Answer:
d. 11.6
Step-by-step explanation:
The results of the first die and the second one are independent to each other. The expected value of Z is obtained, therefore, by summing the expected values of both X and Y, because Z = X+Y and X and Y are independent. As a result 
Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
Answer:
A.
Step-by-step explanation:
The slope of the line parallel to the original line is the same. And you don't add x after the slope.
HI there! To find the number of gallons he needs for travel, the first step we need to do is find the number of miles he'll travel, by multiplying speed by time. 50 * 2.75 is 137.5. Terrell will travel 137.5 miles in 2.75 hours. There are 25 miles in a gallon. Now, let's divide the number by 25 to get the number of gallons. 137.5 / 25 = 5.5. There. Terrell will need 5.5 gallons of gas for his journey.
Given:
A person leaves work and travels west for 15 miles.
They then turn left and travel south for 10 miles, to their home.
To find:
Distance between work place and home.
Solution:
The person travels west for 15 miles, then travel south for 10 miles.
It means, it forms a right angle triangle with legs 15 and 10.
To find the distance between work place and home we need to find the hypotenuse of the triangle.
Pythagoras theorem:
Taking square root on both sides.
Therefore, the bird would fly 18.03 miles.
