Answer:
Hamid will take 8 hours and 20 minutes to read 375 pages of the book.
Step-by-step explanation:
Given that Hamid has read 60 pages of the book he will be using for a book report, if he reads 45 pages per hour, to determine how many hours will it take him to read at least 375 pages of the book the following calculation must be done:
375/45 = X
8.3333 = X
0.333 x 60 = 20
Thus, Hamid will take 8 hours and 20 minutes to read 375 pages of the book.
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Answer:
8.9
Step-by-step explanation:
Parenthesis are always first so,
4.5+7.6=12.1
so the problem would look like this now:
12.1-8/2.5
so convert 8/2.5 to 8÷1/5÷2 so this will become 16/5
16.5 concerted to decimal=3.2
so 12.1-3.2=8.9
Answer:
the range is 24
Step-by-step explanation:
subtract take 7 from 31
Answer:
8
Step-by-step explanation:
m=30 n=1/4
0.1*30+8-12*1/4
3+8-12*1/4
=3+8-3
=8
