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3 years ago

A car travels at a speed of 85 miles per hour. How far will it travel in 15 mins?

Mathematics

1 answer:

marusya05 [52]3 years ago

5 0

In this question, we're trying to find how many miles a car travels in 15 minutes.

We know that the car travels at 85 mph.

However, we need to know how many miles it travels per minute.

To find this, we would divide 85 by 60.

85 ÷ 60 = 1.4166

The car drives at a speed of about 1.42 per minute.

We need to know how far it goes in 15 minutes, so multiply 1.42 by 15.

1.42 · 15 = 21.3

The car travels at a approximately 21.3 miles in 15 minutes.

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3 years ago

A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet awa

MariettaO [177]

Answer:

The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further

Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further

Step-by-step explanation:

From the question we are told that

The maximum height of the first pluck is $h_1 = 3 \ ft$

The height of the second height is mathematically represented as

$$y=x\left(0.15-0.001x\right)$

=> $y=0.15x -0.001x^2$

Generally at maximum height $y' = 0$

$y'=0.15 -0.002 x = 0$

=> $x = 75 \ ft$

Here 75 ft is the horizontal distance the second pluck traveled at maximum height

So the maximum height of the second pluck is mathematically represented as

$y=0.15(75) -0.001(75)^2$

=> $y= 5.625 \ ft$

So comparing the maximum height of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father

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3 years ago