# Pre- Calculus

21,247 results, page 13

### Pre-calculus

Th weekly salaries of a sample of 100 recent graduates of a private women's college are normally distributed with a mean of \$600 and a standard deviation of \$80. Determine the interval about the sample mean that has a 1% level of confidence. Use t=2.58 Not sure if this is ...

Express 5-2i in polar form. Express your answer in radians to the nearest hundreth. r=sqrt5^2+-2i^2 which equals sqrt21.Arctan of -2/5+pi equals -18.7 Polar form=sqrt21 cis -18.7 Is this correct??

Express 5-2i in polar form. Express your answer in radians to the nearest hundreth. r=sqrt5^2+-2i^2 which equals sqrt21.Arctan of -2/5+pi equals -18.7 Polar form=sqrt21 cis -18.7 Is this correct??

Express 5-2i in polar form. Express your answer in radians to the nearest hundreth. r=sqrt5^2+-2i^2 which equals sqrt21.Arctan of -2/5+pi equals -18.7 Polar form=sqrt21 cis -18.7 Is this correct??

### 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?

### pre-calculus

solve the exponential equation. express the solution in terms of natural logarithims. Then, use a calculator to obtain a decimal point approximation for the solution. e^x=12.3 What is the solution in terms of natural logarithims? The solution set is ?

### Pre Calculus

Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression logb ^8xy in terms of the logarithms of x and y. a. logb^8 + logb x + logb^y b. logb^8+logbx c. logb^8+logby d. logb^8 + log8 x + log8^y e. logb^8+log8xy

### 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' for the bus company ...

Please check: 1.Find polar equation of x^2 + y^2 = 10y subbed r^2 for x^2 + y^2 and sin(theta sin for y =r^2=10sin(theta) 2. y=5 r=5/sin 3. x^2+y^2 =x^2 + y^2 =2x+3y

### pre-calculus-check over work

1). change to exponential form: log2^256=8; 2^8=256 log0.0001=-4; 10^-4=0.0001 2). change to logarithmic form: 5^3=125; log5^125=3 4^-3=1/64; log4^1/64=-3 3). solve the equation: 3^(x-2)=27^(x+1) 3^(x-2)=(3^3)^(x+1) 3^(x-2)=3^(3x+3) x-2=3x+3 -5=2x -5/2=x 2^(x^(2)+1)=4^(x+2) 2...

### Pre-Calculus

Let F1 = 219.5, F2 = 447.3, θ1 = 52.79◦, θ2 = 7.831◦. Find the magnitude of the resultant F1 _\|_ θ1 (in quadrant 3 positive) | F2 _|/_ θ2 (in quadrant 1 positive) | I know this is probably hard to understand but I cannot draw diagrams on here

### pre-calculus

find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^3-7x^2+20x-24 use the complex zeros to write f in factored form. f(x)= (reduce fractions and simplify roots)

### pre calculus

if there are initial 2500 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours cab n be found using the formula=N=2500(2^t).how long will it take the culture to grow to 75,000 bacteria.

### Pre-Calculus

A sailboat in a lake travels 4 km due north and then 4 km due west. From there, the boat travels 5 km due north and 4 km due west. How far is the bboat from the starting point? Express your answer as a mixed radical. (How would I use radicals for this??) Thanks!

### 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?

### Pre-Calculus

Solve for x,y,z, & w using the Gauss-Jordan Elimination Method 5x+3y+z+5w=-2 3x+2y+2z+4w=2 2x+4y+3z-3w=-11 4x-3y-2z+2w=-3 Can anyone help me please? Thanks.... What is the Gauss-Jordan Elimination Method?

### pre calculus

Hi, I am having a problem trying to find and understanding how to find the extreme values. I have a problem which I can't do. Will someone please explain for me how to do it. I would like to be able to do other similar problems. This is the problem I am stuck on: f(x)= x^4...

### pre calculus

Hi, I am having a problem trying to find and understanding how to find the extreme values. I have a problem which I can't do. Will someone please explain for me how to do it. I would like to be able to do other similar problems. This is the problem I am stuck on: f(x)= x^4...

### 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.

### pre calculus

Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a headache. HELP!

### Pre-calculus

The area of a triangle wall on a barn is 160 square feet. Its length is 4 feet longer than twice the width. Find the length and width of the wall of the barn

### Pre calculus

A woman went for a 48km drive in her car, partly in town in the country. She drove at an average of 40km/hr in town and an average speed of 50km/hr in the country. If the drive took her one hour altogether then how long did she drive in the country?

### Pre Calculus

Find the roots of the function g(x)=x^3 +16x a)0,4i, -4i b)0,-4,-4i c)0,4,4i d)0,4,-4 The equation can be rewritten x(x^2 + 16) = 0 The function is zero if x = 0, OR if x^2 = -16 That should give you a hint of what the roots are. So you take the square root of -16 which gives ...

### Pre-Calculus

As a balloon in the shape of a sphere is being blown up, the radius is increasing 1/pi inches per second. At what rate is the volume increasing when the radius is 1 inch? I know that the volume of a sphere = 4/3(pi)r^3 I don't know what to do next. Figure dV/dt dV/dr *dr/dt= ...

### Pre-Calculus

A pomegranate is thrown from a ground level straight up into the air at time t = 0 with velocity 67 feet per second. Its height at time t seconds is f(t)=-16^2+67t. (a) Find the time it hits the ground and (b) the time it reaches its highest point. (c) What is the maximum ...

### Pre-Calculus

You are given a pair of equations, one representing a supply curve and the other representing a demand curve, where p is the unit price for x items. −p+0.0208333333333333x+2=0 and p = √(57-x) What is the market equilibrium for x? I know I'm supposed to set both ...

### Pre-Calculus

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than ∠B2.) a = 34, c = 43, ∠A = 39...

### Pre-Calculus

It is well known that superman can withstand as much as 3 grams of Green Kryptonite indefinitely. However, exposure to more than 3 grams for more than 13 hours is fatal. Assume that Kryptonite decays at an hourly rate of 5.35% If superman is trapped in a room with 6 grams of ...

### Calculus

Hellp I have a calculus test on Monday 2. Calculate the slope of the tangent to the given function at the given point or value of x a. f(x)=3/x+1,P(2,1) b.h(x)=2/squareroot x + 5, P(4,2/3) ****Full solutions to please because I do not know what I'm doing and so confused with ...

### pre-calculus 11

I have the question what is the equation of the function in the form f(x) = 1/x-c for the function with a vertical asymptote at x=1? sketch the graph. I am uncertain how I plug this into a graphing calculator. Could I substitute 1 for x and then put an x in for c to input this...

### 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!

### Pre-calculus

State the period, phase shift, and vertical shift of the function y=tan(theta/2-pi/4)+3. Is this right? ANSWER: period:2pi phase shift:-pi/4 vertical shift:3

### Pre Calculus

17. population growing at an annual rate r will triple in a time t given by the formula t = ln 3/r If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? a. 6 . 6 years b. 1 years c. 5 . 3 years d. 2 . 2 years e...

### Pre-K class needs your help

I noticed that someone posted this question before but I wanted to see if there were anymore ideas...... I am a pre-K teacher, as well, and my class will be doing a unit on Community History.... what activities and worksheets could I give my students (pre-k) that connects to ...

### Pre-Calculus

10. Suppose the cost C of removing p% of the impurities from the waste water in a manufacturing process is given by a) Where does the graph of this function have a vertical asymptote? b) What does this tell us about removing the impurities from this process? c) Removing how ...

### Pre-Calculus

Not sure what to solve... I tried to solve it but i ended up proving that it worked. a. Find the equations of the tangents at C (-2,1) and D (1,2) on the circle x^2+y^2=5 b. Find the point of intersection of the tangents. ~What I did was find the slope and then B, within the ...

### pre calculus

1.) If h(x)= (fog)(x) and h(x) = 3 over the square root of x+3 , find g(x) if f(x)= 3 over the square root of x+2. my answer is x+1. Am I right? 2.)If f(x)=3x,g(x)=x-3,and h(x)= the square root of x, find (fogox)(X). I really didn't get this will someone please show me how to ...

### pre algebra

my grade is 83.17 in pre algebra in college, but the final exam is worth 300 points. If I got a B or B- or a C on the final, what would my grade be overall?

### Pre-calculus

Nathaniel pulls a sled along level ground with a force of 30 newtons on the rope attached to the sled. If the rope makes an angle of 20 degrees with the ground when it is pulled taught, find the horizontal and vertical components of the force. Round to the nearest tenth. ...

### math pre calculus

find the following for the function f(x)=(x+5)^2(x-2)^2 a.find the x and y intercepts, b.find the power function that the graph ressembles for large values of x c.determine the maximum number of turning points on the graph of f d.determine the behavior of the graph of f near ...

### pre calculus

use the seven step method to graph the following rational function: f(x)=3x^2+x-4/2x^2-5x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot the points between and beyond the x ...

### pre calculus

The age of a document is in dispute, so archaeologists test for carbon-14. Due to radioactive decay, the amount A of carbon -14 present compared to the initial amount A0 after t years is given by the formula A(t) = A0e^-0.000124t . If 72% of the original amount of carbon- 14 ...

### math: pre-calculus

You have 5 grams of carbon-14; whose half-life is 5730 years. a)Write the rule of the function that gives the amount of carbon-14 remaining after x years. b)How much carbon-14 will be left after 4,000 years? c)When will there be just 1 gram left?

### Pre-Calculus

translate this polar equation into a rectangular form: rsin(2theta)=sin(theta) My answer: r2sin(theta)cos(theta)=sin(theta) 2rcos(theta)=1 2x=1 x=1/2 This is the only answer I can get and someone told me it's wrong. Would someone please help me with this

### Pre-Calculus

A photogrpaher points a camera at a windows in a nearby building forming an angle of 42 degrees with the camera platform. If the camera is 52 meters from the building , how high above the platform is the window, to the nearest hundreth of a meter. The answer is 46.82m, i would...

### Pre-Calculus

I think I need help with this problem- 3+ square root(x-6) = square root of (x+9) I thought I should square everything to get rid of square root signs so I had 9 + x-6 = x+ 9 then I would have x+ 3once I subtracted 9-6 from the left side = x+9 on the right side which doesn't ...

Find the coordinates of the center of the ellipse represented by 4x^2 + 9y^2 – 18y – 27 = 0. For 2x^2 + xy + 2y^2 = 1, find , the angle of rotation about the origin, to the nearest degree. Find the distance between points at (–1, 6) and (5, –2). Identify the conic ...

### pre-calculus 11

I am asked to solve the absolute value equation of |1/2x +1| =x+1 graphically. I can solve this algebraically and consider two cases for the absolute value one being positive and the other negative. I know this will be a straight line and when I solved it algebraically x=0 the...

### pre-calculus 11

I am asked to solve the absolute value equation of |1/2x +1| =x+1 graphically. I can solve this algebraically and consider two cases for the absolute value one being positive and the other negative. I know this will be a straight line and when I solved it algebraically x=0 the...

### Honors Pre Calculus

Tony visits the local fair and sees one of the rides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. If it takes 12 seconds to make one full revolution, what is the equation of the height of a person on the ferris wheel at any time t?

### Pre- Calculus

An antenna is located at the top of a building 1000 ft tall. From a point on the same horizontal plane as the base of the building, the angles of elevation from the top and the bottom of the antenna are 65.8 degrees and 62.6 degrees respectively. How tall is the antenna. Thanks

### Pre-Calculus Questions

Hi! Can someone help me with these? Thanks! 1.) Determine the slope and the y-intercept of the equation of the line passing through the points (-5, 3) and (1, -3). Write the equation of the line in slope intercept form. 2.) Determine the x- and y- intercepts and use them to ...

### Pre-calculus

1. The graph of the equation y = x2 – 3 is symmetric with respect to which of the following? The answer is the y-axis . why? 2.The graph of an odd function is symmetric with respect to which of the following? the origin is the answer, why ?

### pre-calculus

THe sume of 2 positive numbers is 20. Find the two numbers such that 1) the sum of the square is minimum b) the product of one and the square is maximum. c) the product of the square and one and the cube of the other is maximum I will be happy to critique your work on this.

### Pre-Calculus

How can the following two identities be verified? 1. (cos^2y)/(1-siny)=1+siny 2. sin^2a-sin^4a=cos^2a-cos^4a Thanks! change cos^2a to 1-sin^2a=(1-sina)(1+sina) Thank you. I figured out the first one with your help, but I'm still stuck on the second. Any tips?

### Pre-calculus

For the ellipse with equation 5x^2+64y^2+30x+128y-211=0, find the cooridinates of the center, foci, and vertices. Then, graph the equation. my answer is: coordinates of center: (-3,1) foci:(-11,-1) and (4.7,-1) vertices: (-11,-1) (5,-1) (-3,-1+-square root of 5) not sure how ...

### pre calculus

Jack invests \$1000 at a certain annual interest rate, and he invests another \$2000 at an annual rate that is one-half percent higher. If he receives a total of \$190 interest in 1 year, at what rate is the \$1000 invested?

### Pre-Calculus

Two hoses together fill a pool in 2 h. If only hose A is used, the pool fills in 3 h. How long would it take to fill the pool if only hose B were used? I multiplied 3 and 2 and got 6 hours. Is this a valid method? Thanks

### pre cal

does anyone take pre-cal online ?

### Pre Calculus

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 there is a sqared and a square root, I am confused on how to go about it. Could you please head me in the right direction?

### Pre-calculus

A golf ball is hit with an initial velocity of 135 feet per second at an angle of 22 degrees above the horizontal. Will the ball clear a 25 foot wide sand trap whose nearest edge is 300 feet from the golfer? Will be through with all the word problems soon. I have managed to ...

### Pre calculus, vectors

A straight river flows at a speed of 20km/h. A boater starts at the south shore and heads in ths direction of 70degrees from the shore. The boat has a speed of 20km/h in still water. Find the true speed and direction of the boat.

### math: pre-calculus

If current rates of deforestation and fossil fuel consumption continue, then the amount of atmospheric carbon dioxide in parts per million (ppm) will be given by f(x)=375e^0.00609c, where c=0 corresponds to 2000. a)What is the amount of carbon dioxide in 2022? b)In what year ...

### Pre Calculus

At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is a rectanglar prism whose height is 3 inches greater than the length of each side of the square base. A machine pours 20 cubic inches of liquid glass into each mold. What are the...

### Pre Calculus

A piece of cardboard measuring 13 inches by 11 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. a. Find a formula for the volume of the box in terms of x b. Find the value for x that will maximize the volume...

### Pre-Calculus

Squares of side length x are removed from the 4 corners of an 11in by 8.5in piece of paper. The sides are then folded up to create an open-top box. Write a funcion that determines the volume of the box and determine the functions range. How much should be cut from the corners ...

### 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).

### Honors Pre-Calculus

The latitude of Durham, North Carolina is 36 degrees North. About how far from Durham is the North Pole? Use 3963 miles for the radius of the Earth. I believe there is a formula of s=r times the feta angle, but you may have to convert the degrees to radians. I'm not sure what ...

### Career Plans

What are some career plans to do with science? I really enjoy chemistry and geology. What are some career plans to do with English? Socials? I like math, but I don't like pre-calculus, I can do some bits of algebra, what does a civil engineer need?

### Pre Calculus

sec x = -2 , π ≤ x ≤ 3π Use a calculator to solve for x in the given interval 9)sinθ=0.1473, 0°≤θ≤90° A) -8.47° B) 8.38° C) 98.47° D) 8.47° 10) cosθ=0.7563,0°≤θ≤90° A) 37.10° B) 49.14° C) -49.14° D) ...

### Pre Calculus

The doubling period of a baterial population is 10 minutes. At time t=80 minutes, the baterial population was 50000 1What was the initial population at time t=0 2Find the size of the baterial population after 4 hours

### Pre Calculus

Assume that x, y and a are positive numbers. Use the properties of logarithms to write the expression loga x ^6y ^7 in terms of the logarithms of x and y. a. 42loga^x+y b. 42loga^x+7loga^y c. 6loga^ x + 42loga^ y d. 6loga^x+7loga^y e. 6loga^x+6loga^y

### Pre-Calculus

Verify the identity. (csc(2x) - sin(2x))/cot(2x)=cos(2x) =csc(2x)/cot(2x) - sin(2x)/cot(2x) =csc(2x)/cot(2x) - cos(2x) Is this correct so far? If so then how would I continue? I got stuck on this part...

### Pre-Calculus

You have been hired by the Humane Society to construct six animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the total ...

### Pre Calculus

You have been hired by the Humane Society to construct six 2 by 3 animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the ...

### Pre-Calculus

1) Use a graphing utility to obtain the graph of the function. Give the domain of the function and identify any vertical or horizontal asymptotes. x+4/ x^2+x-6. 2) Use a graphing utility to graph the function and determine the x-intercepts and B. set y=0 and solve the ...

### Pre-Calculus

Applications of Logarithms I really need help with this log stuff please. If the PH of acetic acid is 5, what is the PH of hydrochloric acid if it is 200 times more acidic? the formula is right here: P=P0*10^PH2-PH1 200=10^5-PH1 log200=(5-PH1)log10 And I don't know where to go...

### Pre-Calculus

Q.Determine the sum of each infinite geometric series. t_1= 8 r = -2^1/2 ---------------------------------------- A.This is a divergent series because the absolute value of r is greater than 1. ---------------------------------------- Q. The first term of an infinite geometric...

### pre calculus

Use the following conditions to create a sketch of the function by hand. a. vertical asymptote at x=3 b. x-intercept of 1 and 5 c. f(2)=f(4)=f(6)=3 d. increasing on [0,3) and [5,infinity) e. decreasing on (3,5] f. f(x) is an odd function I don't know how to graph this. It ends...

### Pre calculus

A tugboat is traveling at 30 miles per hour at a compass heading of 38 degrees. The current is from the direction of 125 degrees moving at 7 mph. Find the resultant speed and the direction of the boat. I understand the concept and that I must use the law of cosines. I got 30^2...

### pre-calculus

h(t)=15t + 1200 is a function that models the motion of a mountain climber. h(t) is his height above sea level at time t in minutes. 1a) the coefficient on t is 15. what does it tell you about the motion of the mountain climber? 1b) what does it tell you about the graph of h(t...

### Pre-Calculus-Trig

A boat travels for 8 kilometers in a straight line from the dock. It is then sighted from a lighthouse which is 6.5 kilometers from the dock. The angle determined by the dock, the lighthouse(vertex), and the boat is 25 degrees. How far is the boat from the lighthouse?

### pre-calculus

which expression is equivalent to (sinx+1)(sinx-1)? A.) COS^2X B.) -COS^2X C.) COS^2X+1 D.) COS^2X-1 E.) -COS^2X+1

### Algebra

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. Of ...

### Pre Calculus

The diameter of a ferris wheel is 250 feet and θ is the central angle formed as Dave travels around the wheel. Dave starts his ride at Point 0, makes 4 complete revolutions and stops at Point 1, 45 degrees from Point 0. If his ride takes 5 minutes, how fast was he going ...

### Algebra

I have a few questions on my Pre- Algebra Pre- test. I am in 7th grade. Anyone willing to help me for a few questions for 5-10 minutes?

### 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 the ship when it is at s?

If cos theta = 0.8 and 270<theta<360, find the exact value of sin 2theta a) -0.96 b) -0.6 c) 0.96 d) 0.28 Answer: b 2) If csc theta = -5/3, and theta has its terminal side in Quadrant III, find the exact value of tan 2theta a)24/25 b) 7/25 c) 24/7 d) -7/25 Thanks

### 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. ...

### 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 ...

### 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-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.