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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Exponential-and-logarithmic-functions/332406: the roses cost $15 per dozen and the carnations cost $8 per dozen. shereda bought a total of 17 dozen flowers and paid a total of $192. how many roses did she buy? 1 solutions Answer 238228 by Alan3354(30993)   on 2010-08-16 21:46:56 (Show Source): You can put this solution on YOUR website! 17 doz * $8 = $136. For each $8 dozen replaced by a $15 dozen, the total price increases $7. 192 - 136 = 56 56/7 = 8 --> 9 of the $8, and 8 of the $15

Quadratic_Equations/332417: Hello, Please help A: solve 3x^2-5x-7=0 B: find the x-intercept of F(X)=3x^2-5x-7 what are the soulutions x= type an exact answers, using radicals as needed. Express complex numbers in terms of i use a comma to separate 1 solutions Answer 238224 by Alan3354(30993)   on 2010-08-16 20:56:17 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=109 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 2.57338441815176, -0.906717751485092. Here's your graph:

Volume/332352: A fish tank is in the shape of a cube, which means each side has the same length. One of the sides is 2 feet. What is the volume of the fish tank? 1 solutions Answer 238223 by Alan3354(30993)   on 2010-08-16 20:54:41 (Show Source): You can put this solution on YOUR website! All of the sides are 2 feet. s = 2 V = s^3 = 8 cubic ft

Numbers_Word_Problems/332419: Using the 5 step process; solve the following problem: The sum of the page numbers on the facing pages of a book is 285. Find the larger page number. 1 solutions Answer 238222 by Alan3354(30993)   on 2010-08-16 20:50:49 (Show Source): You can put this solution on YOUR website! 285/2 = 142+ --> 142 & 143

Quadratic_Equations/332405: Hello If a pro basket ball player has a verticle leap of about 20 inches what is his hang time? Use the hang time function V=48T^2 His hand time is ___seconds simplify asnwer, type an integer,or decimal round to the nearest tenth Thank you 1 solutions Answer 238219 by Alan3354(30993)   on 2010-08-16 20:42:44 (Show Source): You can put this solution on YOUR website! V=48T^2 = 20 48t^2 = 20 t^2 = 20/48 = 5/12 = 0.645 seconds

logarithm/332418: a=b2=c3=d4 then value of log abcd is 1 solutions Answer 238217 by Alan3354(30993)   on 2010-08-16 20:35:50 (Show Source): You can put this solution on YOUR website! Is b2 a variable?

Expressions-with-variables/332346: 7 increased by x 1 solutions Answer 238216 by Alan3354(30993)   on 2010-08-16 20:26:24 (Show Source): You can put this solution on YOUR website! = 7+x or x+7

Points-lines-and-rays/332343: If the perimeter of a square is 272 in., what is the length of each side? 1 solutions Answer 238214 by Alan3354(30993)   on 2010-08-16 20:25:25 (Show Source): You can put this solution on YOUR website! There are 4 sides, and they're of equal length. s = 272/4

Polynomials-and-rational-expressions/332382: Hi, I'm having trouble solving this: Factor the polynomial completely. 54a^3b - 16b^4 Thanks. 1 solutions Answer 238212 by Alan3354(30993)   on 2010-08-16 20:23:57 (Show Source): You can put this solution on YOUR website! 54a^3b - 16b^4 = Can you finish it?

Numbers_Word_Problems/332401: The product of the page numbers on two facing pages of a book is 506. Find the page numbers. 1 solutions Answer 238210 by Alan3354(30993)   on 2010-08-16 20:20:44 (Show Source): You can put this solution on YOUR website! sqrt(506) =~22.5 --> 22 & 23

Equations/332364: Find two geometric means between 4 and 256. 1 solutions Answer 238191 by Alan3354(30993)   on 2010-08-16 18:51:25 (Show Source): You can put this solution on YOUR website! 16, 64

Polynomials-and-rational-expressions/332372: Use laws of exponents to simplify 11 2 _ _ (10^14) 5 1 solutions Answer 238190 by Alan3354(30993)   on 2010-08-16 18:50:44 (Show Source): You can put this solution on YOUR website! It's not clear what you're asking.

Linear-systems/332374: I would appreciate help for this problem! I have tried everything!! To replace a set of brakes, an auto mechanic charges $60 for parts plus $40 per hour for labor. The total cost, y, is given by the equation y = 40x + 60, where x is the number of hours of labor. (a) Identify and (b) interpret the meaning of both the slope and the y-intercept. 1 solutions Answer 238189 by Alan3354(30993)   on 2010-08-16 18:42:23 (Show Source): You can put this solution on YOUR website! The y-axis is the cost, and the x-axis is the # of hours labor. ============================================ The y-intercept is the "base cost" or $60 for parts. The slope is 40, and is the $ per hour for labor.

Quadratic_Equations/332342: Can someone help me solve this please? w^4-18w^2-2=0 What is the solution? 1 solutions Answer 238188 by Alan3354(30993)   on 2010-08-16 18:27:01 (Show Source): You can put this solution on YOUR website! It's a quadratic in w^2 Sub x for w^2 and solve it with the quadratic eqn. Then, each of the 2 solutions = w^2 Take the sq root of each of them. --------------- Solve for x, which is w^2 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=332 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 18.1104335791443, -0.110433579144299. Here's your graph: -------------- w^2 = 9 ± sqrt(83) =~ 18.1104 =~ 0.1104 =~ -18.1104 =~ -0.1104

Finance/332369: How do you do get the full answer on the calculator for Pythagorean Theorem? Do you press SHIFT = answer or do you put SHIFT Square root =? 1 solutions Answer 238187 by Alan3354(30993)   on 2010-08-16 18:22:55 (Show Source): You can put this solution on YOUR website! What is a "full answer?"

Equations/332363: If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third second, and so on. How far will the object fall during the first 6 seconds? 1 solutions Answer 238186 by Alan3354(30993)   on 2010-08-16 18:16:44 (Show Source): You can put this solution on YOUR website! If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third second, and so on. How far will the object fall during the first 6 seconds? ----------------- 16 = a/2 --> a = 32 48 = a*4/2 = 2a --> a = 24 80 = a*9/2 = 4.5a --> a = 32 The acceleration is not constant, so no solution is possible without additional info. ------------- If the 2nd entry is 64 instead of 48, then the acceleration would be 32 ft/sec/sec, which is apx the Earth's gravitational acceleration. Then for 6 seconds s = 16*36/2 = 288 feet.

Equations/332361: Find two arithmetic means between -17 and -71. 1 solutions Answer 238185 by Alan3354(30993)   on 2010-08-16 18:11:49 (Show Source): You can put this solution on YOUR website! = (-17 + (-71))/2 = -88/2 = -44

Quadratic_Equations/332319: y = x^2 - 2x - 3; find y-intercept and any x-intercepts. Do I treat as a parabola where I replace x with 0 and solve for y? I have no idea how to approach - thank you for your help. 1 solutions Answer 238167 by Alan3354(30993)   on 2010-08-16 16:25:52 (Show Source): You can put this solution on YOUR website! Duplicate

Rectangles/332317: The area of a rectangle is 21 square meters. What is the length and width of the rectangle if its length is 4 meters greater than its width? 1 solutions Answer 238166 by Alan3354(30993)   on 2010-08-16 16:25:17 (Show Source): You can put this solution on YOUR website! y = x^2 - 2x - 3; find y-intercept and any x-intercepts. Do I treat as a parabola where I replace x with 0 and solve for y? -------------- It is a parabola, no matter what anyone does. -------------- To find the y-intercept, set x = 0 --> (0,-3) ------------ The x-intercepts are the solutions, the zeroes. (x-3)*(x+1) = 0 x = -1, 3

Points-lines-and-rays/332320: If AB line intersects plane p, how many planes how many planes containing AB line can be drawn parallel to plane p? (A) none (B) 1 (C) 2 (D) 4 (E) an infinite number 1 solutions Answer 238165 by Alan3354(30993)   on 2010-08-16 16:21:13 (Show Source): You can put this solution on YOUR website! none

Points-lines-and-rays/332318: In space, how many lines can be drawn perpendicular to a given line at a given point on the line? (A)none (B) 1 (C) 2 (D) 4 (E) an infinite number 1 solutions Answer 238164 by Alan3354(30993)   on 2010-08-16 16:18:21 (Show Source): You can put this solution on YOUR website! An infinite number. In 3-space, a plane can be "drawn" perpendicular to a line at any point. --------------------------- The line would be normal to the plane, not just perpendicular.

Numbers_Word_Problems/332290: What are the largest possible values for the sum of 3 consecutive even integers less than 200 1 solutions Answer 238140 by Alan3354(30993)   on 2010-08-16 15:07:00 (Show Source): You can put this solution on YOUR website! What are the largest possible values for the sum of 3 consecutive even integers less than 200 ------------- 200/3 =~ 66.66... --> 64, 66 & 68

Linear-systems/332285: I am really having a problem figuring out how I do this system of equations. The whole quesrion is: Solve the system of equatons by graphing. Then classify the system as conistentm inconsistent or independent. What is the solution of the system of equations. (a) apoint (b) no solution (c) infinitly many solutions. 7x - 4y = 8 4y - 7x = -8 1 solutions Answer 238138 by Alan3354(30993)   on 2010-08-16 15:00:04 (Show Source): You can put this solution on YOUR website! The 2nd eqn is -1 times the first. That makes it dependent --> an infinite # of solutions. ------------ If you graph it, you get the same line twice, and every point on the line is a solution.

test/332278: How far away, in km, is an airplane measured by a radar wave that that takes 9.36 x 10^ -4 s to go and return to the radar unit that is measuring the distance? Express your answer to the nearest km. 1 solutions Answer 238133 by Alan3354(30993)   on 2010-08-16 14:42:35 (Show Source): You can put this solution on YOUR website! How far away, in km, is an airplane measured by a radar wave that that takes 9.36 x 10^-4 s to go and return to the radar unit that is measuring the distance? Express your answer to the nearest km. ----------------- You didn't give the speed of the radar beam, so I'll assume 300,000 km/sec ----------- If the roundtrip takes 9.36E-4 seconds, it takes 1/2 that to get to the airplane, = 4.68E-4 seconds ----------- 3E5 km/sec * 4.68E-4 sec = 14.04E1 km =~ 140 km

Matrices-and-determiminant/332230: It says to use the elimination method for this problem but I don't understand what to do because it says the answers has not solution. Can someone please help. I am so confused. 2x+3y=15 8x+12y=40 1 solutions Answer 238102 by Alan3354(30993)   on 2010-08-16 10:59:42 (Show Source): You can put this solution on YOUR website! It says to use the elimination method for this problem but I don't understand what to do because it says the answers has not solution. Can someone please help. I am so confused. 2x+3y=15 8x+12y=40 --> 2x + 3y = 10 --------------- The 1st eqn says 2x+3y = 15, the 2nd says it = 10. It can't be both, so there's no solution, meaning there's no x&y that fit both equations. If you graph these, you get 2 parallel lines. No intersection, no solution. ----------- Using elimination methods: 2x+3y=15 2x+3y=10 --------- Subtract 0 = 5 It's obvious something's not right --> no solution

Linear-systems/332232: Determine whether (-4,-7) is a solution of 2x+4y=16 1 solutions Answer 238099 by Alan3354(30993)   on 2010-08-16 10:37:46 (Show Source): You can put this solution on YOUR website! Sub -4 for x and -7 for y, and see if it = 16. If it does, it's a solution. If it does not, it's not a solution.

Geometric_formulas/332208: find the equation of the bisector of the acute angles and also the equation of the obtuse angles formed by the lines 7x-2y=4 and 3x+5y=15. 1 solutions Answer 238094 by Alan3354(30993)   on 2010-08-16 09:01:57 (Show Source): You can put this solution on YOUR website! find the equation of the bisector of the acute angles and also the equation of the obtuse angles formed by the lines 7x-2y=4 and 3x+5y=15. -------------------- Find the slope of each line: 7x-2y = 4, m = 7/2 3x+5y =15, m = -3/5 -------------------- The slope is the tangent of the angle with the x-axis, so the arctan(m) is the angle. Add the 2 angles, and divide by 2 --> the angle of the bisector. Angle of bisector = (arctan(7/2) + arctan(-3/5))/2 = 21.5454 degs The slope is the tangent, m = 0.3948 -------------------------------------- Find the intersection of the lines 7x-2y=4 and 3x+5y=15. It's (50/41,93/41) or (1.2195,2.2683) ----------------------- Use the point and y = mx+b to find b 2.2683 = 0.3948*1.2195 + b b = 1.7868 Equation of the bisector: y = 0.3948x + 1.7868 ------------------------- I don't what you mean by "the equation of the obtuse angles"

Equations/332121: All variables represent positive numbers. Simplify the sums and differences. Give exact answers. Sq rt 3 – 2 sq rt 3 1 solutions Answer 238032 by Alan3354(30993)   on 2010-08-15 19:54:04 (Show Source): You can put this solution on YOUR website! =

Exponents/332109: Add do I need to combine the like terms and just add them together or do I add the first problem then subtract the second. please help I am really confused 1 solutions Answer 238030 by Alan3354(30993)   on 2010-08-15 19:48:21 (Show Source): You can put this solution on YOUR website! Add --------------------- It says Add in the corner. Add like terms. =

Polynomials-and-rational-expressions/332076: please help me solve the following equation: a^-1-3a^-2/2^-2 1 solutions Answer 238011 by Alan3354(30993)   on 2010-08-15 18:03:49 (Show Source): You can put this solution on YOUR website! It's not an equation, so it can't be solved. Hint: equations have equal signs. equal, equate, equation

Polynomials-and-rational-expressions/332074: how would you solve this equation. 10ab-6b + 35a-21 1 solutions Answer 238008 by Alan3354(30993)   on 2010-08-15 17:59:07 (Show Source): You can put this solution on YOUR website! It's not an equation, so it can't be solved.