Answer:
Step-by-step explanation:
So, the function, P(t), represents the number of cells after t hours.
This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.
C)
So, we are given that the quadratic curve of the trend is the function:
To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:
Expand:
Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:
Differentiate. Use the power rule:
Simplify:
So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:
Multiply:
Subtract:
This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.
And we're done!
Answer:
<em>Fraction form=31/8 Decimal form=3.875 </em>
Step-by-step explanation:
<em>Convert the mixed numbers to improper fractions, then find the Least common denominator and combine</em>
Answer:
4 quarters
4 nickels
Step-by-step explanation:
Expanded form is like this 300 plus 20 plus 7 plus .40 plus .6
A. They both ate the same because 170.10 is equal to 170.1