Distance to the cabin is 'D' .
Distance = (speed) x (time)
Distance going = 30 H
Distance coming back = 36 (H - 1)
Distance is the same in both directions.
30H = 36(H - 1)
Eliminate parentheses: 30H = 36H - 36
Add 36 to each side: 30H + 36 = 36H
Subtract 30H from each side: 36 = 6H
Divide each side by 6 : 6 = H
It took 6 hours to go, 5 hours to come back,
and the trip was 180 miles each way.
6 x 30 = 180
5 x 36 = 180 yay !
Notice that 180 is the least common multiple (LCM)
of 30 and 36 . I'll bet that could have helped us if
we were all wide awake when we read the question.
Replace x with 2+i and solve
Remember that i is the square root of -1
My phone automatically capitalizes I, so don’t be confused by that!
y=(2+I)^2 + 3(2+I) +5
y=4+4i-1+6+3i+5
y=7i+14
The value of “n” will be a whole number of at least 15 or above. 0 is a whole number, but negative numbers are not whole numbers. 14 would not work, since then that would make the difference -1.
1.
Answer D.
2.
From secant theorem, we know, that:
and from picture:
So we can calculate:
Well the expected value is 0 dollars for the green and also the red chips. 10 dollars is expected if you pick blue chips and 5 dollars for purple chips. I hope that this helps