# pre-calculus

Most popular questions-
## Pre-Calculus

How is the function f(x)=-1/2sin5x related to the function g(x)=4sin5x?

*asked by Jis on February 13, 2018* -
## Pre-Calculus

A road sign at the top of a mountain indicates that for the next 4 miles the grade is 12%. Find the angle of the grade and the change in elevation for a car descending the mountain.

*asked by Henry on February 5, 2009* -
## Pre-Calculus

The cup on the 9th hole of a golf course is located dead center in the middle of a circular green that is 70 ft in diameter. You ball is located 50 feet south, and 40 feet west of the cup. The ball follows a straight line path and exits the green at the

*asked by Anonymous on October 4, 2015* -
## Pre-Calculus

A rectangular window is topped with a semicircle. The height of the rectangular part is 1 more than 3 times its width, w meters. Which function represents the total area, A, of the window in terms of the width?

*asked by Caitlin on September 10, 2015* -
## Pre-calculus

Complete the table assuming continuously compounded interest. (Round your answers to two decimal places.) Initial Investment: Annual % Rate: Time to Double: 8 yr Amount After 10 Years: $1700 I don't understand how to get in the initial investment of annual

*asked by Sarah on October 11, 2015* -
## Pre-Calculus

Find the area of the triangle. Round to the nearest tenth. B= 42.8° a= 12.7 c= 5.8 I found b by using the Pythagorean theorem and got b= 11.298 but I don't know what to do next after this. I would find the altitude but I don't know angles A and C?

*asked by Vincent on November 29, 2009* -
## pre-calculus

A.) A Ferris wheel has a radius of 32 feet and completes one revolution every 5.4 minutes. What is the speed of the Ferris wheel (in radians per minute)? _______radians per minute B.) A Ferris wheel has a radius of 39 feet and travels 5.6 feet every

*asked by Keira on November 29, 2016* -
## Pre-Calculus

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.) (b) Find the y-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.) (c) Find the

*asked by Sam on November 29, 2015* -
## Pre-Calculus

A parallelogram has adjacent sides 7 cm and 15 cm. If the shorter diagonal is 10 cm long, find the length of the longer diagonal.

*asked by starmario12 on November 10, 2015* -
## Pre-Calculus

Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric equations x=4t and y=t^2?

*asked by Vsuf on May 22, 2018* -
## Pre-Calculus

For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of the water around the boat, d(t), in meters, where t is measured in hours since midnight, is d(t)=5+4.6sin(0.5t) Use three decimal places in all intermediate

*asked by Becky on January 28, 2013* -
## Pre-Calculus

The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%. How much should they invest in

*asked by Alexa on June 7, 2016* -
## Pre-Calculus

Use a calculator to approximate two values of theta (0

*asked by Sade on September 27, 2016* -
## Pre-Calculus

The Period T, in seconds, of a pendulum depends on the distance, L, in meters, between the pivot and the pendulum's centre of mass. If the initial swing angle is relatively small, the period is given by the radical function T=2pi(sqrtL/g) where g

*asked by Tyson on September 20, 2013* -
## Pre-Calculus

A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the

*asked by K.C on March 4, 2011* -
## Pre-Calculus

An investor has $100,000 to invest in three types of bonds: short-term, intermediate-term, and long-term.How much should she invest in each type to satisfy the given conditions? Short-term bonds pay 4% annually, intermediate-term bonds pay 5%, and

*asked by Frank on February 28, 2016* -
## Pre-Calculus

The formula D= 5e ^-0.4h can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug has been administered. When the number of milligrams reaches 2, the drug is to be administered again. WHat

*asked by Erica on October 10, 2006* -
## pre-calculus

What is the exact value of sin 225

*asked by Daisy on July 27, 2015* -
## Pre-Calculus

a ferris wheel is elevated 1 meter above ground. When car reaches the highest point of the Ferris wheel, it's altitude from ground level is 31 metres. How far away from the center, horizontally, is the car when it is at an altitude of 25 meters?

*asked by Shane on June 8, 2017* -
## pre-calculus

find the area of the segment formed by a chord 24 cm long in a circle of radius 13 cm.

*asked by tatiana on September 28, 2011* -
## Pre-Calculus

Driving down Bald Mountain in Wyoming, Bob dean finds that he descends 1600 feet in elevation by the time he is 2.5 miles (horizontally) away from the high point on the mountain road. Find the slope of his descent (Hint: 1 mile = 5280 feet) After

*asked by Caroline on January 10, 2013* -
## Pre-Calculus

A piece of plexiglass is in the shape of a semi-circle with radius 2m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass?

*asked by Erin on March 28, 2010* -
## pre-calculus

Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.

*asked by Christy on January 12, 2014* -
## Pre-Calculus

Find all of the fifth roots of 32i?

*asked by Joshua on March 29, 2018* -
## pre-calculus

a ship passes by buoy b which is known to be 3000 yd from peninsula p. the ship is steaming east along line be and angle pbe is measured as 28 degrees. after 10 min., the ship is at s and angle pse is measured as 63 degrees. how far from the peninsula is

*asked by tatiana on October 5, 2011* -
## Pre-calculus

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 9 m/s. The ball's height h (in meters) after t seconds is given by the following h=1+9t-5t^2 Find all the values of the t for which the ball's height is 4 meters.

*asked by Lucie on July 2, 2017* -
## Pre-Calculus

A rectangle is bounded by the x-axis and the semicircle y = √36 – x2, as shown in the figure below. Write the area A of the rectangle as a function of x, and determine the domain of the area function. A = all real numbers except x = 36 all real numbers

*asked by Amanda on October 2, 2011* -
## Pre-Calculus

Find the maximum and minimum values of the function for the polygonal convex set determined by the given system of inequalities. x + y > 2 8x – 2y < 16 4y < 6x + 8 f(x, y) = 4x + 7y

*asked by Zakiyyah on August 29, 2012* -
## Pre-calculus

A surveyor standing 62 meters from the base of a building measures the angle to the top of the building and finds it to be 38°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall is the

*asked by Fred on October 29, 2015* -
## Pre-Calculus

Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell at least 100 laser

*asked by Alexa on June 8, 2016* -
## Pre-Calculus

Consider the chemical reaction aC2H6 + bCO2 + cH2O → dC2H5OH, where a, b, c, and d are unknown positive integers.? The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example,

*asked by Ann on December 4, 2013* -
## pre-calculus

The terminal ray of an angle passes through the point (5,12). What is the value of cosine for this angle?

*asked by Anonymous on January 24, 2015* -
## Pre-Calculus

Annual sales of fountain pens in Littleville are 2,000 per year and are increasing by 10% per year. How many fountain pens will be sold over the next five years? Use an integral to solve this problem. I just need help setting the problem up - thank you!

*asked by Amanda on April 27, 2017* -
## Pre-Calculus

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. At any given time, t, the distance biked can be calculated using the formula

*asked by P on August 29, 2016* -
## Pre-Calculus

I need help with this problem: The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 degrees E, and the two towers are 30 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80 degrees E from Pine Knob

*asked by Sharon on April 2, 2008* -
## Pre-Calculus

1.The angle of elevation to top of a building from a point on the ground 20degrees and the angle of elevation from a point to 25 feet farther away is 12degrees. Find the height of the building. 2.From a point on the ground, the angle of elevation to the

*asked by Jay on January 13, 2011* -
## pre-calculus

A developer wants to build homes on a rectangular plot of land 4 kilometers long and 3 kilometers wide. In this part of the city, regulations require a greenbelt of uniform width along two adjacent sides. The greenbelt must be 10 times the area of the

*asked by jordan on October 14, 2011* -
## Pre-Calculus

If a varies directly as the square of b and inversely as the cube of c , how does the value of a change when the values of both b and c are halved? a remains the same a is halved a doubles a is 25% of its original value

*asked by Quinn on April 8, 2019* -
## Pre-Calculus

An Alfa Romeo going at 70 mph requires 169 feet to stop. Assuming that the stopping distance is proportional to the square of velocity, find the stopping distances required by an Alfa Romeo going at 35 mph and at 140 mph (its top speed).

*asked by Becky on February 3, 2013* -
## pre-calculus

Convert from polar to rectangular r=3cos2theta

*asked by Tati on March 18, 2012* -
## Pre-Calculus

Consider a class with 10 sophomores, 8 juniors, and 6 seniors. Two students are selected at random. 1) What is the probability of selecting 1 junior and 1 senior. 2) Find the odds of selecting two students who are not seniors. How do I set these up to

*asked by Lucy on September 14, 2008* -
## Pre-calculus

An airplane has an airspeed of 150 km/hr. It is to make a flight in a direction of 70 degrees while there is a 25 km/hr wind from 340 degrees. What will the airplane's actual heading be? Please Explain this Problem to me!!!!

*asked by Desperate!!!! on November 22, 2011* -
## Pre-Calculus

A ball is thrown vertically upward with an initial velocity of 64 feet per second. The distance(in feet) of the ball from the ground after t seconds is s=64t-16t. At what time will the ball strike the ground? For what time t is the ball more than 28 feet

*asked by Cicley on November 23, 2012* -
## Pre-Calculus

A salesman's monthly commission is 15% on all sales over $12000. If his goal is to make a commission of at least $3000/month, what minimum monthly sales figures must he attain?

*asked by Step on May 26, 2011* -
## pre-Calculus

find the remainder when (x^40 -3) is divided by (x+1)

*asked by Tod on March 16, 2017* -
## Pre-Calculus

Find all solutions to the equation in the interval [0, 2pi) cos4x-cos2x=0 So,this is what i've done so far: cos4x-cos2x=0 cos2(2x)-cos2x (2cos^2(2x)-1)-(2cos^2(x)-1) No idea what to do next.

*asked by Maria on March 19, 2012* -
## Pre-calculus

Initially 600 milligrams of a radioactive substance was present. After 7 hours the mass had decreased by 3%. Construct an exponential model A(t) = A0ekt for the amount remaining of the decaying substance after t hours. Find the amount remaining after 24

*asked by Kim on November 23, 2015* -
## pre-calculus

mark received a 3.5% salary increase. His salary after the raise was $36,432. What was his salary before the raise?

*asked by confusion on September 14, 2011* -
## pre-calculus

A man who can row in still water at 3 mph heads directly across a river flowing at 7 mph. At what angle to the line on which he is heading does he drift downstream and at what speed does he drift downstream?

*asked by ruca on March 17, 2010* -
## Pre-Calculus

A rectangular garden with an area of 250 square meters is to be located next to a building and fenced on three sides, with the building acting as a fence on the fourth side. Let x be the length of the side parallel to the building. 1. Find T(x), the total

*asked by Courtney on January 18, 2008* -
## Pre-Calculus

In a carnival fishing game, the player is given a net to catch plastic fish. The player is allowed to scoop up 4 fish from a pool containing 36 fish, one of which is the winning fish. What is the probability of winning the game?

*asked by sweetiepie on May 14, 2019* -
## PRE-CALCULUS

. Sam won $150,000 in the Michigan lottery and decides to invest the money for retirement in 20 years. Find the accumulated value for Sam’s retirement for each of his options: (a) a certificate of deposit paying 5.4% compounded yearly (b) a money market

*asked by ROSE on November 18, 2016* -
## Pre-Calculus

Tan theta over 1 + sec theta + 1 +sec theta over Tan theta= 2 csc theta

*asked by Kevin on May 26, 2019* -
## Pre-Calculus

How to solve this problem by using logarithm: David inherits $10000 and invests in a Guaranteed Investment Certificate (GIC) that earns 6%, compounded semi-annually. How long will it take for the GIC to be worth $11000.

*asked by Hanu on April 12, 2014* -
## Pre-Calculus

cos²(θ) – 3sin(θ) – sin²(θ)= –2 ____________________________ I am having a hard time figuring out what to do. Do I use the Pythagorean ID: sin²(θ) + cos²(θ) first?

*asked by sweetiepie on May 8, 2019* -
## Pre-Calculus

The side of a rhombus is 15 centimeters long, and the length of its longer diagonal is 24.6 centimeters. Find the area.

*asked by Mindy on October 4, 2010* -
## Pre-Calculus

Solve the equation on the interval [0,2pi). 2sin^2x-3sinx+1=0 (2sinx+1)(sinx+1) I don't think I did the factoring correctly. When I multiply it out to double check I get 2sin^2x+3sinx+1

*asked by Jan on October 27, 2017* -
## Pre-calculus

An expedition walks 4 kilometers from camp on a bearing of 30 degrees, then turns and walks 10 km on a bearing of 160 degrees. Find the magnitude of the new location relative to the beginning location using vectors. -> if you can, can you possibly show how

*asked by Nicole on March 26, 2017* -
## pre-calculus

find the exact value of sin 112.5 in fraction form

*asked by Daisy on July 27, 2015* -
## Pre-calculus

prove the identity sin2x-sin2y/sin2x+sin2y=tan(x-y)/tan(x+y)

*asked by liv on November 19, 2016* -
## pre-calculus

x^2+6x+8y=7 Find the: Direction: Vertex: Focus: Axis of Symmetry: Directrix:

*asked by Leona on June 19, 2017* -
## Pre-Calculus

You are taking a flight from Daytona Beach to St. Louis. There is a stopover in Atlanta. The bearing from Daytona Beach to Atlanta is N 38.3 degrees W. The bearing from Dayton directly to St. Louis is N 43.4 degrees W. The distance of the first leg of the

*asked by Darshini on November 3, 2015* -
## Pre-calculus

C=80,000p/(100-p) A)what happens of the company tries to remove 100 percent of the pollutants? Will it work or will it cost too much? B)draw a diagram to show what the consequences of the last question would be. Label the verticals asymptote(s) and analyze

*asked by Aminata on February 21, 2014* -
## pre-calculus

For groups of 80 or more people, a charter bus company determines the rate per person according to the formula: Rate=8-0.05(n-80),n(greater than or equal to)80 where the rate is given in dollars and 'n' is the number of people. Now, Express the revenue 'R'

*asked by aelisha on October 3, 2008* -
## Pre-Calculus

A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from each class to be on a school board, how many different board can be selected? ____________________________________________________________ How would I go about

*asked by sweetiepie on May 24, 2019* -
## Pre-Calculus

Solve sin (pi/4(x-6))=0.5, 0

*asked by Hanu on January 11, 2014* -
## Pre-Calculus

If θ represents an angle such that sin2θ = tanθ - cos2θ, then sin θ - cosθ = A. -√2 B. 0 C. 1 D. 2√2 What equation can I use to solve this problem?

*asked by Peter on July 31, 2012* -
## Pre-Calculus

74. Road Grade When driving down a mountain road, you notice warning signs indicating that it is a "12% grade." This means that the slope of the road is -12/100. Approximate the amount of horizontal change in your position if you note from elevation

*asked by Sam on February 3, 2011* -
## pre-calculus

Assume that the number of bacteria follows an exponential growth model: P(t)=P0ekt . The count in the bacteria culture was 900 after 20 minutes and 1600 after 30 minutes. (a) What was the initial size of the culture? (b) Find the population after 80

*asked by kevin on November 7, 2016* -
## Pre-Calculus

A hemispherical bowl with a 30-centimeter radius contains some water, which is 12 centimeters deep. Find the volume of the water.

*asked by Danny on October 10, 2016* -
## Pre-Calculus

After leaving an airport, a plane flies for 1.75h at a speed of 200km/h on a course of 100 degrees. The plane then flies for 2 hours at a speed of 250km/h on a course of 40 degrees. At this time, how far from the airport is the planee?

*asked by Noelle on March 30, 2010* -
## pre-calculus

in Triangle abc, tanA=3/4, tan B=1, and a=10. find b in simplest radical form.

*asked by tatiana on October 3, 2011* -
## Pre-Calculus

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x4 − 3x3 + 29x2, D(x) = 3x2 + 13

*asked by Jose on September 14, 2014* -
## Pre-Calculus

a jet, in calm air conditions, travel with velocity vector (389, 389). the wind velocity (in mph) at the plane's cruising altitude is given by (0, 50). how fast is the plane's true speed

*asked by Trish on February 5, 2017* -
## Pre-Calculus

The exponential function y(x)=Ce^ax satisfies the conditions y(0)=6 and y(1)=7. (a) Find the constants C and a. Enter the exact value of a. (b) Find y(2). Enter the exact answer. Simplify the answer so it does not contain any logarithms.

*asked by Becky on January 28, 2013* -
## Pre-Calculus

Water is spraying from a nozzle in a fountain forming a parabolic path. The nozzle is 10 cm above the service of the water. The water achieves a max height of 100 cm above the waters surface and lands in the pool. The water spray is again 10 cm above the

*asked by Lucina on March 10, 2015* -
## pre-calculus

suppose a triangle has two sides of lengths a and b. if the angle between these sides varies, what is the maximum possible area that the triangle can attain? what can you say about the minimum possible area?

*asked by tatiana on September 28, 2011* -
## Pre-calculus

Find the lengths of the diagonals of a parallelogram with adjacent sides of 12cm and 13 cm if the angle between the sides is 50 degrees. The shorter diagonal is what in terms of cm? The longer diagonal is what in terms of cm?

*asked by Jamilla on April 9, 2010* -
## pre-calculus

An urn contains 7 red marbles labeled (1,2,3,4,5,6,7) and 5 green marbles labeled (1,2,3,4,5) four marbles are pulled out at once. what is the probability. A. all four marbles are red B. more of the marbles are green than red C. both red and green marbles

*asked by Ron on May 16, 2011* -
## Pre-Calculus

Convert to rectangular: theta=2pi/3

*asked by Iris on November 30, 2016* -
## Pre-Calculus

A manufacture has been selling 1050 television sets a week at 360 dollars each. A market survey indicates that for each 20 -dollar rebate offered to a buyer, the number of sets sold will increase by 200 per week. p(x)=1x/10 + 465 How large of a rebate

*asked by Ann on November 13, 2013* -
## pre-calculus

which of the following is a solution to 3tan^3x=tanx? A.) 60 degrees B.) 120 degrees c.)150 degrees D.)240 degrees E.)300 degrees

*asked by Daisy on July 27, 2015* -
## Pre-Calculus

Express tan(t) in terms of cos(t), where t is in Quadrant 3

*asked by Fortuna on October 13, 2013* -
## pre-calculus

How do I prove that sinx/sinx+cosx=tanx/1+tanx

*asked by tatiana on October 3, 2011* -
## pre-calculus

What is the polar form of the equation 3x - 4y = 12? The answer is r = 12/ (3cosx - 4 sinx) (x = theta) I don't know how to get the answer though.

*asked by Jamie on April 6, 2010* -
## Pre-calculus

From a circular piece of metal sheet with diameter 20 cm, a rectangular piece with perimeter 28 cm is to be cut as shown. Find the dimensions of the rectangular piece.

*asked by Yna on November 27, 2018* -
## Pre-Calculus

How do I solve the equation: 3 = 2.1 sin[(pi/6)t - 5pi/6] + 3.2

*asked by Brian on February 19, 2017* -
## Pre-Calculus

Could someone check my answers? 25. 32^(2x-3)=2 Answer- x= 8/5 26. 9^(2x+1)=81 Answer- x= 1/2 27. 1/4=2^3x Answer- x= -2/3 28. 1/27=3^2x Answer- x= -3/2 29. 9^x=27 Answer- x= 3/2 30. 32^x=4 Answer- x= 2/5 31. 27^(x+1)=9 Answer- x= 1/2 32. 125^(x-2)=25

*asked by Caroline on May 1, 2013* -
## pre-calculus

A plane flies due west at 250 km/hour while the wind blows south at 70 km/hour. Find the planes resultant velocity and direction.

*asked by Zene on April 12, 2011* -
## pre-calculus

Find cos(a+b). sin a = 3/5, a lies in Quadrant I, and cos b = 12/13, b lies in Quadrant I.

*asked by JO on April 22, 2019* -
## pre-calculus

A missile is fired at an angle of 75 from the horizontal. At one point, its speed was 900 mph. Find its horizontal velocity in miles per minute. (Round to the nearest hundredth.)

*asked by brenden on March 17, 2010* -
## Pre-Calculus

Composition of Functions If f(x) = 2x+1 find A. f o f(x) f(f(x)) = f(2x+1) f(2x+1) = 2(2x+1) f(f(x)) = 4x +2 B. f o f o f o f(x) ^ I don't get how to solve this one C. f o f o f o f o f ...o f(x) n functions of f ^ I also don't get how to solve this one

*asked by Shreya on September 27, 2012* -
## Pre-calculus

State whether the sequence is arithmetic or geometric, write a recursive and explicit formula and find the 10th term. 81, -27, 9, -3, 1... Sequence Type: geometric Recursive: _______ Explicit: ______ 10th Term: -1/243

*asked by HELP on April 28, 2019* -
## Pre-Calculus

1.) Which of the following polar equations is equivalent to the parametric equations below? x=t^2 y=2t A.) r=4cot(theta)csc(theta) B.) r=4tan(theta)sec(theta) C.) r=tan(theta)sec(theta)/4 D.) r=16cot(theta)csc(theta) 2.) Which polar equation is equivalent

*asked by line on May 18, 2018* -
## Pre-Calculus

2. Write an equation in slope-intercept form of a line with the given parametric equations. x = 9t + 2 y = 2t – 2 answer choices: a)y=(2/9)x - (22/9) b)y=(22/9)x + (2/9) c) y=(9/2)x - (9/22) d) y=(2/5)x + (2/3) If you could show some work, because I'm

*asked by jewellry on February 18, 2016* -
## Pre-Calculus

The Gateway Arch in St. Louis, Missouri is not a parabola but a shape known as a catenary. The name is given to the shaoe formed by the Graph of the hyperbolic cosine (cosh). The arch has a height of 625 feet andna span of 600 feet. The hyperbolic cosine

*asked by Guadalupe on February 10, 2015* -
## pre-calculus

tanx= -12/5 x in quadrant 2 find; sin2x= cos2x= tan2x=

*asked by Adam on April 22, 2012* -
## Pre-Calculus

. Margaret is planning to invest up to $22,000 in certificates of deposit at City Bank and People’s Bank. She wants to invest at least $2,000 but no more than $14,000 at City Bank. People’s Bank does not insure more than a $15,000 investment, so

*asked by Bruce on December 2, 2010* -
## pre-calculus

find the inverse of this function: y=log(p)+6

*asked by CJ on April 24, 2019* -
## Pre-Calculus

A local salesman receives a base salary of 675 monthly. He Also receives a commission of 11% on all sales over 1900. How Much would he have to sell in a month if he needed to have a monthly income of 3000? My Work: 1900*.11=209 3000-675=2325

*asked by Lost on August 14, 2015*