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BigorU [14]
4 years ago
12

the distance a jet travels varies directly as the number of hours it flies. A jet traveled 2875 miles in 5 hours. What is the co

nstant of variation
Mathematics
1 answer:
skelet666 [1.2K]4 years ago
3 0

Answer:

k = 575

Step-by-step explanation:

let d be distance and h time.

Given d varies directly as h then the equation relating them is

d = kh ← k is the constant of variation

To find k use the condition d = 2875, h = 5, then

2875 = 5k ( divide both sides by 5 )

k = 575

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If f(x)=x^2 and g(x)=1÷2x+3 find g(f(-1))
gogolik [260]

ANSWER

g(f( - 1)) = \frac{1}{5 }

EXPLANATION

The given function is:

f(x) =  {x}^{2}

and

g(x) =  \frac{1}{2x + 3}

g(f(x)) = g( {x}^{2} )

g(f(x)) = \frac{1}{2{x}^{2} + 3 }

To find g(f(-1)), we substitute x=-1, to obtain;

g(f( - 1)) = \frac{1}{2{( - 1)}^{2} + 3 }

We simplify the square in the denominator to get,

g(f( - 1)) = \frac{1}{2+ 3 }

We now add the denominator to obtain;

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4 years ago
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FinnZ [79.3K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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jasenka [17]

Answer:

4a. 13

4b. -4

Step-by-step explanation:

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2x-6 = 20

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5 0
3 years ago
A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?
nalin [4]

Answer:

The correct answer is 12.8 J.

Step-by-step explanation:

To solve this problem, we must remember how to calculate the kinetic energy of an object.

The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object.  If we plug in the given values into the formula, we get:

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K = (1/2) * (0.40) * (8.0)^2

Our first step is to square the velocity.  After doing this step, we get the following:

K = (1/2) * (0.40) * (64)

Finally, we can perform the multiplication, to get:

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The unit for kinetic energy is joules, so the correct answer is 12.8 J.

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