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2 answers:
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First make the denominators of the fractions the same by multiplying.
× 
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Now we just need to add the fractions together
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9/6 would be the answer, but it can be simplified further, then converted into decimal form.
÷ 
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=1.5 yards
Your final answer is 1.5 yards of ribbon are needed.
=
Now we just need to add the fractions together
=
9/6 would be the answer, but it can be simplified further, then converted into decimal form.
=
=1.5 yards
Your final answer is 1.5 yards of ribbon are needed.
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!