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2 years ago

Write an explicit formula for an, the nth term of the sequence 19,24,29

Mathematics

1 answer:

o-na [289]2 years ago

3 0

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

$a_1=19 ; \ a_n=a_{n-1}+5$

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: $a_1=First \ term ; \ a_n=a_{n-1}+d$

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

$a_1=19 ; \ a_n=a_{n-1}+5$

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To find this answer, all we have to do is identify the least common multiple of 6 and 20

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3 years ago

A dog trainer has 104 ft of fencing that will be use to create a rectangular work area for dogs. If the trainer wants to enclose

Andrews [41]

Answer:

The dimensions of the work area are 16 ft by 36 ft

Step-by-step explanation:

Let

x ----> the length of the work area in feet

y-----> the width of the work area in feet

we know that

The perimeter of the work area is equal to

$104=2(x+y)$

simplify

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$y=52-x$ ----> equation A

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$576=xy$ ---> equation B

substitute equation A in equation B

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$x^2-52x+576=0$

solve the quadratic equation by graphing

using a graphing tool

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see the attached figure

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2 years ago

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2 years ago

How many hours is 3200 seconds <br><br> 3200 s =_____hrs

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Dividing by 3,600

Determine the number of seconds you have. This information should be given, or it should be a figure you calculated yourself.

For example, you might be converting 2,400 seconds into hours.

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Convert your decimal to minutes. This step is helpful if you are working with a number of seconds equal to less than an hour, so that you can gauge how long a certain decimal is. To convert the decimal to minutes, multiply it by 60.[2]

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2 years ago

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Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the

Alinara [238K]

Answer:

4 Hours

Step-by-step explanation:

Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.

So:

1/x + 1/x + 1/x + 1/x = 1/32

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4x = 32

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Thus, the rate of the machines is 1/8.

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1/8 + 1/8 = 1/y

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y = 4

The time taken to complete it is 4 hours.

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2 years ago

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