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omeli [17]
3 years ago
10

How do you solve this

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0
3⁽ˣ+ ₂⁾ =10 . TO SOLVE USE LOG NEERIAN ln (which base =e)

e⁽ˣ⁺²⁾lⁿ⁽³⁾ =e¹⁰ [the exponent on the 1st e is (x+2)ln(3)]

(x+2)ln3=ln10
xln3 + 2ln3 = ln10
x.ln3 = ln10-2ln3 and x =(ln10-2ln3)/ln3 =(2.302585-2.097224)/1.098612
x= 0.095903
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The fox population in a certain region has a relative growth rate of 4% per year. It is estimated that the population in year 20
den301095 [7]

Answer:

a) P(t) = 17900e^{0.04t}

b) The population estimated in 2008 is of 24651.

Step-by-step explanation:

The population growth model may be given by the following exponential function:

P(t) = P_{0}e^{rt}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

(A.) Find a function that models the population t years after 2000 (t=0 for 2000)

We have that:

P_{0} = 17900, r = 0.04. So

P(t) = P_{0}e^{rt}

P(t) = 17900e^{0.04t}

(B.) Use the function from part A to estimate the fox population in the year 2008.

2008 is 8 years after 2000. So:

P(8) = 17900e^{0.04*8} = 24650.5

The population estimated in 2008 is of 24651.

3 0
3 years ago
Charlie needs to make a total of 40 deliveries this week. So far he has completed 32 of them. What percentage of his total deliv
xz_007 [3.2K]

Answer:80%


Step-by-step explanation:

He needs to make 40 deliveries and he has allready done 32.

if 40 is the 100%

32 is 80%

Using Algebra:

40   -   100%

32  -     x%

Therefore:

X%= 32*100%/40 = 80%

7 0
3 years ago
A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

((x_1, y_1) and (x_2, y_2) are the two points)


The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

D = \sqrt{(-1 - 2)^2 + (5 - 5)^2

  • Substitute values into formula

D = \sqrt{(-3)^2}

  • Combine like terms and then simplify 0^2 to 0

D = \sqrt{9}

  • Compute (-3)^2 = 9

D = 3

  • Compute \sqrt{9} = 3

The length of DC is 3.

7 0
4 years ago
Solve for f(-3)<br><br> f(x)=5-x<br><br> f(-3)= ?<br> pls helpppp
RoseWind [281]
F(-3) = 8

Plug -3 into x and just solve it.
5 0
3 years ago
What is the result when -2.5 is divided by 1.8?
weeeeeb [17]
- \frac{25}{10}÷\frac{18}{10}
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Which is ≈ 1.389
3 0
3 years ago
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