# precalc

Most popular questions-
## precalc

tan(θ + ϕ); cos(θ) = − 1/3 θ in Quadrant III, sin(ϕ) = 1/4 ϕ in Quadrant II evaluate the expression

*asked by help! on April 24, 2016* -
## precalc

use power reducing identities to prove the identity sin^4x=1/8(3-4cos2x+cos4x) cos^3x=(1/2cosx) (1+cos2x) thanks :)

*asked by skye on August 16, 2012* -
## precalc

A $5000 investment earns 7.2% annual interest, and an $8000 investment earns 5.4%, both compounded annually. How long will it take for the smaller investment to catch up to the larger one?

*asked by charlotte on August 23, 2013* -
## Precalc

Are exponential equations the same as exponential functions? I am writing a summary of this year's Pre-Calculus lessons and one of the topics on the outline is "Exponential Equations", but on the lesson Power Points on my teacher's website there is only

*asked by Lie-ma Been on June 15, 2014* -
## PreCalc

Consider the tip of each hand of a clock. Find the linear velocity in millimeters per second for each hand. a. second hand which is 30 millimeters. b. minute hand which is 27 millimeters long. c. hour hand which is 18 millimeters long. Please tell me how

*asked by Joe on November 18, 2007* -
## Precalc

Find a possible formula for the trigonometric function whose values are in the following table (note the values in the table may be slightly rounded): x 0.00 0.17 0.33 0.50 0.67 0.83 1.00 1.17 1.33 1.50 1.67 1.83 2.00 g(x) 4.00 5.50 6.60 7.00 6.60 5.50

*asked by Joe on November 9, 2017* -
## Precalc

okay sorry last two questions! I promise! The sun always illuminates half of the moon’s surface, except during a lunar eclipse. The illuminated portion of the moon visible from Earth varies as it revolves around Earth resulting in the phases of the moon.

*asked by anna on August 5, 2011* -
## Precalc

Find a formula for the nth term if... a)the 8th term is 8 and the 20th term is 44 b) the 8th term is 4 and the 18th term is -96 thanks!! I am just confused how you do this if you don't know what n is.

*asked by Rebekah on May 12, 2013* -
## precalc

A certain drug has a half-life of 2 hours in the bloodstream. The label says to take the drug every six hours. About how much of the drug will be in the bloodstream a month after the patient begins taking 700 mg every six hours?

*asked by Anonymous on September 4, 2010* -
## precalc

The wheels of a car have a radius of 11 inches and are rotating at 600 revolutions per minute, find the speed of car in mileage per hour.

*asked by Andy G on April 29, 2014* -
## precalc

A shoe manufacturer markets a new athletic shoe in a community of 500,000 people. The marketing representative convinces 35% of the community to buy the shoe. Additionally, each customer convinces 35% of his or her friends that have not bought the shoe to

*asked by Anonymous on September 5, 2010* -
## Precalc

•You have a wire that is 71 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a right triangle with legs of equal length. The other piece will be bent into the shape of a circle. Let A represent the total area enclosed

*asked by Bethany on October 27, 2015* -
## PreCalc

The area of a parking lot is 805 square meters. A car requires 5 square meters and a bus requires 32 square meters of space. At most 80 vehicles can park at one time. If the cost to park a car is $2.00 and the cost to park a bus is $6.00, how many buses

*asked by Anonymous on August 31, 2010* -
## PreCalc

The initial size of a culture of bacteria is 1500. After 1 hour the bacteria count is 12000. (a) Find a function n(t) = n0e^rt that models the population after t hours. (Round your r value to five decimal places.) n(t) = (b) Find the population after 1.5

*asked by Stephon on December 4, 2016* -
## precalc

A parallelogram has sides of 15 and 24 feet and an angle of 40 degrees .Find the diagonals. I used law of cosines and found 1 of the diagonals to be 15.79 feet but what is the other? or are they the same?

*asked by Anonymous on March 28, 2018* -
## PreCalc

The monthly revenue achieved by selling x wristwatches is figured to be x(40-0.2x)dollars. The wholesale cost of each watch is $32. a. How many watches need to be sold each month to achieve a profit (revenue-cost) of $50? for this part I did

*asked by Bob Dylan on November 15, 2009* -
## Precalc

An investment of $37,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the the third 9%. Total interest from the investments was

*asked by Kai on November 28, 2012* -
## Precalc

Assume the annual number of skin cancer deaths increases geometrically, instead of arithmetically. Use the same starting number of 9,300 in 2000 and 200,000 in 2050. Select the number closest to the ratio of number of deaths from year to year.

*asked by Joseph on November 10, 2018* -
## PreCalc

The temperature T(t) varies sinusoidally on a certain day in December. The minimum temperature is 35 degrees Fahrenheit at midnight. The maximum temperature is 50 degrees Fahrenheit at noon. Let t be the number of hours since midnight (t=o at midnight).

*asked by Katy on April 27, 2016* -
## Precalc

Identify the graph of the equation. What is the angle of rotation for the equation? y^2+8x=0 is parabola 90 degrees correct? also Identify the graph of the equation. What is the angle of rotation for the equation? xy = -5 =hyperbola 45 degrees

*asked by Sara on August 21, 2011* -
## PreCalc

An earthquake measuring 6.4 on the Richter scale struck Japan in July 2007, causing extensive damage. Earlier that year, a minor earthquake measuring 3.1 on the Richter scale was felt in parts of Pennsylvania. How many times more intense was the Japanese

*asked by Jimmy on December 4, 2016* -
## PreCalc

Approximate the solutions to the following equation on the interval [0,2π). Round your answer to four decimal places. sinθ=0.65 Apparently, there suppose to be two answers to this question with a comma separating both answers. I know because I've

*asked by chizoba on August 15, 2016* -
## PreCalc

In 1995 the CPI for all items was 152.4. Find the price in 1995 of a typical item that had an average price of $5 during the years 1982 to 1984.

*asked by Anonymous on September 11, 2010* -
## precalc

It's estimated that 9,300 deaths occurred from skin cancer at the end of year 2000 and that 200,000 deaths from skin cancer might occur by the end of 2050. Assuming the number of annual number of skin cancer deaths increases geometrically, what is the

*asked by Anonymous on September 7, 2010* -
## PreCalc

Let x = the number of non-federal hazardous waste sites and let y = the number of federal hazardous waste sites. The ordered pairs (x, y) below represent the number of sites in eleven states with at least 11, but less than 15 total sites. Alabama (9, 3)

*asked by Anonymous on September 3, 2010* -
## precalc

A celing fan with 16 inch blades rotates at 45 revolutions per minute. Find angular speed of fan in radians per minute. Find linear speed of the tips of blades in inches per minute.

*asked by Andy G on April 29, 2014* -
## PreCalc

- 2x^3 2x√(x^2+5) ----------- x^2+5 --------------------------------------- ***The lines are fraction lines*** x^2+5 This question asks you to simplify or perform the indicated operation. The answer is also given as 10x ---------- (x^2+5)^3 can someone

*asked by Art on October 30, 2018* -
## PreCalc

Suppose that $14,000 is invested in a savings account paying 5.2% interest per year. (a) Write the formula for the amount A in the account after t years if interest is compounded monthly.

*asked by Jacob on December 4, 2016* -
## precalc

Eliminate the parameter and write the corresponding rectangular equation. X=2cos theta, y=4sin theta

*asked by Kristen on February 24, 2008* -
## precalc

Without further study, you forget things as time passes. A model of human memory gives the percentage, p, of acquired knowledge that a person retains after t weeks. The formula is p = (100 – a)e-bt + a, where a and b vary from one person to another. If a

*asked by Anonymous on August 31, 2010* -
## Precalc

if sine theta=.3416 and theta is in quadrant I what is cos theta/2? Using double angle identities.

*asked by Brittany on April 26, 2012* -
## PreCalc

As you ride a bicycle, the distance between your foot and the pavement varies sinusoidally with the horizontal distance the bicycle has gone. Suppose that you start with your right foot somewhere between a high point and a low point, and push down. When

*asked by Katy on April 27, 2016* -
## Precalc

point) The pressure P (in pounds per square foot), in a pipe varies over time. Four times an hour, the pressure oscillates from a low of 40 to a high of 300 and then back to a low of 40. The pressure at time t = 0 is 40. Let the function P = f(t) denote

*asked by Joe on November 9, 2017* -
## precalc

Assume the function has only one x-intercept at the origin, and the point marked on the graph is located at (6,-3/5). The asymptotes are x=-4 and x=5. give the formula as a reduced rational function.

*asked by jc on April 3, 2019* -
## precalc

Suppose that u=log(2) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any log's. a) log(0.4)= b) log(0.08)= c) log(2500)=

*asked by bob on March 27, 2017* -
## PreCalc

A piece of wire x inches long is bent into the shape of an equilateral triangle. Find a function that represents the area of the triangle and state the domain of the function.

*asked by Jillian on February 16, 2016* -
## PreCalc

The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister contains 5 g of this radioactive gas. (a) Find a function m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds.

*asked by Kristen on December 4, 2016* -
## Precalc

Find a4 for the arithmetic series with s4=-36 and a1=9

*asked by Wren on July 21, 2012* -
## precalc

An object is attached to a coiled spring. The object is pulled down (from its rest position) and then released. Given that the distance from its rest position at time t = 0 is 3 inches, its amplitude is 3 inches, and its period is 1.5 seconds, write an

*asked by victoria on May 5, 2016* -
## Precalc

According to an article by Thomas H. McMahon in the July 1975 issue of Scientific American, a tree’s height varies directly with the radius of the base of its trunk. He expressed this relation using the formula h = kr^2/3 where k is a constant, h is the

*asked by Summer on May 8, 2018* -
## Precalc

Solve the following equation for x in terms of ln and e. (2e^3)-6-(16e^-x)=0

*asked by Aly on March 3, 2014* -
## precalc

Write a formula for converting a measure of degrees in degrees, minutes, and seconds to a decimal number of degrees. The formula should convert, for example, 39º 5’ 34” to 39.093º. The model includes the assumption that a full degree equals 60

*asked by Anonymous on August 25, 2010* -
## Precalc

Sales of snowmobiles are seasonal. Supposed sales in Camrose, Alberta are approximately by S=200+200cos[pi/6(t+2)], where t is time in months with t=0 corresponding to January. For what months are sales equal to 0.

*asked by Peech on January 13, 2017* -
## Precalc

I am having trouble figuring out this question Jan observes a buoy bobbing up and down through a total amplitude of 8 feet. Beginning at the top of the wave, if the buoy completes a full cycle every 8 seconds, what is the height of the buoy relative to its

*asked by anna on August 5, 2011* -
## PreCalc

Find the amount of time required to double a dollar investment at 7.72%, if the interest is compounded continuously. 4.49 years 8.98 years 17.96 years I'm not understanding this, I got 3.9 years when I tried to solve this.

*asked by Anonymous on August 28, 2010* -
## precalc

Let F = (0,9) be the focus and the line y = 1 be the directrix. Plot several points P that are three times as far from the focus as they are from the directrix, including the vertices on the y-axis. The configuration of all such P is a hyperbola of

*asked by jamie on April 29, 2019* -
## Precalc

Rhombus ABCD, with side length 6, is rolled to form a cylinder of volume 6 by taping side AB to side DC. What is sin(angle ABC)?

*asked by katie on July 15, 2016* -
## precalc

The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=3 and x=0 , and a root of multiplicity 1 at x=− 2, find a possible formula for P(x).

*asked by barney on March 27, 2019* -
## precalc

At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 100 meters and a diameter of 50 meters. It takes the wheel seven minutes to make one revolution. Write the sinusoidal function, f(t), that models the height of your

*asked by kate on March 19, 2019* -
## Precalc

A woman made $45,000 during the first year of her new job at city hall. Each year she received a 10% raise. Find her total earnings during the first nine years on the job.

*asked by bj on November 13, 2010* -
## Precalc

suppose you want to invest $60,000 for ten years. You can invest your money in a CD that earns 4% interest, compounded quarterly and has no risk, or you can invest your money in futures that ear 10% interest, compounded quarterly. However, the second

*asked by Sophia on November 5, 2015* -
## Precalc

Water is flowing from a major broken water main at the intersection of two streets. The resulting puddle of water is circular and the radius r of the puddle is given by the equation r = 5t feet, where t represents time in seconds elapsed since the the main

*asked by Zoe Cameron on April 2, 2015* -
## precalc

A projectile is launched from a platform 10 feet high with an initial velocity of 72 feet per second, The height h of the projectile at t seconds after launch is given by h = –16t2 + 72t + 10 feet.

*asked by Tony on July 7, 2016* -
## Precalc

1) Janet is offered a job with a starting salary of $15,000, and a guaranteed annual increase of $600. If she takes the job, what will be her guaranteed salary for the 10th year? What would her total earnings be for the first 10 years? Answer: $21,000 ; $

*asked by Ron on November 12, 2015* -
## Precalc

A taxi company charges $4.00 for the first mile (or part of a mile) and 40 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a piecewise-defined function of the distance x traveled (in miles) for 0 < x ≤ 2.

*asked by Alexa on September 7, 2014* -
## PreCalc

Which investment option will pay the most interest? A. 12.6% compounded annually B. 12.4% compounded semiannually C. 12.2% compounded quarterly D. 12.0% compounded continuously E. These investments all pay the same amount of interest.

*asked by BJ on October 4, 2010* -
## precalc

express the roots of unity in standard form a+bi. 1.) cube roots of unity 2.) fourth roots of unity 3.) sixth roots of unity 4.) square roots of unity

*asked by Yoshi on April 20, 2011* -
## Precalc

a weight on a vertical spring is given an initial downward velocity of 4cm/sec from a point 6 cm equilibrium. Assuming that the constant w has a value of 4, find the location of the weight 1 sec after it is set in motion.

*asked by Anonymous on October 1, 2013* -
## Precalc

Amy and Kali are selling cookie dough for a school fundraiser. Customers can buy packages of white chocoloate chip cookie dough and packages of gingerbread cookie dough. Amy sold 12 packages of white chocoloate chip cookie dough and 6 packages of

*asked by Anonymous on June 23, 2019* -
## Precalc

There are 12 balloons in a bag: 3 each of blue, green, red, and yellow. Three balloons are chosen at random. Find the probability that all 3 of the balloons are green, Thank you so much for the help.

*asked by Marina on January 21, 2019* -
## precalc

what is logπ (1/√π) (log base pi of one over square root of pi) can you explain how ?? thanks

*asked by lards on November 26, 2018* -
## precalc

A windshield wiper on a certain model car pivots through an angle of 123°. The total arm and blade length is 24 inches. If the blade is 21 inches, what is the total area of windshield being cleaned by the wiper?

*asked by Catalina on November 7, 2016* -
## Precalc

An open-top shipping crate with square bottom and rectangular sides is to hold 32 in^3 and requires a minimum amount of cardboard. Find the most economical directions.

*asked by Joe on August 6, 2008* -
## precalc

How to find derivative of y= sin^4x / cosx

*asked by Anonymous on November 14, 2018* -
## PreCalc

Determine whether the sequence is arithmetic. If so, find the common difference. 4, 16, 64, 256, 1024

*asked by gh on November 12, 2010* -
## Precalc

1. If a bicycle wheel has a diameter of 27 inches, find the radian measure of the angle through which the wheel turns as the bicycle travels a distance of one mile. thanks!!

*asked by Rebekah on January 9, 2013* -
## Precalc

Evaluate Tan[(3pi-70000pi)/2]

*asked by Megan on March 28, 2012* -
## Precalc

Find the standard form of the equation of the hyperbola with the given characteristics. foci: (±4, 0) asymptotes: y= +/- 3x

*asked by lllll on December 4, 2010* -
## PreCalc

[b]1. The problem statement, all variables and given/known data[/b] The average growth rate of the population of a certain city is 7.5% per year. The city's population is now 22,750 people. What is the expected population in 10 years? [b]2. Relevant

*asked by Kate on March 28, 2010* -
## Precalc

To which set(s) of numbers does the number sqrt -16 belong? Select all that apply. real numbers complex numbers*** rational numbers imaginary numbers*** irrational numbers I can only pick two, and that's what I think it is. Please check? Thanks

*asked by Max on September 8, 2017* -
## precalc

The x-intercepts are marked with points located at (5,0) and (-6,0), while the y-intercept is marked with point located at (0,3/2). The asymptotes are y=1, x=-5, and x=4. Give your formula as a reduced rational function.

*asked by jc on April 3, 2019* -
## Precalc

e^(x^2-3)=e^(x-2) please and thank

*asked by :ards on November 27, 2018* -
## Precalc

Three zeroes of a fifth degree polynomial function are 1/3, 4 - 6i, and -2 + 11i. Determine the remaining zeroes of the function. 4 + 6i, -2 - 11i -1/3, 4 + 6i, 2 + 11i -4 + 6i, 2 - 11i 3, 4 + 6i, -2 - 11i Can I have some guidance for this please? I am

*asked by Max on November 2, 2017* -
## Precalc

Given log2=0.3010, log3=0.4771, log5=0.6690, and log7=0.8451... Find a.) log8 b) log5/7 c.) log1.5 d.) log3/14 e) log12 I didn't know how to do b, c, and d. I also don't know if log 12 is right. Answer: a.) 0.903 b.)? c.)? d.)? e.) 1.0791

*asked by Katie on November 11, 2015* -
## precalc

The cost of manufacturing a semi-circular window is the cost of the glass pane together with the cost of the framing material. When ordering this window, a customer specifies the length of the base of the window, shown as l. b. Write a function named k

*asked by BeeBee on September 25, 2013* -
## precalc

To approximate unemployment for the years following 1990, an economist used the function f(x) = -0.26x^2 + 1.2x + 5.7, where x is the number of years since 1990 Select the function that defines the rate of change in the unemployment rate. A.)f '(x) =

*asked by Anonymous on September 11, 2010* -
## PreCalc

x² + 10x + 25 – 9y² I am asked to state if this polynomial is prime or to factor it. I can clearly see that you can take the SQRT of the equation, however, there is a 10x there that is not a perfect square. What am I doing wrong?

*asked by Art on October 30, 2018* -
## precalc

A group of students drove from Lawrence, KS to Denver, CO. They passed a restaurant 111 miles from Lawrence at 10 pm and stopped at a gas station 370 miles from Lawrence at 1:45 am. Using cruise control, they maintained a constant speed driving from the

*asked by BeeBee on September 6, 2013* -
## precalc

what is the minimum degree of a polynomial. How do I find that and how do I find the maximum nuber of turnin points. I know it has to do with n-1 but Idont know how

*asked by Rebekah on October 7, 2012* -
## precalc

A is accumulated amount investing after p principal for t years at and interest rate of r compounded anually k is times per year. P=$1500, r= 7%, t=6 P=1500, r=7%,t=5,k=4 P=$1250, r=5.4%,t=6

*asked by kevin on June 12, 2011* -
## Precalc

Find the smallest positive answer to the equation: sin(2x)=1

*asked by Lori on April 7, 2010* -
## PreCalc

Verify the Identity. cos^4xcsc^2x = csc^2x + som^2x - 2

*asked by Brit on November 1, 2017* -
## precalc

what is the value of cot 2π/5? how do i find the answer?

*asked by a on September 14, 2015* -
## PreCalc

Find the equation of the line in the xy-plane that goes through the origin and makes an angle of 1.2 radians with the positive x-axis.

*asked by Zack on September 8, 2015* -
## Precalc

Find a rectangular equation for the plane curve defined by the parametric equations. x = sin(theta) y = 3cos(theta)

*asked by Heather on June 10, 2015* -
## precalc

find the zeros of the function: f(x)=x^3+2x^2-109x-110 I think I need to factor but everytime I do, it doesn't look right.

*asked by kate on October 24, 2010* -
## precalc

How do i verify: cotx = (sin2x)/(1-cos2x)

*asked by jill on March 13, 2010* -
## PreCalc

h t t p : / / w w w . j i s k h a . c o m / d i s p l a y . c g i ? i d = 1 2 6 0 2 2 5 7 6 7 ok this is what i mean. For exmaple take this problem that I asked for help with before Naturalists find that the populations of some kinds of predatory animals

*asked by Jo on December 7, 2009* -
## Precalc

What are two ways to evaluate end behavior of polynomials?

*asked by CJ on April 2, 2019* -
## Precalc

What happens if you try to find the zeros using the quadratic formula for k(x)=x^2 -2x+2?

*asked by Sean on January 30, 2019* -
## PreCalc

QP is (x y) = (3 -1) + r (14 10) QR is (x y) = (3 -1) + s (17 -9) PR is (x y) = (0 18) + t (5 -7) where r, s, and t are scalars. 1. Use vector methods to find the coordinates of P, Q, and R. 2. Find vectors PQ and PR and evaluate PQ*PR 3. Find size of QPR

*asked by John on October 12, 2017* -
## Precalc

My problem is this: Three friends want to share a circular 14-inch pizza equally by exactly only two parallel cuts. How far from the center must the cuts be? Hint: The pizza is a circle of radius 7 inches. My professor wants a neat and detailed solution

*asked by Tamara on March 6, 2017* -
## Precalc

Taxes on a house assessed at $64,000 are $1500 a year. If the assessment is raised to 85,000 and the tax rate did not change, how much would the taxes be( round to two decimal places)

*asked by Jack on February 7, 2016* -
## Precalc

Two lookout towers are situated on mountain tops A and B, 4 mi from each other. A helicopter firefighting team is located in a valley at point C, 3 mi from A and 2 mi from B. Using the line between A and B as a reference, a lookout spots a fire at an angle

*asked by Lily on November 21, 2014* -
## precalc

# 1 a special window has the shape o a rectangle surmounted by an eqilatera tiangle. ifthe perimeter o the winow is 16 ft, what dimensions will admit te most light (area of triangle= suarre root of 3/4 times x2.

*asked by rebekah on September 30, 2012* -
## Precalc

Fred hits a baseball 3 ft above ground at a velocity of 100 ft per sec and at an Angle of 45 degrees with respect to level ground. The path of the baseball is given by the function f(x)=-0.0032x^2+x+3 where f(x) is the height of the baseball in ft and x is

*asked by Jackk on November 7, 2010* -
## PreCalc

The decibel (dB) is defined as dB= 10log (P2/P1), where P2 is the power of a particular signal. P1 is the power of some reference signal. In the case of sounds, the reference signal is a sound level that is just barely audible.How many dBs does a sound

*asked by jj on October 9, 2010* -
## precalc

The depletion of the Earth's ozone layer has created concern among some health experts. They believe that dramatic increases in the number of illnesses and deaths due to ultraviolet radiation rays may occur as a result of breaks in the ozone layer. The

*asked by Anonymous on September 4, 2010* -
## precalc

prove the identity : cos3x =4 cos^3x-3cosx

*asked by Anonymous on March 6, 2018* -
## PreCalc

When the polynomial p(x) is divided by (x–2), the remainder is 3 and when p(x) is divided by (x+1) the remainder is 9. Given that p(x) may be written in the form (x–2)(x+1)q(x) + Ax + B where q(x) is a polynomial and A and B are numbers, find the

*asked by Anthony on December 2, 2017*