Answer:
6 + 8x
46
Step-by-step explanation:
1. Write the expression
6 + 8x
2. Plug in 5 for x
6 + 8(5) → 6 + 40 = 46
 
        
             
        
        
        
Answer:
(x) = 1/2x-3/2
Step-by-step explanation:
The inverse is the opposite of the equation given in this case is 2x+3 and the inverse is when you switch the x and the y and you solve for y.
 
        
             
        
        
        
Answer:
For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.
Step-by-step explanation:
The problem states that the monthly cost of a celular plan is modeled by the following function:

In which C(x) is the monthly cost and x is the number of calling minutes.
How many calling minutes are needed for a monthly cost of at least $7?
This can be solved by the following inequality:






For a monthly cost of at least $7, you need to have at least 100 calling minutes.
How many calling minutes are needed for a monthly cost of at most 8:






For a monthly cost of at most $8, you need to have at most 110 calling minutes.
For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.
 
        
             
        
        
        
Answer:
volume of  redwood tree is 6400 π ft^3(option 4)
Step-by-step explanation:
concept = 
volume of cylinder = πr^2l
where r is the radius and l is the length of cylinder
circumference of cylinder = 2πr
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shape of  redwood tree can be taken as cylindrical
given
circumference of a redwood tree trunk is 16π ft
2πr = 16π
=> r = 16π/2π = 8
Thus, radius is 8 feet
Therefore volume of  redwood tree = πr^2l = π8^2*100 = π*64*100
volume of  redwood tree =6400 π ft^3
 
        
             
        
        
        
Charles can do the whole job in an hour, Bill can do 1/2 of the job in an hour, and Bob does 1/3 of the job in an hour.  Therefore, they do a total of 1+1/2+1/3=11/6 of the job in an hour, meaning it takes them 6/11 of an hour.  This is 6/11*60=360/11 minutes, or approximately 33 minutes.