Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants
The answer is D. y = -2x + 20. This is because it has a negative slope (-2x). When a number in a slope-intercept equation has the variable (x), that determines the positive or negative association. If it is a positive slope, it travels up from left to right. If it is a negative slope, it travels down from left to right.
Step-by-step explanation:
= (1 + 5z)(-4)
= (1 + 5z) × (-4)
= 1.(-4) + 5z. (-4)
= -4 - 20z
15. 75 s̶i̶n̶c̶e̶ 20.00 p̶o̶u̶n̶d̶s̶ - 4a̶n̶d̶ 25 p̶o̶u̶n̶d̶s̶ e̶q̶u̶a̶l̶ 15.75 p̶o̶u̶n̶d̶s̶
Answer:
m*p/n = percent
Step-by-step explanation:
m% of n is what percent of p?
We can use ratios
m percent
------- = ---------------
n p
Using cross products
m*p = n * percent
Divide each side by n
m*p/n = percent
