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ArbitrLikvidat [17]

2 years ago

7

A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, an

d
y is the temperature, in degrees Fahrenheit, of the sauna.
Which interpretation describes a line of best fit of y = -1.5x + 173 for the data?

2 answers:

Rzqust [24]2 years ago

7 0

Answer:

Answer: A the member can tolerate a temp of 173 fahrenheit for 0 minutes

Step-by-step explanation:

Vilka [71]2 years ago

5 0

Answer: A the member can tolerate a temp of 173 fahrenheit for 0 minutes

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Enter a related multiplication sentence to solve 1/6 divided by 3

goldfiish [28.3K]

Answer:

0.05555555555

Step-by-step explanation:

usless you flip it around then it would be 2 cause 1/6 / 3 = .0555555555555 because the 1/6 butif they want u to flip it then it would be 6/3=2

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3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

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2 years ago

The sum of twice a number and five is greater than three times the number minus three

Ludmilka [50]

Answer: 2x+5 >3(n)-3

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3 years ago

Simplify this expressions 5x -7 + 3x + 10

Cerrena [4.2K]

Answer:

8x + 3

Step-by-step explanation:

=5x+−7+3x+10

=(5x+3x)+(−7+10)

=8x+3

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2 years ago

A rectangular patio has a length of 12 1/12 feet and an area of 103 1/8 square feet. What is the width of the patio?

mafiozo [28]

Answer:

The width of the rectangular patio is 8 1/4 feet, or as a decimal, 8.25 feet

Step-by-step explanation:

6 0

3 years ago