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marissa [1.9K]
3 years ago
14

A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=5

0e.85t, where t is in years.
a) What will be the population in 2015?
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

the population in 2015 is 8201.0695

Step-by-step explanation:

Given that

There is a population of the 50 timber wolves

And, the exponential function given is

p(t) = 50 × e^(0.85 × t)

Here t denotes the time period i.e.

= 2015 - 2009

= 6

So,

= 50 × e^(0.85 × 6)

= 8201.095

Hence, the population in 2015 is 8201.0695

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A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4
vovikov84 [41]

Answer:

18

Step-by-step explanation:

First I'm making all mixed numbers improper fractions.

Base recipe: 12 muffins = 2/3 milk + 7/4 flour + 1/4 coconut + 3/4 apple

Change: 9/8 apple

On second look, I ddn't need to do that except for the last one, the change in apple.  When increasing things proportionally you basically multiply everything by the same number.  A simple example.

Say a recipe made 10 of something with 1 of ingredient A and 2 of ingredient B.  Well, what if you made the recipe twice?  that would be 20 things from 2 of A and 4 of B.  This is the same as changing the recipe to make double.  It works if you halve things as well, or multiply by any number or fraction.

So the point is, we changed the amount of apples.  We want to know how much we changed it by, then that much is how much the total number of muffins changes.  So if we doubled apples the muffins would double, but I don't think it's that simple.

Started at 3/4 cup of chopped apple and increased to 9/8 cups.  We want to know what to multiiply by to do this.  So we set up a simple algebraic equation.

(3/4)x = 9/8

where x is what we multiply by.  Now, to do this you could do one step, divide by 3/4 or you could do it in two steps, multiply both sides by 4 then divide by 3.  Or the other way around.  Either way you will get the same number.

(3/4)x = 9/8

3x = 9/2

x = 3/2

And you can (and should) double check

(3/4)x = 9/8

(3/4)(3/2) = 9/8

9/8 = 9/8

Yay!  If you don't gt fraction multiplication let me know.  But the recipie is an increase of 3/2 or 1.5, so there will be 1.5 as many muffins.

12*1.5 = 12(3/2) = 18

4 0
3 years ago
Read 2 more answers
The ratio 6:7 can also be written as 7/6 <br> True or false
zloy xaker [14]
I think the answer is false✨
5 0
3 years ago
Pls help 100 points
mr_godi [17]

Answer:

0,5X + (-2), but you have to solve it... I give you the equation.

Step-by-step explanation:

In part A you have to find the equation of the line, so you do end - origin and you'll find m. I can only help you with the first one.

so:

(8,2) and (10,3)

(10-8,3-2) = (2,1)

V2/V1= 1/2= 0,5=m (slope of the line)

y= mx+n (change y, x and m with the ones above)

2= 8·0,5+n

2= 4+n

n= 2-4=-2

the equation is: 0,5X + (-2) and then you just have to change x in both equations,  the second one is the h(x) adn it will give you the answer to A.

I hope I'm being helpful..!!!

5 0
3 years ago
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