Apply the distributive property to create an equivalent expression<br> (-7c+ 8d)0.6=

Determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter div

Lemur [1.5K]

The geometric series is convergent and the value is 16.

<h3>How to illustrate the information?</h3>

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

7 0

2 years ago

For which is 3 NOT an element of the range?

Brilliant_brown [7]

Is your D y= - (- x) ^2
If so y would equal a negative so it cannot be 3

5 0

3 years ago

A person drove 36 miles per hour on a trip. If he had driven 48 miles per hour he would have arrived 4 hours earlier. What was t

nlexa [21]

Answer:

d = 576

Step-by-step explanation

Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.

Let the time traveled by the fast car = t

Let the time traveled by the slower car = t+4

Let the rate of travel of the slow car = 36 mph

Let the rate of travel of the fast car = 48 mph

===========

d = 36*(t + 4)

d = 48 * t

Since the distance is the same, they can be equated.

48t = 36(t + 4) Remove the brackets.

48t = 36t + 144 Subtract 36t from both sides.

48t - 36t = 144 Combine

12t = 144 Divide by 12

t = 144/12

t = 12

Therefore the faster car takes 12 hours to get where it is going.

d = 48 * t

d = 48 * 12

d = 576

6 0

4 years ago

A survey was taken among female and male voters and which candidates they voted for.

Ghella [55]

Answer: its 48% i took the test

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If there are x teams in a sports league, and all the teams play each other twice, a total of N(x) games are played, where N

Elena-2011 [213]

Answer:

It will cost $700 to play the entire schedule.

Step-by-step explanation:

Given : $N(x)=x^2-x$

To Find : A softball league has 5 teams, each of which play the others twice. If the league pays $35 per game, how much will it cost to play the entire schedule?

Solution:

Equation for total no. of games when all the teams play each other twice is $N(x)=x^2-x$

Now we are given that A softball league has 5 teams, each of which play the others twice.

So, Substitute x = 5 in the given equation

$N(x)=5^2-5$

$N(x)=20$

So, The total no. of games = 20

Cost for 1 game = $35

So, cost for 20 games = $35 \times 20 = 700$

Hence it will cost $700 to play the entire schedule.

5 0

3 years ago

Apply the distributive property to create an equivalent expression (-7c+ 8d)0.6=