# Pre- Calculus

21,911 results, page 10-
## Pre Calculus

A flare is launched straight up with a velocity of 200 feet per second. The function h(t)= 200t−16t^2 models the height h(t)of the flare are at time t. How many seconds will it take for the flare to hit the ground? -
## Pre-calculus

Find the equation of the locus of the point which moves so that its distance from the point (2,0) is 2/3 its distance from the line y=5. -
## Pre calculus

Find the value for sin(theta), cos(2 theta)=3/4 and 270 degrees<0<360 degrees -
## Pre calculus

Why is it dangerous to use the law of sines to find an angle but is not dangerous to use the law of cosines? Please explain this thoroughly. -
## Pre-calculus-check answer

If cot theta =0.85, find tan theta. Answer: 1.176 -
## pre-calculus

Please diregard the other one the square root sign did not come out right. find the complete function f o g f(x)=x^2+1;g(x)= square root x-4 -
## Pre-Calculus

How to solve sin(x/2) = 1 - cos x? I know you would use the half angle identity sin(x/2) = +-(√1 - cos x/2), just don't know what to do from there. -
## Pre-Calculus

How do you make one side equal to the other side? (secx/secx-tanx)=sec^2x+secxtanx -
## Pre Calculus

For a given right triangle, side a = 76.4 feet and side b = 39.3 feet. What is the measure of angle A to the nearest degree? -
## Pre-Calculus

How to solve sin(x/2) = 1 - cos x? I know you would use the half angle identity sin(x/2) = +-(√1 - cos x/2), just don't know what to do from there. -
## PRE - CALCULUS

Evaluate the radical expressions or indicate that the root is not a real number. 3sqrt-4^3 A. -64 B. 4 C. -4 D. not a real number B? -
## pre-calculus

a pasture is twice as long as it is wide. Its area is 115,200 ft square. How wide is the pasture -
## Pre Calculus

(secx)/(tanx)+(cscx)/(cotx)=secx+cscx Please help me verify this trigonometric identity. -
## Pre-calculus

The graph of [r = -5/(2 cos \theta + sin \theta)] is a line. Find the y-intercept of this line. -
## Pre-calculus

The graph of [r = -5/(2 cos \theta + sin \theta)] is a line. Find the y-intercept of this line. -
## Pre-Calculus

Determine whether the equation represents y as a function of x. |y| = 4 - x If I plug in 5, then I get -1, but it also means 1. Does that mean y has 2 values which means that it is not a function? -
## Pre-Calculus 11

What is the entire radial form of -3* cube root of 2? I go cube root of 54 as my answer but it is wrong -
## Pre-Calculus

1.) Find (f - g)(x) if f(x) = 2x - 5 and g(x) = 4. 2.) Given f(x) = 4 and g(x) = 2x - 1, find (f - g)(x). Thanks so much! :) -
## Pre calculus

at an archaeological site remains of plant material will found to have 28.9% of the amount of carbon-14 in a living sample. What was the approximate age of the plant material? -
## pre-calculus

What is the base of the function F(x) = b to the power of x if the graph has points of (1/3, 2)and another off the subject one if g(x)= log 7 x what is g(1/49)? If F(x) = 2 when x = 1/3, and if the fucntio is of the form F(x) = b^x, then 2 = b^(1/3) Cube -
## pre calculus

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. F(x)= ln(8-x) I am totally lost, somebody please help???? -
## Foundations and Pre-Calculus Math 10

Find the radius of a cone with a height of 3m and a volume of 30m cubed. So far I have 90m cubed / 3m = pi(r^)3m/3m. Then I get stuck. Help! I'm really bad at math. ): -
## Pre-Calculus Help?

the vertical and horizontal positions of a zip line cable are represented by the following parametric equations. Rewrite the parametric equations by elimination the the parameter. x(t)= 3t + 4 y(t) = 5-t a) y = -1/3x+19/3 b) y= 19 - 3x c) y= 2x + 9 d) y= -
## Pre Calculus

I have tried and tried to understand double angle identities but it just won't stick. if sin x = -0.6 and 180 (degrees) < x < 270 (degrees), find the exact value of sin 2x -
## Pre-Calculus

I'm having problems solving this and showing the steps: Find the absolute maximum and absolute minimum, if either exists, for y = f(x)= x^3 - 12x + 12 -3 less equal to x greater than equal to 5 -
## 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? -
## Pre-Calculus

From the top of a 300-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far is the ship from the base of the lighthouse? (Round your answer to the nearest foot.) -
## 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. -
## Pre-Calculus

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the answer to two decimal places. -
## pre-calculus

given x = 1,110 degrees Find sinx, cosx, tanx, cotx, secx, cscx, without using a calculator. Each result should be a fraction. No decimals involved... I don't even know where to begin, i missed a class, so please explain the work fully, Thanks kenny -
## Pre Calculus

Exponential growth and decay find the half life of a radioactive substance if 220 grams of the substance decays to 200 grams in 4 years? -
## pre-calculus

Graph the polar equation: 2=r cos(theta + 180) 2=r(costheta cos180+sintheta sin180) 2=r(1/2costheta +pi+ pi sintheta) 2=1/2rcostheta + pi rsintheta 2=1/2x+ pi y 4=x+ pi 0= x + pi-4 how do i graph? -
## Pre-Calculus

The graph of f(x)= (x^2 - 11x + 18)/(x-9) consists of a line and a hole. Find the equation of the line and the coordinates of the hole. I really have no idea how to do this. I tried factoring it and ended up with (x-2), but I don't know how that helps me. -
## 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? -
## pre calculus

use given info about a polynomial whose coefficients are real numbers to find the remaining zeros. Degree: 6 so I know there's at least 6 zeros:-5-isqrt7, 13 + 2ni, -5 - 3i (where n is a real number) any ideas?????? -
## Pre-Calculus

The solution of the system of three inequalities is given by a polygonal convex set. 8x + 2y ≥ 36 -3x + 6y ≤ 27 -7x + 5y ≥ -18 The function f(x,y) = 9x + 5y passes through this set. What values of (x,y) give f(x,y) its maximum value? -
## Pre-calculus-check answers

Choose the statement that is true for the graph f(x) =x^3-12x. Answer: f(x) decreases for x >-2 2) Which type of critical point, if any, is present in the graph of f(x)=(x-4)^5+1 Answer: none -
## 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!!!! -
## pre-calculus

the function f(x)=4/x-7 is one to one a. find the inverse of f b. graph f, f^-1, and y=x on the same set of axes find the inverse of f f^-1(x)= -
## Pre-Calculus

Point B is 12 km north of point A. Point C is 9 km from point B on a bearing of 060°. Find the distance from A to C. -
## pre calculus

consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all. -
## Pre-Calculus

Solve by using the substitution method 1.x=-3y+4 and 3x+9y=12 3(-3y+4)+9y=12 -9y+12+9y12 0=0 x=-3(0)+4 x=4 Would there be infinite solutions or would it be (0,4)? 2. x=3y-1 and 2x-6y=-2 2x-6y=-2 2(3y-1)-6y=-2 6y-2-6y=-2 0=0 x=3y-1 x=3(0)-1 x=-1 Would there -
## pre-calculus

find the inverse of the following function. Find the domain, range, and asymptotes of each function. f(x)=3+1n(x+2) -
## Pre-Calculus

Why is the graph of Y=2LNx "half" of the graph of Y=LN(x squared)? Perhaps I don't know what you mean by "half" 2ln(x) is the same as ln(x^2) -
## pre - CALCULUS

Use the compound interest formulas A = Pert and A = P(1 + 𝑟/n)^nt to solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually? Show your -
## pre-calculus

If San Francisco Giants homerun king, Barry Bonds, hit a baseball due west with a speed of 50.0 m/s, and the ball encountered a wind that blew it north at 5.00 m/s, what was the resultant velocity of the baseball? -
## Pre-Calculus

Simplify the rational expression and then add or subtract. Express answers in simplest form and identify all non-permissible values. (The non-permissible value is not the issue. It is the simplification) 3x + 15/x^2-25 + 4x^2 -1/ 2x^2 + 9x -5 -
## Pre-Calculus Help?

A class is to eliminate t from the parametric equations x = t^2 + 3 and y = 4t. Beth says that she can write t = sqrt (x-3) to eliminate the parameter. Why is this wrong? A) She should have added 3 to x, not subtracted B) She should always solve for t as a -
## 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 -
## pre - CALCULUS

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x + y = -8 x - y = 14 A. {( 3, -11)} B. {( 3, 11)} C. {(x, y) | x + y = -8} D. -
## Pre-Calculus

The angle of depression from the top of a 75 ft. lighthouse to a ship out in the ocean is 40*. How far out is the ship from the lighthouse? I've been stuck on this problem for an hour, I know the answer but don't know how to set it up/enter it in a -
## Pre-calculus

A rectangular package to be sent by a delivery service can have a maximum combined length (y) and girth (perimeter of its cross section) of 300 inches. Assume that the width and height are the same (x). Find the equation for the volume of the box in terms -
## Pre-calculus

A rectangular package to be sent by a delivery service can have a maximum combined length (y) and girth (perimeter of its cross section) of 300 inches. Assume that the width and height are the same (x). Find the equation for the volume of the box in terms -
## Pre-Calculus ( Trigonometry)

The point P(k, 24) is 25 units from the origin. If P lies on the terminal arm of an angle, theta, in standard position, 0 < theta < 360,determine the measure of theta. Unsure how to go on from here. I'd appreciate if someone can guide me through the -
## Pre-calculus

what is the domain of f[g(x)]? A.all the elements x in the domain of g for which g(x) is in the domain of f B.the range of x -
## Pre Calculus

Determine the quadrant in which a 130° angle lies. a. 4th quadrant b. 1st quadrant c. 3rd quadrant d. 2nd quadrant -
## Pre-Calculus

Find first differences for the sequence in order from a_1 to a_5. Determine whether or not the series is quadratic or not.(I used _ as a sign for a subscript) -1, -3, -1, 5, 15 A. 2, 2, 6, 10; not quadratic B. 2, 2, 6, 10; quadratic C. -2, 2, 6, 10; not -
## Pre-calculus

Write the standard form of the equation of the circle that is tangent to x= -2 and has its center at (2,-4). Answer:(x-2)^2+(y+4)^2=16 Is this correct? 2) Find the area of the region between the graph of y=x^3 and the x-axis from x=1 to x=4 Answer: 63 3/4 -
## Pre-Calculus

Given that SIN Theta = -1/sqrt(10) and theta is in quadrant 4, find sin2theta and cos2theta. I'm not sure how to properly square the -1/sqrt10 and keep an exact answer other than decimal. Otherwise, my final answer is 1.632455533 -
## 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 -
## Pre-Calculus

Find the difference quotient usingF(x)-f(1)/x-1 1. f(x)=-3x+2 Given F(x) =2x Find f(x+🔼x) -f(x)/🔼 x -
## Pre-Calculus

1. Find functions f and g so that f[g(x)]=H(x) where H(x)=(1+x^2)^3 2. For f(x)=4x+1 and g(x)=x^2-2x-4, find (g-f)(x) 3. Determine f(x)=x/x^2-4 4. Determine the domain of f in f(x)=10-sqrt3-x -
## pre calculus

If f and g are inverse functions and the point (-3, 5) is on the graph of f, then the point ____ is on the graph of g -
## Pre-Calculus-Trig

A lighthouse keeper 100 feet above the water sees a boat sailing in a straight line directly toward her. As watches, the angle of depression to the boat changes from 25 degrees to 40. How far has the boat traveled during this time? -
## Pre Calculus 12

Identify the point on the unite circle coressponding to an angle of 300 degrees in standard position A (-√3, -√3/2) B (-√3/2, 1/2) C (1/2, -√3/2) D (1/2, -√3 ) I don't get how to figure this out :| -
## Pre-Calculus-Trig

A pilot in a plane at an altitude of 22,000 feet observes that the angle of depression to a nearby airport is 26 degrees. How many miles is the airport from a point on the ground directly below the plane? -
## Pre-Calculus-Trig

Two trains depart simultaneously from the same station. The angle between the two tracks on which they leave is 120 degrees. One train travels at an average speed of 45 mph and the other at 70 mph. How far apart are the trains after three hours? -
## Pre-Calculus-Trig

A surveyor stakes out points A and B on sides of a building. Point C on the side of the building is 300 feet from A and 440 feet from B. Angle ACB measures 38 degrees. What is the distance from A to B? -
## pre calculus

A rectangular parcel of land has an area of 4,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, correct to the nearest foot? -
## Pre-calculus

Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) x-3y+2z=21 5x-13y+12z=81 I have an answer but i'm not -
## Pre-calculus

a) A particular ball always rebounds 3/5 the distance it falls. If the ball is dropped from a height of 5 meters, how far will it travel before coming to a stop? Explain the reasoning. b) Prove that if a1, a2, a3, ... is a geometric sequence,then ln(a1), -
## Pre Calculus 12

permuations an orchestra has 2 violinsts, 2 cellisst, and 4 harpists. Assume that the players of each instrument have to sit together, but they can sit in their own group. In how many ways can the conductor seat the members of the orchestra in a line? I -
## Pre calculus

A plane is headed due south with an airspeed of 190 mph. A wind from the direction of S 40 degrees W is blowing at 30 mph. Find the groundspeed of the plane, rounded to the nearest whole number -
## Pre-Calculus

Find the equation in standard form for the hyperbola that satisfies the given conditions: transverse axis endpoints (-2,-2) and (-2,7), slope of one asymptote 4/3. I found the distance of the transverse axis to be 9. For the formula, I have a=9/2. I need -
## pre-calculus 11

abs x^2/2 -1 =x+3 solve algebraically so if I divide through by 2 i get x^2 -2= 2x+3 simplifying x^2-2x-5 =0 solve by quadratic formula to get =3.449 and -0.445 both of which are extraneous roots if I take negative then I get -x^2 +2=2x+6 simplify to x^2 -
## Pre-calculus-check answers

Write the slope-intercept form of the equation of the line that passes through the point (-5,4)and has a slope of -1. Answer: y=-x-1 2)Solve the system of equations algebraically: 1/3x+1/3y=1 and 2x+2y=9 Answer: no solution -
## Pre Calculus

The revenue and cost equations for a product are R=x (50-0.002x) and C= 12x+ 150000. Where R and C are measured in dollars and x represents the number of units sold. How many units must be sold to get a profit of at least 1,650,000 -
## Pre-Calculus

Determine the balance A for P dollars invested at rate R compounded N times per year for T years. Round each amount to the nearest cent P= $1000, R=3% t=10 years N=A 2=? 4=? 12=? 365=? Compounded continuously=? -
## pre-calculus

Which of the following is NOT a solution to cos^2x=3sin^2x? A.) 30 degrees B.) 60 degrees C.) 150 degrees D.)210 degrees E.)330 degrees -
## Pre-Calculus-Trig

A 40 foot high flagpole sits on the side of a hill. The hillside makes a 17 degree angle with horizontal. How long is a wire that runs from the top of the pole to a point 72 feet downhill from the base of the pole? -
## Pre-Calculus

Can you create another pair of six-sided dice (different from the standard dice) that produces the exact same probabilities of the sums two through twelve appearing? The only rule is that the numbers on each face must be positive integers. I've been -
## Calculus

What is the use of Calculus? How is it use in jobs? What jobs use Calculus? Calculus is used in engineering, economics, any physical science, and in business (e.g., actuary studies and statistics). -
## Pre-Calculus Math

The Summer Theatre charges $4 per ticket, and it sells an average of 400 tickets nightly. The manager estimates that the ticket sales would decrease by 50 for each $1 increase in the ticket cost. What is the most profitable price to charge? -
## Pre Calculus

interest 7%; investment $2000, compounded monthly - how much after 10 years. I am very close on this one but must be missing an important step: A(t) = 2,000(1 + .07/12)^(10)(12) A(10) = 2,000(1.0058)^120 A(10) = 2,000(2.0017 = 4003.4 However the answer is -
## PRE-CALCULUS

AN OPEN BOX IS FORMED BY CUTTING SQUARES OUT OF A PIECE OF CARDBOARD THAT IS 16 FT BY 19 FT AND FOLDING UP THE FLAPS. WHAT SIZE CORNER SQUARES SHOULD BE CUT TO YEILD A BOX THAT HAS A VOLUME OF 175 CUBIC FEET -
## Pre-Calculus

How do you factor this completly 7x*(4x-5)^3+(4x-5)^4 I am confused by the different power of exponets and the 7x in front Can you please help me? 7x*(4x-5)^3+(4x-5)^4 factor out the common term: (4x-5)^3 * (7x+4x-5) Then simplify the second term. what -
## pre-calculus

Currently in school we're learning about proving identities and for extra credit I got this problem. cosB= -8/17 in quad II and I have to find sin 7B. I have gotten this far: sin7B= sin(3B+4B) sin3Bcos4B+sin4Bcos3B my problem I can't figure out how to -
## Pre-Calculus

Which is the best example of the use of parametric equations? A. Measuring weight on the moon. B. Finding the position of a person in a city. C. Determining the position of a satellite during a specific time of day. D. Finding the right parameters to use -
## Pre-Calculus

Find a numerical value of one trigonometric function of x if tanx/cotx - secx/cosx = 2/cscx a) cscx=1 b) sinx=-1/2 c)cscx=-1 d)sinx=1/2 -
## pre calculus

use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=x^4+2x^3-7x^2-8x+12 I am totally lost, please help? -
## Pre Calculus

If you are riding on a Ferris wheel that is 60 feet tall and it takes 5 minutes to make a one revolution, what is your linear velocity? A. 0.62 feet per second B. 0.31 feet per second C. 37.68 feet per second D. 3.14 feet per second E. 9.42 feet per second -
## Pre-Calculus

Same problem with this question The angle θ is in the fourth quadrant, and tan θ = -3/7. Point P is on the terminal arm of angle θ. Which is a possible coordinate for P? A) -21,9 B) 9,-21 C) -9,21 D) 21,-9 -
## Pre-Calculus

Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this? My teacher just did this f(x) = x^2 g(x) 3x+9 ^I don't really understand h(x)=(x+5)(x-3) how would -
## Pre-Calculus

A wire from the top of a TV tower makes an angle of 49.5 with the ground and touches the ground 225 feet from the base of the tower. How high is the tower? -
## Pre-Calculus

From a point on the ground 25 ft. from the foot of the tree, the angle of elevation of the top of the tree is 32 degrees. How do you find the height of the tree to the nearest foot? -
## Pre-Calculus

One walker was sponsored $100 plus $5 for the first kilometre, $10 for the second kilometre, $15 for the third kilometre, and so on. How far would this walker need to walk to earn $150? (I know it is 4 km, but I can't figure out how to write the general -
## Pre-calculus

Find the values of x in the interval 0<=x<360 that satisfy the equation x=arcsin squareroot of 2/2. Express your answer in degrees. 360 degrees - 45=315 degrees. Is this right? -
## pre-calculus

What is the domain and range of log3 (1-x)? I will be happy to critique your thinking. To assist you, consider log (-4) log (0) log 25 Those are to the base 10, changing to another base just changes the numbers, not the function. -
## Pre-Calculus

Why does sin 30° = 150° (or sin π/6 = sin 5π/6)? Refer to both the unit circle and the graph of the sine curve. -
## Pre-Calculus

Verify the identity. cos x - sec x = -sin x tan x So far I have applied a reciprocal identity =cos x - 1/cos x I know I must combine using the least common denominator but I don't know how it would be written.