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satela [25.4K]
2 years ago
7

In 1991, the moose population in a park was measured to be 1900. By 1997, the population was measured again to be 3600. If the p

opulation continues to change linearly: Find a formula for the moose population, P, in terms of t , the years since 1990. P = What does your model predict the moose population to be in 2007?
Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
8 0

Answer:

Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)

The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.

Step-by-step explanation:

.

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6x-3y =15<br><br><br> (System of Equations)
Vadim26 [7]

Answer:

x= 5/2 + y/2

Step-by-step explanation:

So yeah... that's the answer

6 0
3 years ago
How do I solve questions 1,2 and 6?
Talja [164]

Answer:

<h2>1. P = 13.254</h2><h2>2. P = 6.64 + 2x</h2><h2>6. P = 10</h2>

Step-by-step explanation:

1.\\\text{The length of semicircle:}\\\\l=\dfrac{1}{2}d\pi\\\\d-diameter\\\\d=2.2\\\\\text{substitute:}\\\\l=\dfrac{1}{2}(2.2)\pi=1.1\pi\approx(1.1)(3.14)=3.454\\\\\text{The perimeter of the figure:}\\\\P=2(3.8)+2.2+3.454=13.254

2.\\P=2(3.32)+2x=6.64+2x

6.\\\text{Look at the picture.}\\\\P=4(2)+2(1)=8+2=10

7 0
3 years ago
Find the value of this expression if x = 3<br> and y = -1.<br> xy²<br> 5
kap26 [50]

Answer:

<h2><em><u>0.6 = 6/10 = 3/5 is the answer.</u></em></h2>

Step-by-step explanation:

0.6 = 6/10 = 3/5

is the answer

This is because you have to substitute.

Given:

x = 3

y = -1

Unknown:

Final Answer

(x*y^2)/5

((3)(-1*-1)/5

= (3*1)/5

<h2><em><u>= 3/5</u></em></h2><h2><em><u>= 6/10</u></em></h2><h2><em><u>= 0.6</u></em></h2><h2><em><u></u></em></h2>

Hope this helped,

Kavitha

6 0
3 years ago
Sarah bought 3 1/2 pints of blueberries to make jelly. She ate 3/4 of a pint of berries on her way home. How many pints of berri
AnnyKZ [126]

Answer:

11/4 or 2.75 pints

Step-by-step explanation:

We want to find the difference between the original amount of blueberries and the amount she ate

original amount-amount ate

3 1/2 -3/4

To subtract, we need common denominators

The common denominator of 2 and 4 is 4

3 1/2=7/2

Multiply by 2/2 to get a common denominator of 4

7/2*2/2=14/4

Now, we have common denominators and can subtract

14/4-3/4

Subtract the numerators, and leave the denominators as 4

11/4 =2.75

She has 11/4 or 2.75 pints left

8 0
3 years ago
-7•(-9) <br><br> need help on this one with full work including
Veseljchak [2.6K]

Answer:

-7×-9

=63

Step-by-step explanation:

If u multiple - with -, I'll get + sign

6 0
3 years ago
Read 2 more answers
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