The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Answer:
-3x+6
Step-by-step explanation:
Again, you multiply -3 times x and you get -3x, then you multiply -3 times -6 and since you are multiplying two negative numbers the result becomes positive so you get +6. Result = -3x+6
Answer:
5.45%
Step-by-step explanation:
To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.
The RDA of Iron is given as 11 mg
From a 8 oz glass of grape juice, he gets 0.6 mg.
<em>What percent is 0.6 mg of total 11 mg??</em>
Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.
Answer:

Step-by-step explanation:
First, we calculate the unknown angle of the left triangle and right triangle:
Unknown angle for left triangle⬆️

Unknown angle for right triangle⬆️
Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:

The angle 65° and angle of x are vertical angle.(both are equal)
So... <u>x= 65°</u>
<em>hope it </em><em>helps </em><em>:</em><em>)</em>
Answer:
4y + 7 = 2
Step-by-step explanation: