Calculate the 5th term of the sequence which has this explicit formula: an=3/2n(2n+5), n=1,

a. 63/64
b. 39/8
c. 17/4
d. 9/2

D. 9 ÷ 2

Step-by-step explanation:

For getting the nth value of the sequence we simply put the value of n in a formula.

In the given sequence for finding the 5th term we simply put n = 5 in given explicit formula:

We have

Putting n = 5

⇒

⇒

Thus, option (D) is correct.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950