We are given function: y= 
Where, x is the number of hours after 5a.m.
We need to approximates the number of people standing in line to catch a commuter train at 7 a.m.
From 5 a.m. to 7 a.m. total number of hours = 7-5 = 2 hours.
So, we need to plug x=2 in the given function.
Plugging x=2 in
, we get

Let us simplify it now.
2^2= 4.
Therefore,

= -20.524 + 63.642 - 3.333.
= 39.785 or 40 approximately.
Therefore, the number of people in line at 7 a.m. is approximately 40 people.
Option D.40 is correct option.
You want to draw 2 kings from a 52 card deck. And you do it with replacement.
There are 4 kings in a standard deck. The probability of getting one of them is
4/52 on the first draw.
For the second draw the probability is the same.
4/52
The probability for both happening is
(4/52)*(4/52) = (1/13)*(1/13) = 1/169 = 0.001597
Answer:
X Y
8 4
14 7
6 3
Step-by-step explanation:
y = x/2
x = 2y
Marathon C is in the middle.
From Marathon C to Dodge C is 487
Then From Marathon C to Bayfield C is also 487
And from Dodge C to Bayfield C is 487 + 487 = 974 miles
Answer:
117 
Step-by-step explanation:
First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.
So to find the area of the rectangle, insert those variables into the area equation for a rectangle.
(RV + (X) ) (PT +(X)) = rectangle area
Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.
(RV + (X)) (PT + (X)) - [(X)(X)] = 92
rectangle - square = remaining area
Now plug in the numbers you know and solve for X.
(8 + X) (4 + X) - ((X)(X)) = 92
Use FOIL to multiply the first part of the equation (first, outer, inner, last)
32 + 8x + 4x +
-
= 92
32 + 12x = 92
12x = 60
x = 5
So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117 