Step-by-step explanation:
1)X represents the time he spent in cardio.
Y represents the time he spent in weighted.
2)If you could put the options on the second one it would be better.
3)4x+y=210
3x+2y=195
y=210-4x
3x+2(210-4x)=195
3x+420-8x=195
5x=420-195
5x=225
x=45
y=30
Total time of one cardi and weighted = 75min= 5/4 h.
4)2x+4y=
90+120=210 total time of week three.
1.25x=91.25 now solve for x and we get x=73 so Mr. Villa can do 73 labels
Answer:
3π in^2
Step-by-step explanation:
Area of the circle before folding = π r^2
= 6^2 π
= 36 π is^2
The area of the resulting shape = 1/2 * 1/2 * 12π
= 3 π in^2.
The mean is 85*0.39 = 33.15, while the standard error is sqrt(0.39*0.61/85) = 0.0529. Using the z-score of 1.96, the confidence interval is:33.15 +/- 1.96*0.0529 = (33.05, 33.25)By dividing by 85, this corresponds to a proportion of:(0.3888, 0.3912)
Answer:
Step-by-step explanation:
Rate of leakage, R(t) = 1400 e^0.06t gallons/h
fraction remains , S(t) = e^(-0.32t)
initial contaminant = 1000 gallon
gallons contaminant present after t hour is S(t) R(t)
G(t) = S(t) R(t)
Put t = 18 hours
Taking log on both the sides
ln G = ln 1400 - 0.26 x 18
ln G = 7.244 - 4.68
ln G = 2.564
G = 13 gallons
