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Recent problems solved by 'scott8148'

scott8148 answered: 6619 problems
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Trigonometry-basics/583598: how do you fins all solutions between (0,2pi) for tan^2x= secx 1 solutions Answer 372523 by scott8148(6628)   on 2012-03-07 10:27:08 (Show Source): You can put this solution on YOUR website! = sin^2(x) = cos(x) 1 - cos^2(x) = cos(x) 0 = cos^2(x) + cos(x) - 1 use quadratic formula to find the cos values for solution(s)

Graphs/583369: Write an equation for the horizontal line that pass through (15,14). Give an answer in slope-intercept form (if possible). 1 solutions Answer 372425 by scott8148(6628)   on 2012-03-06 20:39:34 (Show Source): You can put this solution on YOUR website! "trick" question horizontal line has zero slope y = 14

Quadratic-relations-and-conic-sections/583308: We are finding the vertex, focus or directive. Then finding an equation and graphing. the problem I am having trouble with is vertex= 0,0 Focus =3,0 so y=-3 here is the formula I get (y+3)^2=(x-3)^2+(y-0)^2 y^2+6y+9=(x-3)^2+y^2 ans I get is: y+3/2=1/6(x-3)^2 But the teacher gives us the answers and it is x=1/12y^2 Can someone explain how she got this answer? Thank you! 1 solutions Answer 372423 by scott8148(6628)   on 2012-03-06 20:33:59 (Show Source): You can put this solution on YOUR website! the vertex and the focus lie on the axis of symmetry, which is ___ y = 0 ___ this is a side-to-side parabola, not up-and-down the directrix is ___ x = -3

Rectangles/583339: Find x then find the perimeter of the rectangle. Base = 3x Height = x-1 Diagonal = 3x+1 What I've already tried: 1 solutions Answer 372414 by scott8148(6628)   on 2012-03-06 20:26:27 (Show Source): You can put this solution on YOUR website! (3x)^2 = 3 * x * 3 * x = 9x^2 x^2 - 2x + 1 = 6x + 1 x^2 - 8x = 0 ___ x (x - 8) = 0

Polynomials-and-rational-expressions/583198: Question: 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. I know the possible factors of the constant are 1, 2, 4, 8, -1, -2, -4, -8. But using the remainder theorem, none of them are actually possible factors (none of those factors have a remainder of 0). But when I graph it on a graphing calculator, there are zeros (x-intercepts). So I'm a little confused here. Thank you. 1 solutions Answer 372380 by scott8148(6628)   on 2012-03-06 18:00:30 (Show Source): You can put this solution on YOUR website! -2 works , so you need to check your calculations to find others

Polynomials-and-rational-expressions/582661: Sorry, but I have to repeat the other question I have put because I need the equation to only use ONE variable, to be able to be solved by hand: There are three types of bikes. A bicycle, tricycle, and tandem bikes. A bicycle as 2 wheels, 2 pedals, and 1 seat. A tricycle has 3 wheels, 2 pedals, and 1 seat. A tandem bike has 2 wheels, 4 pedals, and 2 seats. How many of each are there if there are 144 front steering handlebars, 378 pedals, and 320 wheels? How many bicycles, tricycles, and tandem bikes? Can you tell me the equation to find it? It's been bugging me for a while. Ex: 2x + 2(320 - x) + ? = # of bikes or something. 1 solutions Answer 372158 by scott8148(6628)   on 2012-03-05 19:10:01 (Show Source): You can put this solution on YOUR website! let x=bikes, y=trikes, and z=tandems "there are 144 front steering handlebars" ___ x + y + z = 144 (A) "378 pedals" ___ 2x + 2y + 4z = 378 (B) "320 wheels" ___ 2x + 3y + 2z = 320 (C) subtracting 2(A) from (B) ___ 2z = 90 ___ z = 45 subtracting 2(A) from (C) ___ y = 32 subtracting y and z from (A) ___ x = 67

Circles/582659: I am getting 30 baby chickens. I am going to keep them in a brooder that consist of a cardboard roll that has been rolled out into a circle. The only thing is I'm not sure how big to make the circle. I read that there should be 1/2 a square foot per chick. What would the area and diameter be of this circle? 1 solutions Answer 372153 by scott8148(6628)   on 2012-03-05 19:02:21 (Show Source): You can put this solution on YOUR website! 30 chicks at 1/2 ft^2 each is 15 ft^2 pi * d^2 / 4 = 15 d^2 = 60 / pi ___ d = sqrt(60 / pi)

Travel_Word_Problems/582597: On a straight inclined track, a ball rolling uphill takes 1.3 seconds to slow down from a velocity of 135 cm/s to a velocity of 65 cm/s. On the same track, how much time would it take a rolling ball with velocity 85 cm/s to reach a velocity of 0? Explain your reasoning. Do not use algebra. I know that it took 1.3 sec to decrease it's velocity from 135 cm/s to 65 cm/s by 70 cm/s. If it took 1.3 sec for that, would the velocity decrease from 85 cm/s to 0 cm/s at about 2.5 sec, which I believe I'm incorrect on. 1 solutions Answer 372149 by scott8148(6628)   on 2012-03-05 18:56:25 (Show Source): You can put this solution on YOUR website! the time is proportional to the change in velocity (constant acceleration) 1.3 sec for 70 cm/s means (85 * 1.3 sec / 70) for 85 cm/s

Proportions/582573: There are 4 girls for every 3 boys on band. If there are 120 girls in band, how many total boys are there ? I have the anwser just need help 1 solutions Answer 372143 by scott8148(6628)   on 2012-03-05 18:46:34 (Show Source): You can put this solution on YOUR website! = = "cross" multiplying ___ 4x = 360

Polynomials-and-rational-expressions/582626: There are three types of bikes. A bicycle, tricycle, and tandem bikes. A bicycle as 2 wheels, 2 pedals, and 1 seat. A tricycle has 3 wheels, 2 pedals, and 1 seat. A tandem bike has 2 wheels, 4 pedals, and 2 seats. How many of each are there if there are 144 front steering handlebars, 378 pedals, and 320 wheels? How many bicycles, tricycles, and tandem bikes? Can you tell me the equation to find it? It's been bugging me for a while. 1 solutions Answer 372140 by scott8148(6628)   on 2012-03-05 18:40:29 (Show Source): You can put this solution on YOUR website! let x=bikes, y=trikes, and z=tandems "there are 144 front steering handlebars" ___ x + y + z = 144 "378 pedals" ___ 2x + 2y + 4z = 378 "320 wheels" ___ 2x + 3y + 2z = 320

Radicals/582631: sqrt(9x+40)-6=2x-1 I have no idea what to do. I have tried multiple things and nothing gives me 1 which is the answer my professor said is the correct one.Help.Thank You 1 solutions Answer 372131 by scott8148(6628)   on 2012-03-05 18:32:37 (Show Source): You can put this solution on YOUR website! adding 6 ___ sqrt(9x+40) =2x + 5 squaring ___ 9x + 40 = 4x^2 + 20x + 25 subtracting (9x + 40) ___ 0 = 4x^2 + 11x - 15 factoring ___ 0 = (4x + 15)(x - 1) 4x + 15 = 0 ___ x = -15/4 x - 1 = 0 ___ x = 1

logarithm/582329: How do you condense log base 4 of 3+ 3 log base 4 of 2 1 solutions Answer 372035 by scott8148(6628)   on 2012-03-05 08:37:37 (Show Source): You can put this solution on YOUR website! log4(3 * 2^3)

Circles/582295: What is the standard equation of a circle that has a center of (4,-3) and passes through (9,-10) 1 solutions Answer 372034 by scott8148(6628)   on 2012-03-05 08:35:28 (Show Source): You can put this solution on YOUR website! (x - 4)^2 + (y + 3)^2 = 5^2 + 13^2

Geometry_Word_Problems/581807: please show me how to solve this problem: the perimeter of a rectangle is 50m. if the width were doubled and the length were increased by 25m, the perimeter would be 112m. what are the length and width of the rectangle? 1 solutions Answer 371873 by scott8148(6628)   on 2012-03-04 14:54:42 (Show Source): You can put this solution on YOUR website! "the perimeter of a rectangle is 50m" ___ 2L + 2W = 50 (A) "if the width were doubled and the length were increased by 25m, the perimeter would be 112m" ___ 2(L + 25) + 2(2W) = 112 ___ 2L + 50 + 4W = 112 (B) subtracting equation A from equation B will eliminate L find W, and then substitute back to find L

Triangles/581787: The perimeter of a triangle is 50 centimeters. The longest side is 2 centimeters longer than twice the shortest side. The other side is 3 centimeters shorter than the longest side. Find the length of longest side. I don't understand how to set this problem up??? 1 solutions Answer 371870 by scott8148(6628)   on 2012-03-04 14:41:30 (Show Source): You can put this solution on YOUR website! let x=longest; y=shortest; z=other "The perimeter of a triangle is 50 centimeters" ___ x + y + z = 50 "The longest side is 2 centimeters longer than twice the shortest side" ___ x = 2y + 2 "The other side is 3 centimeters shorter than the longest side" ___ z = x - 3

Travel_Word_Problems/581710: The Smiths are moving across the state. Mr. Smith leaves 3.5 hours before Mrs. Smith. If he averages 40 mph and she averages 60 mph, how long will Mrs. Smith have to drive before she overtakes Mr. Smith? I need a Let statement, an equation and a conclusion and I have to show all my work. 1 solutions Answer 371861 by scott8148(6628)   on 2012-03-04 14:26:00 (Show Source): You can put this solution on YOUR website! Mr. Smith has a 140 mi head start (3.5 * 40) Mrs. Smith catches up at the rate of 20 mph (60 - 40) it will take her 7 hr to catch up (140 / 20)

Travel_Word_Problems/581695: I'm having trouble understanding the question the book is asking. Please read the following passage and questions. The professor does not lecture and the text isn't helping - Thank you A car and a truck are at a gas station. At 2:00 the truck starts traveling along the highway at a constant speed of 54mph. A quarter of an hour later, at 2:15, the car starts traveling along the same highway with a constant speed of 60mph. At what time will the car catch up with the truck? Solve this problem algebraically using the following steps. A) Let Δt be the number of hours the car travels between leaving the gas station and catching up with the truck. Is Δt the answer? If not, how can you get the answer once you found Δt? I think Δt would be the answer as Δt equals the time between the car and truck...correct? B) Write an expression for the car's distance from the gas station Δt hours after the car starts. Explain your reasoning. C) Write an expression for the truck's distance from the gas station Δt hours after the car starts. Explain your reasoning. D) Write your equation and tell why you set the two sides equal. 1 solutions Answer 371859 by scott8148(6628)   on 2012-03-04 14:17:56 (Show Source): You can put this solution on YOUR website! the question is what time (on the clock) does the car catch up A) Δt is the AMOUNT OF TIME it takes the car to catch the truck ___ it is not the answer ___ answer is 2:15 plus Δt B) d = 60 * Δt ___ d = r * t C) d = 54 * (Δt + .25) ___ d = r * t and the truck had a quarter hour head start D) 60 * Δt = 54 * (Δt + .25) ___ when the car catches the truck, the vehicles had traveled EQUAL distances

Geometry_Word_Problems/581603: A triangular prism has a volume of 5 m3. If each dimension of the prism is tripled, what is the new volume of the prism? 1 solutions Answer 371846 by scott8148(6628)   on 2012-03-04 13:55:22 (Show Source): You can put this solution on YOUR website! 5 * 3 * 3 * 3

Unit_Conversion_Word_Problems/581617: What is the significance of 3 days 3 hours and 24 minutes? 1 solutions Answer 371845 by scott8148(6628)   on 2012-03-04 13:53:41 (Show Source): You can put this solution on YOUR website! this is the value of pi, in days ___ accurate to 0.0025% (approx) 3 hr 24 min is 204 min 1 day is 1440 min [3 + (204 / 1440)] is approximately the value of pi

Numbers_Word_Problems/581803: There are 3 brothers who have consecutive even integers of age. 3 times the youngest brother is 48 more than the older brother. How old is the youngest brother? I'm not sure what to do for this problem, I get the Let statements are: Let x = 1st consecutive even integer x+2 = 2nd consecutive even integer x+3 = 3rd consecutive even integer But for the equation I'm not sure how to set it up my ideas were 3x-48=x+3 But that doesn't work out I'm clueless on this problem the whole "3 times more than 48" throws me off. 1 solutions Answer 371836 by scott8148(6628)   on 2012-03-04 13:11:43 (Show Source): You can put this solution on YOUR website! "x+3 = 3rd consecutive even integer" ___ x + 2 + 2 = x + 4 should work okay now

test/581505: The radiator contains 12 gal of h2o.we draw off 3 gal and replace it w/ alcohol,then draw off 3 gal of mixture and replace w/ alcohol.etc, until 8 drawings and replacement made. How much alcohol is the final mixture? 1 solutions Answer 371693 by scott8148(6628)   on 2012-03-03 12:25:57 (Show Source): You can put this solution on YOUR website! each successive mixture has 3/4 (9/12) the amount of water (H2O) as the previous mixture the H2O in the final mixture is ___ 12 * (3/4)^8 the amount of alcohol is 12 gal MINUS the amount of H2O

Surface-area/581512: what is the volume of a cone with a radius of 7 and a height of 9? can u please show how the answer was determined? 1 solutions Answer 371688 by scott8148(6628)   on 2012-03-03 12:14:34 (Show Source): You can put this solution on YOUR website! the volume of a pointed object (cone or pyramid) is ___ 1/3 * (area of base) * height the area of a circular base (for a cone) is ___ pi * (radius)^2 so for this cone ___ v = (1/3) * pi * 7^2 * 9

Linear_Equations_And_Systems_Word_Problems/581519: what goes into 63 and and gives you a -16? 1 solutions Answer 371687 by scott8148(6628)   on 2012-03-03 12:03:54 (Show Source): You can put this solution on YOUR website! -9 and -7

Travel_Word_Problems/581210: A boat leaves a dock and travels at a rate of 36 kilometers per hour. Twenty minutes later a second boat leaves the same dock and travels the same route at 50 kilometers per hour. How long will it take the second boat to be five kilometers behind the first boat? 1 solutions Answer 371533 by scott8148(6628)   on 2012-03-02 11:02:02 (Show Source): You can put this solution on YOUR website! in the 1/3 hr between departures, the 1st boat gets a 12 km head start ___ 1/3 * 36 = 12 the 2nd boat catches up at a rate of 14 km/hr ___ 50 - 36 = 14 the 2nd boat needs to catch up by 7 km to be 5 km behind ___ 12 - 5 = 7 at a closing rate of 14 km/hr, it takes the 2nd boat a half hr to close to 5 km ___ 7 / 14 = 1/2

Matrices-and-determiminant/580941: I am trying to help my niece with her Algebra and both of us our totally stumped. Here is the example of the problems we are working. Can you please review and tell me how you got the answer? 2z squared + 3Z =135 Thank you for your assistance. I do appreciate it! Jamie Harrelson 1 solutions Answer 371400 by scott8148(6628)   on 2012-03-01 18:48:11 (Show Source): You can put this solution on YOUR website! subtracting 135 ___ 2z^2 + 3z - 135 = 0 the object is to factor the quadratic into two binomials and then apply the zero product rule finding two factors of -135, that can generate a sum of 3, when one of them is multiplied by 2 -15 and 9 are factors, 9 multiplied by 2 and added to -15 gives us 3 (2z - 15)(z + 9) = 0 ___ zero product states that if the product is zero, any or all of the factors are zero 2z - 15 = 0 ___ 2z = 15 ___ z = 15/2 z + 9 = 0 ___ z = -9

Permutations/580752: Where and how do I locate the "!" on my TI-83 calculator? 1 solutions Answer 371360 by scott8148(6628)   on 2012-03-01 15:04:48 (Show Source): You can put this solution on YOUR website! MATH key PRB (probability) ! is the 4th choice

Probability-and-statistics/580691: A multiple-choice test has four choices for each answer. Suppose you make a random guess on three of the ten questions. What is the probability that you will answer all three correctly? the back of the book says it's 1/64 but I cannot seem to get that. I tried 3/10 x 12/40, 1/4 x 12/40, and many others. Please help! 1 solutions Answer 371349 by scott8148(6628)   on 2012-03-01 13:38:13 (Show Source): You can put this solution on YOUR website! 3 questions, each with a 1/4 chance of being correct (1/4) * (1/4) * (1/4) = 1/64

Permutations/580715: A restaurant offers 6 salads, 3 soups, 5 entrees, 4 desserts, and 6 beverages. if you choose one from each category, how many different meals can you order? I'm not sure how you would do this,would you take 6x3x5x4x6 and just multiply them? 1 solutions Answer 371345 by scott8148(6628)   on 2012-03-01 13:27:38 (Show Source): You can put this solution on YOUR website! yes

Numbers_Word_Problems/580735: Four families each brought the same number of chairs to a block party. Three more chairs are needed to seat all 27 of the participants. How many chairs did each family bring? i need help on trying to solve it i am thinking the answer is nine but i want to compare your work with mine thank you. 1 solutions Answer 371344 by scott8148(6628)   on 2012-03-01 13:25:49 (Show Source): You can put this solution on YOUR website! 4x + 3 = 27

Geometry_Word_Problems/580636: If a force of 100N on an object causes an acceleration of 10m/s2 what is the objects mass? 1 solutions Answer 371334 by scott8148(6628)   on 2012-03-01 11:01:23 (Show Source): You can put this solution on YOUR website! f = m * a ___ 100 = m * 10 the mass is in kilograms (kg)

Geometry_Word_Problems/580621: A penny is dropped from the top of a 900 m tower how long does it take to hit the ground 1 solutions Answer 371333 by scott8148(6628)   on 2012-03-01 10:58:44 (Show Source): You can put this solution on YOUR website! starting from rest, with a uniform acceleration (gravity) ___ 900 = (1/2) * g * t^2 the gravitational acceleration (g) is 9.8 m/s^2 ___ t is in seconds 900 / 4.9 = t^2 use a calculator to find t