Answer:
7
Step-by-step explanation:
Total number of surfaces of cube are 6.
Each surface is square.
And area of square is (side)^2
That means, total surface area will be 6 * (side)^2
From question,
294 = 6 * (side)^2 ( Surface area given)
=> 294 ÷ 6 = ( side) ^2
=> 49 = side^2
=> √49 = side
=> 7 = side
So, length of edge of cube is 7
The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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Answer:
His acceleration is 
meters per seconds²
Step-by-step explanation:
Acceleration is the rate of change of the speed
The formula of acceleration is 
, where
is the final speed
is the initial speed- The unit of the acceleration is meters/second²
∵ Jim goes from 70 meters/minute (beginning speed) to
106 meters/minute (final speed) in 9 seconds
∴ His initial speed = 70 meters/minute
- Change it the meter per second
∵ 1 minute = 60 seconds
∴ 
meters/second
∴ = 
meters/second
∵ His final speed = 106 meters/minute
- Change it the meter per second
∴ 
meters/second
∴ = 
meters/second
∵ The time of the change of his speed is 9 seconds
∴ t = 9
∵ The formula of acceleration is
- Substitute the values of t, and in the formula above
∴ 
∴ His acceleration is meters per seconds²
Answer:
(3,2)
Step-by-step explanation:
Let's solve this via elimination method:
By subtracting equation 2 from equation one we obtain:
Next we can use any equation either 1 or 2 to determine what x is, I'll use equation 1. Let y=2 and so:
Therefore the solution for the system of equations is:
x=3 and y = 2 as an ordered pair we have (3,2)
Answer:
x =(4-√40)/6=(2-√ 10 )/3= -0.387
x =(4+√40)/6=(2+√ 10 )/3= 1.721
Step-by-step explanation: Hope this helped!!!
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