Answer:
a1- 2 terms
a2- 6x, 9y
a3- 6,9
b1-2 terms
b2- 7x, 12x
b3- 7,12
c1- 3 terms
c2- 5x^2, 2y, 3
c3- 5,2,3
Step-by-step explanation:
a is the fifth term of a sequence. It represents the value of a depreciating
5 asset (your car) after 5 years have gone by since its purchase.
24,000 (really, $24,000) represents the initial value of the car.
(3/4) is the common ratio. Since (3/4) is between 0 and 1, we know the car is depreciating (losing value) each year, and that the value of the car at the end of this year is (3/4) times the previous value.
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<h3><u>Explaination :</u></h3>
In the question it is given that the length is 4 cm more than the width so let us assume the width as x.
Therefore,
- Length (l) = 4 + x
- Breadth = x
As we know the formula of calculating the perimeter of rectangle is,
Here,
- P is perimeter
- l is length
- b is breadth
Putting their respective values,
=> 14 = 2 (x + 4 + x)
=> 14 = 2 × (x + 4 + x)
=> 14 = 2x + 8 + 2x
=> 14 = 4x + 8
=> 14 - 8 = 4x
=> 4x = 6
=> x = 6 / 4
=> x = 3 / 2
=> x = 1.5
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Since the distance varies directly as the square of time, then its expression looks like this:

Where d is the distance, "k" is the proportionality constant and t is the time the object is falling. We know that after 6 seconds the stone travels 304 feet. With this information we can determine the value of "k".

Therefore the complete expression is:

We want to know the distance after 7 seconds, therefore t = 7.

The stone will travell approximatelly 314 feet in 7 seconds.