Answer:
Average of Gilbert in last 5 test = 86.6
Step-by-step explanation:
Given:
Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90
Find:
Average of Gilbert in last 5 test
Computation:
Average value = Sum of all events / Total number of events
Average of Gilbert in last 5 test = Sum of all last results / Number of results
Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5
Average of Gilbert in last 5 test = [433] / 5
Average of Gilbert in last 5 test = 86.6
Answer:
$440
Step-by-step explanation:
100%-25%=75%
75%=330
1%=330÷75=4.4
100%=100x4.4=440
Hope this helps! Thanks.
Answer:
What grade are you in?
Step-by-step explanation:
6. 16 divided by 4 is 4
Then your keep going like 8 is 25 divided by 5 which is 5.
9. 120 divided by 4 is 30
10. 36 divided by 6 is 6
2. A unique solution exists in the entire xy-plane.
3. A unique solution exists in the region y ≤ x.
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
5. A unique solution exists in the region x2 + y2 < 1.
A unique solution exists in the region consisting of all points in the xy-plane except the origin.
The correct option is 4.
The given differential equation is:
(x² + y²)y' = y²
The equation can be rewritten as:
We need to determine a region of the xy-plane for which the differential equation would have a unique solution whose graph passes through a point (x₀, y₀) in the region.
To determine the region, we can use the existence and uniqueness theorem for first-order differential equations.
According to the theorem, a unique solution exists in a region if the differential equation is continuous and satisfies the Lipschitz condition in that region.
To check if the differential equation satisfies the Lipschitz condition, we can take the partial derivative of the equation with respect to y:
dy/dx = y / (x² + y²)
The partial derivative is continuous and bounded in the entire xy-plane except at the origin (x=0, y=0).
Therefore, the differential equation satisfies the Lipschitz condition in the entire xy-plane except at the origin.
Since the differential equation is continuous in the entire xy-plane, a unique solution exists in any region that does not contain the origin. Therefore, the correct answer is:
A unique solution exists in the region consisting of all points in the xy-plane except the origin.
To learn more about the Lipschitz condition;
#SPJ12
The differential equation will have a unique solution in the entire xy-plane except at the origin, as both the function and its partial derivatives are continuous and well-defined everywhere except at that point.
To determine a region of the xy-plane where the differential equation (x2 + y2)y' = y2 has a unique solution passing through a point (x0, y0), we need to consider where the function and its derivative are continuous and well-defined. According to the existence and uniqueness theorem for differential equations, a necessary condition for a unique solution to exist is that the functions of x and y in the equation, as well as their partial derivatives with respect to y, should be continuous in the region around the point (x0, y0).
We note that both the function (x2 + y2)y' and its partial derivative with respect to y, which is 2y, are continuous and well-defined everywhere except at the origin where x = 0 and y = 0. Therefore, a unique solution exists in the region consisting of all points in the xy-plane except the origin.
From the given options, the correct answer is:
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
#SPJ3
Answer:
$25
Step-by-step explanation:
Let each game she plays be = X
Let’s assume the Shoe rental cost she pays be = $10 (this can also be expressed in terms of a variable but for simplicity we will assume the shoe rental cost now to be a Number)
Let’s assume the cost of one game be = $5
Now the expression would be:
3X + $10
Total cost to Melinda if one game costs $5:
3($5) + $10 = $15 + $10 = $25
Answer:
She gets 15 minutes to play video games.
Step by step:
For every 1 hour = 5 minutes, so 1x3 = 3 hours, 5x3 = 15 minutes.
Answer:
Job A - Job D - Job E - Job B - Job C
Step-by-step explanation:
Job A = 2
Job B = 10
Job C = 15
Job D = 6
Job E = 8
SJN (Shortest Job Next) is also known as Shortest Job First. In Shortest Job Next, the job with the shortest time among the available jobs is executed first then followed by the next job having the shortest time till all the jobs are finally executed.
Since all the five jobs are already in the queue: they will be processed based on the job having the shortest CPU time among the available job.
Job A will be processed first since it has smallest time of 2, followed by Job D with a time of 6, followed by Job E with a time of 8, followed by Job B with a time of 10 and finally Job C which is processed last.