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babunello [35]
3 years ago
11

Find an explicit formula for the geometric sequence 1/2,-4, 32,-256, .. a(n) =?

Mathematics
1 answer:
Travka [436]3 years ago
7 0
The explicit formula for this arithmetic sequence is A(n)=1/2•(-8)^(n-1)
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85 is composite because it can be divided by 5 and 17

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Hello please help i’ll give brainliest
Rama09 [41]

Answer: 81

Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.

6 0
3 years ago
Raj tried to solve the system below.
jekas [21]

Answer: Option C) Raj forgot the negative when substituting -15+9x for y.


Solution:

(1) 9x-y=15

(2) 2x+8y=28

Isolating y in the first equation. Subtracting 9x both sides of the equation:

(1) 9x-y-9x=15-9x

Subtracting:

(1) -y=15-9x

Multiplying both sides of the equation by -1:

(1) (-1)(-y)=(-1)(15-9x)

(1) y=-15+9x

Then Raj found the value of y. It's not option D.

Substitutng y by -15+9x in the second equation:

(2) 2x+8(-15+9x)=28

Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.

Eliminating the parentheses applying the distributive property in the multiplication:

(2) 2x-120+72x=28

Adding similar terms:

(2) 74x-120=28

Solving for x. Adding 120 both sides of the equation:

(2) 74x-120+120=28+120

Adding:

(2) 74x=148

Dividing both sides of the equation by 74:

(2) 74x/74=148/74

Dividing:

(2) x=2

Solving for y: Replacing x by 2 in the first equation:

(1) y=-15+9x

(1) y=-15+9(2)

Multiplying:

(1) y=-15+18

Subtracting:

(1) y=3  

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4 years ago
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Answer:

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5 0
3 years ago
After each charging, a battery is able to hold only 97% of the charge from the previous charging. The battery was used for 18 ho
Cerrena [4.2K]

Answer:

The total nuber of hours that the battery can be used over its lifetime is 600.

Step-by-step explanation:

We use an infinite geometric series to solve this question.

The sum of all values of an infinite geometric series is given by the following equation:

S = \frac{a_{1}}{1 - r}

In which a_{1} is the first term and r is the common ratio.

After each charging, a battery is able to hold only 97% of the charge from the previous charging.

This means that r = 0.97

The battery was used for 18 hours on its first charge before it had to be recharged.

This means that a_{1} = 18

What is the total number of hours the battery can be used over its lifetime?

S = \frac{18}{1 - 0.97} = 600

The total nuber of hours that the battery can be used over its lifetime is 600.

7 0
4 years ago
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