s(t) = 65+24sin(0.3t)
where t is measured in hours since 5:00
a.m
3-hour period from 7:00 a.m. to 10:00 am
5 am to 7 am = 2 hours
5 am to 10 am = 5 hours
To find the number of tons we take integral of 2 to 5 of s(t)
∫ 2 to 5 s(t) = ∫ 2 to 5 (65+24sin(0.3t))
∫65+24sin(0.3t) dt = 65t - 80 cos(0.3t) + c
Now we plug in the bounds 2 and 5
∫ 2 to 5 (65+24sin(0.3t)) = 255.36787 = 255.268
255.268 tons of sand are added to the beach over the 3-hour period
u could do this in world lauguages
Answer:
This is the associative property
Step-by-step explanation:
Answer:
infinite number of solutions
Step-by-step explanation:
x+y=1
3y=-3x+3 ⇒ y=-x+1 ⇒ y+x=1
both equations are the same, so they have infinite number of solutions
The probability that his or her drink will be a medium is 0.48
<h3>Definition of Probability </h3>
This is a likelihood or chance that an event will occur.
- Probability = Expected/Total
Since there are 100 customers, hence the total outcome will be 100
Total customers that drank medium = 48 + 12 = 60
Pr(customers will drink medium) = 48/100 = 0.48
Learn more on probability here: brainly.com/question/25870256