Answer:
After 9 years, the population reach 4000.
Step-by-step explanation:
The given function P(t) represents the size of a small herbivore population at time t (in years).
We need to find the number of years after which population reach 4000.
Substitute P(t)=4000 in the above function.
Divide both sides by 1000.
Taking ln on both sides.
![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)
Divide both sides by 0.16.
We need to find the number of years. So, round the answer to the next whole number.
Therefore, after 9 years, the population reach 4000.
Answer:
11 and 7
Step-by-step explanation:
let x be the bigger number and y the smaller
the sum of the two numbers is 18
x+y=18
x=18-y------i
the sum of the greater number and twice the smaller number is 25
x+2y=25----ii
substituting i in ii
18-y+2y=25
collecting like terms
y=25-18
y=7
subtitute for y in i to get x
x=18-y
x=18-7
x=11
Answer:
76
Step-by-step explanation:
a10=-5+9(10-1)=-5+9×9=-5+81=76
What do we know about those two lines?
They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)
For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]
So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
