Answer:
x = 125
Step-by-step explanation:
4 hrs : 200 mi
2.5 hrs : x mi
4/2.5 = 1.6 hrs
200/1.6 = 125 mi
x = 125 mi
Answer:
Step-by-step explanation:
let f(x)=y
y=2x+5
flip x and y
x=2y+5
2y=x-5
y=(x-5)/2
f^{_1}(x)=(x-5)/2
but f^{-1}(x)=1
so (x-5)/2=1
x-5=2
x=2+5=7
Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
Answer:
35
x
6
−
4
7
35x - 4
6 7
Step-by-step explanation:
12 divided by 3 = 4
therefore both sides must be multiplied by 4
3*4 = 12
8*4 = 32
(brainliest would be appreciated)