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3 years ago

Evaluate the sum of the following finite geometric series. 5+15+45 +135+ . . . + 1215 Sn=1

Mathematics

1 answer:

Nata [24]3 years ago

5 0

Answer:

1820

Step-by-step explanation:

The sum of the first n terms of a geometric series with common ratio r and first term a is:

a(1-r^n)/(1-r). Plugging this in 5(1-3^6)/(1-3)=1820

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What is the x-intercept of y=1/3x-5

Ronch [10]

Answer:

x = 15

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x.

0 = 1/3 x − 5

Solve the equation.

x = 15

This is so it makes more sense for u

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6 0

3 years ago

What is 0.644 in expanded form

Brrunno [24]

I hope this helps you

0,644

644/1000

161/250

4 0

3 years ago

Suppose two dice are tossed and the numbers on the upper faces are observed. Let S denote the set of all possible pairs that can

lesya [120]

Answer:

The set A={(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),(1,(2,6),(3,6),(4,6),(5,6),(6,6)}

B={(2,2),(4,2),(6,2),(2,4),(2,6),(1,3),(1,5),(1,1),(3,1),(3,3),(3,5),(4,4),(4,6),(5,1),(5,3),(5,5),(6,4),(6,6)}

C={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,5),(3,3),(3,5),(3,4),(3,6),(4,1),(4,3),(4,5),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,3),(6,5)}.

A∩B:{(2,2),(4,2),(6,2),(2,4),(2,6),(4,4),(4,6),(6,4),(6,6)}

A∪B={(1,2),(2,2),(4,2),(6,2),(2,4),(2,6),(4,4),(4,6),(6,4),(6,6),(3,2),(5,2),(1,4),(3,4),(5,4),(1,6),(3,6),(5,6),(1,3),(1,5),(1,1)(3,1),(3,3),(3,5),(5,1),(5,3),(5,5)}

A∩C={(1,2),(1,4),(1,6),(3,2),(3,4),(3,6),(5,2),(5,4),(5,6)}

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The episodes of a TV program are each 40 minutes long.

Hatshy [7]

Answer:

160

Step-by-step explanation:

40*4=160

160 min is also equal to 2 hours and 20 min

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4 0

3 years ago

Read 2 more answers

Please help me What is the mode of the data shown in this stem-and-leaf plot?

monitta

<h3>Answer: 24</h3>

Explanation:

The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.

In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.

The mode is 24.

7 0

3 years ago