Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0
5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
7x = 7
x = 1
Answer:
height is = 3/2 ft
Step-by-step explanation:
a cones volume can be represented by 1/3(h)(pi)(r^2)
we must go backwards to find this question out
if the diameter is 2/3 then the radius is 1/3
then you must square that
that is 1/3 * 1/3 which is 1/9
1/9(1/3)(pi)(h) is 1/18(pi)
we can remove pi from both sides and multiply the 1/9 and the 1/3
1/27(h) = 1/18
we must find the lcm or least common multiple to figure this out
the lcm is 54
1/27 is essentially 2/54 and 1/18 is 3/54
2/54(h) = 3/54
we can multiply each side by 54
2h = 3
divide 2 on both sides
h is 3/2
8:40 to 12:00
6:30 to 9:20
5:50 to 8:10
like to buy the smallest number of hot dog buns and hot dogs so that he will have
exactly one hot dog per bun.
Part A
How many packages of buns and hot dogs must he buy? Show your work and explain
your thinking.
Answer:
4 packages of hot dogs and 5 packages of hot dog buns.
Step-by-step explanation:
Find the least common multiple of 10 and 8, which is 40.