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3 years ago

Which expression is equivalent to one over fourn − 16?

1 answer:

8 0

The correct answer is 1/4(n - 64).

1/4n - 16 Write Original expression
0.25n -16 Simplify the fraction
0.25(n - 64) Distribute(take out) 0.25 from n-16
1/4(n - 64) Final Answer

I hope this helps!

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A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

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3 years ago

Vince has a movie rental gift card that start with $50 on it. Each movie he rents costs him $4.

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Linear function: d = -4m+50 (that's a negative 4 btw)

Slope: -4

y-intercept: 50

I'm truly sorry but I forgot how to do the last one :(

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Answer:

5/14

Step-by-step explanation:

5/14 is the simplified form.

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