Answer:
927.3 feet per hour
Step-by-step explanation:
first determine how many seconds are in one hour
there are 60 seconds in one minute and 60 minutes in one hour
so there are 60x60, or 3600 seconds in one hour
now you can create a proportion of inches/seconds = inches/seconds
let 'x' = inches per hour
34/11 = x/3600
cross-multiply to get:
11x = 3600x34
11x = 122,400
x = 122,400/11
x = 11,127.3 inches per hour
to determine how many feet per hour you must divide 11,127.3 inches by 12
this equals 927.3 feet per hour
Answer:
x=2
Step-by-step explanation:
x^3=8
x=2 (take the cubed root of both sides)
This can be solved by adding 8 to both sides, then taking the cubed root of both sides
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
.04 hundredths. I cant believe i am still doing this in middle school.<span />
Answer:
6500
Step-by-step explanation:
