-3,3)

D.(-4,-4) and (4, 4)

Answers

Answer:

C.(-3, -3) and (-3,3)

Step-by-step explanation:

When we have a vertical line the slope is undefined.

That means the x values stay the same

C.(-3, -3) and (-3,3)

This has the same x values

m = (y2-y1)/(x2-x1)

   =( 3- -3)/(-3 - -3)

   (3+3)/(-3+3)

   6/0

  undefined

Answer: C

Step-by-step explanation:

The width of a poster is 8cm less than the length. The perimeter is more than 184
cm. If the length and width are both integers, what is the minimum dimension for
the length?

Answers

Answer:

Denote the length is a, then the width is a - 8.

The perimeter is more than 184:

=> 2 x ( a + a - 8) > 184

=> 2a - 8 > 92

=> 2a > 100

=> a > 50

=> a = 51

=> Minimum dimension for the length: a = 51

Hope this helps!

:)

can anyone helpp. its under probability and statistics!

Answers

Answer:

C

Step-by-step explanation:

A brother and a sister are in the same math class. There are 9 boys and 8 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.

The probability is ?

Answers

Answer:

for the girl, the probability is 1/8 or one out of 8. And, for the boy, it is one out of 9 or 1/9. Do you need to find one probability rate for both of them or one for each kid?

Step-by-step explanation:

Evaluate 7 − (−1). (1 point)

Answers

Answer:

8

Step-by-step explanation:

7 - -1

When we subtract a negative, it is like adding

7+1

8

if you're good at logarithms please help me with question j on the bottom

Answers

Step-by-step explanation:

[tex]a) \\ log_{x}(15) \\ = log_{x}(3 \times 5) \\ = log_{x}3 + log_{x}5 \\ = 1.5 + 1.8 \\ = 3.3[/tex]

[tex]b) \\ log_{x}(2) \\ = log_{x}(\frac{10}{5}) \\ = log_{x}10 - log_{x}5 \\ = 3 - 1.8\\

= 1.2[/tex]

[tex]e) \\ log_{x}(150) \\ = log_{x}(3 \times 5\times 10) \\ = log_{x}3 + log_{x}5+ log_{x}10 \\ = 1.5 + 1.8 + 3\\ = 6.3[/tex]

[tex]f) \\ log_{x}(250) \\ = log_{x}( 5^2 \times 10) \\ = log_{x}5^2 + log_{x}10 \\

= 2log_{x}5 + log_{x}10 \\

= 2\times 1.8 + 3\\

= 3.6 + 3\\

= 6.6[/tex]

Answer:

[tex]\log _x\left(6\right)[/tex]

[tex]$\frac{\text{log}(6)}{\text{log}(x)} =\frac{\text{log}(3)}{\text{log}x)}+\frac{\text{log}(3)}{\text{log}(x)}=\frac{1.5}{\text{log}(x)}+\frac{1.5}{\text{log}(x)}=\frac{3}{\log _{10}\left(x\right)}$[/tex]

4 times what equals 9.15?

Answers

Look at the attached picture

Hope it will help you

Help me please I’m stuck

Answers

So the right answer is 60%

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

The answer would be 60%.Goodluck!

A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6
points. Irina got a score of 95 points on the exam.
What proportion of exam scores are lower than Irina's score?
You may round your answer to four decimal places.

Answers

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

Data

mean: 80 pointsstandard deviation (sd): 6 pointsvalue of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

Answer: 0.9938

Step-by-step explanation:

help help helphelp help helphelp help helphelp help helphelp help helphelp help help

Answers

Answer:

b

Step-by-step explanation:

20, the coefficient of this expression, is being divided by x, the variable. Therefore, the correct answer is b, division. Hope this helps!

Answer:

Division

Step-by-step explanation:

/ symbol mean division

QUICK!!! HELP WILL MARK BRAINLIEST!!!!! ANSWER BOTH QUESTIONS!!!!!!

Answers

Both c I’m sorry if I get it wrong I’m pretty sure it’s c for both

ANSWER PLS!!!!!!! EASY!!!!!!!!!!

Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend?

Answers

Answer:

$607

Step-by-step explanation:

25% = 0.25

0.25*2428 = 607

A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches. What are the dimensions of the original picture? 3 inches by 5 inches 3 inches by 15 inches 6 inches by 12 inches 27 inches by 45 inches

Answers

Answer:

3 inches by 5 inches.

Step-by-step explanation:

The scale factor is 3 so the original lengths are 1/3 of the enlarged , so the answer is 9/3 by 15/3

= 3 by 5.

The dimensions of the original picture is 3in by 5in

Scale factors and dimension

Let the original dimension of the drawing be x in by y in

If the dimension of the enlarged picture is 9 inches by 15 inches after using a scale factor of 3, then;

x = 9/3  = 3in

y = 15/3 = 5in

Hence the dimensions of the original picture is 3in by 5in

Learn more on scale factors here: https://brainly.com/question/10253650

is 0.02 greater than 0.1​

Answers

Answer:

No.

Step-by-step explanation:

Since there is a 1 in the tenths place for 0.1, and nothing in the tenths place for 0.02, 0.1 is greater.

The decimal number 0.1 is greater than 0.02. Therefore, the given statement is false.

The given decimal numbers are 0.02 and 0.1.

Similar to comparing other whole numbers, while comparing decimals, one should start with the digits with the highest place value. We first create a place value table with the supplied decimal numbers before starting the comparison. If the digits on the biggest place value match, we go to the digits in the next place to the right. We keep comparing digits until we reach the ones that are different.

Here, 0.1 is greater than 0.02.

Therefore, the given statement is false.

To learn more about the comparison of decimals visit:

https://brainly.com/question/18270620.

#SPJ4

PLEASE HELP!!! ILL GIVE THE BRIANLIEST TO TO WHOEVER ANSWERS CORRECTLY!!!!!!!

O A. 215.547
O B. 234.989
O C. 238.989
O D. 134.589

Answers

Answer:

B

Step-by-step explanation:

The range is the largest number minus the smallest number.

Hope this helps!

Pepper Jackie has 225 square inches for the area for her square mosaic.
How can she figure out how long each side should be?
Area of a Square
A= 225 in.2
S
S
She doesn't have enough
information to do this.
Divide 225 by 4.
Find the positive square
root of 225.
Divide 225 by 2.​

Answers

Answer:

ugh man do I hate iready!!

225/4=56.25

square root of 225 equals 15

225 / 2 equals 112.5

Answer: it’s find the positive square root of 225: I did iReady

Step-by-step explanation:

Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation 2x2 + 4x + 8 = 0.
Which explanation could Anderson provide?
The equation has no real number solutions because the discriminant is 0.
The equation has one real number solution because the discriminant is 0.
O The equation has no real number solutions because the discriminant is less than 0.
The equation has two real number solutions because the discriminant is greater than 0.
Mark this and return
and Exit
Next
Submit

Answers

Answer:

No real number solutions.

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

The discriminant is b² - 4ac

• If b² - 4ac > 0 the equation has 2 real and distinct roots

• If b² - 4ac = 0 the equation has 2 real and equal roots

• If b² - 4ac < 0 the equation has no real roots

Given

2x² + 4x + 8 = 0 ← in standard form

with a = 2, b = 4 and c = 8, then

b² - 4ac = 4² - (4 × 2 × 8) = 16 - 64 = - 48 , thus

The equation has no real number solutions because the discriminant is < 0

Answer:

It's c

Step-by-step explanation:

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After integers are stored in an array, your program should call the following methods in order, output the intermediate results and count statistics on screen, and at end output even integers and odd integers to two different files called even.out and odd.out.Implement the following methods in the program:* public static int[] inputData() This method will ask user for a file name, create an array, and store the integers read from the file into the array. If input file does not exist, give an appropriate error message and terminate the program.* public static void printArray(int[] array) This method will display the content of the array on screen. 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