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FrozenT [24]
3 years ago
13

Help me with this please

Mathematics
1 answer:
netineya [11]3 years ago
6 0
You add 21 and 18 to get 39 then divide it by the lowest number that can go into it so it
would be 3 so 3 goes into 39 13 times there for it would be 13
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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
Nancy put 80 acorns in her backyard. Then, she made a graph of how many acorns different types of squirrels
Karolina [17]

Answer:

  16

Step-by-step explanation:

If we take the partial image to be 1/2 of a full image, then there are a total of

  5 1/2 + 2 + 6 + 2 1/2 = 16

acorn images on the graph. Each image represents 4 acorns, so a total of ...

  4 × 16 = 64

acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.

6 0
2 years ago
an plumber charges a flat rate of $25 for a job and $15 for each hour that he works on the job.how many hours did the plumber wo
Illusion [34]

Answer: 3 hours

Step-by-step explanation:

If you add up 25+15=40 if you add up 40+15=55, 55+15=70, 70+15=85

4 0
3 years ago
F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x
Alex787 [66]

Answer:

f(x)=1/2x+4.

Step-by-step explanation:

8 0
2 years ago
PLZ HELP!!! Will mark brainliest if answers are correct. I'm being timed I need answer as soon as possible. Also willl give a th
Ket [755]

Answer:

Order Data (least to greatest): 35,40,42,46,47,52

Mean: 43.66

MAD:4.66

Could not figure out Mean of Differences sorry!

Step-by-step explanation:

To find the mean you add all of the numbers and divide by the amount.

To find MAD find the sum of the data values, and divide the sum by the number of data values.

5 0
3 years ago
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