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olga55 [171]
3 years ago
13

6, -18, 54, ... what is the equation for the sequence give the 14th term

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

  -9,565,938

Step-by-step explanation:

The first term of this geometric sequence is 6. Its common ratio is -3. The n-th term is given by ...

  an = (6)(-3)^(n-1)

Then the 14th term is ...

  a14 = 6·(-3)^(14-1)

  a14 = -9,565,938

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The following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10
Oksanka [162]

The distance from their house the Bensons' after 412 hours will be 18, 640 miles

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

A function is an expression or rule that explains the relationship between a dependent and independent variable.

Given the function;

d= 45 t + 100

Where;

  • d is the total distance
  • t is the time taken

If t = 412 hours

Substitute into the formula

d = 45 ( 412) + 100

d = 18540 + 100

d = 18, 640 miles

Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles

Learn more about functions here:

brainly.com/question/2456547

#SPJ1

6 0
2 years ago
Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows
gavmur [86]

The solution to the system of equations is (-3, -5) because the point satisfies both equations

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

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

Line A:

y = x − 2  (1)

Line B:

y = 3x + 4   (2)

Solving both equations simultaneously gives:

x = -3, y = -5

The solution to the system of equations is (-3, -5) because the point satisfies both equations

Find out more on linear function at: brainly.com/question/4025726

6 0
2 years ago
Please help on this (giving brainliest)
Dafna11 [192]

Answer:

81 cubic feet of wood

Step-by-step explanation:

Divide it into 5 sections, each 3 feet long because it is 15 feet long.

(1*3*3) + (2*3*3) + (3*3*3) + (2*3*3) + (1*3*3) =

9 + 18 + 27 + 18 + 9 = 81

7 0
3 years ago
Help me with this as well i am struggling
Ilya [14]

Answer:

3

Step-by-step explanation:

see image

8 0
3 years ago
1/4(3c+5)-1/2(2c+3)=1/2<br><br> Please show some work so I can fiqure it out.
PIT_PIT [208]
So,

1/4(3c + 5) + -1/2(2c + 3) = 1/2

First, we distribute to get rid of the parentheses.  (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2

Now, we collect like terms.
-1/4c - 1/4 = 1/2

Add 1/4 to both sides.
-1/4c = 3/4

Now, multiply by the reciprocal (-4/1).
c = -3

Check your answer.

1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2

1/4(-9 + 5) + -1/2(-6 + 3) = 1/2

-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2

-1 + 1 1/12 = 1/2

1/2 = 1/2

4 0
3 years ago
Read 2 more answers
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