The given series is geometric with common ratio
, which converges if
(i.e. the interval of convergence). We have the well-known result

If you're not familiar with that result, it's easy to reproduce.
Let
be the
-th partial sum of the infinite series,

Multiply both sides by the ratio.

Subtract this from
to eliminate all the powers of the ratio between 0 and
.

Solve for
.

Now as
, the exponential term converges to 0 and we're left with

-8x-8y=0 (divide both sides by -8, you get:) x+y=0, x=-y
-8x2y=-20 (divide both sides by -16:) xy=20/16=5/4
plug the first simplified equation into the second one,
-y²=5/4...This does not have a solution, are you sure you typed the second equation correctly?
Answer:
Mandy should add the tens before she adds the ones.
Step-by-step explanation:
There are no other good answers and the correct answer is 82 pennies.
Answer:
A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.
Answer:
C. ∠M
Step-by-step explanation: