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You have budgeted $1000 to have your pool cleaned this summer while you complete the rest of the yard. Dream Pools charge a $500 fee for supplies and maintenance and then $45 for each service call. Write and solve an inequality to find the possible number of times you can have Dream Pools clean your pool within your budget. Show your work and explain your thinking.
In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minutes and a standard deviation of 4.5 minutes. What is the probability..
Can a linear equation and a linear inequality be solved in the same way? Explain why? What makes them different?
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
What are the dimensions of this rectangle?
Given the linear equation, find the y-coordinates of the points (-9, ), (0, ), and (9, ). Please show all of your work. Plot those points and graph the linear equation.
Find the volume of the solid bounded by the cylinder y^2 + z^2 = 4 and the planes x = 2y, x = 0, z = 0 in the first octant. Calculate the double integral by using two iterated integrals with different orders of x and y integration. Do not use pola..
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
A child lies on the ground and looks up at the top of a 17-ft tree nearby. the child is 14 ft away from the tree. what is the angle of elevation from the child to the top of the tree?
a television network has eight 60-minute time slots for dramas and has 15 shows to choose from for the fall lineup. How many different lineups are possible?
What is the bound of a confidence interval with a width of 11? Report your answer to two decimal places.
one side of a rectangle is 4 times the other ,and he perimeter is not to exceed 140 . find the possible value of x the lengh of the smaller side
triangle ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of triangle ABC.
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