The volume of a sphere is * cubic centimeters. What is the radius?

The Volume Of A Sphere Is * Cubic Centimeters. What Is The Radius?

Answers

Answer 1

Answer:

Given volume= 32/3 π

Now, we know that volume of sphere = 4/3 π r³ according to the question.

[tex]\frac{4}{3} \pi r^{3} =\frac{32}{3} \pi[/tex]

Both π and 3 are canceled from both sides

Now,

[tex]4r^{2} =32[/tex]

Divide both sides by 4

[tex]r^{3} =\frac{32}{4} =8[/tex]

[tex]r^{3} =8[/tex]

[tex]r=(8)^{1/3} =(2\times 2 \times 2)^{1/3}[/tex]

[tex]r=(2^{3} )^{1/3} =2^{3\times1/3}[/tex]

[tex]r=2 \; cm[/tex]

Radius of sphere = 2 cm

OAmalOHopeO


Related Questions

9. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= 3x2 + 3?

A. (3, 0)

B. (–3, –3)

C. (3, 3)

D. (0, 3)

Answers

Answer:

C. (3, 3)

Step-by-step explanation:

What is the GCF of 12a^4b^2 - 3a^2b^5 ??

Answers

GCF for the numerical part is 3 .

hope it helps~

answer it answer it answer it

Answers

Answer:

22.5º

Step-by-step explanation:

The angle of one shaded part and one unshaded part is 90º

We have shaded part ([tex]s[/tex]) and unshaded part ([tex]u[/tex])

[tex]90\º = u+s[/tex]

[tex]$u=\frac{s}{3} $[/tex]

[tex]$90\º = \frac{s}{3} +s$[/tex]

[tex]$90\º = \frac{s}{3} +\frac{3s}{3} $[/tex]

[tex]$90\º = \frac{4s}{3} $[/tex]

[tex]$270\º = 4s $[/tex]

[tex]s=67.5\º \implies u=22.5\º[/tex]

Answer: 22.5º

Step-by-step explanation:

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

Someone please helppp

Answers

Answer:

Option B is the right answer.

Step-by-step explanation:

x ^2 -7x+12 = (x-4)(x-3)

so, if we put x=3 or 4 than it will be undefined. hope u understand.

E campsite shop also sells boxes of Pick-Me-Up teabags. The base of each box is a 120 mm square. The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle. Work out the maximum number of boxes that will fit on the shelf.

Answers

Answer:

The maximum number of boxes that will fit on the shelf = 189 boxes

Step-by-step explanation:

First, to harmonize the units of the dimensions given, let us convert the unit of the Pick-Me-Up teabags to cm.

1 cm = 10mm

1mm = 0.1cm

∴ 120mm = 0.1 × 120 = 12cm

Therefore, the base of each box is 12cm²

Next, let us calculate the area of the shelf.

Dimension of shelf = 65cm × 35cm

∴ Area of shelf = 65 × 35 = 2275cm²

Therefore, to calculate how many boxes will fit into the shelf, we will divide the area of the shelf by the area of the boxes of Pick-Me-Up teabag. This is shown below.

Area of shelf = 2275cm²

Area of boxes = 12cm²

Number of boxes that will fit on the shelf = Area of shelf ÷ Area of boxes

= 2275 ÷ 12 = 189.58 boxes

since there are no fractional boxes, we will round down to the nearest whole number of boxes.

Hence, the maximum number of boxes that will fit on the shelf = 189 boxes

Solve : (i) 5x+3/4 - 2x-4/3 = 5 (ii) 3(x+5) - 2(3x-1) = 15

Answers

Answer:

(i) x = 67/4

(ii) x = 2/3

Step-by-step explanation:

(i)

5x + 3/4 - 2x - 4/3 = 5 add like terms

3x -7/12 = 5

3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4

(ii)

3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms

17 - 3x = 15

2 = 3x and x = 2/3

find the difference 4 - 15

Answers

first 15- 4= 11

in question they gave 4-15 so

-11

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity

Answers

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

Please help correct answer gets brainliest.

Answers

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

The perimeter of a rectangle is 102 inches. The length is 5 inches greater than the width.

Answers

Answer:

w = 23

l = 28

Step-by-step explanation:

w = width

l = w+5

P = 2 (l+w)

102 = 2( w+5+w)

102 = 2(2w+5)

Divide each side by 2

51 = 2w+5

Subtract 5

46 = 2w

Divide by 2

23 = w

The width is 23 and the length is 23+5 = 28

Answer:

Length=28

Width=23

Step-by-step explanation:

All I did was basically trial and error, to be honest.

Y+y+y+y rewrite in multiplication

Answers

Answer:

4y

Step-by-step explanation:

y+y+y+y

= (1+1+1+1) y

= 4y

Answer:

4y

Step-by-step explanation:

Y+y+y+y

Combine like terms

4y

What is the maximum degree of a reflex angle​

Answers

Answer:

Less than 360 degree

Step-by-step explanation:

I think so

tìm 2 số liên tiếp biết tích của chúng là 9120

Answers

Câu trả lời

Số một = 95

Số hai = 96

Giải thích

Số một = x

Số hai = x + 1

x * (x + 1) = 9120

x ^ 2 + x - 9120 = 0

 

(x + 96) (x - 95) = 0

x = 95 (-96 không có câu trả lời)

Số một = 95

Số hai = 96

(Xin lỗi nếu văn bản xấu, tôi đang sử dụng công cụ dịch thuật)

Can someone please explain the answers?

Answers

Answer:

3. Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics: One to five roots. Zero to four extrema.

4. x = -5 or x = 0 or x = 5

Step-by-step explanation:

Solve for x:

6 x^5 - 150 x^3 = 0

The left hand side factors into a product with four terms:

6 x^3 (x - 5) (x + 5) = 0

Divide both sides by 6:

x^3 (x - 5) (x + 5) = 0

Split into three equations:

x - 5 = 0 or x^3 = 0 or x + 5 = 0

Add 5 to both sides:

x = 5 or x^3 = 0 or x + 5 = 0

Taking cube roots gives 0 times the third roots of unity:

x = 5 or x = 0 or x = 0 or x = 0 or x + 5 = 0

Subtract 5 from both sides:

x = 5 or x = 0 or x = 0 or x = 0 or x = -5

There are {2} duplicate solutions:

Answer: x = -5 or x = 0 or x = 5

Write an expression for two times the difference of eight and d.

Answers

Answer:

The answer is

2( 8 - d)

Step-by-step explanation:

From the question difference in the statement means subtraction

So the statement

two times the difference of eight and d is written as

2( 8 - d)

Hope this helps you

Answer:

the answer is 2( 8 - d) I  got the same answer and got it right

Step-by-step explanation:

an obtuse angle is an angle which is _______

Answers

Answer:

an obtuse angle is an angle that is more than 90 degrees

Step-by-step explanation:

Which graph shows a linear function?

Answers

Answer:

the bottom

Step-by-step explanation:

Answer: the second one

Step-by-step explanation:

solve the equation
x/3+y/4=4

Answers

Answer:     [tex]y=-\dfrac{4}{3}x+16[/tex]

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]

the tripled product of 12 and a number is 102. what is the number​

Answers

Answer:

Step-by-step explanation:

Let

The known number = 12

The unknown number = x

Result = 102

Product of 12 and a number= 12*x

= 12x

Tripled product of 12x= 3(12x)

=36x

36x = 102

Divide both sides by 36

x = 102/36

= 2.833

x=2.833

Can someone help me on this ASAP it’s very tricky

Answers

Well the two equations are in y=mx+b form, also known as slope-intercept form.

The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...

When X = 0...

First equation: Y=7

Second Equation: Y=-6

On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.

So the second point is (6,-1).

FIRST EQUATION ONLY: Plot (0,7), (6,-1)

For the second I wont be elaborate as much but its (0,-6), (3,-10)

Brainiest/Heart if helpful!

Answer:

(-6, 2)

Step-by-step explanation:

When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.

When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.

The answer is the point they intersect, or cross. That would be (-6, 2).

I hope this helps!

pls ❤ and mark brainliest pls!

A spinner contains 3 equal sections: one red, one yellow, and one blue. The possible results of two spins are shown in the tree diagram below. What is P(red, then yellow)?

Answers

1/9

3 x 3 = 9 (since it is spun twice)

1/9

----------------------------------------------------------------------------

Answer:

1/9

Step-by-step explanation:

Probability of spinning a red =  1/3

Probability of spinning a yellow = 1/3

So Probability of getting red and then yellow = 1/3 x 1/3 = 1/9

Hello, a quick question which number is least to greatest 0.359, 0.35, 1

Answers

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.359 = 359 thousandths

0.35 = 0.350 = 350 thousandths

1 = 1.000 = 1000 thousandths

Since 350 < 359 < 1000, then from least to greatest you get

0.35, 0.359, 1

Need help pleases 5 stars

Answers

Answer:

The third option is the correct answer

Step-by-step explanation:

I am a 100% sure.

Hope this helps....

Have a nice day!!!!

What is the length of LM? (Question and answer choices provided in picture.)

Answers

Answer:

24√3

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

Step 1: Use cos∅

cos30° = LM/48

Step 2: Multiply both sides by 48

48cos30° = LM

Step 3: Evaluate

LM = 24√3

Answer:

[tex]\large \boxed{24 \sqrt{3} }[/tex]

Step-by-step explanation:

The triangles are right triangles. We can use trig functions to solve.

cos θ  = adj/hyp

Take the triangle KLM.

cos 30 = LM/KL

cos 30 = LM/48

Multipy both sides by 48

(48) cos 30 = LM/48 (48)

Simplify.

48 cos30 = LM

24√3 = LM

Determine if the ordered pair (6, 4) is a solution to the inequality

Answers

Answer:

[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)

Answers

Answer:

  B)  (-2, 5)

Step-by-step explanation:

Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.

Trying the points

  A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14

  B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true

  C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14

  D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2

__

Choice B ( -2, 5) is the only point that works in both equations.

Answer:

x = -2

y = 5

then:

B) (-2,5)

Step-by-step explanation:

3x + 4y = 14

x = 2y - 12

from te firs equation:

3x = 14 - 4y

x = (14-4y)/3

then:

2y - 12 = (14-4y)/3

3(2y-12) = 14 - 4y

3*2y + 3*-12 = 14 - 4y

6y - 36 = -4y + 14

6y + 4y = 14 + 36

10y = 50

y = 50/10

y = 5

from the second equation:

x = 2y - 12

x = 2*5 - 12

x = 10 - 12

x = -2

Check:

from the first equatión:

3x + 4y = 14

3*-2 + 4*5 = 14

-6 + 20 = 14

Anybody good in pre Calculus and know how to do #3 or #4?

Answers

Answer:

3. 0

4. n = -2

Step-by-step explanation:

I haven't taken pre-calc but this looks a lot like algebra.

For #3, just plug in -2 for the x values, so:

x^2 + 4x +4

(-2)^2 + 4(-2) + 4

= 4 - 8 + 4

= 0

For #4, move the variables to one side and solve( im not sure what the pi is for tho, or is that a n?):

5n + 6 = -3n - 10

add 3n to both sides

8n + 6 = -10

subtract 6 from both sides

8n = -16

divide both sides by 8

n = -2

Can you help me solve this problem & write my answer in simplest radical form.

Answers

Answer:

18

Step-by-step explanation:

30-60-90 triangles have a set of x values that you can plug your numbers into.

we know that the side length opposite to 30 is x

the side length opposite to 60 is xsqrt3

the side length opposite to 90 is 2x

from this we can gather that y=2x where x=9 therefore y=18

What are the solutions to the quadratic equation 4x2 = 64? A. x = −16 and x = 16 B.x = −8 and x = 8 C.x = −4 and x = 4 D.x = −2 and x = 2

Answers

Answer:

x = ±4

Step-by-step explanation:

4x^2 = 64

Divide each by 4

4x^2 /4= 64/4

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

Answer:

[tex]\boxed{\boxed{x=\pm 4}}[/tex]

Step-by-step explanation:

[tex]4x^2 = 64[/tex]

Divide both sides by 4.

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

Simplify.

[tex]x^2 =16[/tex]

Take the square root on both sides.

[tex]\sqrt{x^2 } =\pm \sqrt{16}[/tex]

Simplify.

[tex]x=\pm 4[/tex]

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