A sphere used in a contest has a
diameter of 9 feet. What is the
volume of the sphere?

Answers

Answer 1

Answer:

382 ft³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{ 3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Rdaius of sphere

= 9 ÷2

= 4.5 ft

Volume of sphere

[tex] = \frac{4}{3} (\pi)(4.5)^{3} [/tex]

= 382 ft³ (3 s.f.)


Related Questions

Write an equation if the line that passes through (0,-2) and (2,2)

Answers

Answer:

[tex]y=2x-2[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (0,-2) and (2,2)

[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=2(2)+b\\2=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]2-4=4+b-4\\-2=b[/tex]

Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]

[tex]y=2x-2[/tex]

I hope this helps!

Gold chain with an original price of $120 is on sale for $96 what is the percent of the discount

Answers

Answer:

20% off

Step-by-step explanation:

96/120 = 80% price still, so 20% off.

Tell whether the angles are adjacent or vertical. Then find the value of x.

1270
O vertical; 127
O adjacent; 127
O adjacent: 53
O vertical: 53

Answers

Adjacent : 53. Is the answer

please help ill give brainlest or whatever omg

Answers

Answer:

Step-by-step explanation:

Hi,

I cannot see the options but for vertical compression you need to have values of a that are 0<a<1, then the graph will be compressed.

For example, if we have g(x)= 1/2 x^2 will be compressed by factor of 1/2.

HELPPPPPPP PLEASE HELPPPPPPPPPPPPP IM BEGGING SOMEONE PLEASE HELP

Answers

180-55= 125 bc the whole is 180 just subtry

4(x-11)=19 solve for x

Answers

Answer:

x = 63/4  or 15 3/4

Step-by-step explanation:

4(x-11)=19

Distribute

4x -44 =  19

Add 44 to each side

4x-44+44 = 19+44

4x = 63

Divide by 4

4x/4 = 63/4

x =15 3/4

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]4(x - 11) = 19 \\ 4x - 44 = 19 \\ 4x = 19 + 44 \\ 4x = 63 \\ x = \frac{63}{4} \\ x = 15.75[/tex]

The value of x is 63/4 (in fraction form) OR 15.75 (in decimal form).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Find the ratio of the areas of two circles with radii 4 and 12

Answers

Answer:

1:9

Step-by-step explanation:

~Refer to the attachment for the solution.

How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.

Answers

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]

The graph would move f(x) five units up.

Hope this helps.

The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive?
(Write the explanation and answer)

Answers

Each young person received 200 circulars.

3,000/15= 200

Find the area of a triangle with the following measures:

B-12 inches

H-5 inches

Answers

The area would 30 in^2
Reason:
Area of a triangle =1/2 bh
Area= 1/2 (12)(5)
Area =(6)(5) (because a half times 12 =6)
Therefore Area =30 in^2
Hopefully that helps, if not I apologize

Someone please help :0

Answers

Answer:

m < -18/19

Step-by-step explanation:

8m + 95 < -87 m +5

Add 87m to each side

8m+87m + 95 < -87 m+87m +5

95m + 95 < 5

Subtract 95 from each side

95m + 95-95 <  5-95

95m < -90

Divide each side by 95

95m/95 < -90/95

m < -18/19

Answer:

Step-by-step explanation:

8m +95 < -87m +5

8m +87m < 5-95

95m < -90

m < -90/95

m < -18/ 19

the average of nine number is 16. the average of 4 of these number is 11. what is the average of the other five number ?​

Answers

Answer:

11

Step-by-step explanation:

We know formula to find average is,

Average=  

Numberofnumbers

Sumofnumbers

​  

 

Since the average of 10, so the sum of numbers is 5×10=50

As the fifth number is given 6, so rest 4 numbers will be = 50−6=44

Average of first four numbers will be Average=  

4

44

​  

=11

1. Una empresa pagó S/. 72 180 por un lote de 36 laptops y S/. 101 220 por un lote de 84 impresoras. ¿Cuál es el precio por unidad de cada producto?

Answers

Answer:

Step-by-step explanation:

A company paid S /. 72 180 for a batch of 36 laptops and S /. 101 220 for a batch of 84 printers. What is the price per unit of each product?

For Laptops

72 180/36

= 2005

For Printers

101 220/84

= 1205

Please help with this question!!
I will give BRAINIEST to whoever gives the best answer

Answers

Answer:

C.155

Step-by-step explanation:

CALCULATE IT ITS MA ANSWER

Write an explicit formula for AN, the NTH term of the sequence 2, 4, 6

Answers

Answer:

2n.

Step-by-step explanation:

This an arithmetic sequence with a1 = 2 and d = 2

an = a1 + d(n - 1)

= 2 + 2(n - 1)

= 2n + 2 - 2

= 2n.

Helpppppppppppppppppppp

Answers

Answer:

930 in^2

Step-by-step explanation:

Area of a parallelogram is Base x Height.

so, 30 x 31 = 930.

Answer: 930 in ^2

Step-by-step explanation:

Area is width x height.

Width = 30

Height = 31

30x31 = 930

PLZ HELPPPPPPPPPPPPPP​

Answers

Answer:

i believe it is a if not im sorry

Step-by-step explanation:


3(3a + 4b) + 4(2a - 5b) please answer quick​

Answers

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

formula of simple interest​

Answers

Answer:

I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.

mr.lewis shared 3/4 of a loaf of bread equally aming her children what fraction of the whole loaf would 4 of her children recieve in total

Answers

Answer:

3/16 or in decimal 0.1875

Step-by-step explanation:

Find the value of x. Please help

Answers

Answer:

64

Step-by-step explanation:

height of the hypotenuse:

[tex]\sqrt{60^2-36^2} = \sqrt{3600 - 1296} = \sqrt{2304} = 48[/tex]

36 : height = height : x

36 : 48 = 48 : x

x= 48^2/36 = 64

Answer:

X = 64

Step-by-step explanation:

Pythagoras Theorem

Similar Shapes

Harry has three quarters of a dollar in coins if he only has 5 coins write the value of each coin to show the 5 coins harry has.
help

Answers

Answer

$1.25

Step-by-step explanation:

well a quarter is 25 and 4 of them is $1.00 plus 25 = $1.25 cents

Prove the identity
1. cot²x= csc²x-1

2. sin x tan x= sec x - cos x

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

Approximate the length of the hypotenuse of the right triangle to the nearest tenth of a unit.

Answers

Answer:

Assuming each box = 1 unit, the answer is 7.2

Step-by-step explanation:

Please help and fast!!!!

( i accidently clicked an answer)

Answers

Answer:

16,734.06 ft2

Step-by-step explanation:

A = 2pir

A = 2 x pi x 73

A = 16741.5 ft2

Round 45.628 to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

45.6

Given the following quadratic function what’s the value of a, B, and C?

f(x)= 3x^2 - 5x -12

Answers

Answer:

Below.

Step-by-step explanation:

a = 3, b = -5 and c = -12.

The first number in a pattern is 8. Each following number is found by subtracting 9 from the previous
number
What is the fifth number in the pattern?

Answers

Answer:

8,-1,-9,-18,-27,-36

and so on i would think it would be -27

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

other answer off by one

The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference

Answers

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

[tex]\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6[/tex]

Therefore, the common difference is 6.

Identify the equation of the circle X that passes through (-3, -5) and has center (4, -7).

Answers

( x - 4 )^2 + ( y + 7 )^2 = 53

...................................................

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