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.
Hello! :)
Find the derivative using the quotient rule:
In this instance:
Use the following properties to find the derivative of f(x) and g(x):
Use the quotient rule:
Simplify the numerator:
Factor out 
Factor out -1 from the numerator:
And we're done! Thanks for posting the question to my 1000th answer!
Perimeter = length + length + width + width
P= (x + 2) + (x + 2) + x + x
P = x + 2 + x + 2 x + x
P= 4x + 4
Some teachers then want you to pull out the common factor of 4. If yours does, it’s P = 4(x + 1)
How I Was Taught You Do Foil F-First O-Outer I-Inner L-Last So You Would Multiply First Number With The Other First Number Which Is The 4b×4b=16b² Then You Solve The Outer 4b+1 Then The Inner -1+4b & The Last -1+1
~Hope This Helps
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
