Answer:
A. 20
Step-by-step explanation:
- First we need find X.
- x = 7 (because we see question). f(g(7))
- Now we find g(x) = x - 3 => g(x) = 7 - 3
- Next we find f(x) = x² + x . We have f(4)
- f(4) = 4² + 4
- = 20
Answer:
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder
Step-by-step explanation:
Here we have the volume of a cylinder given by
Volume of a cylinder = πr²h
Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have
Height of bottom of is then
Height = h - b
Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)
Volume of bottom of cylinder = π·r²·h - π·r²b
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.
Answer:
Let v = no. of students in a van
b = no. of students in a bus
5v + 6b = 393 7v + 6b = 411
9 students in each van 58 students in each bus
Step-by-step explanation:
Let v = no. of students in a van
b = no. of students in a bus
School A School B
(1) 5v + 6b = 393 (2) 7v + 6b = 411
Change all the signs in (1) to get -5v - 6b = -393
Add that to (2) 7v + 6b = 411
<u>-5v - 6b = -393</u>
2v = 18
v = 9 students in each van
Substitute 9 in for v in (1) and we get 5(9) + 6b = 393
45 + 6b = 393
6b = 348
b = 58 students in each bus
Answer:
-2^(x-2)
Step-by-step explanation:
Using differential calculus:
We know that the integral of 1/x = ln(x)
or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)
