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Sergeu [11.5K]
3 years ago
8

In a three hour TV broadcast the commercials show 29% of the time. How many minutes of commercials are shown each hour? Round to

the nearest tenth of a minute
Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

There are 17.4 minutes of commercials are shown each hour.

Step-by-step explanation:

An hour has 60 minutes.

So in 3 hours, there are 3*60 = 180 minutes.

The commercials show 29% of the time.

So we have 0.29*180 = 52.2 minutes, in total, of commercial.

Per hour, we have 52.2/3 = 17.4 minutes of commercial.

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How can the average rate of change be identified for a function?
Digiron [165]

Answer:

Rateofchange=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where x₁ and x₂ are values in the interval [x,y] respectively

Step-by-step explanation:

Well, first to determine the average rate of change of a function, you should have the interval of the values of x for the function.

So lets assume you have a function;

f(x)=x^3-4x

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Then the average rate of change for the function f(x) will be;

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where x₁ and x₂ are the interval coordinates x,y respectively. In this case x₁=1 and x₂=3

To find the average rate of change in this example will be;

=\frac{f(x_2)-f(x_1)}{x_2-x_1} \\\\=f(x_2)=f(3)=3^3-4(3)=27-12=15\\\\=f(x_1)=f(1)=1^3-4(1)=1-4=-3\\\\\\=x_2-x_1=3-1=2\\\\\\=\frac{15--3}{2} \\\\=\frac{18}{2} =9

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3 years ago
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I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

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In short, I computed \frac{1+\sqrt{1+160\pi^2}}{2\pi} only focusing on the plus for now.

----------------------

If you were to compute \frac{1-\sqrt{1+160\pi^2}}{2\pi} you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

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