We are given
The equation that models this trip is T= 36x + 60
T represents the total cost for the group to take the trip and
X equals the number of people going
we know that
Domain is all possible values of x for which any function is defined
Since, number of people can neither be negative nor in decimals
so, x can not be negative or in decimals
now, we will check each options
option-A:
x=40
This is positive and whole number
so, this can be domain
so, this is TRUE
option-B:
x=60
This is positive and whole number
so, this can be domain
so, this is TRUE
option-C:
0< x< 40
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
option-D:
0< x< 39
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
Answer:
P_max = 9.032 KN
Step-by-step explanation:
Given:
- Bar width and each side of bracket w = 70 mm
- Bar thickness and each side of bracket t = 20 mm
- Pin diameter d = 10 mm
- Average allowable bearing stress of (Bar and Bracket) T = 120 MPa
- Average allowable shear stress of pin S = 115 MPa
Find:
The maximum force P that the structure can support.
Solution:
- Bearing Stress in bar:
T = P / A
P = T*A
P = (120) * (0.07*0.02)
P = 168 KN
- Shear stress in pin:
S = P / A
P = S*A
P = (115)*pi*(0.01)^2 / 4
P = 9.032 KN
- Bearing Stress in each bracket:
T = P / 2*A
P = T*A*2
P = 2*(120) * (0.07*0.02)
P = 336 KN
- The maximum force P that this structure can support:
P_max = min (168 , 9.032 , 336)
P_max = 9.032 KN
Answer:
Your answer for the above equation is D
Answer:
$5.40
Step-by-step explanation:
To find the increase we need to consider our variables.
Current Rate = $4.50
Increase Percentage = 20% or 0.20
Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.
Total Price w/ Increase = ($4.50 x 0.20) + $4.50
Total Price w/ Increase = $0.90 + $4.50
Total Price w/ Increase = $5.40
Answer:
average rate of change is 3/2
Step-by-step explanation:
Recall that the average rate of change in an interval [x1, x2], is defined as:
[f(x2)-f(x1)] / (x2 - x1)
which for the interval [0, 2] becomes:
[f(2)-f(0)] / (2 - 0)
From the graph we read that f(0)= 1 and f(2) = 4, therefore:
[f(2)-f(0)] / (2 - 0) = [4 - 1] / 2 = 3/2
