Answer:
76.25°
Step-by-step explanation:
The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...
T = 80 +65((95-65)/(145-65))^(t/30)
T = 80 +65(3/8)^(t/30)
That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.
Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...
11.25° +65° = 76.25°
after 30 minutes.
Answer:
The total length of fencing needed to enclose the kennel 74 feet.
Step-by-step explanation:
Given:
The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.
As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e
To find:
Total length of fencing needed is to enclose the kennel. i.e
Perimeter of a rectangular kennel = ?
Solution:
we have the formula for perimeter of a rectangle as giving below.
Therefore,the total length of fencing needed to enclose the kennel 74 feet.
A.
I=prt
I=(3800)(.055)(4/12)
I=$69.67
b.
Principal-interest=money received from Bank
3800-69.67=$3730.34
c.
I=prt
69.67=3730.34(r)(4/12)
69.67=1243.45r
69.67/1243.45=1243.45/1243.45r
.056≈r
Rate is 5.60%
Answer:
10/21
Step-by-step explanation:
After the first balloon is gone, there is only 21 balloons left with 10 being yellow. Therefore, the is a 10/21 probability that it is yellow.
