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3 years ago

The slope of the line below is 5. which of the following is the point-slope form of the lne?

1 answer:

3 0

Point-slope form of a line is

y=mx+b

where m is the slope and b is your y intercept

So, if the slope is 5, then that is your m value

y=5x+b

To find the value of b, that is just the value of where the line passes the y axis

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Solve each equation by taking square roots 2n^2 -8=-33

densk [106]

$2n^2 -8=-33$

$
2n^2=-33+8
 
$ $Add \ 8 \ to \ both \ sides$

$2n^2=-25$

$n^2=- \dfrac{25}{2}$ $Divide \ both \ sides \ by \ 2$

$n=+ \sqrt{ -\dfrac{25}{2} }$ $Take \ the \ square \ root \ of \ both \ sides$

$n=+ \sqrt{ \dfrac{5i}{ \sqrt{2}}}$

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3 years ago

Radical exponent definition

kaheart [24]

Answer:

a fractional exponent in which the numerator of the fractional exponent is the power of the base and the denominator of the fractional exponent is the index of the radical.

Step-by-step explanation:

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1 year ago

Bring the fraction a/a-4 to a denominator of 16-a^2

Dmitry_Shevchenko [17]

Answer:

a / (a - 4) = a(a + 4) / ((a - 4)(a + 4)) = (a^2 + 4a) / (a^2 - 16) = -(a^2 + 4a) / (16 - a^2)

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4 years ago

You make $25000 a year, and you get a 10% raise. Your new salary is $____ The next year you get a 10% cut. Your new salary is $_

gtnhenbr [62]

Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): $\$25000 \times 0.1=\$2500$ . $2500 is the 10% raise.

Next, to find your first new salary, add $25000 and $2500 together: $\$25000+\$2500=\$27500$ . $27500 is your new salary after the 10% raise.

Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. $\$27500 \times 0.1=\$2750$ . $2750 is your 10% cut.

Next, since this is a cut, subtract $2750 from $27500. $\$27500-\$2750=\$24750$ . $24750 is your new salary after the 10% cut.

Next, to find the percentage change, firstly divide $24750 by $25000. $\frac{\$24750}{\$25000}=0.99\ \textsf{or}\ 99\%$ . Now this shows that your current salary is 99% of what you used to make. It is not how much less you make. To find how much less it is, subtract 99% from 100%: $100\%-99\%=1\%$ . Your current salary is 1% less than what you used to make.

6 0

4 years ago

A coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00am to 7:30am

adelina 88 [10]

The probability that more than 210 people will pass in front of his store is 0.2272.

In the question, we are given that a coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00 A.M to 7:30 A.M.

We are asked to find the probability that more than 210 people will pass in front of his store if the mean number of customers during this time is 210.

This experiment follows a Poisson Distribution with a mean (λ) = 200, and the random variable X = 210.

To find the probability that more than 210 people will pass in front of his store, we will find P(X > 200).

P(X > 200) = 1 - P(X ≤ 210).

Now, P(X ≤ 210) can be calculated using the function poissoncdf(200,210) on the calculator.

As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).

The value of poissoncdf(200,210) = 0.77271.

Thus, the value of P(X > 210) = 1 - 0.77271 = 0.22729.

Thus, the probability that more than 210 people will pass in front of his store is 0.2272.

Learn more about Poisson Distribution at

brainly.com/question/7879375

#SPJ4

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2 years ago