Answer:
Step-by-step explanation:
A = the area of the region outside the semicircle but inside the rectangle
w = the width of the rectangle or diameter of the semicircle
Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).
A(w) = (area of rectangle) - (area of semicircle)
Where,
lenght of rectangle (l) = w + 5
width of rectangle (w) = w
r = ½*w = 
Plug in the values:
Simplify
Answer:
sqrt(1/2x+6) = h^-1 (x)
Step-by-step explanation:
To find the inverse, we exchange x and y and then solve for y
y = 2x^2 -12
Exchange x and y
x = 2y^2 -12
Solve of y
Add 12 to each side
x+12 = 2y^2
Divide by 2
(x+12) /2 = 2y^2/2
(x+12)/2 =y^2
1/2 x+6 = y^2
Take the square root of each side
sqrt(1/2x+6) = sqrt(y^2)
sqrt(1/2x+6) = y
This is the inverse
What you must do for this case is to see the percentage in each of the cases in order to have a point of comparison.
We have then:
44 people of 230:
(44/230) * (100) = 19.13%
Of women, 26 out of 112:
(26/112) * (100) = 23.21%
answer:
Your company was more highly rated among the
B) Women
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
So this inequality is going to be written as 9(x + 6) > 99
Firstly, you want to foil 9(x + 6), which will look like this: 9x + 54 > 99
Next, subtract 54 on both sides of the equation: 9x > 45
Lastly, divide both sides by 9, and your answer will be x > 5
