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xxMikexx [17]
3 years ago
13

Find the 20th term of this sequence. -2,4,-8,16

Mathematics
1 answer:
Ivenika [448]3 years ago
8 0

Answer:

1,048,576

Step-by-step explanation:

You should multiply it with -2 20 times

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
2 years ago
Given the following set of data, which measures have a value of 6? (Check all that apply.)
tia_tia [17]
The answer: median
Ok so good luck it’s right
5 0
3 years ago
Alan deposited $300 into a savinga account. At the end of the first year, the amount of money in the account has increased to $3
Step2247 [10]
He had put in $300 and got out $336 at the end of the year.
This means an increase of $36 over a year.

10% of $300 = $30 dollars
This shows that he definitely got more than a 10% increase.

Alan got $6 more than $30 so to find 6 from 30, you divide by 5

so ( 10% = $30 ) divided by 5 = ( 2% = $6 )

Adding the amount of money and percentages gives you 12% = $36

So the amount of mpercentage increase is 12%

Overall the amount of money in his bank now compared to when he deposited it, he has 112% in the bank.
4 0
3 years ago
I have a party sub that 3/4 yard long. I will cut it into smaller sandwiches that are 1/12 yard long. how many smaller sandwiche
Lena [83]

Answer:

9

Step-by-step explanation:

the question is practically "how many 1/12 sandwiches fit inside a 3/4 sandwich"

this calls for division

3/4 / 1/12

"flip & switch"

3/4 * 12/1

36/4

9

you will have 9 small sandwiches

4 0
2 years ago
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What is a y intercept
11Alexandr11 [23.1K]

Answer:

A y-intercept is the point at which a function hits the y-axis on a graph.

Step-by-step explanation:

It's called this because it's where the function intersects the y-axis.

4 0
3 years ago
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