Answer:

Step-by-step explanation:
We are given the two functions:

And that:

With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions <em>f</em> and <em>g</em>.
First, find <em>h: </em>
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Because (1, -40) and (-1, 24) are points on the graph of <em>h</em>, we have that h(-1) = 40 and h(-1) = 24. In other words:

And:

Solve the system of equations. Adding the two equations together yield:

Solve for either <em>m</em> or <em>n: </em>
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Substitute this into one of the two equations above and solve:

Therefore:

Solve for <em>m: </em>
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Hence, the values of <em>n</em> and <em>m</em> are either: 2 and 2, respectively; or 1 and 0, respectively.
In conclusion, functions <em>f</em> and <em>g</em> are:

Answer:
The correct option is;
17,202 feet
Step-by-step explanation:
The distance from the observer to the bird is given as 21,000 ft
The angle between the line of flight of the bird to the horizontal line from its nest = 35°
With the triangle BNO = A right triangle, we have;
The distance of the bird from its nest = Adjacent leg of the right triangle
The distance of the observer from the bird = Hypotenuse length
Which by trigonometric relations gives;

21,000×cos(35 degrees) = The distance of the bird from its nest = 17,202.2 feet ≈ 17,202 feet.
To get 1% of $19.99 we can move the decimal place two spots to the left. This leaves us with .2 rounded. Then multiply .2 x 6 because its a 6% sales tax. This gives an answer of $1.2. The sales tax on the pair of jeans is an additional $1.20.
Didn't I answer this one? It's x = to 62. YOU'RE WELCOME :D
The probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977
<h3>What is probability?</h3>
Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events
<h3>How to determine the probability?</h3>
The given parameters are:
Mean = 0.8
Variance = 0.0004
Calculate Standard deviation using
σ = √σ²
This gives
σ = √0.0004
Evaluate
σ = 0.02
Calculate the z-score at x = 0.84 using
z = (x -
)/σ
This gives
z = (0.84 - 0.8)/0.02
Evaluate
z = 2
The probability is then represented as:
P(x > 0.84) = P(z > 2)
Next, we look up the value of the z table of probabilities
From the z table of probabilities, we have:
P(x > 0.84) = 0.977
Hence, the probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977
Read more about probability at:
brainly.com/question/11234923
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