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find the equation of the tangent line to the curve f(x)=4/(5x + 7) at the point (-1.2). (use the definition of derivative (not short cut) to find f'(x))
From the top of a 295 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
A garden is rectangular with dimensions 20 m by 25 m . it is surrounded by a walkway. the outside perimeter of the walkway is 114m. The width of the walkway is equal on all four sides of the garden. What is the width of the walkway? use an algebra..
The demand function for a certain make of ink-jet cartridge is the following where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand.
Lead has a Half-Value Layer (HVL) of 0.3mm for 140 KeV X-rays. What is the minimum thickness of a lead slab to reduce the incident energy to less than 1%?
Probability and Data Collection, 1. Suppose you have 4 nickels, 6 dimes, and 4 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
Probability: Random Dart. A dartboard has 3 areas: the main board has a radius of 9 inches; there is a circle with a radius of 5 inches
The given table presents the results from an ANOVA comparing three treatment conditions with n=12 participants in each condition. Fill all missing values.
the formulab=32a is used New England, to estimate the minimum furnace output,b, in BTU's for a modern house with a square feet of flooring. Determine the minimum furnace output for a 2100ft 2 modern house.
June finishes her math homework 90% of the time.If she has homework for each school day for four full school weeks, how many days will she turn in her homework?
The Jacksons plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
What is the probability that Teesha will be picked as a guide? Hint: Teesha must be picked first or second.
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