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3 years ago

Find the sum is of the geometric series 12+6+3+...

1 answer:

3 0

$S=12+6+3+...\\\\a_1=12;\ a_2=6;\ a_3=3\\\\r=a_2:a_1\\\\r=6:12=\dfrac{1}{2} \ \textless \ 1\\\\therefore\ S=\dfrac{a_1}{1-r}\\\\S=12+6+3+...=\dfrac{12}{1-\frac{1}{2}}=\dfrac{12}{\frac{1}{2}}=12\cdot\dfrac{2}{1}=24\\\\Answer:\boxed{12+6+3+...=24}$

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-2(-12)(-8) PLZ I NEED HELP WITH THIS ONE>

otez555 [7]

Step1:use the rules for multiplication
-2x(-12)x(-8)
Step2:Multiply
-(2x12x8)
Step3:multiply
-(24x8)
Solution:
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2 years ago

Which relation describes a function?

Kisachek [45]

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which no two pairs have the same first number.

In other words, an x cannot be paired with two y's.

A function takes an x and pairs it with one and only one y.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

8 0

3 years ago

Read 2 more answers

The robber stole only 32 pounds of quarters out of the coin machine. Quarters are weighed in ounces. If there are 16 ouncess in

Leya [2.2K]

The number of ounces stolen is 512

8 0

3 years ago

Read 2 more answers

CDA=XYZ

Anarel [89]

The triangles are ACD and XYZ

Congruent segments means that they have the same length.

Then CD = XY, AC = ZX and AD = ZY

This is the option B. from the list.

Answer :B.CD=XY,DA=YZ,AC=ZX

8 0

3 years ago

Read 2 more answers

The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two

Degger [83]

9514 1404 393

Answer:

3. C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

C(-1, -5), D(2, -5)

_____

The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

5 0

2 years ago