A school wishes to form three sides of a rectngular playground using 480 meters of fencing. The playground borders the school bu
2 answers:
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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:
There are a total of 4 + r + 6 marbles in the bag
The probability of a blue is
The probability of a red is
The probability of choosing a blue, replacing it and then a red is
×
= [tex]\frac{4r}{100+20r+ r^{2} /[tex]
Step-by-step explanation: