Answer:
The area of the shape (trapezoid) is 55 square feet.
Step-by-step explanation:
The formula to get the area of a trapezoid is 
. b1 is one of the bases, b2 is the other and h is the height.
First, you need to find the average of the bases:
(15+7=22)/2=11
Then, you multiply that by the height.
11*5=55
Lastly, you add the units.
55 square feet is the answer
Answer: true
Step-by-step explanation: first you divide its circumference by pi, which you then get 17.990. Round it to 18. Then use the diameter (18) and divide it by 2. You get 9.
Since a $5 decrease in price increases customers by 20 we can say that we have two points:
(125,100) and (120,120), from these we can find the slope or rate of change of customers as a function of price...
m=20/-5
m=-4
m=-4
c(p)=-4p+b, now we can use (125,100) to solve for b
100=-4(125)+b
100=-500+b
600=b, so our number of customers as a function of price is:
c(p)=600-4p
Revenue will simply be the number of customers times the price charged per customer...or p*c(p):
r(p)=600p-4p^2
We can find price that creates maximum revenue by finding when the derivative is equal to zero...
dr/dp=600-8p
dr/dp=0 only when
0=600-8p
8p=600
p=75
So the price that maximizes revenue is $75.
Answer:
Maybe 5. Tbh i.d.k i forgot how u do this.
Combine 2a^3+5a-7 and 5a^2-6a+12.
Rewrite this so that the second expression is beneath the first:
2a^3+5a-7
5a^2-6a+12
Combine like terms. The highest order term is 2a^3:
2a^3+0a^2 +5a-7
+5a^2 - 6a+12
----------------------------
2a^3 + 5a^2 - a + 5 (answer)
Note how these terms are in descending order by power of a.
