Answer:
s = 6 m
Step-by-step explanation:
The value of the velocity v is given as:
m/s
To find s, we have to integrate and apply the initial values of s = o when t = 0:

When t = π/2, s will be:
s = -3cos(2 * π/2) + 3
s = -3cos(π) + 3
s = -3(-1) + 3
s = 3 + 3
s = 6 m
<h3>Answer:</h3>
133 ft
<h3>Step-by-step explanation:</h3>
Given in the question,
length of the rectangle = 31 ft
width of the rectangle= 20 ft
diameter of semicircle = 20 ft
radius of semicircle = 20/2 ft = 10 ft
<h3>Formula to use:</h3>
perimeter of rectangle + perimeter of semicircle
perimeter of rectangle = 2(l+w)
perimeter of semicircle = 1/2(2πr)
<h3>Plug values in the formula above</h3>
2(31 + 20) + 3.14(10)
133.4 ft
≈ 133 ft
Answer:
8.27
Step-by-step explanation:
subtracting a negative number creates a positive
two negatives = a positive
Answer: r = 7
Step-by-step explanation:
Subtract 12 from both sides to isolate the r variable. You have -42 = -6r. Divide both sides by -6 to get r by itself and you get r = 7. Verify by substituting 7 as the r value and solving the equation.
Answer:

Step-by-step explanation:
The given function is
f(x) = 4x
As we know
f(x) = y, which implies x= 
Therefore,
y = 4x
x = 
as x= 
So,

replacing y by x in the above expression

So our inverse function is 