Answer:
The question is incomplete, so I will describe the sine regression model.
The function
y = 0.884 sin(0.245x - 1.093) + 0.400
correspond to the general equation:
y = a sin(bx - c) + d
where:
a = 0.884
b = 0.245
c = 1.093
d = 0.400
The amplitude of the function is computed as follows:
amplitude = |a| = 0.884
The period of the function is computed as follows:
period = 2π/|b| = 25.6456
The phase shift of the function is computed as follows:
phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)
The vertical shift of the function is computed as follows:
vertical shift = d = 0.400
Answer:
106
Step-by-step explanation:
See attached
Answer:
180 square feet
Step-by-step explanation:
We know that the rectangular drawing has:
- 5 inches long (L)
- 4 inches wide (W)
And we also know that:
<em>1 inch = 3 feet</em>
We will find how many feet long and wide is the actual room, by multiplying:
Long: 5 inches * 3 feet/inch = 15 feet
Wide: 4 inches * 3 feet/ inch = 12 feet
Now we want to know the area of the rectangle, and the area of the rectangle is:
<em>A = L*W</em>
<em>A = 15 feet * 12 feet</em>
A = 180 square feet
Answer:
The number of horses that can eat 4 stacks of hay in 8 days = 56 horses
Step-by-step explanation:
The given parameters are;
The time it takes 16 horses to eat 5 stacks = 35 days
Therefore;
The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days
The time it takes 16 horses to eat 1 stack of hay = 7 days
The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days
Therefore;
The time it takes 1 horse to eat 1 stack of hay = 112 days
The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days
The time it takes 1 horse to eat 4 stacks of hay = 448 days
Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;
The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.
Answer:
-3b - 21
Step-by-step explanation:
You have distribute the -3 to both b and 7. So, you would have to multiply the -3 to both b and 7.