Answer:
The average rate of change over the interval is 120
Step-by-step explanation:
For a function f(x) the average rate of change over an interval [a,b] is given as;
f(b)-f(a)/b-a
in this case, a is 2 and b is 4
f(b) is 256 and f(a) is 16
Substituting these values in the equation for rate of change, we have;
(256-16)/(4-2) = 240/2 = 120
Volume=4/3 pi r^3. so 4/3 pi r^3 = 500/3 pi. Therefore, divide by pi, and multiply by 3, you get 4r^3=500. Divide by 4 to get r^3=125, and cube root to result in 25. r=25.
Answer:
galaxies.
Step-by-step explanation:
There are about
stars in the universe.
The Milky Way galaxy
stars.
All we need to do to find the number of galaxies is to divide the total number of stars in the universe by the number of stars in the Milky Way:
Number of galaxies = (Number of stars in the universe) / (Number of stars in the Milky Way)
Number of galaxies = 
N = 
N = 
The number of galaxies in the universe is approximately
.
Answer:
34'2" I think
Step-by-step explanation:
You just add them together and that was for the first part
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>g</span><span>f</span><span></span></span>)</span>(x)=<span><span><span>4−5x</span></span><span><span>3x+2</span></span><span></span></span></span></span>