Step-by-step explanation:
(1\2)^4 x 1\16 x 1\8 x 1\4 [1/2^4=16]
1/16 x 1/512
=>1/2048
Answer:
49.
7×7=49.
Step-by-step explanation:
i did this. hope it helps
The answer would be 3, 2-2+3, I’m pretty sure.
Answer:
the rate of each train is 139 km/h and 159 km/h.
Step-by-step explanation:
let
v = the rate of the slower train
v + 20 = the rate of the faster train
d = 1490 km the distance that the two train will travel
t = 5 hr the time of the travel
since speed = distance/time => distance = speed*time
v*t + (v+20)t = d
5v + 5(v + 20) = 1490
5v+5(v+20)=1490
Step 1: Simplify both sides of the equation.
5v+5(v+20)=1490
5v+(5)(v)+(5)(20)=1490(Distribute)
5v+5v+100=1490
(5v+5v)+(100)=1490(Combine Like Terms)
10v+100=1490
10v+100=1490
Step 2: Subtract 100 from both sides.
10v+100−100=1490−100
10v=1390
Step 3: Divide both sides by 10.
10v/10 = 1390/10
v = 139km/h
Next
we add 139 to 20
139 + 20 = 159 km/h
the rate of each train is 139 km/h and 159 km/h.
Answer:
Two lines only can intersect if the lines are not parallel.
And given a linear equation:
y = a*x + b
Where a is the slope and b is the y-intercept, the general equation for a parallel line to this one is:
y = a*x + c
with the condition:
b ≠ c
So we need to have the same slope and a different y-intercept.
Then when we compare the linear function that represents the number of animals adopted with the linear function that represents the hours volunteers work at the shelter, you need to look if both equations have a different slope or not.
Let's describe the two cases:
If the lines have the same slope, then you need to see the y-intercept.
If the y-intercept is different, then the lines never do intersect.
If the y-intercept is equal, then both equations describe the same line (as both have the same slope and the same y-intercept).
If the lines have different slope, then we can conclude that the lines are not parallel, and the lines will intersect at some point.