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saul85 [17]
3 years ago
5

There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being

the last​ stand-up comic of the evening. If this​ performer's request is​ granted, how many different ways are there to schedule the​ appearances?
Mathematics
1 answer:
artcher [175]3 years ago
7 0
Since there are 8 but the last comedian will always perform last the amount of comedians you have to take into account in 7. To calculate the amount of combinations use 7! which is 5040. So there are 5040 different ways the comedians could be scheduled.
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Step-by-step explanation:

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The cost of internet access at a café is a function of time. The costs for 8, 25, and 40 minutes are shown. Write an equation in
PolarNik [594]

Answer:

  • y=0.17x+3
  • The cost of surfing the web at the café for one hour: \$13.2

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Take two points and substitute them into the formula for calculate the slope (The formula is m=\frac{y_2-y_1}{x_2-x_1}).

Having these points:

(8,4.36) and (40,9.80)

You can identify that:

y_2=4.36\\y_1=9.80\\\\x_2=40\\x_1=8

Then, the slope is:

m=\frac{4.36-9.80}{40-8}=0.17

Substitute the slope and the coordinates of any point on the line into the equation y=mx+b and then solve for "b":

4.36=0.17(8)+b\\\\4.36-1.36=b\\\\b=3

Therefore, equation in Slope-Intercept form that represents the function is:

y=0.17x+3

Since 1 hour hour has 60 minutes, you need to substitute x=60 into the equation and then evaluate, in order to find the cost of surfing the web at the café for one hour. Then:

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3 years ago
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