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soldier1979 [14.2K]
3 years ago
14

An airplane ascends such that its gain h in altitude is proportional to the square root of the change x in horizontal distance t

raveled. If h=256 m for x=256 m and v Subscript x is constant at 370​ m/s, find the velocity at this point.
Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:velocity=185 m/s

Step-by-step explanation:

So make k the subject of the formula by divide both by sqrt(x)

h= k × sqrt(x)

k=h/sqrt(x)

k=256 / sqrt(256)

k=256 / 16

k=16

So now substitute the value of k :

h= 16 × sqrt (x)

Then differentiate:

=(1/2 × sqrt(x))× 16

=16/(2×sqrt(x)

=8/sqrt(x)

Then

= 8/sqrt(x) × 370

=8/ sqrt(256) × 370

=8/16 × 370

velocity=185 m/s

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Median

Step-by-step explanation:

Since the data has an outlier (12,985), mean is not the best average.

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4 0
3 years ago
Rectangle ABCD is shown to the right. Point E is located
mafiozo [28]
A) The area of the rectangle ABCD is base times height. 20in x 12in = 240 in sq.
B) The area of the triangle AED is base times height divided by two. (14in x 12in)/2 = 84in sq.
C) Figure EBCD is a right trapezoid (having one pair of parallel sides, while the others are slanted and forming a right angle).
D) Area of EBCD is the area of the rectangle minus the area of the triangle. 240in sq - 84in sq = 156in sq.
4 0
2 years ago
Here is the question
serg [7]

First find the amount of the difference between the original price and the current price:


$10,600 - $7,400 = $3,200


Divide the difference by the original price:

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5 0
3 years ago
On 7 jobs, a welder charges 3.5 hours, 9.5 hours, 4 hours, 5.5 hours, 12 hours, 8.5 hours, and 6 hours. Find the average hours b
defon
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3 0
3 years ago
Find the indicated values g(t)=t^2-t and f(x)=1+x g(f(2)+3)
Semmy [17]

Answer:

g( f(2)+3) = 30

Step-by-step explanation:

<u>step(i)</u>:-

Given function  g(t)=t²-t and f(x)=1+x

given f(x)=1+x

         f(2) = 1 + 2 =3

<u><em>step(ii)</em></u>:-

g( f(2)+3) = g(3 + 3)

              = g(6)

             = (6)² - 6

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<u><em>Conclusion</em></u>:-

g( f(2)+3) = 30

7 0
3 years ago
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