Answer: 9/10 of the book.
Step-by-step explanation:
1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.
1/6 = 5/30
2/5 = 12/30
1/3 = 10/30
2. Add the fractions together to find the whole amount of the book Joyce has read.
5/30 + 12/30 + 10/30 = 27/30
3. Simplify
27/30 -> 9/10
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
Answer:
Charlie spent 5$ per sandwich
Step-by-step explanation:
He ordered 6 sandwiches
6x5 =30
He spent 2$ on kids meal
30+2 = 32$
Hope this helped, if you want please mark branliest it would be appreciated
The answer is 3/4! Explanation: use slope formula
