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Stolb23 [73]
3 years ago
8

System of equations when 45 animals with 7more cats than dogs

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
"system of equations when 45 aninals with 7more cats than dogs" 45= 7c>d
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50 points! I understand A. and B. but I would really appreciate help with C.
FromTheMoon [43]

Answer:

51.72\text{ cells per hour}

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:

P(t)=6.10t^2-9.28t+16.43

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:

\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]

Expand:

P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]

Differentiate. Use the power rule:

P'(t)=6.10(2t)-9.28(1)

Simplify:

P'(t)=12.20t-9.28

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

P'(5)=12.20(5)-9.28

Multiply:

P'(5)=61-9.28

Subtract:

P'(5)=51.72

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0
2 years ago
Can someone help me please I would appreciate it.
Dmitry_Shevchenko [17]
The answer is c to my calculations.
4 0
3 years ago
Use the Distributive Property to write equivalent expressions for each of the following
sergij07 [2.7K]
(5x6) + (5x) (hope this helps!)
6 0
3 years ago
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To rent a car a company will charge customers a $50.00 fee and then $29.99 per day to rent a car. Which expression represents th
blsea [12.9K]

Answer:

D

Step-by-step explanation:

Because n is the number of days and 29.99 is the cost per day.

Also, $50 is the fee so you add that too.

6 0
3 years ago
Help and explain <br><br> Don’t use for points or will be reported and I’ll take it back
Fittoniya [83]

Answer:

86+34+x=180

x=180-120

x=60

Hope it helps

4 0
3 years ago
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