Pls help for brainlest

Schach [20]

The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.

You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4

2) Divide both sides by 10 to get y by itself on the left. Simplify:
$10y = -5x - 4\\
y = - \frac{5}{10} x - \frac{4}{10} \\
y = - \frac{1}{2} x - \frac{2}{5}$

Remember that for parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.

When the equation is in slope-intercept form, $y = - \frac{1}{2} x - \frac{2}{5}$ , you can see that $m = - \frac{1}{2}$ .

A parallel equation is in the form:
$y = - \frac{1}{2} x + b$

Plug in anything you want for b. One example is: $y = - \frac{1}{2} x + 3$

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Answer: $y = - \frac{1}{2} x + 3$ (just one example)

7 0

3 years ago

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In a study to establish the absolute threshold of hearing, 80 male college freshmen were each seated in a soundproof room and a

Norma-Jean [14]

Answer:

Step-by-step explanation:

Hello!

To study the threshold of hering the researcher took a random sample of 80 male college freshmen.

The students underwent an audiometry test where a tome was played and they had to press a button when they detected it. The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB

To estimate the population mean, since we don't have information about the variable distribution but the sample size is greater than 30, you can use the approximation of the standard normal distribution:

X[bar] ± $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

Where the semiamplitude or margin of error of the interval is:

d= $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

Using a 95% level $Z_{0.975}= 1.965$

d= 1.965 * $\frac{2.1}{\sqrt{80} }$

d= 0.46

The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db

And the estimation using a 95%CI is [21.74;22.66]

I hope this helps!

8 0

3 years ago

I would really appreciate help with the following, along with work shown so I can understand how these were solved.

Alja [10]

First, you have to know the double angle formula:

sin 2A = 2 sin A cos A

cos 2A = cos² A − sin² A = 2 cos² A − 1 = 1 − 2 sin² A

tan 2A = 2 tan A / (1 − tan² A)

Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.

For the half angles, know the half-angle formula:

sin(B/2) = ± √(1 − cos B)/2

cos(B/2) = ± √(1 + cos B)/2

tan(B/2) = (1 − cos B) / sin B = sin B / (1 + cos B)

refer to this website for details:

https://brownmath.com/twt/double.htm

For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste.

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

cscx=8 or cscx=-1

You may not have the csc button on your calculator. Recall that csc is 1/sin, so sinx=1/8 or sinx=-1, so x is either 7.18 or 270 degrees

6 0

3 years ago

Use the Remainder Theorem to determine which of the following is a factor of p(x) = x 3 - 2x 2 - 5x + 6.

Reika [66]

If x + 1 is a factor then f(-1) will = zero.

f(-1) = 8 so its not answer a).

f(3) = 0 so the answer is x - 3

Its c.

3 0

3 years ago

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The point (3,6) is represented on the graph. Which point also belongs on this graph? (36,72)(35,75)(70,30)(42,85)

anygoal [31]

Answer:

The answer is (36,72)

3 0

3 years ago