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denis-greek [22]
3 years ago
6

Please Help!!!!

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
6 0

Answer:

3

Step-by-step explanation:

lutik1710 [3]3 years ago
4 0

Answer:

3

Step-by-step explanation:

The linear function

One of the points is (0,5), so

f(0) = 5

The y-intercept is at (0,5).

===============

The exponential function

The general formula for an exponential function is y = a(b)^{x}.

=====

Calculate the <em>value of b </em>

    y₃/y₂ = [a(b)³]/[a(b)²]

250/50 = b

         b = 5

=====

Calculate the <em>value of a </em>

250 = a(5)³

250 = a × 125

   a = 2

=====

g(x) = 2(5)^{x}

g(0) = 2(5)⁰

g(0) = 2 × 1

g(0) = 2

=====

|f(0) – g(0)| = |5 – 2|

|f(0) – g(0)| = 3

The positive difference in the y-intercepts of f(x) and g(x) is 3.

You can see the two y-intercepts on the graph below.

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Answer:

The option <u> J 36.7 inches</u>  best represents the length of hypotenuse.

Step-by-step explanation:

<u><em>The question is incomplete, so below is the complete question:</em></u>

A triangle has one leg of 32 inches and one leg of 18 inches. For the triangle to be a right triangle, which best represents the length of the hypotenuse?

F 34.2 inches  G 36 inches  H 41.8 inches  J 36.7 inches.

Now, to find the hypotenuse.

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Leg 2 = 18 inches.

Now, to get the hypotenuse we use pythagoras theorem:

(Leg1)^2+(Leg2)^2=(Hypotenuse)^2

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Using square root on both sides we get:

36.7=Hypotenuse

Hypotenuse=36.7\ inches.

Therefore, the option J 36.7 inches best represents the length of hypotenuse.

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Answer:

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Thus, the correct answer is

Option A)

\displaystyle\lim_{t\to\infty}~p(t) = k

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