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4 years ago

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Mathematics

1 answer:

Phantasy [73]4 years ago

8 0

Answer:

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x.

Step-by-step explanation:

google it!!

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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

fredd [130]

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:

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

8 0

4 years ago

Help solve the proof! I need help with statements and reasoning

Vika [28.1K]

Answer:

the letter f isn't stated at all so f is a good choice

Step-by-step explanation:

6 0

3 years ago

Subtract eleven out of 27 and then add 9

Vesnalui [34]

(27 - 11) + 9 =

= 16 + 9

= 25

3 0

3 years ago

Read 2 more answers

1/2 ln (x+3) - ln x=0

ArbitrLikvidat [17]

Answer:

x ≈ 2.30277563

Step-by-step explanation:

5 0

3 years ago

Bob has 40 feet of fencing to enclose a rectangular garden. If one side of the garden is x feet long, he wants the other side to

Alla [95]

One way to do this is to try the different option to replace x. Let's start with 8. Two sides of the rectangle would be 8.
8*2=16
Now you have to take 16 from 40 to see what's left.
40-16=24
2(20-8)=2(12)=24
That means 8 is an option to use, but you still need to see if any of the other options work to find the greatest area.
9*2=18.......40-18=22.......2(20-9)=2(11)=22
9 would also work.
10*2=20.......40-20=20.......2(20-10)=2(10)=20
10 would work
11*2=22.......40-22=18.......2(20-11)=2(9)=18
So all of them would work. Now you just need to find the largest area, which is length x width.
x(20-x)
8(20-8)=8(12)=96
9(20-9)=9(11)=99
10(20-10)=10(10)=100
11(20-11)=11(9)=99
So if x is 10, It would make the largest area.

(Sorry for all the extra work. I never trust that all the answers would work for the perimeter)

8 0

4 years ago

Read 2 more answers