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aivan3 [116]
3 years ago
11

The population of rabbits in a national forest is modeled by the formula P= 12,000 + 1000 (t+1) where t is the number of years f

rom the present. How many rabbits are now in the forest?
Mathematics
1 answer:
V125BC [204]3 years ago
4 0
In this formula, 1000(t+1) represents the growth rate of the rabbits.  We want the number right now, so sub in 0 for t.

P=12,000+1000(0+1)
P=12,000+1000
P=13,000 rabbits.
Hope this helps!!!
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Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x. (
True [87]
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.

So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))

now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16 

Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84

So we have our linear approximation for the two. 

If you wanted to, you could check your answer by finding g(x).  Since you know g'(x), take the antiderivative and we will get 
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35

So just to check our linear approximations use that to find g(2.99) and g(3.01)

g(2.99) = -5.1597
g(3.01) = -4.8397

So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer.  Not a bad method if you ever need to use it. 
5 0
3 years ago
What is the value of x?<br>45°<br>(2x - 5)°​
vichka [17]

Answer:

50

Step-by-step explanation:

2x25=50-5=45

7 0
3 years ago
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Juli2301 [7.4K]
31 miles per gallon
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What is the slope of the line x = 4?
rewona [7]
The slope is undefined because you need a y intercept as well.
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You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represent
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Answer:

6 Hours

Explanation:

Linear Equation: mx+b=y

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15x=100

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