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sergeinik [125]
2 years ago
6

If t stands for the number of years since 2000 write an equation for the deer population p as a function of t

Mathematics
1 answer:
seraphim [82]2 years ago
3 0

Answer:

The population of deer after t years is given as function of t is  p × (1+\dfrac{\textrm r}{100})^{\textrm t}  

Step-by-step explanation:

Given as :

The number of years = t

The population of deer = p

Let The population of deer after t years = P

Let The rate of increase in population = r %

So,

The population of deer after t years = Initial population of deer × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

Or, P = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Hence The population of deer after t years is given as function of t is  p × (1+\dfrac{\textrm r}{100})^{\textrm t}    answer

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A rectangular solid with a square base has a volume of 5832 cubic inches. (Let x represent the length of the sides of the square
Aleks04 [339]

Answer:

a) 18 in x 18 in x 18 in

b) S = 1944\ in2

Step-by-step explanation:

a) Let's call 's' the side of the square base and 'h' the height of the solid.

The surface area is given by the equation:

S = 2s^2 + 4sh

The volume of the solid is given by the equation:

V = s^2h = 5832

From the volume equation, we have that:

h = 5832/s^2

Then, using this value of h in the surface area equation, we have:

S = 2s^2 + 4s(5832/s^2)

S = 2s^2 + 23328/s

To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:

dS/ds = 4s - 23328/s^2 = 0

4s = 23328/s^2

4s^3 = 23328

s^3 = 23328/4 = 5832

s = 18\ inches

The height of the solid is:

h = 5832/(18)^2 = 18\ inches

b) The minimum surface area is:

S = 2(18)^2 + 4(18)(18)

S = 1944\ in2

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The graph of f(x), shown below has the same shape as the graph has the same shape as the graph of g(x)=x^4-X^2 which contains th
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First of all it is always a good idea to graph a question like this one. Here are the three graphs 

y = x^4 - x^2                   Color: Red            This is the base graph
y = x^4 - x^2 -  4             Color Blue            This has - 4 added to it.
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Which one is correct? The red and blue one are not. The graph you want is plotted  upward from the base graph. The base graph (red nothing added to it) is not right because it has points on the x axis. The graph you want does not.

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