Answer:
15) Option B. 3
16) Option H. 144
17) Option B. -21
18) Option H. a^4 + 2
19) Option E. -18
20) Option G. 60
Step-by-step explanation:
15) 217/4 = 54 with a remainder of 1
217 = 4 ⋅ 54 + 1
So, the 217th digit after the decimal point of 0.3456 is one of the 4n+1st digits (with n=54) and must be 3.
16) a = 1/2, p = 1/16 * 48^2
= 144cm^2
17) when you solve the equation x^2 + 4x - 21 = 0 you get two solutions.
one is x = 3 and the second one is x = -7. The question is asking for the product so you will multiply these two x values. 3 * -7 = -21.
18) the factors of a^16 - 16 are: (a^8 + 4) (a^4 + 2) (a^4 -2)
Out of these factors that we get, (a^4 + 2) is the only polynomials listed in the answer choices.
19) 2n - 5 / n when n = 1/4
= 2(1/4) - 5 / 1/4
= -18
20) The machine is reading 40 pages in 1 hour, how many will it read in 90 minutes?
So, there are 60 minutes in an hour and the machine is reading 40 pages in 60 minutes. Meaning it is reading 20 pages in half an hour. So 20 + 20 = 40, so we are correct, the machine is indeed reading 20 pages in 30 mins. 90-60 mins = 30 mins.
How many pages is it reading in 30 mins? 20 right. So 40 + 20 = 60
The machine will read 60 pages in 90 mins.
