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Stella [2.4K]
3 years ago
8

The slope of a line is?

Mathematics
1 answer:
valkas [14]3 years ago
6 0

Answer:

The correct answer is d) the ratio of the change in y to the change in x along the line.

We can tell this by looking at the slope formula.

m (slope) = (y2 - y1)/(x2 - x1)

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Doing an Algebra assignment that is due today, I have multiple problems I need help with, I'm posting 5 questions at a time sinc
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The answer is w^2 -12w +36

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A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching i
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Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

W = \frac{1}{2} kx^2\\\\W =  \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft

Therefore, the work done in stretching the spring is 8 lb.ft

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A basketball-player scores a free-throw with probability 0.9. What is the probability that her first miss occurs on the 6th shot
-BARSIC- [3]

Answer:

Pr = 0.059049

Step-by-step explanation:

Given

p = 0.9 --- probability of scoring

Required

Probability that his first miss is his 6th shot

Let q represent the event that he did not score.

Using complement rule:

q = 1 - p = 1 - 0.9 = 0.1

The event that his first miss is his 6th is represented as:

p p p p p q ---- That he scoress the first 5 attempts

So, the probability is:

Pr = p^5 * q

Pr = 0.9^5 * 0.1

Pr = 0.059049

7 0
3 years ago
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