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3 years ago

A high -speed elevat6 can rise 480 feet in 30 seconds. which expression represent the rate, in fret per minute, of elevator?

1 answer:

5 0

If an elevator rises 480 feet per 30 seconds, then it would rise 960 feet per minute.

You get this answer by doubling 480 because there are 60 seconds in a minute, and you have to also double 30 seconds to get 60 seconds. 960ft/1min is the answer.

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Two airplanes are are 1600 miles apart and heading toward each other at different altitudes. The first plane is traveling north

Elden [556K]

The planes will pass each other in 1.14 hours.

Why?

To solve the problem, we must remember that since both planes are heading toward each other, the speed to the calculations will be their combined speeds.

The speed will be:

$Speed=PlaneA+PlaneB\\\\Speed=620mph+780mph=1400mph$

Now, calculating the time, we have:

$x=v*t\\\\1600mi=1400mph*t\\\\t=\frac{1600mi}{1400mph}=1.14hours$

Hence, the planes will pass each other in 1.14 hours.

Have a nice day!

6 0

3 years ago

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(

Verizon [17]

For this case we have the following function:
f (t) = -16t2 + 48t + 100
The average rate of change is:
(f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 3:
f (3) = -16 * (3) ^ 2 + 48 * (3) + 100
f (3) = 100
For t2 = 5:
f (5) = -16 * (5) ^ 2 + 48 * (5) + 100
f (5) = -60
Substituting values:
AVR = (-60 - 100) / (5 - 3)
AVR = -80
Answer:
The average rate of change of f (t) from t = 3 seconds to t = 5 seconds is -80 feet per second.

8 0

4 years ago

Which statement best describes the interquartile range of this set of weights?

Arisa [49]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find dydx for xy+x+y=6. Differentiate both sides of the equation with respect to x, and then solve for dydx. Do not substitute f

velikii [3]

Answer:

$\frac{dy}{dx}=-\frac{y+1}{x+1}$

Step-by-step explanation:

The given equation is $xy+x+y=6$

Differentiate both sides with respect to x

$x\frac{dy}{dx}+y+1+\frac{dy}{dx}=0$

Take y and 1 to other sides of the equation

$x\frac{dy}{dx}+\frac{dy}{dx}=-y-1$

Factor out dy/dx from the left hand side of the equation

$\frac{dy}{dx}(x+1)=-y-1$

Divide both sides by (x+1)

$\frac{dy}{dx}=\frac{-y-1}{x+1}\\\\\frac{dy}{dx}=-\frac{y+1}{x+1}$

7 0

3 years ago

Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine

yan [13]

Step-by-step explanation:

An exponential growth function can be written in the form y = abx where a > 0 and b > 1. The graph will curve upward, as shown in the example of f(x) = 2x below. Notice that as x approaches negative infinity, the numbers become increasingly small.

8 0

3 years ago