consider first number is = x
formula,
(n / 2)(first number + last number) = sum,
7/2(x+x+6)= 945
2x+6= 945×2/7
2x+6 = 270
2x= 270-6
x=264/2= 132
Answer the smallest number is 132.
Answer:
y= -5x +24
Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -5, m= -5.
Substitute m= -5 into the equation:
y= -5x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation:
When x= 3, y= 9,
9= -5(3) +c
9= -15 +c
c= 9 +15
c= 24
Thus, the equation of the line is y= -5x +24.
Answer: i. There are 140 students willing to pay $20.
ii. There are 200 staff members willing to pay $35.
iii. There are 100 faculty members willing to pay $50.
Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.
For each concert:
A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?
C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
Where g is the acceleration of gravity 
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
Substituting:
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
