Answer:
38.62
Step-by-step explanation:
You can figure this out by converting these to a positive number, then subtracting the lower number from the higher number.
1320 ft out of a mile. 5280 feet in a mile so
1320/5280
keep simplifying until you get to 1/4
Answer:
45 sq. units
Step-by-step explanation:
We can draw a segment from F to S, splitting this figure into a rectangle and a triangle.
The area of a rectangle is given by the formula A=lw, where l is the length and w is the width.
The width of this figure is the distance of FW; this is 2. The length of this figure is the distance of WC; this is 9. This makes the area of the rectangle A=2(9) = 18 sq. units.
The area of a triangle is given by the formula A=1/2(b)(h), where b is the base and h is the height.
The base of the triangle is given by the distance of FS; this is 9. The height of the triangle is given from N to segment FS; this is 6. This makes the area of the triangle A=1/2(6)(9) = 27 sq. units.
This makes the total area 18+27 = 45 sq. units.
Answer:
Step-by-step explanation:
-20=2(n-3)
-20=2*n-2*3
-20=2n-6
-20+6-2n
-14/2=n
-7=n
Answer:
The infinite series 
indeed converges.
Step-by-step explanation:
The limit comparison test for infinite series of positive terms compares the convergence of an infinite sequence (where all terms are greater than zero) to that of a similar-looking and better-known sequence (for example, a power series.)
For example, assume that it is known whether 
converges or not. Compute the following limit to study whether 
converges:
.
- If that limit is a finite positive number, then the convergence of the these two series are supposed to be the same.
- If that limit is equal to zero while
converges, then 
is supposed to converge, as well. - If that limit approaches infinity while does not converge, then won't converge, either.
Let denote each term of this infinite Rewrite the infinite sequence in this question:
.
Compare that to the power series where 
. Note that this
Verify that all terms of are indeed greater than zero. Apply the limit comparison test:
.
Note, that both the square root function and fractions are continuous over all real numbers. Therefore, it is possible to move the limit inside these two functions. That is:
.
Because the limit of this ratio is a finite positive number, it can be concluded that the convergence of 
and 
are the same. Because the power series converges, (by the limit comparison test) the infinite series should also converge.
