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yan [13]
3 years ago
13

Which statement is true of this function?

Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0

Answer:

  A.  As the value of x increases, the value of f(x) moves toward a constant

Step-by-step explanation:

An exponential function with a base less than 1 will decay to zero. Here, the exponential has -2 added to it, so the decay is toward the value -2.

An exponential function is defined for all real numbers. This one has a y-intercept of -1.

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If a plane can travel 490 miles per hour with the wind and 430 miles per hour against the​ wind, find the speed of the wind and
zavuch27 [327]

let the speed of plane in still air be x and that wind be y

therefore:

x+y=490

x-y=390

next we solve for the values of x and y, first we add the above equations. This will give us:

2x=880

x=880/2

x=440 miles per hour.

substituting the value of x in one of the equations and solving for y we get:

440+y=490

y=490-440

y=50 miles per hour

7 0
4 years ago
What is the surface area of this right rectangular prism with dimensions of 4 centimeters by 4 centimeters by 6 centimeters?
bagirrra123 [75]

Answer:

C

Step-by-step explanation:

This is because using the formula of area for shapes, you get this equation

A=2(wl+hl+hw)=2·(4·6+4·6+4·4)=128

7 0
3 years ago
Read 2 more answers
The projected T. rex is about
dolphi86 [110]

Answer: scale\ factor=230

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

actual\ height=2\ cm

The height of the projected T-rex is:

projected\ height=4.6\ m

Make the conversion from meters to centimeters:

projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm

Therefore, the scale factor will be:

scale\ factor=\frac{projected\ heigth}{actual\ heigth}

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230

7 0
3 years ago
What is the elasped time for 9:30p.m to8:30a.m?
solniwko [45]
12:00-9:30 = 2:30
12:30+8:30 = 8:30
2:30 + 8:30 = 11:00
11 total hours elapsed
3 0
3 years ago
Read 2 more answers
An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking out will diminish. Suppose
Alborosie

Answer:

62.77 million gallons

Step-by-step explanation:

Given,

The function that shows rate of leaking oil per minute in after t hours,

R(t) = \frac{0.7}{1+t^2}

∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,

Hence, the quantity of oil leaked out in the first 3 hours,

V(t) = \int_{0}^{180} R(t) dt

=\int_{0}^{180} \frac{0.7}{1+t^2} dt

=0.7 \int_{0}^{180} \frac{dt}{1+t^2}

=0.7[tan^{-1}(t)]_{0}^{180}

=0.7(tan^{-1}(180) - tan^{-1} (0))

=0.7(89.68)

= 62.77 million gallons

5 0
3 years ago
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