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neonofarm [45]
3 years ago
10

At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e

ach year.Let t be the number of years since the start of the study. Let y be the area that the forest covers in km2.
Write an exponential function showing the relationship between y and t.
Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer:

A(t)=(0.902)^t \cdot 1500 [km^2]

Step-by-step explanation:

In this problem, the initial area of the  forest at time t = 0 is

A_0 = 1500 km^2

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0

After 2 years,

A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0

And so on. So, after t years, the area of the forest will be

A(t)=(0.902)^t A_0

And by substituting the value of A0, we can find an explicit expression:

A(t)=(0.902)^t \cdot 1500 [km^2]

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zvonat [6]

Answer:

y= 3, (-5/4)

Step-by-step explanation:

4y^2-7y=15

4y^2 - 7y -15

(y-3)(4y+5)

8 0
3 years ago
How do you find probability
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Answer:

Determine a single event with a single outcome. ...

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Step-by-step explanation:

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3 years ago
Few drivers realize that steel is used to keep the road surface flat despite the weight of buses and trucks. Steel bars, deeply
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Step-by-step explanation:

The options are:

A is expensive to build.

B usually cracks under heavy weights.

C looks like any other road.

D is reinforced with other material.

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4 0
2 years ago
Select each pair of functions that are inverses of each other
svlad2 [7]

Answer:

The first two choices only: A and B.

Step-by-step explanation:

The inverses are the ones with one relation having point (x,y) and the other relation having point (y,x). This most obvious when looking at points on a table or a list of points.

So the first pair are inverses because per point (x,y) on the first list you have (y,x) on the second list.

Examples:

1st list contains (-5,-9) while second list contains (-9,-5).

1st list contains (3,7) while the second list contains (7,3).

As long as (a,b) is in the first list and (b,a) is in the second or vice versa, then the pair of relations are inverses. So the first choice contains inverses.

Now lets talk about the pair of functions given in function notation.

Let's start with the first.

y=x+7

Extend the first idea more. Just swap x and y and then see after solving for y if what it equals is what g equals then f and g are inverses in the second choice.

x=y+7

Subtract 7 on both sides:

x-7=y

y=x-7

This is what g equals so the second choice is an answer.

The last choice does not contain a pair of inverses. Example: (2,3) is in the first list but (3,2) is not in the second.

6 0
3 years ago
Read 2 more answers
(15/8+2/5)+(-7/8) show ur work
stepan [7]
The answer is 7/5 th. You can add fractions without first having a common denominator so you would change the 8's by multiplying it by 5 to get 40 and you would multiply the 5 by 8 to get 40 as well. And the rule whatever you do to the bottom you have to do to the top so whatever you multiplied 8 by do the same for the numerator and whatever you multiplied 5 by you do the same for the numerator. So your new equation would be (75/40+16/40)+(-35/40). you would then add the numerator's across to get 56 and the denominator would stay the same so the answer is 56/40. But you have to now simplify 56/40 down to 14/10 and then once more to 7/5 which is the final answer.
6 0
3 years ago
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