If y = xⁿ
∫y dx = xⁿ⁺¹ / (n + 1) + C Provided n ≠ -1.
y = √x
y = x^(0.5)
∫y dx = x^(0.5+1) / (0.5 + 1) = x^(1.5) / 1.5 = x^(1.5) / (3/2)
∫y dx = (2/3) x^(1.5) + C.
∫y dx = (2/3) x^(3/2) + C.
∫y dx = (2/3)√x³ + C
Answer:
7 feet
Step-by-step explanation:
Length of one piece of string = 28 feet.
Length of the second string = 42 feet.
Since the number of required pieces was not given but many are required, the greatest length can be determined by;
If the maximum length is 7 feet, then:
the number of pieces from 28 feet long string = 
= 4
Also,
the number of pieces from the 42 feet lone string = 
= 6
Total number of 7 feet strings that she can make = 4 + 6
= 10
Since many pieces are required, the greatest length she can make is 7 feet. If she increase the length to 14 feet, the number of pieces would be 5 which limit the required number.
Given:
17%
To convert into decimal form:

Hence, the correct option is C.
4 x 365 = 1460
1460/100 =14.6
14.5 x 50 = 760lbs
Answer:
90
Step-by-step explanation:
Quarters , q = 25 cent
Nickel, n = 5 cent
3 times as many nickels as quarters;
n = 3q
Total value of coins = $12
n + q = $12
0.05n + 0.25q = 12
0.05(3q) + 0.25q = 12
0.15q + 0.25q = 12
0.40q = 12
q = 12 / 0.40
q = 30
n = 3q
n = 3(30)
n = 90
90 nickels