02/20/23

Quantitative reasoning

Your utility company charges 10 cents per kilowatt-hour of electricity. Complete parts (a) and (b) below.a.What is the daily cost of keeping lit a 150-watt light bulb for 11 hours each day? b. How... more
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02/20/23

For what value of k will the polynomial P(x) = x^3 - 2x^2 + kx - 4 have the same remainder when it is divided by x + 3 and by x + 2
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02/20/23

precalculus help
A phone company charges for service according to the formula: c(n)=18+0.02n, where n is the number of minutes talked, and c(n) is the monthly charge, in dollars.The rate of change in this equation... more
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02/20/23

If the minute hand of a clock has length 10 Centimeter Find the rate at which it sweeps out area
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02/20/23

precalculus work helo
A town's population has been growing linearly. In 2003 the population was 24,000. The population has been growing by 2200 people each year.Write an equation for the population, P, x years after... more
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02/20/23

Composite Functions

Let function f: R→R and function g: R→R be two functions for which f(g(x))=x and g(f(x))=x. Explain how the following is true: if f(a) is equal to b and f'(a) is equal to m (where m is nonzero),... more
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02/20/23

A streetlight is on a pole 
Give your answer accurate to 3 decimal places.A streetlight is on a pole 15 ft tall. A boy 4 ft tall walks away from the pole at a rate of 4 ft/sec. At what rate is his shadow lengthening when he... more
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02/20/23

The largest angle of a triangle is 9 times the size of the smallest , and the middle angle is 5 times the size of the smallest . What are the three angle measures?
What are the three angle measures?
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02/20/23

Write an equation for a rational function with:
Vertical asymptotes at x = 4 and x = -5,x intercepts at x = -2 and x = -4, andHorizontal asymptotes at y = 4y = ___________________(I tried solving for the right specific numerator and denominator,... more
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02/20/23

Geometry (math)
∆ABC was transformed according to the rule (x, y) → (x, −y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles? A. A translation 1 unit to the right and 1 unit... more
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02/20/23

Jacob has a total of 70 quarters and dimes that have a combined value of $11.35. How many quarters and dimes are there?
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02/20/23

Betty made a scale drawing of a city. The scale of the drawing was 5 inches = 1 yard. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
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02/20/23

Jenna invests her money into a bank account, earning 6% simple interest. If at the end of one year she earns $682.50 in interest, how much did she invest in the account?
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02/20/23

A stack of books is 4 feet 9 inches high. How high is it in inches?

A stack of books is 4 feet 9 inches high. How high is it in inches? in
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02/20/23

What is the surface area of this cylinder?
8yd 7yd
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02/19/23

Solving Quadratics using the Quadratic Equati
A waterfall has a height of 1500 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height of the pebble h in feet after t seconds is... more
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02/19/23

Solving Quadratics using the Quadratic Equation
The base of a triangle is twelve more than twice its height. If the area of the triangle is 49 square​ centimeters, find its base and height.The height of the triangle is and the base of the... more
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02/19/23

Solving Quadratics using the Quadratic Equation

The hypotenuse of an isosceles right triangle is 8 centimeters longer than either of its legs. Find the exact length of each side.​ (Hint: An isosceles right triangle is a right triangle whose legs... more
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02/19/23

Solving Quadratics using the Quadratic Equation
A waterfall has a height of 1500 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height of the pebble h in feet after t seconds is... more
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02/19/23

College Algebra

If f is one-to-one and f(6) =10, then f^-1(10)= ____ and (f(6))^-1=___
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02/19/23

Probability question
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from four people... more
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02/19/23

Given 8i is a root of polynomial, P(x) = x^3 - 4x^2 + 64x - 256, find the remaining roots and write in factored form.
Find a possible formula for P(x). You do not need to simplify your answer.P(x) = Answer format should look like (x-a)(x-bi)(x+bi))
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02/19/23

Applied Maximum and Minimum Problems

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=10 - x^2. What are the dimensions of such a rectangle with the greatest possible area?Width =... more
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02/19/23

Applied Maximum and Minimum Problems
A cylinder-shaped can must be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The fabric for the top and bottom of... more
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02/19/23

Perform the Fourier-Motzkin elimination to find a feasible region and optimum solution
Consider the following linear programming problem: min 50x1 + 80x2 subj 2x1 + 8x2 ≤ 5 6x1 + 5x2 ≤ 10 x1 ≥ 0 x2 ≥ 0(a) Is this problem feasible? (Hint: Use the Fourier-Motzkin elimination to check... more
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