1,063 Answered Questions for the topic Pre-Calculus

Pre Calculus Precalculus Pre Calculus

02/04/21

If f(x)=3x^2+4x+5, what must the value of k equal so that the graph of f(x-k) will be symmetric to the y-axis?

Choices:(a) -4(b) -4/3(c) -2/3(d) 2/3(e) 4/3
Pre Calculus Chemistry Precalculus

02/02/21

Help me plz!!!!

The​ half-life of a radioactive substance is 31.7 years.(a) Find the exponential decay model for this substance(b) How long will it take a sample of 400 grams to decay to 300 grams?(c) How much of... more
Pre Calculus Chemistry Precalculus

02/02/21

Plz help!!!!!!!

The amount of carbon 14 present in a paint after t years is given by A(t)=A0 e-0.00012t. The paint contains 32% of its carbon 14. Estimate the age of the paint. Round to the nearest year as needed.
Pre Calculus Chemistry Precalculus

02/02/21

Help plz!!!!!!!

The amount of​ carbon-14 present in animal bones after t years is given by A(t)=A0e-0.00012t. A sample of fossil had 26% of the carbon 14 of a contemporary living sample. Estimate the age of the... more
Pre Calculus Math Calculus Precalculus

01/29/21

I need help with integrals

Let f be the function given by f(x)=sin^2(x/4)e^(−x2). It is known that (top value= π/2)∫(bottom value=0) f(x) dx= 0.0223. If a midpoint Riemann sum with two intervals of equal length is used to... more
Pre Calculus

01/23/21

Find cos θ cos θ and sin θ

tanθ=23tanθ=23 and cscθ<0cscθ<0.
Pre Calculus Precalculus Pre Calculus

01/20/21

If f(x)= 4x - x^2, find f(x+h)-f(x-h)/2h

Pre Calculus

01/17/21

Rewrite with only sin x and cos x. cos x - sin 2x

These are the choices2 sin x cos2x + cos x2 sin x cos2x + sin3xsin x cos2x - sin3x + cos3xcos x - 2sin xcos x
Pre Calculus

01/15/21

Difference quotient question: Given the function g(x) = x^2 + 2x, simplify g(x) − g(a)/x-a

Hi, when I try to do this question, I get to the point of x^2 +2x-(a^2+2a)/x-a. I do not understand what to do from here. I'm guessing that there is some sort of way to factor out x-a in the... more
Pre Calculus Math Calculus Precalculus

01/13/21

Is it possible to have a rational function with the following characteristics?

horizontal asymptote at y=1/3vertical asymptote at x=-4/3x intercept= (-1,0)y intercept= (0,3/4)hole at (1/2,3/11)
Pre Calculus

01/13/21

How do you do this pre-calculus question?

Find two function f and g such that f(g(x))=5/(x^2 −1)^3.

01/11/21

Write the standard form equation of the hyperbola given the following vertices and perimeter of central rectangle

Vertices (0,-1), (-20, -1)Perimeter of Central Rectangle = 72
Pre Calculus Precalculus Pre Calculus

01/09/21

Sketch the graph of the function. (Include two full periods.) Use a graphing utility to verify your result.

y = 1/9  cot(x + 𝜋)A. B. C. D.

01/09/21

Sketch two periods of y = (1/4)tan((pi x)/4). (Select the correct graph.)

A. B.    C.D.
Pre Calculus Math Calculus Precalculus

12/20/20

Use the graph of the function to answer the following.

f(x) = cos(x) on the interval [−2𝜋, 2𝜋](a) Find the x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.)x =(b) Find the y-intercepts of the graph... more
Pre Calculus Precalculus

12/15/20

Pre-Calc Ferris Wheel Modelling Problem

The Ferris wheel in the following diagram has a radius of 30 feet, and it’s center is 40 feet from the ground, and it makes one revolution every 40 seconds. 1. Write the equation of the height of... more
Pre Calculus Math Calculus Acceleration

12/15/20

Calculus Challenge Question URGENT!

I need to catch my flight. I’m at the airport and I’m running late. I need to make it 1000m to get to my gate. I have two choices. I can either run or take the moving sidewalk. The moving sidewalk... more

12/15/20

Find the domain for g(x) = x+1/x^2-x-6

12/14/20

Trig Equations and Identity

The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height... more

12/14/20

Trig Equations and identity

A radio tower is located 250 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 41° and that the angle of depression to... more
Pre Calculus Precalculus Pre Calculus

12/13/20

Find the values of the six trigonometric functions of 𝜃. (If an answer is undefined, enter UNDEFINED.)

Function Value: cos (𝜃) = -8/17Constraint: 𝜃 lies in Quadrant IIIsin (𝜃) = cos (𝜃) = tan (𝜃) = csc (𝜃) = sec (𝜃) = cot (𝜃) =
Pre Calculus Precalculus Pre Calculus

12/13/20

The Johnstown Plane is one of the longest, steepest hoists in the world. The railway cars travel a distance of 896.5 ft at an angle of approximately 35.4°, to a height of 1693.5 ft above sea level.

(Round your answers to two decimal places.)(a) Find the vertical rise of the inclined plane.______ ft(b) Find the elevation of the lower end of the inclined plane._______ ft(c) The cars move up... more

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