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3 years ago

Apply root test to the series.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

$\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac{5n+15}{2n-1}\right)^n\right|}=\lim_{n\to\infty}\frac{5n+15}{2n-1}=\dfrac52$

Since this limit exceeds 1, the series diverges.

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Use the figure to the right to find the value of PT. T is the midpoint of PQ.

vichka [17]

Answer:

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

$5x + 2 = 7x - 6$

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

$5x - 7x = - 2 - 6$

$-2x = -8$

Divide both sides by -2

$x = 4$

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

8 0

3 years ago

on a lake, Carol rowed a boat for 1/8 mile. Then luke rowed the boat for 3/8 mile. how far did carol and like row in all? simpli

Semmy [17]

Answer:

$Total = \frac{1}{2}$

Step-by-step explanation:

Given

$Carol = \frac{1}{8}$

$Luke = \frac{3}{8}$

Required

How far did they row together

To do this, we simply add the distance they both covered.

$Total = Carol + Luke$

This gives;

$Total = \frac{1}{8} + \frac{3}{8}$

Take LCM

$Total = \frac{1+3}{8}$

$Total = \frac{4}{8}$

Simplify

$Total = \frac{1}{2}$

<em>Hence, they both rowed 1/2 mile</em>

7 0

3 years ago

Juan rolls a 6-sided number cube 4 times. each time, the result is 2. which best describes the events? dependent: each outcome w

scoray [572]

Answer: 1/6

because there are 6 side to a cube and you can only have a outcome of 1 so therefore, the answer is 1/6

7 0

2 years ago

Write an equation to represent the following statement.

svetoff [14.1K]

Answer/explanation:

60=5k

Is the equation because the word is means equals, so we add an equal sign after the 60. Five times greater simply means multiply so we multiply 5 and k.

To solve the equation, you would need to divide both sides by 5 to isolate the variable

60/5=5k/5

12=k

7 0

3 years ago

Show each step along the Way<br><br>Ur mom

LekaFEV [45]

2x+6 = 20
take 6 from both sides
2x = 14
divide by 2 on both sides
x = 7

8 0

2 years ago