Answer:
i believe that it is a function.
Step-by-step explanation:
you do not have any of the exact same numbers with arrows ot one another.
I’m not good at maths thank me later
Answer:
c.132
Step-by-step explanation:
so we are given the diameter which is 42m **the diameter is the straight line that passes through the middle of the circle**
but in order to find the circumference we need to find the radius **the radius is always half (1/2,0.5) of the diameter**
so we have to divide 42/2 which equals 21
now we need to set up the formula;
c=2πr/c=2xπxr **when unknown variables such as 'r' are next to another mathematical numeral such as the pi symbol you don't really have to but the multiplication symbol between them**
c=2π21
=131.946891451
and in your case, it seems we must round to the tenths place so the nine then "becomes a ten" and you're left with 132
good luck :)
i hope this helps
have a good one !!
Answer:
![-\dfrac{4a^{12}b^8}{5}](https://tex.z-dn.net/?f=-%5Cdfrac%7B4a%5E%7B12%7Db%5E8%7D%7B5%7D)
Step-by-step explanation:
The applicable rules of exponents are ...
![\dfrac{1}{a^{-b}}=a^b\\\\a^ba^c=a^{b+c}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Ba%5E%7B-b%7D%7D%3Da%5Eb%5C%5C%5C%5Ca%5Eba%5Ec%3Da%5E%7Bb%2Bc%7D)
Your ratio simplifies to ...
![\dfrac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=-\dfrac{4}{5}a^{8-(-4)}b^{-2-(-10)}\\\\=-\dfrac{4a^{12}b^8}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B-8a%5E8b%5E%7B-2%7D%7D%7B10a%5E%7B-4%7Db%5E%7B-10%7D%7D%3D-%5Cdfrac%7B4%7D%7B5%7Da%5E%7B8-%28-4%29%7Db%5E%7B-2-%28-10%29%7D%5C%5C%5C%5C%3D-%5Cdfrac%7B4a%5E%7B12%7Db%5E8%7D%7B5%7D)
_____
Please note that simplifying the constants, -8/10 to -4/5, eliminates half the answer choices. Since exponents are only multiplied when a power is raised to a power, you can pretty much eliminate the second choice as being unreasonable. ((a^b)^c = a^(bc))
Answer:
Maximum revenue = $8000
The price that will guarantee the maximum revenue is $40
Step-by-step explanation:
Given that:
Price of product = $35
Total sale of items = 225
For every dollar increase in the price, the number of items sold will decrease by 5.
The total cost of item sold = 225 ×35
The total cost of item sold = 7875
If c should be the dollar unit in price increment;
Therefore; the cost function is : ![[35+c(1)][225-5(c)]](https://tex.z-dn.net/?f=%5B35%2Bc%281%29%5D%5B225-5%28c%29%5D)
For maximum revenue;
![\dfrac{d}{dc}(cost \ function) =0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdc%7D%28cost%20%5C%20function%29%20%3D0)
![\dfrac{d}{dc}[[35+c(1)][225-5(c)]]=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdc%7D%5B%5B35%2Bc%281%29%5D%5B225-5%28c%29%5D%5D%3D0)
0+225-35× 5 -10c = 0
225 - 175 =10c
50 = 10c
c = 50/10
c = 5
Maximum revenue = ![[35+c(1)][225-5(c)]](https://tex.z-dn.net/?f=%5B35%2Bc%281%29%5D%5B225-5%28c%29%5D)
Maximum revenue = ![[35+5(1)][225-5(5)]](https://tex.z-dn.net/?f=%5B35%2B5%281%29%5D%5B225-5%285%29%5D)
Maximum revenue = (35 + 5)(225-25)
Maximum revenue = (40 )(200)
Maximum revenue = $8000
The price that will guarantee the maximum revenue is :
=(35 +c)
= 35 + 5
= $40