Answer:
Step-by-step explanation:
as you can see something amazing happens in 10 in this function . If you replace x with 10 you get 1/0 wich an indetermined form in Mathematics.
Now we are sure that there is a vertical asymptote in 10. Let's see identify the limit in the left of 10.
let's assign some values to x that are smaller than 10.
1. x=9
1/(9-10)= -1
a negative value
2. x=8
1/(8-10)= -1/2
a negative value
let try a reallu colse value to 10 like 9.99
1/(9.99-10)=-100
a negative value
so we can deduce that the limit is -∞
lim [1/(x-10)]=-∞
x→10-
1.) 1 ÷ 4 =0.25 + 9= 9.25
2.) 9.25 + 5.00 = 14.25
Answer:
A) Vol_10_cubes = 2*(5^4) inch^3
B) Area_10_cubes = (2^2)*3*(5^3) inch^2
Step-by-step explanation:
A)The volume of a cube, as all sides are equal:
Vol_cube = (side)^3
side = 5 inches
Vol_cube = 5^3 inch^3
Since we have 10 cubes
10 = 2*5
Vol_10_cubes = 2*(5^4) inch^3
B) A cube has six faces, each with area equal to its squared side
Area_cube = 6*(side)^2
Area_cube = 6*(5)^2 inch^2
Area_10_cubes = 2*5*6*(5)^2 inch^2
Area_10_cubes = (2^2)*3*(5)^3 inch^2
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Answer:
25150
Step-by-step explanation:
First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)
So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.
To do this without spending hours writing them down, we can use this formula:
If we plug in our values, we have:
S = 50 * (8 + 495) = 50 * 503 = 25150
