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True [87]
3 years ago
5

Please Help!

Mathematics
1 answer:
bija089 [108]3 years ago
8 0
SOH CAH TOA

opposite= 66
hypotenuse= 79

sin(x) = 66/79
to solve for x use the reverse of sin

sin^{ - 1} (sin(x)) = sin^{ - 1} ( \frac{66}{79} )
x= 56.66
56.7
sorry but I'm bad at rounding, idk if I rounded good
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2x^2+3x-2, a=0 How do I find the derivative?
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You can use the definition:

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h

Then if

f(x) = 2x^2+3x-2

we have

f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2

Then the derivative is

\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

f'(0) = 4(0) + 3 = 3

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-2) = 3 (<em>x</em> - 0)

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anzhelika [568]

Answer:

Step-by-step explanation:

x² - 24x + 5 = 0

x² - 24x = -5

Now divide the co efficient of x by 2 and square the quotient and add to both sides

24/2 = 12

12² = 144. Now add 144 to both sides of the equation.

x² - 24x + 144 = 5 + 144

x² - 24x  + 144 = 149

x² - 2*12*x + 12² = 149

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Both sides take square root

x - 12  = ±√149

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Answer:

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Step-by-step explanation:

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fenix001 [56]

The question given is incomplete, here is a complete one gotten from google:

Consider a situation in which a random sample of 1000 adults is surveyed and the proportion that primarily buys organic vegetables is found. If a new random sample of 1000 adults is taken from the same population, explain whether each of the following would change:

a. The population proportion.

b. The sample proportion .

c. The standard deviation of the sample proportion.

d. The standard error of the sample proportion.

e. The sampling distribution of the sample proportion , including its shape, mean, and standard deviation.

Answer:

a. The population proportion, p will also not change.

b. There would be a change in the sample proportion.

c. The standard deviation of the sample proportion will change

d. The standard error of the sample proportion will change

e. The sampling distribution will not change

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b. Sample statistics vary from sample to sample, thus, there would be a change in the sample proportion.

c. The standard deviation of the sample proportion will change, since it depends on the new sample proportion.

d. The standard error of the sample proportion will change, since it depends on the new sample proportion.

e. The sampling distribution will not change with the new random sample since it is dependent on the population.

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Answer:

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Step-by-step explanation:

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