Moira does one-half if a homework assignment on monday. in tuesday, wednesday, and thursday, she does one-half of the homework she has left over from the day before. write and evaluate an expression using exponents to find the fraction of the original assignment moira will have to do on friday in order to completely finish her homework.

On Monday, Moira doees 1/2 her homework. (1/2 remains)

On Tuesday, Moira does 1/2 of 1/2 = 1/4 of her homework. (1/4 remains)

On Wednesday, Moira does 1/2 of 1/4 = 1/8 of her homework. (1/8 remains)

On Thursday, Moira does 1/2 of 1/8 = 1/16 of her homework. (1/16 remains)

On Friday, she must do the remaining homework: 1/16 of the original amount.

Using exponents, the homework (hn) that Moira accomplishes on day n is

... hn = (1/2)^n

Since Moira does half each day, the amount left undone is equal to the amount done. The amount left undone on Thursday (for Friday) is equal to the amount done on Thursday:

... h4 = (1/2)^4 = 1/16

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Perhaps you're to sum the amounts done and subtract that from the total. That's going at it the long way around, but will get you the same result.

(Needed to be done on Friday) = 1 - ∑[n=1,4] (1/2)^n = 1 - (1/2)((1/2)^4-1)/(1/2 -1)

... = (1/2)^4 = 1/16

The sum of n terms of a geometric sequence is given by

Here, we have = 1/2 and r = 1/2. Then the sum of 4 terms is as shown above.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: