Mathematics High School

Use the formula for the volume of a sphere.

Use The Formula For The Volume Of A Sphere.

Answers

Answer 1

Answer:

113.1 cm³

Step-by-step explanation:

we even have the formula. we only need a calculator to simply type this in.

the only "trap" here : we were given the diameter, and for the radius we need to cut that in half.

so,

r = 3

V = 4/3 × pi × r³ = 4/3 × pi × 3³ = 4/3 × pi × 27 =

= 4 × pi × 9 = 113.1 cm³

Related Questions

Jacob has 96 books to stick on library shelves. Each shelf can hold 9 books. How many shelves will he need to stack all the books?

Answers

Answer:

11 shelves

Step-by-step explanation:

Find the x-intercept and y-intercept of the line.
4x+5y= -20

Answers

Answer:y-intercept = -20/5  =  -4  x-intercept = -20/4  =  -5

Step-by-step explanation:

Answer:

x- intercept = - 5, y- intercept = - 4

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis.

The y- coordinate of any point on the x- axis is zero

Substitute y = 0 into the equation and solve for x

4x + 5(0) = - 20

4x = - 20 ( divide both sides by 4 )

x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form

The y- intercept is where the line crosses the y- axis

The x- coordinate of any point on the y- axis is zero

Substitute x = 0 into the equation and solve for y

4(0) + 5y = - 20

5y = - 20 ( divide both sides by 5 )

y = - 4 ← y- intercept or (0, - 4 ) in coordinate form

For each expression, select all equivalent expressions from the list.

Answers

Answer:

a) 5x + x AND 6x

b) 5 + 40y

Step-by-step explanation:

Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $11.72 per hour by the store. In the evening she works at a restaurant as a manager for 6 hours and is paid $8.96 per hour. How much does she make on average per hour for the day?

Answers

Answer:

$10.44

Step-by-step explanation:

Day - 7 hours

one hour - $11.72

7 hrs = (7 × $11.72)

Total per day = $82.04

Evening- 6 hours

1 hour- $8.96

6 hours =(6 × $8.96)

= $53.76

Average = total amount of money ÷ total amount of hours worked

= ($82.04 + $53.76) ÷ ( 7 + 6 )

= 135.8 ÷ 13

= $10.44

5(2x + 5y) - 4y + 10x
How can I solve this?

Answers

Answer:

20x+35y

Step-by-step explanation:

5(2x + 5y) - 4y + 10x

distribute

10x + 25y - 4y + 10x

add like terms

20x+21y

I would say 20x -21y

The side panel of a skateboard ramp is a trapezoid as shown.

A. Write an expression to find the amount of wood needed to build the two side panels of a skateboard ramp.

B. How much wood is needed to build to side panels of a skateboard ramp

Answers

Answer:

A. 2•5(7.5+7.5+7.0)

b. -55

What do i have to do?

Answers

Answer:

It is 136

Step-by-step explanation:

[tex]h + {k}^{2} - j[/tex]

substitute respectively as in question:

[tex] = 3 + {(11)}^{2} - ( - 12)[/tex]

open brackets:

[tex] = 3 + 121 + 12 \\ = 136[/tex]

Answer:

136

Step-by-step explanation:

Given

h + k² - j ( substitute the given values into the expression ) , that is

3 + 11² - (- 12)

= 3 + 121 + 12

= 136

2. What value of x makes the equation 4 - 3x = 19 true?

Answers

Answer:

x = -5

Step-by-step explanation:

If you want the value of x and it should be true we first need to find the value of x

4 - 3x = 19

-3x = 19 - 4

-3x = 15

x = 15/-3

x = -5

if your shoe size is out of stock should you size up or down i’m a girl please help

Answers

i go up by like 1/2!!?!
I would go up about 1/2 size, because depending on your age, if your feet grow, then it’ll work out great.

I would assume, I dont think women’s shoes are too different from men’s.

can anyone help me please​

Answers

Answer:

fig.1 No, fig.2

Step-by-step explanation:

fig.1 is no because "a" has more than one output therefore it's not a function.

fig. 2 is yes because "a,b,c,d" have different outputs but not more than one

try the rest by yourself. have a good day and remember don't get stressed over the little things

Simplify 4n5 + 3.5n5 + (-2.1n5).

4.4 n5
5.4 n5
20 n5
6.4 n5

Answers

Answer:

[tex]4 {n}^{5} + 3.5 {n}^{5} + ( - 2.1 {n}^{5} )[/tex]

first create a bracket:

[tex] = ( {4n}^{5} + 3.5 {n}^{5} ) + ( - 2.1 {n}^{5} )[/tex]

then solve the first bracket:

[tex] = {7.5 {n}^{5} } + ( - 2.1 {n}^{5} )[/tex]

then open the remaining bracket:

[tex] = {7.5n}^{5} - {2.1n}^{5} [/tex]

carryout the subtraction operation:

[tex] = (7.5 - 2.1) {n}^{5} \\ { \boxed{ = {5.4n}^{5} }}[/tex]

Answer:

5.4n to the fifth power

Step-by-step explanation:

help! i need this turned in quick because it's late!!

Answers

The Process with answer. Hope it helps

round 32,072 to the nearest ten thousands

Answers

Answer:

32,072.0000

Step-by-step explanation:

I think 30000 is the answer

can somebody help me please with my Economics

Answers

Answer:

Yes of course I will help you

two numbers have a product of 12 but their sum is-7 what are the numbers

Answers

Answer:

-4 and -3

Step-by-step explanation:

-4*-3 is 12 (negative * negative = positive)

-4+-3=-7

solve the equation
6.5=-3+n

Answers

6.5 = -3 + n

Add 3 to both sides:

9.5 = n

Answer: n = 9.5

PLEASE HELP ME!!
I'm confused on this question and some other graph questions in my homework.
Please check my questions and answer them of you can
Thank You​

Answers

It’s 18. 1/2 b*h b=4 h=9

А football player shoot to score When he is 12m from one goal post and 6m from the other. If the goal posts are 7m apart, within what angle must a ground Shoot be made to score​

Answers

Answer:

24.54°

Step-by-step explanation:

The three segments make a triangle with sides 6, 7 and 12 m.

We need to find the angle opposite to side 7 m.

Use the low of cosines to work out the angle x:

cos x = (6² + 12² - 7²)/(2*6*12)cos x = 0.9097x = arccos (0.9097)x = 24.54° (rounded)

whicth inequality is true for X=20

Answers

Answer:

x+30 <3x

x divided by 4 < x - 12

2x < x + 22

if x is a rational number and y=2/3, which statement describess the sum of x and y?

Answers

Answer:

The answer is: The sum of x and y is a rational number.

Step-by-step explanation:

x is a rational number (any).

[tex]\frac{2}{3}[/tex] is a rational number too.

So, the sum of x and y will also be a rational number.

Where is the blue dot on the number line?
-1.05
-1.1
-1.15

Answers

Answer:

-1.13

Step-by-step explanation:

Each space or unit in the number line is equidistant to 0.01.

Answer:

-1.13

Step-by-step explanation:

you can count the units from -1.1 and you will find out this

its the correct answer

You can even add 2 units from -1.1

-1.1 can also be written as -1.11

so -1.11 + 2

= -1.13

find the range of possible values for x

Answers

[tex]\\ \rm\longmapsto x-5=41[/tex]

[tex]\\ \rm\longmapsto x=41+5[/tex]

[tex]\\ \rm\longmapsto x=46[/tex]

Hence

[tex]\\ \rm\longmapsto 45<x<47[/tex]

which expressions are equivalent to (5g+3h+4) . 2

Answers

Answer:

2(5g+3h+4)

10g+6h+8

Please that is the answer

What is 150% of 2/3km

Answers

Answer:

150% of 2/3 km

150/100 * 2/3

50/50

= 1 km

What is the length of the line?
Please explain in depth and I will give Brainliest​

Answers

Answer:

Step-by-step explanation:

picture will show you all the explaination

Solve for p in terms of q,r,s and t

Answers

Answer:

is there by chance a photo reference?

v/6 > 11
solve for the inequallity
please will mark brainliest

Answers

Hi ;-)

[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]

6x-2+9y-3y-3x
Help anyone?

Answers

Step-by-step explanation:

6x-2+9y-3y-3x

6x-3x-2+9y-3y

3x-2+6y

Therefore its 3x-2+6y.

Two dice are rolled. A = ‘sum of two dice equals 3’ B=‘sumoftwodiceequals7’ C=‘at
least one of the dice shows a 1’ (a) What is P (A|C)?
(b) What is P (B|C)?
(c) Are A and C independent? What about B and C?

Answers

Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.

We have

• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)

• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)

(a) By definition of conditional probability,

P(A | C) = P(A and C) / P(C)

A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately

P(A and C) = P(A)

so that

P(A | C) = (1/18) / (1/3) = 3/18 = 1/6

(b) From the definition,

P(B | C) = P(B and C) / P(C)

By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so

P(B and C) = (2/36) / (1/3) = 6/36 = 1/6

(c) In order for two events X and Y to be independent, we need to have

P(X and Y) = P(X) P(Y)

or in terms of conditional probability,

P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)

Then it follows that A and C are not independent, while B and C are independent.

In San Diego the average cost of gas is $4.15 per gallon. If a car has a fuel efficiency of 24 miles per gallon and the owner of this car travels approximately 150 miles per week. How much money is this person spending on gas per week? Show work

Answers

Answer:

$25.94

Step-by-step explanation:

150 ÷ 24 = 6.25

6.25 × 4.15 = 25.9375

25.94

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