Answer:
V=282.74in^3
Step-by-step explanation:
Volume of cylinder
V= TTr^2h
Where
TT=3.14
r=3
h=10in
V=3.14*3^2*10= 282.743in^3
Answer:
(b) 67
Step-by-step explanation:
A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...
T = (final temp) + (initial difference)×(decay factor)^t
where the decay factor is the fraction of change during 1 unit of time period t.
__
Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...
T = 25 +75(65/75)^t
Then for t=4, the temperature is ...
T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees
After 4 minutes the temperature of the coffee is about 67 degrees.
Answer:
The word "ARRANGE" can be arranged in
2!×2!
7!
=
4
5040
=1260 ways.
For the two R's do occur together, let us make a group of R's taking from "ARRANGE" and permute them.
Then the number of ways =
2!
6!
=360.
The number ways to arrange "ARRANGE", where two "R's" will not occur together is =1260−360=900.
Also in the same way, the number of ways where two "A's" are together is 360.
The number of ways where two "A's" and two "R's" are together is 5!=120.
The number of ways where neither two "A's" nor two "R's" are together is =1260−(360+360)+120=660.
Step-by-step explanation:
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Answer:
No each price is different
Step-by-step explanation:
4/20 gives you $5 a piece
6/37.50 gives you $6.25 per wand
10/65 gives you 6.50 per wand
Answer:
If I did my math correctly, They washed 15 cars on Sunday.
Step-by-step explanation:
50 cars = 100%
Therefore 1 car would be 2% because 50 is half of 100.
So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = <u>15 cars on Sunday</u>
With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday
Here is some extra data:
10% = 5 cars
20% = 10 cars
30% = 15 cars
40% = 20 cars
50% = 25 cars
60% = 30 cars
70% = 35 cars
80% = 40 cars
90% = 45 cars
100% = 50%
Basically, every 10% is +5 cars
