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oksian1 [2.3K]
3 years ago
9

Help , please and thanks

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0
The first 3 , after 2 and 6
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11. The doubling time of a population of plants is 12 years. Assuming that the initial population is 300 and that the rate of in
Anastasy [175]

Answer:

The population will be of 2400 in 36 years.

Step-by-step explanation:

The equation for the population of plants after t years follows the following format:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial amount of plants and r is the yearly rate which it increases.

Assuming that the initial population is 300

This means that P(0) = 300.

The doubling time of a population of plants is 12 years.

This means that P(12) = 2*300 = 600.

We use this to find r.

P(t) = P(0)(1+r)^{t}

600 = 300(1+r)^{t}

(1+r)^{12} = 2

\sqrt[12]{(1+r)^{12})} = \sqrt[12]{2}

1 + r = 1.05946

So

P(t) = 300(1.05946)^{t}

How large will the population be in 36 years

This is P(36)

P(t) = 300(1.05946)^{36} = 2400

The population will be of 2400 in 36 years.

6 0
3 years ago
1 point
Kamila [148]

Answer:

angle 3 = 27 degrees

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Joaquin has a total of 12.5 hours of football practice after school five days a week. How many hours of practice will he have fo
GREYUIT [131]

Answer:

55 hours in 22 days

Step-by-step explanation:

12.5/5 = h/d

12.5/5 = h/22

5h=275

h=55

4 0
3 years ago
A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp
Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06



Discussion:

From the triangle, not drawn too accurately  (see attachment)


sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06


Thank you,

MrB

6 0
3 years ago
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C, to the number of gallons of ga
melisa1 [442]

Answer:

The equation will be:

  • C = 2.75g

Step-by-step explanation:

Given that at one station, gas costs $2.75 per gallon.

Let 'g' be the number of gallons of gas purchases

Let 'C' be the total cost

Thus, the expression for total cost can be generated by multiplying the price per gallon by the number of gallons.

Thus,

C = 2.75g

Therefore, the equation will be:

  • C = 2.75g
6 0
3 years ago
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