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2 years ago

Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.

Mathematics

1 answer:

miv72 [106K]2 years ago

3 0

Answer:

You decide that you will spend 2 times as many hours outdoors as you spend watching TV.

Let the hours spent outdoors be = o

Let the time spent on watching tv be = t

So, general equation becomes o=2to=2t

Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.

When t = 4

o = 2(4) = 8 hours

When t = 8

o = 2(8) = 16 hours

We have been asked to place points on the graph to show your activity for last week and this week.

Please find attached the points display.

<h2 /><h3>hope it helps.</h3>

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the common ratio and an explicit form in each of the following geometric sequences.

Margaret [11]

Answer:

The explicit form is $a_{n}=162(2/3)^{n-1}$

Step-by-step explanation:

The explicit form of a geometric sequence is given by:

$a_{n}=ar^{n-1}$

where an is the nth term, a is the first term of the sequence and r is the common ratio.

In this case:

a=162

The value of the common ratio is obtained by dividing one term by the previous term.

For the first and second terms:

108/162=2/3

For the second and third terms (In order to prove that 2/3 is the common ratio)

72/108=2/3

Therefore:

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Replacing a and r in the formula:

$a_{n}=162(2/3)^{n-1}$

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2 years ago

Find cot θ if csc θ = negative square root of thirty seven divided by six and tan θ > 0.

Ket [755]

You can use the trigonometric identity $1+\cot^2{x}=\csc^2{x}$ .

$1+\cot^2{\theta}=(\frac{-\sqrt{37}}{6} )^2 \\ 1+\cot^2{\theta}=\frac{37}{36} \\ \cot^2{\theta}=\frac{1}{36} \\
\cot{\theta}=\frac{1}{6}$

The requirement that $\tan{\theta}\ \textgreater \ 0$ eliminates -1/6 from being another solution.

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2 years ago

What is the greatest common factor of the three terms?<br><br> 36h, 12h6, 48h5

Helen [10]

Answer:

Step-by-step explanation:

each term has h^1

each term's coefficient is divisible by 12

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2 years ago

Kelly is three years younger than her sister. The sum of their ages is 34 years. How old is Kelly and how old is her sister?

Kazeer [188]

Answer:

Kelly is 20

Her sister is 14

Step-by-step explanation:

34 ÷ 2 = 17 (average)

17 + 3 = <u>20</u>

17 - 3 = <u>14</u>

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3 years ago