Answer:
b
Answer:
27 feet for the south wall and 18 feet for the east/west walls
Maximum area=
Step-by-step explanation:
Optimization
This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.
The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.
The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is
C=8x+12y
The budget to build the office space is $432, thus
Solving for y
The area of the office space is
Replacing the value found above
Operating
This is the objective function and must be maximized. Taking its first derivative and equating to 0:
Operating
Solving
Calculating y
Compute the second derivative to ensure it's a maximum
Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is
friends, how far do you drive?
You drive a total distance of 49.4 kilometers when you travel 27.54 kilometers to school and then 21.86 kilometers to your friend's house.
When you drive 27.54 km to school and then 21.86 km to your friend's place, you are covering a total distance of 49.4 kilometers. To calculate this, you simply add the two distances together:
Distance to school: 27.54 km
Distance to friend's place: 21.86 km
Total distance = 27.54 km + 21.86 km = 49.4 km
So, you drive a total of 49.4 kilometers when you travel to both school and your friend's house. This cumulative distance is the sum of the individual distances you cover for each leg of your journey. It's important to keep track of such distances, especially if you want to estimate fuel consumption, plan your commute, or calculate travel time accurately. In this case, you've covered 49.4 kilometers in total, which is the combined distance for your trip.
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Answer:
49.4 km
Step-by-step explanation:
you add 27.54 plus 21.86 so 49.4 km total between school and to your friends house
Answer:
c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O
Step-by-step explanation:
Given that according to the Centers or Disease Control and Prevention, 9.6% of high school students current through (c) below a
(a) Determine the null and alternative hypotheses.
(right tailed test for proportion of high school students )
b) If the null hypothesis should not be rejected, state the conclusion of the high school counselor.
c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O
36x-63y=7
-24x+42y=0
Answer:sorry I don't think itis possible with elimination method if it is possible you can post it in the comment section
Step-by-step explanation:
2) All values that satisfy y<1/3-3 are solutions
3) All values that satisfy either equations are solutions
4) There are no solutions
(Edge 2020)
The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a graph of inequalities, y < 1/3x-1 and y < 1/3-3
The solution of the inequality A is the shaded area below the solid blue line and the solution of the inequality B is the shaded area below the solid red line,
That means all the solutions of inequality B will satisfy the inequality A also.
Hence, The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
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