Answer: 3× (w +5)
Step-by-step explanation:
 
        
             
        
        
        
Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is  and  the work to get the bucket to the top of the cliff is 3726 foot-lbs
 and  the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:

Work done to lift the bucket by distance x feet:

On reaching top 7 gallons of water spilled out so , on going up by x feet  gallons of water spilled out.
 gallons of water spilled out.
 a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

Now the work to get the bucket to the top of the cliff i.e. x =35

W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is  and  the work to get the bucket to the top of the cliff is 3726 foot-lbs
 and  the work to get the bucket to the top of the cliff is 3726 foot-lbs
 
        
             
        
        
        
In math, when you see the word "of" it usually means "times".
So the question is:
        <u>2/3 times something = 10</u>
Multiply each side of the equation by 3 :
             2 times something = 30
Divide each side by 2 :
                        <em>  something = 15</em>
        
                    
             
        
        
        
Answer:
5hours
Step-by-step explanation:
At constant speed, distance speed= distance/time taken
therefore, time will be obtained by the division of distance traveled by the speed.  
in this question the distance is provided but time is not hence time is calculated as follows. time= distance/time taken
                             =275miles/55miles/hour
                             = 5hours
 
        
                    
             
        
        
        
To graph the new shape, you must move each vertex down 3 units. This causes Q to become (1, 0), L to become (5, -2), and Q to become (1, 0). These values can be found by simply counting down by three for each point.