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KIM [24]
3 years ago
9

What is domain and range in math

Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:

range is the difference between big and small numbers

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where p0 is the atmospheric pressure at sea level and k is a constant. If the atmospheric pressure is 14.7 lb/in.2 at sea level
balu736 [363]

Answer:

The value of pressure at an altitude of 10000 ft = 10 \frac{lb}{in^{2} }

Step-by-step explanation:

Given data

Atmospheric pressure P_{0} = 14.7 \frac{lb}{in^{2} }

Pressure at 4000 ft = 12.6 \frac{lb}{in^{2} }

If temperature is constant then the atmospheric pressure is varies with the altitude according to law

P (h) = P_{0} e^{- kh} ------ (1)

where k= constant & h = height

12.6 = 14.7 e^{- 4000k}

0.857 = e^{- 4000k}

㏑ 0.857 = - 4000 k

-0.154 = - 4000 k

k = 3.85 × 10^{-5}

Thus the atmospheric pressure at an altitude of 10,000 ft is

P_{10000} = 14.7 × e^{- kh} ----- (2)

Product of k & h is

k h = 3.85 × 10^{-5} × 10000

k h = 0.385

Put his value of k h = 0.385  in equation (2) we get

P_{10000} = 14.7 × e^{-0.385 }

P_{10000} = 10 \frac{lb}{in^{2} }

This is the value of pressure at an altitude of 10000 ft.

7 0
3 years ago
Find the volume of a cylinder with diameter 8 inches and height 9 1/2 inches
marta [7]

Answer:

V=152\pi in^{2} in terms or pi

V=477.52in^{2} simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

V=\pi r^{2} h

where

V is the volume of the cylinder

r is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: r=\frac{d}{2} =\frac{8in}{2} =4in. Now, 9 1/2 inches is 9 and a half inches, so h=9.5in.

Replacing values:

V=\pi (4in)^{2} (9.5in)

V=\pi (16in^{2})(9.5in)

V=152\pi in^{2}

V=477.52in^{2}

We can conclude that the volume of our cylinder is V=152\pi in^{2} in terms of pi, or V=477.52in^{2} simplified.

4 0
3 years ago
Read 2 more answers
Find the smallest non-zero whole number that is<br> divisible by 315, 378 and 392.
stepan [7]

Answer:

The smallest nonzero whole number that is divisible by 315,378 & 392 is the LCM of these 3 numbers. This can be found out by factorization method. Thus,the smallest nonzero whole number that is divisible by 315,378 & 392 is 52,920.

5 0
2 years ago
point a is on line segment RT. Given ST = 2x, RT = 4x, and RS = 4x -4 determine the numerical length of RS
Andrei [34K]
Forty nine x plus 15x -ggsg and y will get 13
3 0
3 years ago
tina drove 60 miles per hour to tucson. write a function rule that relates the number of miles traveled to the total of the hour
just olya [345]
A function rule would be y = 60x. Y represents the number of miles traveled, and X represents the number of hours. For example, if Tina drove for three hours, it would be 60×3 which is 180 miles.
5 0
3 years ago
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