Answer:
The pumpkin weight is 190.4 pounds
Step-by-step explanation:
We are trying to find the weight of the pumpkin
Let x be the weight of the pumpkin
We know the cost per pound = .45, the total cost 93.68 and the delivery fee =8
The total cost = the delivery fee plus the cost per pound * number of pounds
Substitute in what we know
93.68 = 8 + .45*w
Subtract 8 from each side
93.68-8 = 8-8 +.45w
85.68 = .45w
Divide each side by .45
85.68/.45 = .45w/.45
190.4 = w
The pumpkin weight is 190.4 pounds
Use the power rule
d(x^n)/dx = n·x^(n-1)
to form the derivative.
f'(x) = 4·2x -4
f'(x) = 8x - 4
Now, substitute "a" for "x" to find f'(a):
f'(a) = 8a - 4
Write a proportion:
1. 21 hot dogs / 6 minutes = 35 hot dogs / m minutes
2. m(21) = 35(6)
3. 21m = 210
4. m = 210/21
5. m = 10
Therefore, Mika would need 10 minutes to eat 35 hot dogs.
Step-by-step Answer:
To answer this question, we can simplify each expression and then substitute n.
If you use a calculator, you can just plug-in n=2 to see which one is the greatest.
A. n^5*n^2/n^4 = n^(5+2-4) = n^3
B. n^2*n^3/n = n^(2+3-1) = n^4
C. (n^2)^3/n = n^(2*3-1) = n^5
D (n^5)^2/n^4 = n^(5*2-4) = n^6
As long as n>1, the higher power n has, the larger is the number.
Therefore (n^5)^2/n^4 = n^(5*2-4) = n^6 is the winner!