Answer:
Part 1) The volume of the ball is 256 cm³
Part 2) The radius of the ball is 3.94 cm
Step-by-step explanation:
Part 1) we know that
The density is equal to divide the mass by the volume
D=m/V
Solve for the volume
The volume is equal to divide the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
Part 2) what is the radius of the ball?
we know that
The volume of the sphere (ball) is equal to
![V=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
we have
![V=256\ cm^{3}](https://tex.z-dn.net/?f=V%3D256%5C%20cm%5E%7B3%7D)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute and solve for r
![256=\frac{4}{3}(3.14)r^{3}](https://tex.z-dn.net/?f=256%3D%5Cfrac%7B4%7D%7B3%7D%283.14%29r%5E%7B3%7D)
![768=(12.56)r^{3}](https://tex.z-dn.net/?f=768%3D%2812.56%29r%5E%7B3%7D)
![r^{3}=768/(12.56)](https://tex.z-dn.net/?f=r%5E%7B3%7D%3D768%2F%2812.56%29)
![r=3.94\ cm](https://tex.z-dn.net/?f=r%3D3.94%5C%20cm)
Let's you and me discuss a few things that you already know:
-- What's a y-intercept ?
The y-intercept on a graph is the place where it crosses the y-axis.
-- That's the value of 'x' at the y-intercept ?
The y-intercept is on the y-axis, so 'x' is zero there.
-- Good ! So how would you find the y-intercept of a function ?
You say that x=0 and look at what 'y' is.
-- Very nice. What's the function in this question ?
The function is
f(x) [or 'y'] = x⁴ + 4x³ - 12x² -32x + 64 .
-- Excellent. What's the value oif that function (or 'y') when x=0 ?
It's just 64 .
-- Beautiful.
Are there any answer choices that cross the y-axis at 64 ?
How many are there ?
There's only one.
It's the upper one on the right hand side.
Answer:
The answer is 2
Step-by-step explanation:
3/4÷ 3/8 =
3 × 8 * 4 × 3 =
24/12 =
<u>24 ÷ 12</u>
12 ÷ 12 = 2
Answer:
yeah the answer is (40,10)