Step-by-step explanation:
1) for t = 0, the initial value is -0.45 gal. which is funny. when it is really cold, do people add water to the tank somehow instead of consuming water ?
so I guess, that system is really reliable with values greater than 0.
0.0875t = 0.45
t = 5.142857143...°
so, I guess, 6° is the lowest reasonable value for this function.
2) as for any line function, the slope is the rate of change.
so, 0.0875 gal more per 1 degree more in temperature.
3) t = 90
w = 0.0875×90 - 0.45 = 7.425 gal
Answer:
Step-by-step explanation:
Given that a cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters.
Std deviation =0.015 litres
X- litres contained in a bottle is N(2.02, 0.15)
Z score is obtained as 
a) probability a bottle will contain between 2.00 and 2.03 liters
=P(2<x<2.03) = P(-1.33<Z<2)
= 0.4082+0.4772
=0.8854
b) P(X<2) = P(Z<-1.33) =0.5-0.4082 = 0.0918
c) 2% of containers
|z|<0.11
X lies between 0.6883 and 3.352 l
Factors for 3: 1 and 3
Factors for 5: 1 and 5
Factors for 14: 1, 2, 7, and 14
Given:
x = number of hours
y = total number of pages
70 = number of pages already read
30 =number of pages read per hour
y = 30x
70 = 30x
70/30 = 30x/30
2 1/3 = x
You read 70 pages within 2 hours and 20 minutes.
y = 30x
y = 30(3)
y = 90
An additional 90 pages have been read after another 3 hours.
Total pages read.
y = 30(2 1/3) = 70 pages
y = 30(3) =<u> 90 pages</u>
160 pages within 5 hours and 20 minutes.
Answer:
First we need to calculate ∠R
Since ∠R is one of three angles of ΔRDJ, we have:
∠R + ∠D + ∠J = 180°
∠R = 180° - ∠D - ∠J
∠R = 180° - 83° - 39° = 58°
Since ΔRDJ ~ ΔTRB, we can con conclude that:
∠R = ∠T
Because ∠R = 58°
=> ∠T = 58°