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3 years ago

Does the following infinite series converge or diverge?

1 answer:

3 0

Look like that first one is supposed to have a denominator of 2.

This is a geometric series with a common ratio 4, so it diverges (absolute value 1 or more), meaning it has no sum. Choice C.

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This list shows the age at which 38 U.S. Presidents died.

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What is the sum of 5+2 or 2+5? why is the sum the same..

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2 years ago

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What is the equation of the line i slope intercept form of the line passing throughoints (-5, -2)) and (3,-14).

Paraphin [41]

STEP 1

Write out the formula needed

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Also, m=}\frac{y_{}-y_1}{x_{}-x_1} \end{gathered}$

STEP 2

Equate both equations together then substitute the values of the points into the equation.

$\begin{gathered} \frac{y_2-y_1}{x_2-x_1}=\frac{y_{}-y_1}{x_{}-x_1} \\ \frac{-14-(-2)}{3-(-5)}=\frac{y-(-2)}{x-(-5)} \\ \frac{-14+2}{3+5}=\frac{y+2}{x+5} \\ -\frac{12}{8}=\frac{y+2}{x+5} \\ -\frac{3}{2}=\frac{y+2}{x+5} \\ \text{Cross multiply} \\ -3(x+5)=2(y+2) \\ -3x-15=2y+4 \\ 2y=-3x-15-4 \\ 2y=-3x-19 \\ \text{Divide both sides by 2} \\ y=-\frac{3x}{2}-\frac{19}{2} \end{gathered}$

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10 months ago

Tyler wants to calculate his grade in his accounting class. His test grades are a 77%, 62% 85%, 80%. What is his average in the

swat32

Answer:

Step-by-step explanation:

Given Tyler test grades to be 77%, 62% 85% and 80%, to find its average in the class, we will find the mean of his grades.

Mean is the ratio of the sum of the grades to the total number of grades given.

$mean (\overline x) = \frac{\sum Xi}{N}$

Xi are the individual grades

N is the total number of grades = 4

$\overline x = \dfrac{77+62+85+80}{4} \\\overline x = \frac{304}{4}\\ \overline x = 76 % \\$

<em>Hence his average in the class is 76%</em>

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3 years ago