Answer:
Marta's rope is 94"
Step-by-step explanation:
D = dilberts rope length
M = marta's rope length
Marta's jump rope is 10" shorter than four times the length of Dilbert's rope
M = 4D-10
both their ropes laid together end to end and measured 120" long
M+D = 120
Substitute 4D-10 for M in the second equation
4D-10 + D = 120
Combine like terms
5D-10=120
Add 10 to each side
5D-10+10 =120+10
5D =130
Divide by 5
5D/5 = 130/5
D =26
Now we need to find M
M+D = 120
M +26 = 120
Subtract 26 from each side
M = 120-26
M = 94
Answer:
A. 
Step-by-step explanation:
We have been given that f be a differentiable function such that
,
,
, and
. The function g is differentiable and
for all x.
We know that when one function is inverse of other function, so:

Upon taking derivative of both sides of our equation, we will get:


Plugging
into our equation, we will get:

Since
, then
.

Since we have been given that
, so we will get:


Therefore,
and option A is the correct choice.
Answer:
92087,14873
Step-by-step explanation:
Given that Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened in 1990, the population of Marymount increased by about 20% each year for the first ten years and then increased by 5% each year after that
Let P0 be the population in 1990
Then we have in 2000 the population is

with this initial population for next growth we have in 2010 the population would be
, where P = population is 2000
a) Given that 
b) we use the exponential equation and solve for initial population in 2000.
c) we have

A= -8
B= -24
4*-2= -8
48/-2=-24
Answer:
Step-by-step explanation:
5x30= 150