Answer:
b = 3w; 54
Step-by-step explanation:
Since the student reads 3 books in one week, we know that one book is three times the amount of weeks, or b = 3w
We can plug in 18 for w to find how many books are read in 18 weeks
b = 3w
b = 3(18)
b = 54
So after 18 weeks she has read 54 books
Step-by-step explanation:
the answer is in the above image
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:
x=2
Step-by-step explanation:
6x+11-4x=15
2x+11=15
2x=4
x=2