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Radda [10]
2 years ago
11

Which geometric series converges?

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer:

D. 1/5 + 1/20 + 1/80 + 1/320

Step-by-step explanation: i got you bro

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jack has $7.55 of change in his pocket. if he has 4 more dimes than than nickels, and twice as many quarters as nickels, how man
dolphi86 [110]

Answer:

11 nickels, 15 dimes, 22 quarters

Step-by-step explanation:

number of nickels = x

number of dimes = x+4

number of quarters = 2x

- - - - - -

total of nickels = 5x cents

total of dimes = 10x + 40 cents

total of quarters = 50x cents

- - - - - -

755 = 5x + 10x + 40 + 50x

755 = 65x + 40

715 = 65x

x = 11

x+4 = 15

2x = 22

8 0
3 years ago
What is the next term of the following sequence? 12, 6, 3, ...
Shalnov [3]
A m8 the rule is to divide by 2
7 0
3 years ago
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The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg
Viefleur [7K]

Answer:

The length of the legs of the triangle is 8 units.

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

2l^2 = h^2

Hypothenuse of 8 V2

This means that h = 8\sqrt{2}

So

2l^2 = h^2

2l^2 = (8\sqrt{2})^2

2l^2 = 64*2

l^2 = 64

l = \sqrt{64}

l = 8

The length of the legs of the triangle is 8 units.

4 0
3 years ago
in one hour the temperatures in a city fell was from 4.5 Degree C to -5.4 degrees C . How many degrees celius did
Thepotemich [5.8K]
The temperature dropped 9.9 degrees Celsius
8 0
3 years ago
Which expression is a factor of 36x2−9?
Nataly_w [17]

Answer:

18x - 9

Step-by-step explanation:

Factor the common factor of 9 first which gives 9(4x^{2} -1)

4x^{2}  - 1 is the difference of two squares and factors into (2x + 1)(2x - 1)

The complete factorization of 36x^{2} -9 is 9(2x + 1)(2x - 1).  

So 9(2x - 1) = 18x - 9 is a factor of the original expression.

4 0
3 years ago
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