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blagie [28]
2 years ago
8

A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2

+ 250 can be used to represent the approximate height of the object off the ground after x seconds. Which is the best estimate for the amount of time elapsed when the object is 120 meters off the ground?
4 seconds
5 seconds
6 seconds
7 seconds
Mathematics
2 answers:
Romashka [77]2 years ago
8 0

Answer:

The answer is approximately 5.09 seconds.

Step-by-step explanation:

The given equation is:

f(x) = -5x^2 + 250

To find the elapsed time, x, set the equation equal to 120 and solve for x:

-5x^2 + 250 = 120

-5x^2 = -130

x^2 = -130/-5 = 26

x = Sqrt(26) = 5.09 seconds.

e-lub [12.9K]2 years ago
3 0

Answer:

B

Step-by-step explanation:

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CaHeK987 [17]

Answer:

Her expenses are $25 per week.

Step-by-step explanation:

Given :Jessica earns a commission on each sale but has to pay for her own expenses.

She writes the equation of the function like this: E(x) = 7x - 25, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?

Solution:

E(x) = 7x - 25

x is the number of doors she knocks on during the week

E(x) is her earnings for the week in dollars.

Calculate y intercept

Substitute x = 0

y= - 25

Since E(x) is her total earning after clearing the payment of all her expenses.

So, 25 is her expenses per week.

Since we are given that she need to pay her expenses .

So, if there is no sale , still she need to pay expenses.

Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.

4 0
2 years ago
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Daniel [21]
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In right triangle qrs, angle r is a right angle. The altitude rt is drawn to hypotenuse qs. If qr is 20 and qs is 25 then find t
elena-s [515]

Answer:

length of qt = 16

Step-by-step explanation:

Given in the question that qrs is a right angle triangle,

where qr = 20

          sr = ?

          qs = 25

          qt = ?

<h3>1)</h3><h3>Find sr</h3>

hypotenuse² = base² + height²

sq² = sr² + rq²

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2)

When altitude rt is drawn to hypotenuse qs, it divides the triangle qrs into

two right angle triangle, rtq and rts.

Δrtq

height = rt

base= tq = 25 - x

hypotenuse = qt = 20

Δrts

height = rt

base= ts = x

hypotenuse = sr = 15

These both triangle shares same altitude that is rt

So, by using pythagorus theorem

      Δ rtq                                               Δ rts

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50x = 450

x = 450/50

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C(11,4)= \frac{11!}{4!(11-4)!} 

She has 330 possible choices  to come home with 4 pieces of jewelry



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