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mart [117]
3 years ago
8

What is the sum of the geometric series t=1

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0
In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. ... To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
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If one yard equals 3 ft in one mile equals 5280 ft how many yards are there in 2 miles
Georgia [21]

Answer:

2 miles = 3520 yards

Step-by-step explanation:

1 mile = 1760 yards

2 miles = 3520 yards

5 0
3 years ago
What’s the Value for k?
xeze [42]

Answer:

Step-by-step explanation:

The sum of the angles on a straight line is 180 degrees. Therefore,

Angle XYZ + angle MYZ = 180

Angle XYZ + 115 = 180

Angle XYZ = 180 - 115 = 65 degrees

The sum of the angles in a triangle is 180 degrees. It means that

Angle XZY + angle YXZ + angle MYZ = 180

Therefore,

4k + 5 + 6k + 10 + 65 = 180

4k + 6k + 5 + 10 + 65 = 180

10k + 80 = 180

10k = 180 - 80 = 100

Dividing the left hand side and the right hand side of the equation by 10, it becomes

10k/10 = 100/10

k = 10

5 0
3 years ago
Suppose you have a job teaching swimming lessons and get paid $6 an hour. You also have job as cashier and get paid $8 and hour.
VikaD [51]
This is a system of equations problem.

L =  Hours of Swim Lessons
C = Hours as Cashier

L + C = 15        This is an equation for working 15 hours total.
so
L = 15-C

6L + 8C = 100   This is an equation for making at least $100.
so
6 (15-C) + 8C = 100    *You substituted 15-C for L here
90 - 6C + 8C = 100      Distribute
90 + 2C = 100
2C = 10
C = 5          You can work 5 hours as a cashier

L + C = 15
L + 5 = 15
L = 10          You can work 10 hours teaching swimming lessons.

If you want to make EXACTLY $100 you would work 5 hours as cashier and 10 hours teaching swimming lessons.

HOWEVER, the question says AT LEAST $100 and NOT MORE than 15 hours per week. Since you make more money as a cashier, any work over 5 hours will help you make over $100.

As long as you work at least 5 hours as a cashier and any remaining hours teaching swimming lessons, you will make over $100.

5 cashier, 10 swimming
6 cashier, 9 swimming
7 cashier, 8 swimming...

Mr. Pacey
JH/HS Social Studies Teacher
(but I've also helped with Math Team for JH & HS)
4 0
3 years ago
Help me pls i have no idea how to do this :(((((((
den301095 [7]
For all just put them together in x and y. For example, f(2)=-2 would be (2,-2). f(1)= 1 would be (1,1).
3 0
2 years ago
Cassandra works at a bookstore. Yesterday, she sold 18 hardcover books. The rest of the books she sold were paperback books. She
Vika [28.1K]

Answer:

A

Step-by-step explanation:

if you take 23 and put it in for p 18+23=41

6 0
3 years ago
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