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Xelga [282]
3 years ago
13

HELP PLEASE!!!

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0

Answer:

The population of Bear in 2050 is 4750000

Step-by-step explanation:

A) The exponential growth equation for bear is as follows -

dN/dT = rmax * N

Where dN/dT = change in population

rmax is the maximum rate of change

N = Base population

B) Here the per capita rate of increase (r) will always be a positive value irrespective of the and hence we will assume this population to be growing exponentially.

C) dN/dT = rmax * N

D) dN / 5 = 2.5 * 380,000

dN = 5*2.5 * 380000

= 4750000

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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
I got a tricky one
Yuliya22 [10]

Answer:

D. f(-3) = 11

Step-by-step explanation:

When f(x) is divided by x+3, you get a quotient g(x) and a remainder of 11:

f(x) / (x + 3) = g(x) + 11 / (x + 3)

Multiply both sides by x+3:

f(x) = g(x) (x + 3) + 11

Substitute -3 for x:

f(-3) = g(-3) (-3 + 3) + 11

f(-3) = g(-3) (0) + 11

f(-3) = 11

4 0
3 years ago
What is the circumference of the circle with radius 8cm in terms of ?
Verizon [17]

Answer:

Step-by-step explanation:

C = 2\pi *r\\r = 8cm\\C = 2*\pi*8\\C = 16 \pi cm

6 0
3 years ago
Read 2 more answers
A tissue box has a lentgh of 11 inches a width of 5 inches and a height of 4 inches
Leya [2.2K]
168 cubic inches

or 180cm3
6 0
2 years ago
Find the inverse f^-1(x) if f(x)=x+2
stiks02 [169]

Answer:

f^-1(x) = x - 2

Step-by-step explanation:

To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.

x = y + 2

-2 both sides.

x - 2 = y

y = x - 2

The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).

f^-1(x) = x - 2

I hope you find this helpful. :)

3 0
3 years ago
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