The vertex (5,39)
5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.
(5,39) vertex means that <span>Buying five of each type of plant costs $39, which is the lowest possible cost.</span>
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
Answer:
Let a be the first term.
The sum is a1−r=33.25.
The second term is ar=7.98, so a=7.98/r.
Putting these together, 7.98/r(1−r)=33.25 or r(1−r)=0.24=0.6×0.4.
If the answer doesn't jump out at you from there, you could solve for r with the quadratic formula.
Step-by-step explanation:
I Hope It's Helpful :)
Answer:
<h2>Second choice.</h2>
Step-by-step explanation:
The given inequality is
Let's solve for 
Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.
Therefore, the second choice represents the solution to the given inequality.
