Answer:
Step-by-step explanation:
You take the negative out of the exponent and move it down to the denominator.
Then, you find the answer to the denominator.
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:
1.) B (Real Numbers)
2.) A
Step-by-step explanation:
Answer:
10,603 cu in
Step-by-step explanation:
For a pipe use its length instead of height: pipe volume = π * radius² * length , where radius = inner diameter/2 . The volume of a pipe is equal to the volume of a liquid inside.
Therefore,
radius = 1 inch ÷ 17 = 5 inch
length = 15 × 5 inches = 75 inches
volume = π (pi) × radius squared × length
volume = 15× (.5 x .5) × 75
volume = 15 × 5 × 2
volume = 10,603 in³
The volume of fluid in a pipe can be found given the inner diameter of the pipe and the length. To estimate pipe volume, use the following formula:
volume = π ×
d2
4
× h
Thus, the volume of a pipe is equal to pi times the pipe diameter d squared over 4, times the length of the pipe h.
This formula is derived from the cylinder volume formula, which can also be used if you know the radius of the pipe.
volume = π × r2 × h
Answer:
150kg
Step-by-step explanation:
divide 500 by ten, multiply that by 3
