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3 years ago

Help on an input question?

Mathematics

1 answer:

hichkok12 [17]3 years ago

6 0

Answer:

The input is the letter in the parentheses.

Step-by-step explanation:

f(h) is h

g(f) is f

h(g) is g

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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.

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 instanteous 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 exactly t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

3 years ago

Match the vocabulary word with the correct definition. 1. inverse operations terms that have the same variable(s), with each var

Licemer1 [7]

Answer:

inverse operations is with oppisite operations that undo each other.

open circle is circle not filled in to show that the point is a border value and is not included as part of the solution set.

like terms is terms that have the same varible raised to the same exponent.

ordered pair is a group of two numbers written in the form (x, y) where the x value represents a horizontal position.

the last one numeric expressions is an expression involving only constants

Step-by-step explanation:

7 0

3 years ago

How many real number solutions does this equation have <img src="https://tex.z-dn.net/?f=-7x%5E2%2B6x%2B3%3D0" id="TexFormul

garik1379 [7]

Answer:

None

Step-by-step explanation:

8 0

3 years ago

Without using a calculator, choose the statement that best describes the value of

castortr0y [4]

Answer:

Step-by-step explanation:

i would say in between 8&9 bc the square root of 8 is 36 and 9 is 81 and that's right in the middle

4 0

3 years ago

Read 2 more answers

68+133+37 by first rounding each number to the nearest ten

chubhunter [2.5K]

Answer:

240.

Step-by-step explanation:

70+130+40=240.

4 0

3 years ago

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Help on an input question?