2,195 Answered Questions for the topic Pre Calculus

12/12/19

Precalc question

In 1987, the population of Mexico was estimated at 82 million people, with an annual growth rate of 2.5%. The 1987 population of the United States was estimated at 244 million with an annual growth... more
Pre Calculus Precalculus

12/08/19

Remainder theorem precalc

f(x) = 6x^5 + 13x^4 - 30x^3 - 45x^2 + ax + b is divisible by (2x-1) and when divided by (x-1) the remainder is -40. Find the values of a and b.
Pre Calculus Precalculus

12/08/19

How do I write a vector in component form and then convert it into magnitude and direction?

What steps do I take to solve this? Example?
Pre Calculus Precalculus

12/07/19

Create a name for each point in order you are traveling. Then find the direction and magnitude vector for each path. Lastly, put them in component form of each path.

CVG Airport: (-8,-7)Kenwood Mall: (4,2)Northgate Mall: (-6,4.5)Riverbend Music Center: (2,-6)Cincinnati Zoo: (-2,-1)
Pre Calculus

12/07/19

Create a name for each point in order you are traveling. Then find the direction and magnitude vector for each path. Lastly, put them in component form of each path.

CVG Airport: (-8,-7)Kenwood Mall: (4,2)Northgate Mall: (-6,4.5)Riverbend Music Center: (2,-6)Cincinnati Zoo: (-2,-1)
Pre Calculus

12/07/19

How would I convert (6,315°) from direction form to component form?

This is a pre calculus problem on my work..
Pre Calculus Math Precalculus

12/06/19

If cos(t)= -7/8 where pi <t< 3pi/2, find the values of the following trigonometric functions.

cos(2t) sin(2t) cos(t/2) sin(t/2)
Pre Calculus Math Geometry Physics

12/05/19

Newton’s law of cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it

The temperature f(t) of the body at time t in hours after being introduced to an environment having constant temperature T0 is f(t)=T0+Ce-kt where C and k are constants.A cup of coffee with... more
Pre Calculus Linear Speed

12/05/19

Linear speed in kilometers per minute

a satellite in circular orbit 1200 kilometers above earth makes one complete revolution every 100 minutes.assuming that earth is a sphere of radius 6378 kilometers, what is the linear speed (in... more
Pre Calculus Precalculus

12/04/19

Solve the equations

1) 27^-3v/81=812) 1/64•64^-2x=163) 1/3•9^-2x-2=274) 32^-3a•8^a=(1/16) ^-a5) (1/64) ^n/16^3n=86) 1/36•36^1-p=216^3p
Pre Calculus Precalculus

12/04/19

Solve the equation. 2^2m/2^-m=64

Pre Calculus

12/03/19

The price of a gallon of milk has been rising about 1.36% per year since 2000.

The price of a gallon of milk has been rising about 1.36% per year since 2000.If milk costs $4.70 now, what will it cost next year?If milk costs $4.70 now, how long will it take for the price to... more
Pre Calculus Math

12/03/19

Graph the function y=1/2cos (x+π)

I would appreciate any help in finding and plotting the points on the graph.
Pre Calculus

12/02/19

Horizontal distance between 2 objects

a man standing in an open field sees two helicopters in the air on either side of him. Both helicopters are 110 meters up in the air. the angle of elevation from the man to helicopter A is 29... more
Pre Calculus Math

12/02/19

Graph the function: y=12cos (x+π).

I need assistance in how to find the points on this equation

11/28/19

Precalc Question

A biochemical experiment involves combining together two protein extracts. Suppose a function φ(t) monitors the amount (nanograms) of extract A remaining at time t (nanoseconds). Assume you know... more

11/28/19

Precalc question (googling this question can give you diagram)

A trough has a semicircular cross section with a radius of 5 feet. Water starts flowing into the trough in such a way that the depth of the water is increasing at a rate of 2 inches per hour.Give a... more
Pre Calculus Math Precalculus

11/27/19

Let y= -sqrt(18)sin(7pi x-3e^-1)

What is the amplitude? What is the period? What is the phase shift?
Pre Calculus Math Precalculus

11/27/19

Let y= -11cos[3(x-pi/3)]

What is the amplitude? What is the period? What is the phase shift?
Pre Calculus Math Precalculus

11/27/19

For y= -6cos(x-pi/5)

Its amplitude is ____ Its period is ____ Its phase shift is ____
Pre Calculus Math Precalculus

11/27/19

Let y=12sin(5x+7)

What Is the amplitude what is the period? what is the phase shift?
Pre Calculus Math Precalculus

11/27/19

If a point P( t ) on the unit circle has coordinates (0.11,0.994), find the coordinates of

P(t+pi) x=_____ y=______ P(-t) x=_____ y=______ P(t-pi) x=_____ y=______ P(-t-pi) x=_____ y=______
Pre Calculus Math Precalculus

11/27/19

If P ( t ) = ( cos ⁡ t , sin ⁡ t ) has coordinates (0.949,0.316), find the coordinates of

P(t+pi) x= ____ y=______ P(-t) x=_____ y=_______ P(t-pi) x= ____ y=______ P(-t-pi) x= ____ y=______
Pre Calculus Math Precalculus

11/27/19

For each angle below, determine the quadrant in which the terminal side of the angle is found and find the corresponding reference angle 𝜃¯ .

theta= -1pi/3 is found in quadrant ____ and 𝜃¯ = _______ theta= -1pi/4 is found in quadrant ____ and 𝜃¯ = _______ theta= -5pi/6 is found in quadrant ____ and 𝜃¯ = _______ theta= 5 is found in... more
Pre Calculus Math Precalculus

11/27/19

Below, express the reference angle θ′ in the same units (degrees or radians) as θ . You can enter arithmetic expressions like 210-180 or 3.5-pi.

The reference angle of 100 is..I tried 80 and it wasn't correct.

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