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sasho [114]
3 years ago
5

What is the common difference and ninth term for the following sequence: 3,5/2,2,3/2,1

Mathematics
1 answer:
Stells [14]3 years ago
3 0

Answer:

Common Difference: -\frac{1}{2}

The ninth term: -1

Step-by-step explanation:

The sequence can be written like this,

3, 2.5, 2, 1.5, 1, ....

Here the common difference is clearly -0.5 or -\frac{1}{2}, and we can conclude that n^{th} number is 3 - 0.5(n-1). So the 9th term is,

3 - 0.5(9 - 1)\\= -1

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7,640,000 in scientific notation
Nina [5.8K]
Answer: 7.64 x 10^6

Change the number to be a number between 1 and 10 multiplied by a power of 10. In this case, the decimal point is moved 6 places to the right when changing it to scientific notation, which is where you get 10^6.
7 0
3 years ago
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Kelly decides to pour her punch into 1 quart containers to fit into her refrigerator until the party starts.she has four 1 quart
Masja [62]
It depends how much punch she has. We don't know how many jars she will need if we don't know how much liquid there actually is.
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3 years ago
What is the equation of the line that passes through the point (3,-3)(3,−3) and has a slope of 0?
hichkok12 [17]

Answer:

The equation of the line that passes through the point (3,-3) and has a slope of 0 will be:

0=y+3

Step-by-step explanation:

The point-slope form of the equation of a line is:

\:y\:-\:y_1\:=\:m\left(x-x_1\right)

where

  • m is the slope of the line and,
  • \left(x_1,\:y_1\right) is a point on the line.

As the slope is m=0, and the point is (3,-3)

so

Equation of the line will be:

\:y\:-\:y_1\:=\:m\left(x-x_1\right)

y\:-\:\left(-3\right)\:=\:0\left(x-3\right)

Further simplifying

0=y-\left(-3\right)

0=y+3

Therefore, the equation of the line that passes through the point (3,-3) and has a slope of 0 will be:

0=y+3

8 0
3 years ago
If sally has 566 books but has 5 box’s how many books goes into each box?
Bogdan [553]

All we have to do here is divide how many books she has (566) by how many boxes she has (5)

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We can round 113.2 to 113

Therefore about 113 books will be in each box

Hope this helps

-AaronWiseIsBae

3 0
3 years ago
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Write the equation for a line in slope-intercept form (y=mx+b) that
dalvyx [7]

Answer:

y = -2x - 1

Step-by-step explanation:

Parallel lines have the same slope, so the slope will also be -2.

Plug this slope and the given point into the equation y = mx + b and solve for b:

y = mx + b

5 = -2(-3) + b

5 = 6 + b

-1 = b

Then, plug this and the slope into the equation:

y = -2x -1 will be the equation

3 0
3 years ago
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