# Pre- Calculus

21,537 results, page 14

### Pre-Calculus

Rational Functions y = (x^2+7x-4)/(x-2) Since the degrees of both the numerator and denominator are the same, I would use the leading coefficient, and both the rational functions start with 1, so would the horizontal asymptote be 1? Also don't get how to find the horizontal ...

### Pre-Calculus

Solve the triangle. Round to the nearest tenth. B=54deg a=42 c=6.5 1. I found length of b using law of cosine and got 36.2 2. Using side of b, I used the law of sine to get angle A = 28.2 3. I added B+A and subtracted from 180 to get angle C = 127.8 which DOES NOT make sense ...

### Pre-Calculus

Find the coordinates of the center, the foci, the vertices, and the equations of the asymptotes of the graph of the equation: (x+1)^2/2-y^2/8=1. Center: (-1,0) foci:(-1+/-sqrt1, 0) vertices: (-1+/-sqrt2, 0) equations of the asymptotes: y-0=sqrt8/sqrt2(x+1) Is this correct and ...

### Pre-Calculus Algebra

A building is 2 ft from a 9-ft fence that surrounds the property. Worker wants to wash window in the building 13 ft from the ground. He wants to place ladder over fence so it rests against the building. He decides he should place the ladder 8 ft from the fence for stability. ...

### 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 one labeled "...

### Pre Calculus

The number of new accounts opened at a credit union in the years 2001 to 2006 can be approximated by the model N(t)= -80.6t^2+2100t+12000, where 11 <= t <= 16, with t = 11 corresponding to 2001. Using this model and your graphing calculator, determine the year in which ...

### pre-algebra

write an inequality for the sentence. The total t is greater than five. Well your answer is going to be T and the sign for greater than is simply >. So the answer would be T > 5 ok again my name is above. i was just wondering what pre-algebra was? i mean i take the ...

### Pre-calculus

You start from an acorn and walk 300 yards do north. Then, you turn N 63° E and walk 260 yards. Then, you turn S 55° E and walk 240 yards. Then you walk back to the little acorn.

### Pre-calculus

A set of data is normally distributed with a mean of 500 and standard deviation of 40. a). What percent of the data is between 460 and 540? P(460<x<540)=P(-1<z<1) =0.8413-0.1587 =0.6826 b). Find the probabilty that a value selected at random is less than 420. P(x&...

### Pre Calculus

I keep trying to solve this by factring but I can't seem to get! It's so frustrating! The problem is 1+tan2x=0 This is how I worked the problem before: 1+((2tanx)/(1-tan^2x))=0 ((2tanx)/(1-tan^2x))= -1 Then I cross multiplied to get: -1 + tan^2x = 2 tanx Than I rearranged ...

### Pre-Calculus

Rewrite each quadratic equation in the form ax^2+bx+c=0. Then,use technology to solve each by graphing. ROund you answers to the nearest hundredth, where necessary. a) 3x^2+30 = -19x Answer: 3x^2+19x+30 Roots: x = -3 b) 6x^2= 25x-24 Answer: -6x^2+25x-24=0 Roots: x = 1.5 c) -33...

### Pre-Calculus

This question has me stuck. Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these identities and other fundamental identities.

### Pre-Calculus

Please check my answer: I think it's correct? 1.Find polar form of (-3,2) r=sqrt of (-3)^2 + 2^2)=sqrt (13) = 3.61 tan^-1(2/-3) = 33.79 180-33.79 = 146.31degrees polar points are (sqrt13,146.31degrees) 2. Rectangular form of (3,112degrees) 3cos112= (-1.12) 3sin112=2.78 ...

### Pre-Calculus

Two barges are pulling a ship into the harbor. Barge A is pulling with a force of 2700N at N43 deg E, and barge B is pulling at S 50 deg E. What force must barge B exert so that the ship is pulled directly East?

### Pre Calculus

Having trouble verifying this identity... cscxtanx + secx= 2cosx This is what I've been trying (1/sinx)(sinx/cosx) + secx = 2cosx (1/cosx)+(1/cosx) = 2 cosx 2 secx = 2cosx that's what i ended up with, but i know it's now right. did i mess up with the algebra?

### 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 hours.

### Pre-calculus

Let z and w be complex numbers such that |2z-2|=25, |z+2w|=5, and |z+w|=2. Find |z|. I first squared both equations and expressed the square of the magnitudes in terms of the complex numbers and its conjugates. Next, I summed the equations together and attempted to solve for |...

### Math

This question is from my workbook (Pre-Calculus 11). Can someone please help me understand it? Suppose theta is an angle in standard position with terminal army in quadrant III and tan theta = 6/3. Determine the exact calues of the other two primary trigonometric rations. In ...

### Pre-calculus-check answers

Write the polynomial equation of least degree that has the roots: -3i, 3i, i, and -i. Answer: (x+3i)(x-3i)(x-i)(x+i)=x^4+x^3-x^3i+9x^2+9x-9xi-9i 2)Determine if the expression 4m^5-6m^8+m+3 is a polynomial in one variable. If so, state the degree. Answer: It is a polynomial in ...

### Pre-Calculus

P= -0.0001x^2+70x-350000 By graphing this what would be the number that would produce a maximum profit. I tried grapghing it but my calculator is not working with me! Is There another way to find the maximum number that would produce the maximum profit?

### pre calculus

can you check this question? An object moving vertically is at the given heights at the specified times. Find the position equation s = at^2 + v0t + s0 for the object given the following conditions. •At t = 1 seconds, s = 48 feet •At t = 2 seconds, s = 64 feet •At t = 3 ...

### Pre-Calculus

A gardener has 72' of edging. She wants to use it to enclose a 125 square foot rectangular area; she does not have to use up all of the edging. What are the possible lengths that a side of the rectangle can have? Answer using interval notation. Hint: If the length of the ...

### pre - CALCULUS

Complete the following: (a) Use the Leading Coefficient Test to determine the graph's end behavior. (b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis and turns around at each intercept. Show your work. (c) Find the y-intercept. Show ...

### Pre-Calculus

help please Identify the slope and intercept of the following linear equation. y=3/7x-5 Slope: 3/7; intercept: 5 Slope: -5; intercept: 3/7 Slope: 5; intercept: 3/7 Slope: 3/7; intercept: -5

### Pre-Calculus

The Hotel Bellville has 400 rooms. Currently the hotel is filled . The daily rental is $ 250 per room. For every $ 14 increase in rent the demand for rooms decreases by 5 rooms. Let x = the number of $ 14 increases that can be made. What should x be so as to maximize the ...

### Pre-Calculus

I don't understand,please be clear! Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z - sin^5 z

### Pre-Calculus

A gardener has 100' of edging. She wants to use it to enclose a 130 square foot rectangular area; she does not have to use up all of the edging. What are the possible lengths that a side of the rectangle can have? Answer using interval notation. Hint: If the length of the ...

### Pre-Calculus-check answers

State the period and phase shift of the function y=-4tan(1/2x + 3pi/8) a) 2pi, -3pi/4 b) pi, 3pi/8 c) 2pi, 3pi/8 d) pi, -3pi/8 Answer: d 2) What is the equation for the inverse of y=cos x+3: a) y=Arccos(x+3) b) y=Arccos x-3 c) y=Arccos x+3 d) y=Arccos(x-3) Answer:d Thanks for ...

### Pre-Algebra: Help

I have to do a webquest for pre-algebra and we have to make up a fundraiser thing, I need a list of things that one needs for a charity fundraiser, such as chairs, buffet tables, tables, tents, tablecloths. HELPP

### Pre-Calculus-check answers

How many ways can 5 students be chosen from a group of 4 juniors and 6 seniors to be on the prom committee if exactly 3 students must be seniors? Answer: 5400 Find the probability of getting a sum of 5 on the first toss of two number cubes and a sum of 6 on the second toss. ...

### pre-calculus

solve the logarithmic equation. be sure to reject any value of x that is not in the domain of the orginal logarithmic expression. In square root of x+2=2 (If I try to make the square root sign it will not come out right so I wrote it out instead) What is the exact solution. A...

### Pre-Calculus

A drug manufactured by a pharmaceutical company is sold in bulk at a price of $150 per unit. The total production cost (in dollars) for x units in one week is C(x) = 0.02x^2 + 100x + 3000. How many units of the drug must be manufactured and sold in a week to maximize the ...

### pre calculus

I believe that the domain for f(x) = log subscript 3 (1-x) is x is a real number I think the range for the same equation is y > 1 . the domain of log (1-x) would be such that 1-x > 0 -x>-1 x < 1 whereas the range would be y is any real number Have you considered ...

### Pre-Calculus-Trig

A straight road slopes at an angle of 10 degrees with the horizontal. When the angle of elevation of the sun (from horizontal) is 62.5 degrees, a telephone pole at the side of the road casts a 15 foot shadow downhill, parallel to the road. How high is the telephone pole?

### Calculus

What is the simplest solution to the Brachistochrone problem and the Tautochrone problem involving calculus? (I know that the cycloid is the solution but I need a simple calculus proof as to why this is the case)

### Pre Calculus

Determine two coterminal angles (one positive and one negative) for θ = −503°. a. 217°,− 323° b. 217°, − 143° c. 307°, − 413° d. 127°, − 323° e. 127°, − 233°

### Pre-Calculus

Sales of ski equipment varies through the year from highs in January & December of $20 million, to a low in June of $2 million. Write a trigonometric function that describes this cycle. Calculate the expected sales for April. I think I got the first part: 9cos(pi/6) + 11 I am ...

### pre-calculus 11

an object has a mass of m= 3x/4x^2 and density of d=x-1/2^2 where ve m/d and state any restrictions on the variable. So this simplifies to v=3x/2x-2 my question is the restriction i have found is x cannot be 1 which would make the denominator zero. Do I have to be concerned ...

### Pre Calculus

The population P of a culture of bacteria is described by the equation P = 1600e^0.052t where t is time, in hours, relative to the time at which the population was 1600. (a) What was the population at t = 6 hours? Show your work. (b) After how many hours will the population ...

### Pre Calculus

please help me with this problem? I don't know how ro do it. please show me step by step. Write the slope intercept form the equations of the lines through the given point parallel to the given line and (B) perpendicular to given line. point slope ((7,-2) m= 1/2

### Honors Pre-Calculus

You are traveling in a car toward a certain mountain at a speed of 80km/hr. The apparent size of the mountain is .5degrees. Fifteen minutes later the same mountain has an apparent size of 1 degree. About how tall is the mountain? I believe you must convert the degrees to ...

### Pre-Calculus

Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z - sin^5 z

### Pre-Calculus

The population of a particular type of bacteria doubles in number every 12 hours. a)if there are 8 bcteria initially, write an equation that models the number of bacteria present after x 12 hours. b)How many bacteria will be present after 5 days? by using this formula N(t)=N0(...

### pre-calculus

How do you write the standard form of the equation of the line passing through the points M(-4,-2) and N(4,7)? How do you find the slope-intercept form of the equation of the line passing through the points P(2,-9) and Q(3,-7)?

### pre-calculus

How do you write the standard form of the equation of the line passing through the points M(-4,-2) and N(4,7)? How do you find the slope-intercept form of the equation of the line passing through the points P(2,-9) and Q(3,-7)?

### math 10 pre calculus

12. An avalanche rescue team travels 8.55 km along a snow-covered trail. For the first section, the trail is flat. The team averages a speed of 2.7 km/h. Then, the terrain becomes mountainous and their average speed is only 1.2 km/h. The one-way trip takes the team 4.0 h. ...

### Pre Calculus 1

thirty percent of a radioactive substance decays in four years. assuming the decay is exponential, find the half life of the substance. the beginning of 1975 the population of a country was 40 million and growing at a rate of 3% per year. Assume that the growth is exponential...

### Pre-Calculus

Find the twelfth term of the geometric sequence: 1/16, 1/8, 1/4.... Common ratio: 1/2 I got the ratio by dividing 1/16 by 1/8 which gave me 1/2 and I divided 1/8 by 1/4 to get 1/2-----That is how I got a common ratio of 1/2. In order to obtain the 12th term I think I messed up...

### math

8. In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra, and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 liked geometry and algebra but not calculus. ...

### Pre Calculus

a biologist has three salt solutions: some 5% solution, some 15% solution, and some 25% solution. She needs to mix some of each to get 50 liters of 20% solution. She wants to use twice as much of the 5% solution as the 15% solution. How much of each solution should she use? I'...

### Pre Calculus 2

A ship regularly travels between two ports that are 350 miles apart. When traveling directly from A to B, the ship sails on a bearing of . However, to avoid a storm, one day the ship leaves A on a bearing of and travels for 6 hours at 17mph. When the bad weather has passed, it...

### pre calculus

find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number of turning pointsof the graph of f. d.) ...

### Pre-Calculus

Tommy is building a rectangular playpen for his pigs where one side of the play area is a side of his barn. He has enough material to make a fence with a total length of 160 feet. write a función that represents the playpen's área in terms of its length perpendicular to the ...

### Pre-calculus.

Wesley and Delia are playing a math game. Wesley gives Delia these step to follow. Step 1: Multiply a number by 6 and then subtract by 4. Step 2: Divide the result by 2 Step 3: Add 3 to the result from the second step. If Delia's final answer is 19, What was the original ...

### Pre calculus

Find the domain of the function. f(x) = sqrt 6-x A. (-∞, 6) (6, ∞) B. (-∞, sqrt6 ) (sqrt 6 , ∞) C. (-∞, sqrt6] D. (-∞, 6]

### accounting

I am showing a $8100 debit balance on prepaid insurance at the end of august. The pre-paid insurance was purchased in Feb. for 12 months. what should my adjusting entry to pre-paid insurance be for the month of Sept. which is the end of my fiscal year? Those are the only ...

### pre-calculus

While pulling a stalled car, a tow truck's cable makes an angle of 50 degrees above the road. If the tension on the tow truck's cable is 1600 newtons, how much work is done by the truck on the car pulling it 1.5 kilometers down the road? The answer is 1,542,690 N . m I don't ...

### Pre-Calculus

Let f(x) be the function 1/(x+9). Then the quotient [f(5+h)−f(5)]/h can be simplified to −1/(ah+b). What does a and b equal to? So I understand the overall concept, and did f(5+h) = 1/(14+h) and f(5) = 1/14. Then to subtract the two, you get the common denominator ...

### pre-calculus 11

I have a question that two ski decide to have a race. I need show a graph of height versus time of the two skiers going over a jump. I am assuming that both skiers graphs would be parabola's and have a maximum height with both graphs opening downward.

### Chemistry

Consider the data below Temperature (0C) Diffusivity (m2/s) 736 2 x 10-13 782 5 x 10-13 835 1.3 x 10-12 Given this data, determine the activation energy for the diffusion process (units of Joules per atom or molecule) in this material and the pre-exponential factor (use units ...

### Pre-calculus

A surveyor sets a stake and then walks 150 feet north, where she sets a second stake. She then walks 300 feet east and sets a third stake. How far from the first stake is the third stake? Round to the nearest tenth. Thanks for your help.

### Pre-Calculus

Draw the picture and find the area of the parcel of land. Circle your to partial areas and your total area. You start herman a corn and walk 300 yards due north. Then, you turn N 63 degrees E and walk 260 yards. Then, you turn S 55 degrees E and walk 240 yards. Then, you walk ...

### Pre-calculus-check answers

Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1

### 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 should the company offer ...

### pre-calculus

I have absolutely no idea even where to start. Please help! The carnival has come to town with a ferris wheel that has a radius of 30 feet. People get on when passenger compartments are at the lowest, 2 feet off the ground. The wheel makes a full revolution in 20 seconds. ...

### 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 minutes. (c) How many ...

### Pre-calculus

Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for an inverse function ...

### Pre-Calculus

When buying gasoline, you notice that 14 gallons of gasoline is approximately the same as 53 liters. Use this information to find a linear model that relates gallons to liters. Then use the model to find the number of liters in 25 gallons. Round your answer to the nearest tenth.

### pre-calculus 11

I have the question y=-|x^2 -9| I am asked for the piecewise function. I have written y={-x^2 +9 if x less than equal to -3} { x^2 -9 if x is greater than equal to 3} I am wondering if I have my are signs backwards.My reasons for choosing the signs I have is if I plug a ...

### pre-calculus 11

I have the question y=-|x^2 -9| I am asked for the piecewise function. I have written y={-x^2 +9 if x less than equal to -3} { x^2 -9 if x is greater than equal to 3} I am wondering if I have my are signs backwards.My reasons for choosing the signs I have is if I plug a ...

### physics

A spring is manufactured with a pre-load. A force of 34.5 N compresses the spring by 1.5 cm. A force of 57.0 N stretches the same spring 0.03 m. Find the spring constant k (in N/m) and pre-load Fi (in N) that satisfies the linear equation describing this force, F = kx + Fi. F...

### Honors PRE CALCULUS

Three different weights are suspended from three different springs. Each spring has an elasticity coefficient of 18.5. The equation for the vertical displacement is y= 1.5cosine(t times the square root of k/m), where t is time, k is the elasticity coefficient, and m is the ...

### Honors PRE CALCULUS

Three different weights are suspended from three different springs. Each spring has an elasticity coefficient of 18.5. The equation for the vertical displacement is y= 1.5cosine(t times the square root of k/m), where t is time, k is the elasticity coefficient, and m is the ...

### Math/Pre-calculus

Assume that the number of bacteria follows an exponential growth model: P(t)=P0e^k/t. The count in the bacteria culture was 400 after 10 minutes and 1500 after 35 minutes. (a) What was the initial size of the culture? (b) Find the population after 85 minutes. (c) How many ...

### Math, Pre-Calculus.

A postal airplane leaves lsland A and flies 91 miles to Island B. It drops off and picks up mail and flies 63 miles to lsland C. After unloading and loading A- mail, the plane returns to lsland A at an average rate of 300 miles per hour. How long does it take the pilot to ...

### Pre-Calculus

Each second after shut-off, the speed of the blade is 2/3 of the speed in the previous second. After the first 8 s, the saw has turned 258 times. What was the speed of the saw before the motor shut off, to the nearest tenth of a turn per second? I get 805.4 but I don't think I...

### Calculus grade 12 exam review PLEASE HELP ASAP !!

PLEASE HELP ME! Exam is in an hour and i need to finish this exam pre-test to help me ! consider the function y = 2sinx a) determine dy/dx b) calculate the exact value of x for which the slope of the tangent to the graph is √2 in the interval [0, pie] c) determine the ...

### Pre-Calculus

I want to learn how to find the domain, holes, x-intercepts, y- intercepts, vertical asymptotes, and horizontal asymptotes of a rational function. I know it is against the rules in jiskha to do the homework for the students but if I have been looking over my notes and I just ...

### 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 ladder to the nearest ...

### Pre Calculus 12 urgent

andrew is working on a binomial problem (1/2x-y)^7. He asks u to : i) what the coefficient of the 6th term ii) find the term that has the variabes x^47^3 (ex. 34x^4y^3) iii) find the first three terms of the expansion I really need help with that ^ . I know the powers of A ...

### Pre -calculus

An observer 2 km from the launching pad observes a vertically ascending missile at an angle of elevation of 21 degrees. 5 seconds later the nagle has increased to 35 degrees. What was its average speed during this interval? If it keeps going vertically at the same average ...

### Pre-Calculus

Which one of the following situations would have a graph that is a constant function? (5 points) (Points : 5) The amount of money that someone earning $10.75 per hour would make The total number of days in September each year The amount of rainfall in New York throughout the ...

### Pre-Calculus-check answers

The graph of the equation y=x^3-x is symmetric with respect to which of the following? a) the x-axis b) the y-axis c) the origin d) none of these Answer: c 2) The graph of an odd function is symmetric with respect to which of the following? a) the x-axis b) the y-axis c) the ...

### Pre-calculus

Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1

### pre-calculus

Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1

### 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 their impact on the ...

### Pre-Calculus

A piece of equipment has cost function C(x)=50x^2 + 1000 and its revenue function is R(x)= 500x - x^2, where x is in thousands of items. What is the least number of items that must be sold in order to break even? 50x^2 + 1000 = 500x - x^2 50x^2 + x^2 + 500= 0 51x^2 + 500 = 0 ...

### Pre Calculus

In exercise 100, you are given the dollar value of a product in 2005 and the rate at which the value of the product is expected to change during the next 5 years. Use this Info. to write a linear equation that gives the dollar value V of the product in terms of the year t. (...

### Pre-Calculus

(not sure how to type square root of) square root of 3x - 4 = (x-4)^2-3 Normally, I either take the square root of both sides or I square both sides. Since one side of the equation is square root of 3x-4 and the other side is (x-4) squared - 3, I am confused on how to go about...

### Pre-Calculus

Big Bob is trying to shape up for the summer. He begins on the first day of his exercise program with 3 sit ups. Each day he will do 4 more sit ups than the day before. On what day will Big Bob do 115 sit ups?

### 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 markers that you have ...

### statistics

Pre study scores versus post-study scores for a class of 120 college freshman english students were considerated. The residual plot for the least squares regression line showed no pattern. The least square regression line was y = 0.2 + 0.9x with a correlation coefficient r = 0...

### Pre-Calculus/Trig Check please and help

Could someone please check the first one and help me with the second one. I'm stuck-Thank you 1.What are theroots of the following polynomial equation? (x+2i)(x-5)(x-2i)(x+8) = 0 I think the roots are -2i,5,2i,-8-you take out the roots as opposites of what are in the equaion ...

### pre-calculus

An open box is made from a square piece of material 36 inches on a side by cutting equal squares from the corners and turning up the sides. Use your calculator to find the maximum volume this box can hold. I got the equation 4x^3-36x^2+1296x = V But when I put it in the ...

### Pre Calculus 12

The height h, in metres, above the ground of a car as a ferris wheel rotates can be modelled by the function h(t) = 18cos(πt/80) +19 what is the minimum height of a car? do i like subtract 19 from 18 ? what is the maximum height of a car? do i add the 19 to 18? how long ...

### Pre-Calculus

A person flying a kite holds the string 4 feet above ground level. The string of the kite is taut and makes an angle of 60° with the horizontal (see the figure). Approximate the height of the kite above level ground if 500 feet of string is payed out. (Round your answer to ...

### pre-calculus

Almonds cost fiver per pound and cashews cost nine per pound. How many pounds of almonds should be mixed with the cashews to make 10 pounds of a mix that sells for eight dollars per pound?

### Pre-Calculus

The period T (in seconds) of a simple pendulum is a function of its length l (in feet), given by T(l) = 2pi sq root of l/g, where g = 32.2 feet per second per seconds is the acceleration of gravity. Express the length l as a function of the period T. If T=2pi*sqrt(l/g) then do...

### pre - CALCULUS

Use Cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + y = 8 6x + 3y = 24 A. system is inconsistent B. system contains dependent equations b ?