I'm guessing the series is supposed to be

By the ratio test, the series converges if the following limit is less than 1.

The first

terms in the numerator's denominator cancel with the denominator's denominator:


also cancels out and the remaining factor of

can be pulled out of the limit (as it doesn't depend on

).

which means the series converges everywhere (independently of

), and so the radius of convergence is infinite.
The arrangement forms an isosceles triangle with equal legs of 8 mi. The angle between the legs is,
123-63 = 60°. Therefore, the other two angles ares:
Angles = (180-60)/2 = 120/2 = 60°
It can therefore be noted that all angles are equal and thus the resulting triangle is actual an equilateral triangle and thus all the sides are equal.
It can be concluded that the ships are 8 miles apart.
Answer:
Translation then Reflection
Step-by-step explanation:
Step 1 to 2 is Translation
Step 2 to 3 is Reflection
Answer:
B.

Step-by-step explanation:
5x - 3 = y then 5x = y + 3 then x = (y + 3)/5
then the inverse function of f is : (x+3)/5
Answer:
A su mamá
= 2937 pesos
A su hermano
= 1566.4 pesos
El resto para ella
= 3328.6 pesos
Step-by-step explanation:
El número total de pesos que cada uno consiguió se calcula como:
Su madre
= 3/8 del total
= 3/8 × 7832
= 2937 pesos
Su hermano
= 1/5 del total
= 1/5 × 7832
= 1566.4 pesos
Sí misma
= El resto
= 7832 - (2937 + 1566,4)
= 7832 - 4503.4
= 3328.6 pesos