So the equation for the volume of the sphere is
![V= \frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Cpi%20r%5E3)
.
For this, you'll need to plug in 128 pi into the volume placeholder and solve for r.
![128 \pi = \frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=128%20%5Cpi%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Firstly, divide by pi on each side of the equation to cancel out pi. Your equation will look like this:
![128=\frac{4}{3}r^3](https://tex.z-dn.net/?f=128%3D%5Cfrac%7B4%7D%7B3%7Dr%5E3)
Next, you'll want to multiply 3/4 on each side to cancel out 4/3. Your equation will look like this:
![96=r^3](https://tex.z-dn.net/?f=96%3Dr%5E3)
Lastly, you'll want to 3rd root each side of the equation, and your answer should be
![4.58=r](https://tex.z-dn.net/?f=4.58%3Dr)
.
The correct option is B. 4.58
Answer:
B, C, and E
Step-by-step explanation:
<u>Simplify all answer choices:</u>
A.
5(2x+10)+1=
10x+50+1=
10x+51
B.
7(x+2)+3x-3=
7x+14+3x-3=
10x+11
C.
3(3x+4)+x-1=
9x+12+x-1=
10x+11
D.
2(6x+4)+2x+5=
12x+8+2x+5=
14x+13
E.
2(6x+5)-2x+1=
12x+10-2x+1=
10x+11
Answer choices B, C, and E simplify to 10x+11
The correct answer is D, -5 1/3.
The reason is that on a number line -3 1/4 would be placed to the right of -5 1/3.
The further you are to the right on the number line, the bigger the number.
Answer is 18 hours worked
Step by step:
Equation y = mx + b
Our total income (y) is $1305
Our rate (m) is $35
Our y intercept (b) is $75 * 9 home visits
Our unknown hours worked is X
1305 = 35x + (75*9)
1305 = 35x + 675
Subtract 675 from both sides to isolate the variable
1305 - 675 = 35x + 675 - 675
$630 = 35x
Divide both sides by 35 to solve for x
630/35 = 35/35 x
18 = x hours worked
Check your work
Substitute your x value into the equation
1305 = 35x + (75*9)
1305 = 35*18 + (75*9)
1305 = 630 + 675
1305 = 1305
Problem solved!
87 is greater than 13.688 because 87 is bigger than 13