4 hours for 18
7 hours for 25.50
Difference in hours: 7-4 = 3
Difference in cost: 25.50 - 18 = 7.50
7.50 / 3 = 2.50
A. They charge 2.50 per hour.
B. 2.50 x 4 = 10
18 - 10 = 8
The flat fee is 8 dollars
C. 8 + (2 x 2.50) = 13 dollars
Answer:
Linear approximation is given by: 
Step-by-step explanation:
We are given the following information in the question:
Number of citations: 5 7.5 10 15 20
Outputs Residuals: 3 6 10 5 6
We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).
Linear approximation is given by:
The equation of line is given by:
where, 
is the point through which the line passes.
The equation of line is:
The above equation is the required linear approximation.
For the figure on the left, the answers are a = 8 and b = 4
This is a 30-60-90 triangle. The short leg is always opposite the smallest angle (30 degrees). The rule is the smallest side is opposite the smallest angle. Similarly, the largest side is opposite the largest angle. In a right triangle the largest side is always opposite the 90 degree angle. This side is the hypotenuse.
Recall that the longer leg is sqrt(3) times the short leg. The notation "sqrt" is shorthand for "square root".
So long leg = (short leg)*sqrt(3) which means b = 4 must be the case to end up with long leg = 4*sqrt(3)
The hypotenuse is twice that of the short leg, so a = 2*b = 2*4 = 8
=======================================
For the figure on the right, the answers are x = 2*sqrt(3) and y = 2
The short leg is y, which is opposite the 30 degree angle (this is another 30-60-90 triangle). So y is half of the hypotenuse 4. That explains how y = 2.
The long leg x is equal to sqrt(3) times the short leg, so
(long leg) = (short leg)*sqrt(3)
x = y*sqrt(3)
x = 2*sqrt(3)
Answer:
97 minutes
Step-by-step explanation:
Starting at 6:05, it will take 55 minutes to get to 7:00. Then you can add the 42 minutes to the 55 to get a total amount. This results in 97 minutes in total for your answer.
