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Cloud [144]
3 years ago
12

30 POINTS! NEED HELP ASAP

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
1. Answer: 15.7143

log (7x-10)=2

Use the identity: loga(x)=b = x=(a)(b)

7x-10=10^2

Evaluate the Power

7x-10=100

Addition Property of Equality

7x=110

Division Property of Equality

x=110/7 or 15.7143

2. Answer: 0.3107

log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107


3. Answer: 0.002

log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500

Answer: 0.002

Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps


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Answer:

75

Step-by-step explanation:

48% of snowstorms caused power outages, which means 52% did not.

Therefore, 39 is 52% of all snowstorms.

39 = 0.52x

x = 75

There were 75 snowstorms over the 5-year period.

4 0
3 years ago
A quadrilateral WXYZ contains wxy where measure of wxy=92 degrees. Once rotated 270° about the origin and translated 2 units up,
Marianna [84]

Answer:

C. 92 degrees

Step-by-step explanation:

Given that the \angle{wxy}=92° which is one of the angles of the quadrilateral WXYZ

The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.

The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.

So,\angle{w'x'y'}= \angle{wxy}

By using the given value,

\angle{w'x'y'}= 92°

Hence, option (C) is correct.

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3 years ago
A social psychologist conducts an experiment and finds a statistically significant result. This means that the a. experiment is
coldgirl [10]

Considering that the hypothesis test found an statistically significant result, it is found that the correct option is:

c. probability of obtaining this finding by chance alone is less than some quantity.

<h3>What is an hypothesis test?</h3>
  • When a hypothesis test, there are two hypothesis, the null and the alternative hypothesis.
  • There is also a significance level.
  • If the probability of obtaining the finding by chance is less than the significant value, the result is statistically significant.

Hence, according to these bullet points, option C is correct.

You can learn more about hypothesis tests at brainly.com/question/16313918

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Vesnalui [34]

Step-by-step explanation:

csc x / (cot x + tan x)

Write in terms of sine and cosine.

(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]

Multiply top and bottom by sin x.

1 / [cos x + (sin²x / cos x)]

Multiply top and bottom by cos x.

cos x / (cos²x + sin²x)

Use Pythagorean identity.

cos x / 1

cos x

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