# Pre- Calculus

21,152 results, page 15

### pre-calculus

The Hotel Florence has 550 rooms. Currently the hotel is filled . The daily rental is $ 700 per room. For every $ 14 increase in rent the demand for rooms decreases by 7 rooms. Let x = the number of $ 14 increases that can be made. What should x be so as to maximize the ...

### pre-calculus

a cliff is 125ft high. the angle of depression of a ship from the top of the cliff is 14.6 degrees. determine the distance of the ship from the foot of the cliff. so the angle to the right of the 90 is 14.6 and the side opp. that is 125ft. how do i find the x. wat function ...

### Pre-Calculus follow up question Reiny

Determine the number of triangles that can be formed with the given information. and if it forms two possible triangles solve all unknown angles and sides Angle A=116 degrees a=10 b=11 but if you add 81.4 (measure of angle B) plus 116 (measure of angle A) you get 197.368 which...

### pre-calculus

two gears are connected by a belt. the large gear has a radius of 20cm while the small gear has a radius of 10cm. if a point on the small gear travels at 16 rpm (revolutions per minute), find the angular velocity of the large gear. Tip: first find the velocity of the belt

### pre-Calculus

Make a conjeture about the symmetry of a) a product of two odd functions b) a product of two even functions c) a product of an odd function and an even function

### 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 represents acceleration due to...

### Pre Calculus

As x increases from p/4 to 3p/2, the value of sin(x) : A.increases throughout the interval B.decreases at first, then increases C.increases at first, then decreases D.decreases throughout the interval E.none of the above please explain why the answer is as it is, I don't ...

### pre calculus

2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. y= -2 lxl +2 For example, if you were asked to graph y= x^2 + 1 using transformations, you would show the graph of y= x^2 and the graph shifted ...

### 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. 466p+90x−2390=0 and 484p−22x−978=0 Determine the revenue function. Revenue function R(x)=? I got (-90x/466...

### Pre-Calculus

The base of the fish tank below has a length of 40 inches, a width of 20 inches, and height of 1.5 feet. The tank starts off with a water depth of 7 inches. You then add water to the tank at a constant rate such that the water level increases 1 inch every 2 minutes. Wirte a ...

### pre calculus

a satellite is launched to take pictures during its orbit. its low and high points over the surface of the earth are 119 and 122800 miles. Find the polar equation if the center of the earth is the focus. assume that the earth has a radius of 4000 miles. Then find how far away ...

### Pre-Calculus

Composition of Functions f o g(x)=f(g(x)) --> I know that this is eqivalent to f(g(x)) Given f(x) = 2x+1, and g(X) = 3x+1 find:f o g(x)=f(g(x)) This is what I did, but I don't think Ive solved it correctly f(g(x)) = f(x-3) f(x-3) = 1(x-3)-3x+2 =x-3-3x+2 f(g(x)) = -2x-1 The ...

### Pre-calculus

The angle of elevation from the end of the shadow to the top of the building is 63 degrees and the distance of 220 feet. 1) Find the height of the building to the nearest foot 2) find the length of the shadow to the nearest foot If 0 degrees </= 360 degrees, solve the ...

### Pre Med Major

Hi. I am an accounting major. Is there anyway I can finish my accounting degree and still finish the pre med requirements in 4 years? Can an Accounting major become a MD? I know about MCAT and everything.

### Pre-calculus-check answers

Describe the linear programming situation for this system of inequalities where you are asked to find the maximum value of f(x,y)=x+y. Answer: an optimal solution 2)Describe the linear programming situation for this system of inequalities: Answer: an optomal solution

### Pre-Calculus-check answers

Describe the linear programming situation for this system of inequalities where you are asked to find the maximum value of f(x,y)=x+y. Answer: an optimal solution 2)Describe the linear programming situation for this system of inequalities: Answer: an optomal solution

### Pre-Calculus check answers

Describe the linear programming situation for this system of inequalities where you are asked to find the maximum value of f(x,y)=x+y. Answer: an optimal solution 2)Describe the linear programming situation for this system of inequalities: Answer: an optomal solution

### Pre-Calculus

I need help-I do not understand. The question is this: Write 2x+y=5 in polar form. By following the example in the book I get: 5sqrt5/5=1/sqrt5*sqrt5/2. I do not know how to proceed but the answers I have to choose from are: a) -sqrt5=r cos(theta-27 degrees) b) sqrt5=rcos(...

### Calculus Pre Test Monday Part 3

The height, in metres, of an object that has fallen from a height of 180 m is given by the position function s(t)=-5t^2 +180, where t >0 and t is in seconds. a. Find the average velocity during each of the first two seconds. b. Find the ...

### Pre-Calculus

It has been found that the supply of golf clubs varies linearly with its price. When the price per item was $ 76.00 ,32 items are supplied; When the price was $ 90.25 , 70 items are supplied. What is the lowest price above which golf clubs will be supplied ? So I know the ...

### college pre-calculus

4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius? A. center (2,3) radius=1/4 B. center (2,3) radius=1/2 C. center (-2,-3) radius=1/4 D. center (-2,-3) radius=1/2

### 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 tadio tower?

### Pre Calculus

1. A rectangular box has a square base, four sides, but no top. It has a volume of 20 cubic feet. Let A be the surface area of the box, and L the length of one side of the base. (a) The volume is measured in cubic feet. What units are convenient to use for the area A and the ...

### Pre-Calculus

The amount of force required to compress a spring is inversely proportional to the distance that it has been compressed. For one certain spring, it takes 5 pounds of force to compress it from its natural length of 18 inches down to 12 inches. How much force would be required ...

### Pre-Calculus

Two lookout towers are situated on mountain tops A and B, 4 mi from each other. A helicopter firefighting team is located in a valley at point C, 3 mi from A and 2 mi from B. Using the line between A and B as a reference, a lookout spots a fire at an angle of α = 42° ...

### pre calculus

32% of a particular radioactive substance disappears in 227 years. Part 1: Find the decay constant. Your answer must be correct to five decimal places. Part 2: Determine the time T in years required for 93% of the substance to disapper. Your answer must be correct to two ...

### Pre-calculus- URGENT

Convert the rectangular coordinate (-8,i (square root of 3) into polar coordinates. How do I do this?? I tried every way I knew of to convert the y coordinate (i (square root of three)) to polar form, but it didn't work. I think that the polar form of the x coordinate is ...

### Pre - CALCULUS

For the data set shown by the table, a. Create a scatter plot for the data. (You do not need to submit the scatter plot) b. Use the scatter plot to determine whether an exponential function or a logarithmic function is the best choice for modeling the data. Number of Homes ...

### child care

hi im doing my assignment in child care level 3 and i need to answer this question ,(describe ways that parents may participate in a pre school's activites to promote their children's learning and development) and (discuss how a pre school can encourage parents to participate ...

### Pre Calculus 30

1.How many positive integers five-digit integers end with the digit 0? 9x10x10x10x? what number would represent zero 2.Using the digits {1,2,5,6,7,9} and not allowing repetition of digits, how many positive three-digit integers can be made that are larger than 500? 9x5x4 3....

### Pre Calculus

The logistic growth function P(t)= 160/ 1 + 9e^-0.165t describes the population of the endangered species of elk "t" years after they were introduced into the habitat. a. How many elk were initially introduced into the habitat? b. How many elk are expected after 6 years? What ...

### Pre calculus

You have a wire that is 71 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the ...

### Pre Calculus

Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) cos(7ð/4) (g) sec(ð/6+2ð) (h) csc(2ð &#...

### Pre Calculus

Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) cos(7ð/4) (g) sec(ð/6+2ð) (h) csc(2ð &#...

### 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 the triangle ...

### Pre-Calculus

A machine worth $ 11000 new and having a scrap value of $ 10995.6 is to be depreciated over a 4.4 -year life. Find the function that describes straight line depreciation for this situation. At what time will the machine be worth $ 10997.8 according to this model? So I know ...

### Pre-Calculus HELP!!

The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year: f(x)=11+2.2sin(2pi/365)t-1.25).How many hours of daylight are there on the twelfth day of the year? Round the ...

### Pre-Calculus-Trig

Two surveyors, Joe and Alice, are 240 meters apart on a riverbank. Each sights a flagpole on the opposite bank. The angle from the pole to Joe (vertex) to Alice is 63 degrees. The angle from the pole to Alice(vertex)to Joe is 54 degrees. How far are Joe and Alice from the pole?

### pre-calculus

In the following exercise, find the smallest interval for theta [from this point on i will denote theta as '*' for ease of typing] starting with * min= 0 so that your graphing utility graphs the given polar equation exactly once without retracing any portion of it. r= 4sin(*) ...

### Calculus

How do you simplify vectors? 1)AB + BC + CD 2) BC - FE - BA + DE - DC Calculus - Steve, Tuesday, September 22, 2015 at 11:39pm AB+BC = AC so, AB+BC+CD = AD BC-DC = BC+CD = BD See if you can use that idea to rearrange +/- terms so the ends line up in order Calculus - Anonymous...

### pre calculus

You are building a (rectangular) pool in your backyard. It measures 30m in the north-south direction and 25 meters east-west. (Some pool!) The bottom of the pool is a slanted plane so that it's 1m deep along the southern edge and 10m deep along the northern edge. (As I said, ...

### pre calculus

Question 1: Explain why the equation of the line y=5 has a slope that is undefined. Explain in words or mathematically. Question 2: Given any circle, the coordinates of one endpoint of a diameter is (3,-2). If the coordinates of the center are (2,-4), find the coordinates for ...

### pre-calculus 11

The question is the roundtrip flight from Edmonton to Toronto covers a distance of 5400km in 7.6 hours. The speed from Edmonton to Toronto was 95 km/h faster than the speed from Toronto to Edmonton. What was the speed of the plane from Toronto to Edmonton? If i set up my ...

### pre-calculus

st andrews golf course in st andrews scotland is one of the oldest courses in the world. it is an 18-hole course that consists of par-3 holes, par-4 holes and par-5 holes. a golfer who shoots par at the old course at st andrews has a total of 72 strokes for the entire course. ...

### Pre-Calculus

A car manufacturing company (the Company) can produce a car for $3000.00 and a truck for $5000.00. Suppose "C" cars and "T" trucks are sold to the dealer at mark-ups, respectively, of 20 and 30 percent. If the Company made a profit of $27 million on sales of $137 million in ...

### Pre-Calculus

Hello, A projectile is launched straight up from the ground with an initial velocity of 320 ft/sec. a. When will the projectiles height above the ground be 1024 ft? For this I got 16 seconds b. When will the height of the projectile be at least 24 ft? I am not sure how to ...

### 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 except x = 6 0 &...

### pre-calculus 11

I have f(x) + 1/ x-c this is the question and I am told for the function with a vertical asymptote at x=1 Mr. Reimy was kind enough to provide this information comparing it to y = 1/x for the first interpretation the graph of y = 1/x would simply be translated vertically by c ...

### Pre-Calculus

Exponential Functions A=P(X)^t/n A-final amount P-initial amount X-growth rate t-time n-number of growth periods The teacher had this question as an example and did it however i do not understand one thing: The Ebola virus double every 30 min. If there are currently 2000 ebola...

### 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 % rate given only ...

### pre calculus

A projectile is fired straight upward from ground level with an initial velocity of 320 feet per second. (Assume t = 0 seconds corresponds to the time the object is fired. Use 32 feet/second2 as acceleration due to gravity.) (a) At what instant will it be back at ground level...

### pre-calculus urgent

The first term of an arithmetic sequence is 6, and the tenth term is 2. (a) Find the common difference d. d = Find the 100th term of the sequence. a100 = (b) Find the partial sum of the first ten terms. S10 = how do i do this, there's an example I tried following but it did ...

### Pre-Calculus

A window has the shape of a square surmounted by an isosceles triangle. The sides of the square are length x. The The perimeter of the window is 90 inches. Thus, the perimeter of the triangle is x+2y. So, 90 inches = 3x+2y. (a) Write an equation for the area of the window in ...

### math-calculus

1.For any function y+f(x), express dy/dx using limit notation. Give a clear explanation for your given answer. you probably meant to type y=f(x) By definition dy/dx = Limit (f(x+∆x) - f(x))/∆x as ∆x-->0 The explanation of this equation is the whole basis ...

### 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 is the time between ...

### pre algebra

molly paid 8% in sales tax on her holophone,a phone that shows the person you're talking to in 3D. if molly paid $416 in sales tax on the phone, what was its pre-tax price?

### calculus

Can someone please tell me what the word "WHOLE" AND "IRRATIONAL" MEAN IN CALCULUS? THANKS

### Math:Calculus

Use the Fundamental Theorem of Calculus to find the derivative of g(x)=1/(1+t^5)dt in the interval 1 to x.

### Calculus

Use fundamental theorem of calculus: Int(pi/2_pi) of e^(sin(q))*cos(q)dq

### calculus

Use the Fundamental Theorem of Calculus to find G'(x) if: G(x)=∫ up(x²) bottom(1) cost dt

### calculus

calculus. suppose dR/dt= (d/R)^(2) and P(1) 4. separate the differential equation, integrate both sides

### Calculus

Use the second fundamental theorem of calculus to find F'(x) F(x)=The integral from 0 -> x^2 (Sin(x)^2)dx

### pre-calculus

It has been discovered in a certain state that the relationship between the number of snow shovels demanded varies linearly with its price. When the price per item was $ 38 ,2200 items were demanded; When the price was $ 49 , 2125 items were demanded. Determine the price per ...

### Pre-Calculus

I'm having trouble with this question. The number of horse-power H required to overcome wind drag on a certain automobile is approximated by: H(x)= 0.002(x)^2 + 0.005(x) - 0.029, [10 is less then/equal to (x) is less then/equal to 100]. Where x is the speed of the car in miles...

### pre-calculus

It has been found that the supply of lamps varies linearly with its price. When the price per item was $ 94.67 ,64 items are supplied; When the price was $ 134.67 , 124 items are supplied. How many lamps are supplied when the price per item is $ 118.00 ? What is the lowest ...

### Calculus Help

Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ????

### Calculus, bobpursley!

This has to do with my last Calculus problem. I need help on it..The part I replied to after you answered the question.

### Calculus

The area is bounded by y= x^3, x= 2 is rotated around the x-axis. Find the volume using calculus.

### math, calculus 2

Use part 1 of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du

### Pre Calculus 12

Im on the chapter of permutations/combinations/fundamental counting principle need help with 2 questions 1. emma is arranging her books in piles on her desk. she has 5 math books, 3 english books, and 4 science books. how many ways can she arrange them if she wants to keep the...

### Pre-Calculus

The Hotel Ventor has 400 rooms. Currently the hotel is filled. The daily rental is $ 600 per room. For every $6 increase in rent the demand for rooms decreases by 7 rooms. Let x = the number of $ 6 increases that can be made. What should x be so as to maximize the revenue of ...

### Calculus Precalculus

Answer the calculus question about Point P, 45 mph, etc. It is ALREADY posted on here.

### COLLEGE CALCULUS. HELP!

the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+2dt, and find f"(x). my answer was: f'(x)=x^3+x^2+2 f"(x)=x^4/4 + 2x^3/3 + 2x it said its wrong.

### calculus

Find the arc length of the graph of y = x from x = 0 to x = 3 using calculus.

### calculus

I need help with this calculus problem. H(S)=S/(1+S) If F 1/2, -1/2 & (a+1)? I can't figure out what this mean /?

### calculus

Why do we end up with f(x) instead of f(t) on the second fundamental theorem of calculus?

### calculus

Use the Fundamental Theorem of Calculus to find G'(x) if: /x² G(x)= / cos t dt / 1

### Pre-Calculus

Approximate the greatest real zero of the function g(x)= x^3-3x+1 to the nearest tenth. I know that there is a zero between -2 and -1, and another between 0 and 1 but do not know how to find it to the nearest tenth. The only example shown in my book uses a calculator and mine ...

### statistics

In 1980 (before the era of in-vitro fertilization), there were 3,612,258 births in the United States (according to the U.S. Census Bureau), of which 68,339 births were to twins and 1,337 births were to triplets or more. What was the probability of having multiples (twins or ...

### Honors Pre-Calculus

It is known that when a car with wheels of radius 14 in. is driven at 35 mph, the wheels turn at an approximate rate of 420 revoulutions for minute. Show how to obtain this rate of turn. If you ride a bicycle a distance of 5 miles in 15 minutes at a constant speed and if the ...

### Pre-Calculus(Trignometry)

There are 3 airports, A , E and G. G is 200km from A.E is 160 km from A From G the bearing of A is 052 degrees. From A the bearing of E is 216 degrees. What's the distance between A and G? 360- 216 = 144 144-52 = 128 144-128 = 16 a^2 = b^2+c^2-(2*b*c)*cos(A) a^2 = 160^2 + 200^...

### Pre-Calc

This is the last question on my pre-calc homework, I looked through the textbook and have no idea how to do this. 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 ...

### Calculus 1

Use the fundamental theorem of calculus to find the area bounded by f(x)=3 square root of x+2x and the x-axis between x-=0 and x=1

### Calculus AP need help!

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. If f(x)= ∫(4,x^3)√(t^2+10) dt then f '(x).

### Pre-calculus

The sum of the first two terms of an arithmetic series is 13 and the sum of the four terms is 46. Determine the first six terms of the series and the sum of the first six terms.

### Pre Calculus

A bank teller is counting the total amount of money in a cash register at the end of the day. There is a total of $2600 in denominations of $1, $5, $10 and $20 dollar bills. The total number of paper bills is $235. The number of twenty dollar bills is twice the number of $1 ...

### pre-calculus

List the possible rational roots of each equation. Then determine the rational roots. 6x^4+35x^3-x^2-7x-1 The answer in the back of the book is: -1/3 and 1/2 I know that I'm supposed to use Descartes rule of signs. I found that there was 1 positive zero and 3 or 1 negative ...

### consumer math

The Mannings file a tax return showing $125000 in earned income, $3288 from interest income, and they have a tax credit of 1% of their earned income. They claim 5 exemptions of $2500 each, one head of household exemption of $10500, pre-tax medical deductions of $125 weekly, ...

### Pre-Calculus

Two cards are drawn from a standard deck of 52 cards. What is the probability of drawing 2 queens or 2 red cards? (4/52)(3/51)=1/221 ---drawing a queen (26/52)(25/51)=25/102--drawing a red card (1/221)(25/102)= 25/22542 drawing a queen or red card Is this correct?? Thanks for ...

### Calculus

I need to take a college calculus class. Can someone direct me to a site which might help me get a good start? Thanks in advance.

### calculus

Use the fundamental theorem of calculus to evaluate the following integral ∫^π/2 **the bottom is zeroe. |cosx| dx

### Calculus

Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of inflection for y = -x^4 + 2x^3 - x + 2

### Calculus

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?

### Pre Calculus 30

1.How many positive three-digit integers can be made from the digits {3,4,5,6,7} if digits may be repeated? 5x4x3=60 2.In how many ways can all of the letters of the word HEXAGON be arranged if the arrangement must start with a consonant and end in a vowel? 4x3x1x2x3x4x5=1440 ...

### Calculus

Integrate e^(-x^2/2) dx What branch of calculus is this? Is this differential equations?

### calculus

Find the limit of this calculus problem.? (5x-3)/(ln(5+4e^(x)) x=inf

### calculus

How can we verify area of square and rectangle by calculus ?

### Calculus

How can I efficiently study for a Calculus test with 8 sections?

### calculus

Can I have a website of Beginner calculus books?