What is the volume of a sphere with a diameter of 32.5 m, rounded to
the nearest tenth of a cubic meter? (PLEASE ROUND)

Answers

Answer 1

Answer:

Step-by-step explanation:

Givens: d = 32.5 m

Formula: V = 4/3 pi r^3

Solution

r = d/2

r = 32.5/2

r = 16.25

V = 4/3 * 3.14 * (16.25)^3

V = 17965.05   to the nearest tenth is

V = 17965.1  

Answer 2

Answer:

≈17974.2 m

Step-by-step explanation:

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{32.5}{2}=16.25

radius=

2

diameter

=

2

32.5

=16.25

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (16.25)^3

3

4

π(16.25)

3

17974.1642186

17974.1642186

Use calculator

\approx 17974.2\text{ m}^3

≈17974.2 m

3

Round to the nearest tenth


Related Questions

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

Answers

Answer:

where's the problem at like the work sheet?

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?

Answers

Answer:

8

Step-by-step explanation:

Given that:

Number of white balloon = 24

Number of maroon Ballon = 32

Number of orange Ballon = 16

To obtain the greatest number of arrangements ;

Find the greatest common factor of 24, 16 and 32

Factors of ;

24 = 1, 2, 4, 6, 8, 12, 24

16 = 1, 2, 4, 8, 16

32 = 1, 2, 4, 8, 16, 32

Hence, the greatest factor common to all three is : 8

Hence greatest number of arrangement that can be achieved is 8

Find the product of (5x+20) and the multiplicative inverse of 5.

Answers

Answer:x

+

4

Explanation:

Product is the answer to a multiplication.

The multiplicative inverse is the same as the reciprocal.

(

5

x

+

20

)

×

1

5

=

5

x

+

20

5

=

x

+

4

Step-by-step explanation:

Answer:

x+4

Step-by-step explanation:

This is because the multiplicative inverse of 5 is the reciprocal, or 1/5. This is then multiplied (distribution) to (5x+20), simplifying to x+4.

Jada's baby brother walked 3 feet, and
then half that length again.

Answers

Answer:

4.5 feet

Step-by-step explanation:

Bob’s soup uses 18 drops of chili oil for every 4 cups of chicken broth. Yvonne wants her soup to have a weaker chili flavor than Bob’s soup. Which mixture should Yvonne use? A 18 drops of chili oil for every 2 cups of chicken broth

B 18 drops of chili oil for every 5 cups of chicken broth

C 20 drops of chili oil for every 4 cups of chicken broth

D 22 drops of chili oil for every 4 cups of chicken broth

Answers

Answer:

Yvonne should pick mixture B which has a lesser concentration of chili oil.

Step-by-step explanation:

Bob's soup concentration = 18 drops / 4 cups = 9 drops / 2 cups = 4.5 drops/cup

A. 18 / 2 = 9 drops/cup which is a greater concentration

B. 18 / 5 = 3.6 drops/cup which is a lesser concentration

C. 20/ 4 = 5 drops/cup which is a greater concentration

D. 22/ 4 = 5.5 drops/cup which is a greater concentration

Help solve equations by completing the square

Answers

[tex]x^2+10x+22=13\\x^2+10x+22-13=0\\x^2+10x+9=0\\[/tex]

Now completing the square.

[tex](x^2+10x)+9=0\\(x^2+10x+25)+9-25=0\\(x+5)^2-16=0\\(x+5)^2=16[/tex]

(x+5)² = 16 is the rewritten equation... For first question btw.

For the solutions to the equation -

[tex]x+5=\sqrt{16},-\sqrt{16} \\x+5=4,-4\\x=4-5,-4-5\\x=-1,-9[/tex]

x = -1,-9 is the solution, for the second question.

Find the slope of the line that passes through:
(-3,-4) and (7,6)

Answers

m=1 or rise one run one :)))

PLEASE HELP ASAP!!! IF YOU WANT BRAINLIEST DONT ANSWER GIBBERISH AND BE DESCRIPTIVE!!!

Answers

For the first one
Total to fish=8/3
Fish to starfish=3/5
Starfish to total=5/8
starfish to fish=5/3

Answer:

i dont know but i need brainliest can you still do it plz

Step-by-step explanation:

The sale price of every item in a store is 85% of its usual price.

The usual price of a backpack is $30, what is its sale price?
The usual price of a sweatshirt is $18, what is its sale price?
The usual price of a soccer ball is $24.80, what is its sale price?

Answers

Answer:

Sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

Step-by-step explanation:

A). Usual price of a sweat shirt is = $18

Sale price of the sweat-shirt is 85% of the usual price.

Therefore, Sale price = 85% of $18

=

= $15.30

B). Usual price of a soccer ball is = $24.80

Sale price of the soccer ball is 85% of its usual price.

Therefore, Sale price = 85% of $24.80

=

= $21.08

Therefore, sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

heres the real answer hope it helps :)

A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2) What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)

Answers

Answer:

(0, 2) or C

Step-by-step explanation:

The solution to the system of linear equations is (0,2). The correct option is C.

What is a system of linear equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x) passes through the points at (-3, 0) and (0, 2).

Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).

Therefore, the solution to the system of linear equations is (0,2). The correct option is C.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ15

Help me with math what is 36*36 Help me with math

Answers

Answer:

Step-by-step explanation:

36 times 36 is 1,296

1,296
................

What is a coefficient?

please explain correctly

Answers

Answer:

any of the factors of a product considered in relation to a specific factor especially : a constant factor of a term as distinguished from a variable. 2a : a number that serves as a measure of some property or characteristic (as of a substance, device, or process) coefficient of expansion of a metal. b : measure

Step-by-step explanation:

Answer:

in math it is this:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).

in physics it is this:

a multiplier or factor that measures some property

Step-by-step explanation:

At a concession stand, seven hot dogs and two hamburgers cost 14.50, two hot dogs and seven hamburgers cost 17.00. Find the cost of one hot dog and the cost of one hamburger

Answers

Given:

Seven hot dogs and two hamburgers cost 14.50

Two hot dogs and seven hamburgers cost 17.00.

To find:

The cost of one hot dog and the cost of one hamburger.

Solution:

Let the cost of one hot dog be x and the cost of one hamburger be y.

According to the question,

[tex]7x+2y=14.50[/tex]       ...(i)

[tex]2x+7y=17.00[/tex]       ...(ii)

Multiply (i) by 7.

[tex]49x+14y=101.5[/tex]       ...(iii)

Multiply (ii) by 2.

[tex]4x+14y=34.00[/tex]       ...(iv)

Subtract (iv) from (iii).

[tex]49x-4x=101.5-34[/tex]  

[tex]45x=67.5[/tex]  

Divide both sides by 45.

[tex]x=1.5[/tex]  

Put x=1.5 in (i).

[tex]7(1.5)+2y=14.50[/tex]

[tex]10.50+2y=14.50[/tex]

[tex]2y=14.50-10.50[/tex]

[tex]2y=4[/tex]

Divide both sides by 2.

[tex]y=2[/tex]

Therefore, the cost of one hot dog is 1.5 and the cost of one hamburger is 2.

Answer:

the other person is correct

Step-by-step explanation:

i put in the answers and it’s correct

Which term best describes HF?

Answers

Answer:

angle bisector

Step-by-step explanation:

because you are given the two angles that both measure 35

Peter scored a total 44 points on 9 math quizzes. What score does Peter need on his tenth and final quiz in order to have a final quiz average of 5 ?

Answers

Answer:

Number of points need = 6 points

Step-by-step explanation:

Given:

New average = 5

Points peter has = 44

Total quiz play = 9

Find:

Points required for average of 5

Computation:

Total number of match = 9 + 1

Total number of match = 10

Average points = 5

Assume;

Number of points need = x

So,

Average points = [Total points] / Total number of match

5 = [44+x] / 10

50 = 44 + x

x = 6

Number of points need = 6 points

The score does Peter needs on his tenth and final quiz in order to have a final quiz average of 5 is 6 and this can be determined by using the formula of average.

Given :

Peter scored a total of 44 points on 9 math quizzes.

The following steps can be used in order to determine the score of the tenth quiz:

Step 1 - The formula of average can be used in order to determine the score of the tenth quiz.

Step 2 - According to the given data, Peter scored a total of 44 points on 9 math quizzes. Now, let the score of the final tenth quiz be 'x'.

Step 3 - The average of the 10 quizzes is given by:

[tex]\dfrac{44 + x }{10}=5[/tex]

Step 4 - Simplify the above expression in order to determine the value of 'x'.

50 = 44 + x

x = 6

For more information, refer to the link given below:

https://brainly.com/question/15385899

I need help on. This pls

Answers

Answer:

Your equation is y= 1/3x + 2

and your first point is (3,3) Hope this helps

Step-by-step explanation:

x-3y=-6

-x       -x

-3y=-x-6

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

      -3

y= 1/3x + 2

Answer:

y=1/3x+2 is your equation in slope intercept form

Step-by-step explanation:

on will be at (0,2) and the other would be at (3,3) then your next one would be  (6,4)

Given the sample triangle below and the conditions csc B = 10, b = 0.5, find the hypotenuse of the triangle.



5

10

20

Answers

Answer:

hey! i dont recommend putting that much points into one question, it lowers your point value meanig, you cant answer more questions than you usually can

Step-by-step explanation:

I need help on this question ASAP give you 20 points

Answers

Answer:

213mi^2

Step-by-step explanation:

Find m∠MON
I have a hard time with theses

Answers

Answer:

m∠MON = 15°

Step-by-step explanation:

The given parameters are;

m∠LON = 77°

m∠LOM = 9·x + 44°

m∠MON = 6·x + 3°

By angle addition postulate, we have;

m∠LON = m∠LOM + m∠MON

Therefore, by substituting the known values, we have;

∴ 77° = 9·x + 44° + 6·x + 3°

77° = 9·x + 44° + 6·x + 3° = 15·x + 47°

77° = 15·x + 47°

77° - 47° = 15·x

15·x = 77° - 47° = 30°

15·x = 30°

x = 30°/15 = 2°

x = 2°

Given that m∠MON = 6·x + 3° and x = 2°, we have;

m∠MON = 6 × 2° + 3° = 12° + 3° = 15°

m∠MON = 15°.

Use the table to determine whether the relationship is proportional. If so, write an equation for the relationship. Tell what each variable you used represents.

HELP I ALREADY PUT THREE QUESTIONS ABT THIS NONE GOT ANSWERED

Answers

Answer:

3 is not 4 is proportional

Step-by-step explanation:

show and explain ur work pls​

Answers

Answer:

X^2 - 3

Is the answer

Step-by-step explanation:

Use a^2 - b^2 = ( a - b) (a + b)

a = x

b =

[tex]b = \sqrt{3} [/tex]

what is the perpendicular slope intercept form for this plss help!!​

Answers

Anything with -4x in the answer should work

Fill in the blacks please! Due in 15 mins!

Answers

Answer:

The numbers in bold are the blanks.

Step-by-step explanation:

7/5 + 3/8 = 56/40 + 15/40 = 71/40

Answer:

1 31/40 or

71/40

Step-by-step explanation:

7/5+3/8=56/40+15/40=71/40=1 31/40

A blockbuster movie makes about $352,000,000 in the United States during its
opening weekend. That same weekend another movie opens but only makes
about $4,800,000
Write each dollar amount in a scientific notation

Answers

Answer:

$3.77 * 10^7

Step-by-step explanation:

$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7

Answer:

3.52×10^84.8×10^6

Step-by-step explanation:

Converting numbers into scientific notation:

$352,000,000 = 3.52×10^8$4,800,000 = 4.8×10^6

PARTA
Acar travels 30 miles in of an hour. What is the average speed, in miles per hour, of the car?
1 2
5
3
Enter your answer in the box below.
miles per hour
1
2
3
71
4
5
6
7
8
9

Answers

The speed of car is 45.3 miles per hour.

Further explanation:

Speed is the rate at which an object changes position with respect to time.

Given

The formula for calculating speed is:

The speed of car is 45.3 miles per hour.

Keywords: Speed, distance

Learn more about speed at:

brainly.com/question/12896802

brainly.com/question/13063819

#LearnwithBrainly


ANSWER QUICKLY..

You have $90 and your brother has $120. You are saving $18 per week
and your brother is saving $15 per week. How many weeks will it take for
you and your brother to have the same amount of money saved? *
10 weeks
1 week
5 weeks
12 weeks

Answers

Answer:

10 weeks

Step-by-step explanation:

Let's set an equation for you and your brother.

You have $90 plus $18 for every week you save (x).

90+18x

And your brother has $120 plus $15 dollars per week that he saves (x)

120+15x

You want to have the sum of the money equal so combine the two concluded statements

90+18x=120+15x

Arrange them so that you have like terms on each side

90+18x-15x=12+15x-15x

90+3x=120

90-90+3x=120-90

3x=30

x=10

"x" is our number of weeks you and your brother save so the answer is 10 weeks

Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.

What is the solution to the equation 4(2-x)=5x-17

Answers

Answer:

x = 25/9 or 2.777777778

Step-by-step explanation:

4(2-x) = 5x - 17

8 - 4x = 5x - 17

   +4x   +4x

8 = 9x - 17

+17      +17

25 = 9x

25/9 = x

x = 2.777777778 or 25/9

2x - 3-4(2x - 3) = 17 - 7x​

Answers

Answer:

x=8

Step-by-step explanation:

2x-3-4(2x-3)=17-7x

2x-3-8x+12=17-7x

-6x+9=17-7x

x= 8

Given f(x) = 5(x + 1) + 16 , what is the value of x when f(x) = 1 ?

Answers

Answer:

x = -4

Step-by-step explanation:

1=5(x+1)+16

1=(5)(x)+(5)(1)+16 (Distribute)

1=5x+5+16

1=(5x)+(5+16)(Combine Like Terms)

1=5x+21

5x+21=1

5x+21−21=1−21

5x=−20

5x/5=−20/5

x=−4

Answer:

value of x is -4

Step-by-step explanation:

All you need to do is replace f(x) for 1.

1 = 5(x+1) + 16

backwards solve;

1 = 5x+5 +16

1=5x+21

1-21=5x

-20=5x

x=-4

That's all.

If it asks you if x=1, then just plug in 1 where ever x is. f(x) is symbolic of y.

3/5x -27 =24 what is x

Answers

Answer:

X = 85

Step-by-step explanation:

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