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lilavasa [31]
3 years ago
10

Find a10 given the geometric sequence 3, 12, 48, 192, ...

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

Step-by-step explanation:

first term = a = 3

common ratio = 2nd term ÷ first term

                       = 12 ÷ 3

                      r = 4

a_{n} = ar^{n-1}\\\\a_{10}=3*4^{9}\\\\\\ = 3 * 262144\\\\= 786432

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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
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What degree rotation mapped R(5,-6) to R’(6,5)?
alex41 [277]

Answer:

90 degrees counter-clockwise

Step-by-step explanation:

Hope this helps! :)

6 0
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Need help with this!!!!!!!!
zzz [600]
The linear combination method is the same as the elimination method.  Let's multiply the second equation by -2 so the x terms cancel each other out. When we do that we get a system of 2x-3y=13 and -2x-4y=8.  The x-terms cancel each other out giving us -7y=21 and y = -3.  Now sub -3 into one of the equations to solve for x.  x+2(-3)=-4, and x - 6 = -4.  x = 2.  So the solution for our system is (2, -3)
4 0
4 years ago
PLEASE HELP!! (50 POINTS)
Marrrta [24]

Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is C(2,0),O(7,0),A(7,2),T(2,2)

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;


m=\frac{y_2-y_1}{x_2-x_1}


Slope of CO,

M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0

A line with a zero slope is a horizontal line.


The slope of OA,

M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.


The slope of AT,

M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0


This is also a horizontal line.

The slope of TC,


M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}


This also a vertical line.


This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.


This shows that COAT is a rectangle.

8 0
3 years ago
A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining
Masja [62]

The equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

y –12 = –3(x – 1)

We can write the above equation as follows:

y = 12 - 3(x - 1)

y = 12 - 3x + 3

y = -3x + 15

or

f(x) = -3x + 15

Plug x = 0

f(0) = 15

The tub started with 15 gallons of water.

Thus, the equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
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