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Ahat [919]
1 year ago
8

Solve for x 4x+3 X-8

Mathematics
1 answer:
Karo-lina-s [1.5K]1 year ago
3 0
We know this angle is a 90° or a right angle. So another words we know adding these 2 expressions equals to 90°.

(4x + 3) + (x - 8) = 90°

Remove the parentheses and combine the like-terms:

5x - 5 = 90°

Add 5 on both sides:

5x = 95°

Divide 5 on both sides

x = 19

You answer is x = 19.
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Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note
Viktor [21]

a. Recall that

\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C

For |x|, we have

\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n

By integrating both sides, we get

\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

If x=0, then

\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0

so that

\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

We can shift the index to simplify the sum slightly.

\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n

b. The power series for x\ln(1-x) can be obtained simply by multiplying both sides of the series above by x.

\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n

c. We have

\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)

\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}

4 0
3 years ago
The United States Census collects data on many variables about individuals and households.
Mrrafil [7]

Answer:

Years living in the U.S.

How many adults are registered to vote in the upcoming election?

Number of adults over 18

Number of minors in the household

Number of family members residing at the address

Zip code

Step-by-step explanation:

Given the following :

Select the variables which are quantitative :

Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.

Years living in the U.S. = quantitative

How many adults are registered to vote in the upcoming election? = quantitative

Number of adults over 18. = quantitative

Number of minors in the household = quantitative

Family role of respondent = not quantitative

Number of family members residing at the address = quantitative

Ethnicity = Not quantitative

Zip code = quantitative

6 0
3 years ago
7th grade math help me plzzzzzzz
Alex17521 [72]

Answer:

1. -60

2. 32

Step-by-step explanation:

6 0
2 years ago
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I need help no kap slide an answer
Zolol [24]

Answer:

The answer is A. Angles are proportional, side lengths are larger.

Step-by-step explanation:

That’s because scale factors greater than one make a shape larger, and the angles are proportional it's the lengths of the size that change.

7 0
3 years ago
The sum of two sisters ages is 38. One is 10 years older than the other. How old is the oldest sister?
Viefleur [7K]
Answer:24 .................
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