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4 years ago

7

For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include

all of your work.
{-4, 12, -36,...}

1 answer:

PolarNik [594]4 years ago

5 0

Answer:

108

Step-by-step explanation:

common ratio (r) = 2nd term/1st term = 12/-4 = -3

$a_{n}=a_{n-1}*(-3)\\a_{5}=a_{4}*(-3)\\\\ = -36*(-3)\\\\ = 108$

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Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which stat

Doss [256]

Answer:

D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.

Step-by-step explanation:

After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.

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3 years ago

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It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 10 inches wide, and 14 inches tall. How long will it tak

kari74 [83]

Answer:

66 minutes, or 1 hour and 6 minutes.

Step-by-step explanation:

let us first do the rectangular aquarium:

8 x 10 = 80

80 x 14 = 1120

now the second box

23 x 25 = 575

575 x 33 = 18975

we can divide the boxes volume:

18975/575 = 33

so all we have to do is times 33 by 2 which equals:

66 minutes, or 1 hour and 6 minutes.

4 0

2 years ago

It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a

erma4kov [3.2K]

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters

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4 years ago

Math math math math math <br> i need help<br> tysm :) <3

stiv31 [10]

Answer:

C. x^14

Step-by-step explanation:

(x^9)^0 is 1

(x^7)^2 is x^14

x^14*1 is x^14

The Answer is C. x^14

Hope this helps!

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3 years ago

Point R is located on segment QS. If QR = 10 and RS = 7, what is the measure of QS?

Vadim26 [7]

Answer:

QS = 17 units

Step-by-step explanation:

Given:

R located at QS

QR = 10

RS = 7

Find:

Measure of QS

Computation:

QS = QR + RS

QS = 10 + 7

QS = 17 units

6 0

3 years ago