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SashulF [63]
3 years ago
7

Find the common ratio of the geometric sequence 7,63,567, ...

Mathematics
2 answers:
agasfer [191]3 years ago
5 0

Answer: 9

Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!

Ksju [112]3 years ago
3 0

Answer:

Step-by-step explanation:

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{(−1, 5), (2, 8), (5, 3), (13, −4)} what are the range
makkiz [27]
(x;\ y)\\\\(-1, \fbox5), (2, \fbox8), (5, \fbox3), (13, \fbox{-4})\\\\\boxed{The\ range:y\in\{-4;\ 3;\ 5;\ 8\}}
7 0
3 years ago
Which of the following is the product of the rational expression shown below
wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

Explanation:

The given rational expression is \frac{x+3}{x+2} \cdot \frac{x-3}{x-2}

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

\frac{(x+3)(x-3)}{(x+2)(x-2)}

Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

Thus, we get;

\frac{x^{2} -3^2}{x^{2} -2^2}

Simplifying the terms, we get;

\frac{x^{2}-9}{x^{2}-4}

Thus, the product of the rational expression is \frac{x^{2}-9}{x^{2}-4}

Hence, Option C is the correct answer.

6 0
3 years ago
1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc
valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

t_{5} = - 1 + 4 ( -2 )

t_{5} = -1 - 8

t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

5 0
3 years ago
A company needs $5,400,000 in 14 years in order to expand their factory. How much should the company invest each week if the inv
ludmilkaskok [199]

Answer: the company should invest $12191 each week

Step-by-step explanation:

The amount that the company needs is $5,400,000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the weekly payments.

a represents the amount that the company needs

r represents the rate.

n represents number of weekly payments. Therefore

a = 5,400000

There are 52 weeks in a year

r = 0.079/52 = 0.0015

n = 52 × 14 = 728

Therefore,

P = 5400000/[{(1+0.0015)^728]-1}/{0.0015(1+0.0015)^728}]

5400000/[{(1.0015)^728]-1}/{0.0015(1.0015)^728}]

P = 5400000/{2.98 -1}/[0.0015(2.98)]

P = 5400000/(1.98/0.00447)

P = 5400000/442.95

P = $12191

3 0
3 years ago
HELP PLS I WILL GIVE BRIANLY!
ZanzabumX [31]

Answer:

20m

Step-by-step explanation:

The rooms are 4m x 5m.

To find the area, multiply length by width: 4*5=20

8 0
3 years ago
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