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2 years ago

15

Write an equation that represents a perpendicular line to y=-3x+5

1 answer:

koban [17]2 years ago

4 0

Answer:

Example

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x−5 y = 3 x - 5 must have a slope that is the negative reciprocal of the original slope.

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If the values of the supplementary angles are 40 and 2x, what is the value of x? ANSWER QUICKLY PLS!

Zolol [24]

Answer:

140°

Step-by-step explanation:

The value of supplement is 40 and X. We know that the sum of the sumplementary angles is 180. Therefore ,

=> x + 40° = 180°

=> x = 180° - 40°

=> x = 140°

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2 years ago

A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level

cupoosta [38]

Answer:

The sample required is $n = 135$

Step-by-step explanation:

From the question we are told that

The standard deviation is $\sigma = 9$

The margin of error is $E = 2$

Given that the confidence level is 99% then the level of significance is mathematically evaluated as

$\alpha = 100-99$

$\alpha = 1 \%$

$\alpha = 0.01$

Next we will obtain the critical value $\frac{\alpha }{2}$ from the normal distribution table(reference math dot armstrong dot edu) , the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 2.58$

The sample size is mathematically represented as

$n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2$

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2 years ago

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kondor19780726 [428]

Answer:

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2 years ago

Read 2 more answers

Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day. According to a

Degger [83]

Answer:

The equation that models this scenario $b(x)=(3+0.5x)(38-4x)$

Step-by-step explanation:

First we convert 50 cent into dollar,

1 cent = $\frac{1}{100}$ dollar

1 cent = 0.01 dollar

50 cent = 0.5 dollar

According to question,

x is the number of 50¢=$0.5 price increases.

b(x) is the revenue generated

He currently charges $3 per book.

i.e. price of book = 3+0.5x

Quantity or average = 38 per day

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

i.e. quantity became 38-4x

Revenue = Price × Quantity

The required equation is given by,

$b(x)=(3+0.5x)(38-4x)$

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3 years ago