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lyudmila [28]
3 years ago
7

Starting from 100 feet away, your friend skates toward you and then passes by you. She skates at a constant speed of 20 ft/sec.

Write an equation to show her distance d from you in feet after t seconds. At what times is she 40 ft from you?
Mathematics
2 answers:
amm18123 years ago
6 0

Your friend's distance from her starting point to your position is decreasing until she passes by you.  This distance is D(t) = 100 ft - (20 ft / sec)t.  We'll assume that your friend doesn't actually pass by you; she just gets closer and closer, from her initial 100 ft distance from you.  Then:

D(t) = 40 ft = 100 ft - (20 ft / sec)t.  Simplifying, we get:

-60 ft = -(20 ft / sec)t, and thus t = 3 sec.

igomit [66]3 years ago
3 0

80 because you would take them all away subtract all of to get the solve

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3 years ago
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What are the solutions of the following system? StartLayout Enlarged left-brace 1st row 10 x squared minus y = 48 2nd row 2 y =
jeyben [28]

Answer:

<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>

Step-by-step explanation:

Given:

10x² - y = 48  ⇒(1)

2y = 16x² + 48 ⇒(2)

From eq.(1) ⇒ y = 10x² - 48 ⇒(3)

By substitution with y from eq.(3) at eq.(2)

∴ 2(10x² - 48) = 16x² + 48

Solve for x

∴ 20x² - 96 = 16x² + 48

∴ 20x² - 16x² = 48 + 96

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∴ x² = 144/4 = 36

∴ x = ±√36 = ±6

By substitution with x at eq.(3)

when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312

when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312

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3 0
3 years ago
Now suppose that the manufacturer decides to accept the shipment if there is at most one defective part in the sample. How large
Mashcka [7]

Answer:

hello your question is incomplete below is the missing parts of the question

answer : K = 80

Step-by-step explanation:

P [ x ≤ 1 ]  < 0.1

determine how large k have to be

note : n = k

sample proportion = 0.01

E = 0.05 - 0.01 = 0.04

applying this formula below

E = Z_{c} \sqrt{\frac{pq}{n} }  

0.04 = 1.645 \sqrt{\frac{0.05*0.95}{n} }    make n subject of the equation

n = 80.3353

hence  the value of K ≈ 80

4 0
3 years ago
What is the inverse of the statement below?<br> х = у
Nesterboy [21]

Answer:

well you need to know whts number there are

Step-by-step explanation:

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