Answer:
a = 2x, b = 3.
Step-by-step explanation:
8x^3+27 = (2x)^3 + 3^3
a = 2x and b = 3.
We can cube root 8x^3 getting 2x and cube root 27 getting 3.
Looks like you just evaluated the summand for the given value of
, whereas the question is asking you to find the value of the sum for the first
terms.
Let
. Then
is the
th partial sum.
happens to be the first term in the series, which is why that box is marked correct:
But the next partial sum is not correct:
and this is not the same notion as the second term (which indeed is 0.75) in the series.
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.
So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.
There will be 40 mosquitoes after ten months.
Answer:
106 m^2
Step-by-step explanation:
First multiply the shaded area:
12 * 10 = 120
Then multiply the white space:
7 * 2 = 14
Then subtract the white space from the shaded area to find the area of only the shaded area.
120 - 14 = 106
Final answer: 106 m^2
I hope this helps!
I'd say the 3rd one. I haven't done this stuff in 2 years ... me forgot. But if it's not right, then the 1st one!
I want you to know you're smart and you can do this! Good luck!
