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Find a linear model for the data algebraically (using the first and last points from the table). Let N represent the number of tax returns made through e-file and let t = 0 correspond to 2000. (Round the slope to two decimal places and the y-intercept to one decimal place.)
Find the instantaneous velocity when t = 1. Please show me all the steps, explain to me what instantaneous velocity is and how it is calculated (formula).
An airplane is flying in still air with an airspeed of 425 miles per hour. If it is climbing at an angle of 31°, find the rate at which it is gaining altitude.
Determine the amplitude, period and phase shift of Y = ½ sin (x+π) and graph one period of the function.
she suggests building fences described by y=4x2 and y=x2+5. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
A building 240 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)?
Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that quali..
The surrounding lawn is to be 10m wide on the north and south sides of the garden and 3m wide on the east and west sides. Find the dimensions of the rose garden if the total area of the rose garden and the lawn together is to be a minimum.
Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
A kilobyte is 2^10. A megabyte is 2^20 bytes. How many kilobytes are in a megabyte? Use the exponent rule for division to find your answer and give your answer in exponential form.
Give examples of Quadratic relationships in either nature or business, Remember, a quadratic relationship
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