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Find the equation of the line tangent to the curve y + sin(2x + y) = 2 at the point (x, y) = ( 2). An object is dropped from a height of 160 feet above the ground. Neglect air resistance and use g = 32 feet per second per second for the acceleration due to gravity. With what velocity does the sandbag strike the ground?
The first kernel pops 127 seconds after the microwave oven is started. What is the z-score of this kernel? Round your answer to two decimal places.
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
Please evaluate the following integral using trigonometric substitution. Please show all steps in the solution.
the speed of passenger train is 14mph faster than the speed of the freight train the passenger in the same time takes the frieght tarin to travel 180 miles. find the speed of each train.
Best rentals charge a daily fee plus a mileage fee for renting its cars. Barney was charged $123.00 for 3 days and 300 miles, while Mary was charged $216.00 for 5 days and 600 miles. What does Best rental charge per day and for mileage.
Computing the height of the building -If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.
You invested $10,000 in two accounts paying 8% and 9% annual interest, respectively. If the total interest earned for the year was $860, how much was invested at each rate?
what is the farmer's breakeven point in units (pounds) now? What is the farmer's breakeven point in dollars?
Explain. Provide your classmate's with one or two solutions with which they must create a quadratic equation.
a horizontal,rectanular tank is 10' long,9'wide,8'high it is filled wiyh mud to a height of 5', how many barrels of mud is in the tank?
The shop sells 1.5 times more Pomona than Coastal each day. Pomona sells for $2.05 per cup, and Coastal sells for $1.85 per cup. The manager wants to know how many cups of each blend to sell each day in order to maximize sales.
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
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