What is the approximate volume of a sphere with a radius of 9 in.? Use 3.14 to approximate pi and express your answer in hundredths.

Answers

Answer 1

Answer: 3052.08 inches cubed

Volume of a sphere: $V= (4)/(3) \pi r^(3)$
So, $V= (4)/(3) (3.14) 9^(3)$
$V= (4)/(3) (3.14) 9^(3) =3052.08$

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Can anybody help me with this question?

Answers

For number 16 we need to write the data as a ratio then convert to a unit rate (amount per 1)...

308/14 = x/1

Cross multiply

14x = 308
x = 308/14
x = 22

So the fuel efficiency is
22 miles per 1 gallon or

22/1

For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...

288 miles ÷ 48 mph =

6 hours

If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

Answers

Answer:

$g(x)=x+1$

The problem:

Find $g(x)$ if $h(x)=(f \circ g)(x)$ ,

$h(x)=\sqrt[3]{x+3}$ , and

$f(x)=\sqrt[3]{x+2}$ .

Step-by-step explanation:

$h(x)=(f \circ g)(x)$

$h(x)=f(g(x))$

Replace $x$ in $f(x)=\sqrt[3]{x+2}$ with $g(x)$ since we are asked to find $f(g(x))$ :

$\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}$

$\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}$

This implies that $x+1=g(x)$

Let's check:

$(f \circ g)(x)$

$f(g(x))$

$f(x+1)$

$\sqrt[3]{(x+1)+2}$

$\sqrt[3]{x+1+2}$

$\sqrt[3]{x+3}$ which is the required result for $h(x)$ .

How do you write 900 in expanded form

Answers

well its
900+0+0
basically
like if it was
9,234
then it would be
9000+200+30+4

900+0+0 that is the answer to this question

THIS IS FOR 18 POINTS!!!Ethan bought 3 new baseballs. Bethany has three times as many baseballs as Ethan now has. Let x=the number of baseballs Ethan had before he bought any new ones. Together they now have 44 baseballs.
A. Write an equation to represent the equation.
B. How many did Ethan have before he bought any new ones?

Answers

The equation is
(X + 3) + (x + 3 ✖️3)=44
Ethan had 12 baseballs.
Steps:
1. You do 44 dived by 3 which is 14.66 repeating
2. You subtract 3
2. You get 11.66 repeating
3. You round up to 12

4x+12 . (x=8)

Ethan had 8 baseballs before he bought any new ones.

One month, Jon worked 3 hours less than Chaya, and Amgelica worked 4 hours more than Chaya. Together they worked 196 hours. Find the number of hours each person worked.

Answers

Okay lets look at the problem first
so Chaya is our X Value
and we know that the total is 196
lets divide the total by 3
so we have 65.1
lets forget the point one for now
know if each person worked 65 hours this would be over
but we know that Jon Worked 3Hours less then Chaya that would put him at 62
Know we need to put that 3 hours to the side and remember we havnt used it yet
And we know that Amgelica worked 4 more hours then Chaya andwe still have 4 hours left over so that puts her at 69 hours
so Jon (a) worked 62 hours
Amgelica (b)worked 69 hours
and Chaya (c)at 65
a+b+c=196
62+69+65=196
I hope this helped

Evaluate the following expression. 7 × 22 + (8 - 2) ÷ 3