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3 years ago

15

Consider the following geometric series. [infinity] (−7)n − 1 8n n = 1. Find the common ratio. Determine whether the geometric s

eries is convergent or divergent. convergent divergent If it is convergent, find its sum.

1 answer:

Hatshy [7]3 years ago

3 0

Answer:

d67d6d 34r2

Step-by-step explanation:

d53eududc6ttd5cf

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Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He curre

Semenov [28]

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

<u>Currently:</u>

Number of pushups = 25

Number of squats = x

Total number = 25 + x

<u>After increase:</u>

Number of pishups $=25\cdot (1+0.2)=1.2\cdot 25=30$

Number of squats $=x\cdot (1+0.2)=1.2x$

Total number $=30+1.2x$

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

$(30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40$

6 0

3 years ago

How do u round 14,494 to the nearest thousand

Reil [10]

Look at the digit one number place to the right of the thousands place, the hundreds. In this case it is another 4. Since it is less than 5, the thousands place will stay the same. If it were 5 or greater, the thousands place would go up by one number. 14,494 rounded to the nearest thousand is 14,000

7 0

3 years ago

Q8<br> The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Amanda [17]

Answer:

(3,-5)

Step-by-step explanation:

Given

$M = (2,2)$

$H = (1,9)$

Required

Determine G

This is calculated using the following midpoint formula;

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where

$(x,y) = (2,2)$ and $(x_1,y_1) = (1,9)$

Substitute these values in the formula above

$(2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})$

Solving for $x_2$

$2 =\frac{1 + x_2}{2}$

Multiply both sides by 2

$2 * 2 = 1 + x_2$

$4 = 1 + x_2$

$x_2 = 4 - 1$

$x_2 = 3$

Solving for $y_2$

$2 = \frac{9 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = 9 + y_2$

$4 = 9 + y_2$

$y_2 = 4 - 9$

$y_2= -5$

Hence, the coordinates of G is $(3,-5)$

4 0

3 years ago

PLEASE SOMEONE HEEEEELLLP!!

kenny6666 [7]

1. $30
2. 14 points
3. 25 crayons

7 0

3 years ago

Can someone please help

dimaraw [331]

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sinθ = $\frac{AC}{AB}$

= $\frac{1500}{5000}$

$\theta=\text{sin}^{-1}(\frac{3}{10})$

$\theta=17.46$ degrees

3 0

3 years ago