Answer:




Step-by-step explanation:
we are given

Calculation of A(4):
we can plug x=4

Since, this curve is below x-axis
so, the value of integral must be negative
and it is quarter of circle
so, we can find area of quarter circle
radius =4


Calculation of A(8):
we can plug x=8

we can break into two parts

now, we can find area and then combine them


Calculation of A(12):
we can plug x=12

we can break into two parts

now, we can find area and then combine them


Calculation of A(14):
we can plug x=14

we can break into two parts

now, we can find area and then combine them



6.71*108= 724.68 then divide that by 60 to see how far it goes per minute. Which is 12.078 then multiply by 90 so 1,087.02
X-1 + x + x+1 = 42
3x = 42
x = 14
the numbers are 13 14 and 15
Answer:
Suppose you have a gift certificate worth $20 for one long-distance phone call. If the charge is $1.10 for the first minute and $0.42 for each additional minute , what is the longest that you can talk?
20 - 1.10 = 18.9
18.9 / 0.42
= 45
Step-by-step explanation:
Answer: (s for small, l for large) s=15.25 kg, l=18.5 kg.
Explanation: We need a system of equation to find the two weights of both boxes.
We can use 4s+8l=209 and 2s+3l=86.
If we multiply the second equation by -2 (for elimination), we will have -4s-6l=-172.
Combing the first equation with this new one gives us 2l=37, where dividing by 2 gives us l=18.5 kg.
We can plug 18.5 into any of the two original equations to find s.
4s+8*18.5=209
4s+148=209
4s=61
s=15.25 kg