Answer:
26 miles
Step-by-step explanation:
use pythagorean theorem to find that from post office to stevie's is 10 miles long( 6^2 + 8^2=100, and the square root of 100 is 10) then add the total distence together and get 8+8+10=26
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
Answer:
$28.80
Step-by-step explanation:
4.80 x 6 = 28.8
Hope this helped!
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the
distance in feet.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the
distance in feet.