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White raven [17]
1 year ago
9

Oceanography The floor of the Atlantic Ocean is spreading at an average rate of

Mathematics
1 answer:
Andrej [43]1 year ago
3 0

Using the graph of the linear function y = x, the ocean floor will spread 10 inches in 10 years.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The linear function that models this situation is:

y = x.

Which means that the ocean floor spreads at a rate of 1 inch per year.

Looking at point A on the graph, when x = 10, y = 10, hence the ocean floor will spread 10 inches in 10 years.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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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
3 years ago
Calculate the length.
Nataly_w [17]
A^2 + B^2 = C^2

6^2 + B^2 = 7^2

36 + B^2 = 49

B^2 = 13

B = 3.61

Leave a like and a rating!
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x
Furkat [3]

Answer:

6x +15

Step-by-step explanation:

5 0
3 years ago
Using the Pythagorean Theorem, which two examples are right triangles?
eimsori [14]

Answer:

2 and 4

Step-by-step explanation:

7 0
3 years ago
Hello!! I have a question, can you please answer it. ^^
xeze [42]

Answer:

1. 75

2. 1

Step-by-step explanation:

5 0
3 years ago
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