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pantera1 [17]
3 years ago
13

Math Help plases I need an answer

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0
The answer would be A, since the median is 14 and that is where the middle line is at
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Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
3) If you can buy one package of shallots for<br> $4, then how many can you buy with $12?
Olin [163]

Answer:

3.

Step-by-step explanation:

4$ = 1 pack

(think: what times 4 is 12? 3! so we need to muliply both sides of the equal sign by 3, so we can turn the 4 into a 12. Remember, what you do to on side, you must do to the other. )

4$ = 1 pack

*3  *3

12$ = 3 packs

so your answer is 3.

5 0
3 years ago
Read 2 more answers
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number o
UNO [17]

The equation is given as

y = 12 sin (6t - \pi /2) + 2

<h3>The Amplitude </h3>

The Amplitude can be calculated as

amplitude = \frac{max + min}{2}\\ amplitude = \frac{10+14}{2} = 12

<h3>The Vertical Shift</h3>

The vertical shift is the average difference between the maximum and minimum.

Vertical Shift = \frac{Max - Min}{2} = \frac{14-10}{2} = 2

For b value

The Time Period will be twice the distance between max and min.

time period = \frac{2\pi }{b} \\time period = 2 * distance between max and min\\b = \frac{2\pi }{2}*\frac{1}{b} = \frac{\pi }{6}

<h3>The Period</h3>

The period is calculated as

T = \frac{2\pi }{b} \\T = \frac{2\pi }{\frac{\pi }{b} } = 12

The equation is given as

y = 12 sin (6t - \pi /2) + 2

Learn more on time period and amplitude here;

brainly.com/question/15531840

8 0
2 years ago
Can someone explain to me on how to do this?
sp2606 [1]

Answer:$1304.89

Step-by-step explanation:

P(1 + r/n)^r*t

500 ( 1 + 0.08/52) ∧ 52*12

500 (1.00154)^624

500 ( 2.61)

1304.88523

7 0
3 years ago
Which is the correct classification of √18?
seropon [69]

Answer:

irrational number, non-repeating decimal

Step-by-step explanation:

√18 = √9·√2 = 3·√2.  

√2 is an irrational, non-repeating decimal (my calculator shows it to be approx. 1.414213562..... )

and so √18 is the same.

7 0
3 years ago
Read 2 more answers
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