Answer:
30
Step-by-step explanation:
Use PEMDAS
parentheses is first
3+7=10
There's no exponents
You have to do it in order from left to right
6÷2=3
3*10=30
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.
The answer is 54 degrees I took the exam I got it right
Answer:
x = 15
Step-by-step explanation:
We assume you want to find the value of x.
Know (or prove) that in this geometry, all of the right triangles are similar. That means the ratios of corresponding sides are proportional.
short side / hypotenuse = 9/x = x/25
x^2 = (9)(25) . . . . . . . . . . multiply by 25x ("cross multiply")
x = √((9)(25)) = (3)(5) . . . take the square root
x = 15
Answer: 8
Step-by-step explanation:
Since AB is a tangent, angle CAB is a right angle. Thus, by the Pythagorean theorem, 
