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dimulka [17.4K]

3 years ago

7

A test has twenty questions worth 100 points. The test consists of true/false questions worth 3 points each and multiple choice

questions worth 11 points each. How many multiple choice questions are on the test.

1 answer:

Tasya [4]3 years ago

7 0

I am very confused with this question

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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

Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below.

kakasveta [241]

we conclude that the graphed equation is:

y = 4*cos(pi*x)

<h3></h3><h3>Which trigonometric equation is the one in the graph?</h3>

First, we can see that the graphed function is even, so we know that it wiill be a cosine.

We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.

Then we have something like:

y = 4*cos(b*x)

To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2

Then:

b*1/2 = pi/2

b = pi

Finally, we conclude that the graphed equation is:

y = 4*cos(pi*x)

If you want to learn more about trigonometric equations:

brainly.com/question/8120556

#SPJ1

4 0

2 years ago

Read 2 more answers

What is the surface area of a prism of 5m, 4m, 5m, 7m, 6m

Anit [1.1K]

The surface area is 76m square

4 0

3 years ago

Read 2 more answers

Hellp plsssss<br><br> I would love it if you did!

Shtirlitz [24]

Answer:

1050

Step-by-step explanation:

bylon 3 x 68 =204

wool (3x3) x 94 =846

204 + 846 = 1050

he spent 1050 $ on materials

7 0

3 years ago

Read 2 more answers

Jobisdone [24]

Answer: the first and second choice

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers