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3 years ago

Given h(x)=5x-5h(x)=5x−5, find h(2)h(2). it is not 3

Mathematics

1 answer:

trapecia [35]3 years ago

8 0

Answer:

h(2) = 5

Explanation:

Given h(x)=5x-5

to find h(2) ......replace x with 2

h(2)=5(2)-5

h(2) = 10 - 5

h(2) = 5

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The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a

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See below

Step-by-step explanation:

Problem 1

For the function $f(x)=a*cos(bx+c)+d$ , the period is $\frac{2\pi}{|b|}$ . In the context of this problem, the period is $\frac{2\pi}{|3\pi|}=\frac{2}{3}$ . This means that after every $\frac{2}{3}$ minutes, the height of the passenger will be the same, which shows they have completed one loop of the Ferris wheel.

Problem 2A

Since the ride took 15 minutes and 1 loop takes $\frac{2}{3}$ minutes, then the number of loops made during the ride is $15\div\frac{2}{3}=\frac{45}{2}=22\frac{1}{2}$ loops.

Problem 2B

Plug $t=15$ into the function to determine the height of the passenger after 15 minutes:

$h= -82.5*cos(3\pi t)+97.5$

$h= -82.5*cos(3\pi(15))+97.5$

$h= -82.5*cos(45\pi)+97.5$

$h= -82.5*(-1)+97.5$

$h=82.5+97.5$

$h=180$

Therefore, the height of the passenger after 15 minutes is 180 feet above the ground.

Problem 3A

Plug $t=6$ into the function to determine the height of the last passenger after 6 minutes when the power outage occurs:

$h= -82.5*cos(3\pi t)+97.5$

$h= -82.5*cos(3\pi(6))+97.5$

$h= -82.5*cos(18\pi)+97.5$

$h= -82.5*(1)+97.5$

$h=-82.5+97.5$

$h=15$

Therefore, the last passenger is 15 feet above the ground after 6 minutes when the power outage occurs.

Problem 3B

The last passenger to board the ride won't need to wait in order to exit the ride because they are at the lowest point of the ride which is 15 feet above the ground. Therefore, they can get off immediately then.

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