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grin007 [14]
3 years ago
7

The first term of a geometric sequence is 3 and the multiplier, or ratio, is 2. What is the sum of the first 6 terms of the sequ

ence?
A. 6
B. 9
C. 216
D. 189
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0

I.   3*2^0
II.  3*2^1
III  3*2^2
IV. 3*2^3
V.  3*2^4
VI. 3*2^5
The sum 3*(2^0+2^1+2^2+2^3+2^4+2^5)=3*(2^6-1)=3*(64-1)=3*63=189
D is the answer
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PLEASE ANSWER
Anni [7]

x is the independent variable.

y is the dependent variable.

-3 is the rate of change (slope).

-7 is the initial value.

Step-by-step explanation:

The form of the linear relation is y = m x + b, where

  • m is the rate of change (slope)
  • b is the initial value(value of y at x = 0)
  • x is the independent variable
  • y is the dependent variable

∵ The equation of the line is y = -3 x - 7

- Compare it with the form above

∴ m = -3

∵ m is the rate of change

∴ The rate of change is -3

∴ b = -7

∵ b is the initial value

∴ The initial value is -7

∵ y depends on x

∴ x is the independent variable

∴ y is the dependent variable

x is the independent variable.

y is the dependent variable.

-3 is the rate of change (slope)

-7 is the initial value.

Learn more:

You can learn more about the linear equations in brainly.com/question/4152194

#LearnwithBrainly

7 0
3 years ago
an airplane travels 600 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. find the rat
vesna_86 [32]

Answer:

The speed of wind is 75 miles / hour

Step-by-step explanation:

Let's assume

speed of airplane is x miles /hour

speed of wind is y miles /hour

An airplane travels 600 miles against the wind in 4 hours

against wind means resultant speed will be less

so, speed =x-y

total distance traveled in 4 hour is

and this has to be equal to 600

Divide both sides by 4

makes the return trip with then same wind in 2 hours

with wind means resultant speed will be more

so, speed =x+y

total distance traveled in 2 hour is

and this has to be equal to 600

Divide both sides by 2

So, we get system of equations

now, we can solve it by adding both equations

now, we can solve for x

now, we can  find y by plugging x into any one equation

4 0
1 year ago
Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of so
lesya692 [45]
X:  # of pairs of socks; y:  # of blouses
Then $2.99x+$12.99y=$43.92.
5 0
2 years ago
Read 2 more answers
Please awnser this question in the image
tatiyna

Answer:

The answer is B! :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. Consider the function f(x) = x² – 9. Algebraically determine the domain of y = Vf(x) . State using set notation.
AfilCa [17]

Answer:

-3<x<3

Step-by-step explanation:

let y=0

0=x^2-9

0=(x+3)(x-3)

x=-3 and x=+3

8 0
3 years ago
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