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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Polynomials-and-rational-expressions/735307: What does 10x^3 + 4x - 25x^2 - 10 factor out too? 1 solutions Answer 449381 by Alan3354(30993)   on 2013-04-08 18:18:06 (Show Source): You can put this solution on YOUR website! What does 10x^3 + 4x - 25x^2 - 10 factor out too? --------- Hint: 10, 4 and 25, 10 are multiples of 5 and 2

Trigonometry-basics/735276: Determine of sin θ=3 is possible. 1 solutions Answer 449379 by Alan3354(30993)   on 2013-04-08 18:16:42 (Show Source): You can put this solution on YOUR website! Determine of sin θ=3 is possible. --------- That's possible, but it's a complex number. I doubt you're interested in that.

Polygons/735286: What is the length of one side of a regular pentagon if its perimeter is 20 cm? 1 solutions Answer 449375 by Alan3354(30993)   on 2013-04-08 18:13:19 (Show Source): You can put this solution on YOUR website! What is the length of one side of a regular pentagon if its perimeter is 20 cm? ----------- Hint: a pentagon has 5 sides. Hint #2: perimeter = the sum of the lengths of the sides Hint #3: regular means they're the same length

Radicals/735306: what is 5the square root of 81q tho the fifth power? 1 solutions Answer 449374 by Alan3354(30993)   on 2013-04-08 18:10:31 (Show Source): You can put this solution on YOUR website! what is 5the square root of 81q tho the fifth power? ------------ It's not clear what you're asking. Try again.

Trigonometry-basics/735270: sqrt6 sin2t- sqrt3 tan2t=0 I know I can make tan 2t into sin2t/cos2t so I am using like-terms but I am not sure what to do with the square roots or how to even begin to solve this. 1 solutions Answer 449354 by Alan3354(30993)   on 2013-04-08 16:47:24 (Show Source): You can put this solution on YOUR website! sqrt6 sin2t- sqrt3 tan2t=0 sqrt6 sin2t- sqrt3 sin2t/cos2t=0 sin2t*(sqrt(6) - sqrt(3)/cos2t) = 0 sin2t = 0 t = 0 -------------- (sqrt(6) - sqrt(3)/cos2t) = 0 sqrt(6) - sqrt(3) = 0 Inconsistent, no solution.

Trigonometry-basics/734985: whats the period of y=2sin(2x)+cos3(x) 1 solutions Answer 449221 by Alan3354(30993)   on 2013-04-07 21:19:53 (Show Source): You can put this solution on YOUR website! whats the period of y=2sin(2x)+cos3(x) ------------ Is it cos^3 ? Or cos(3x) ? Period = 2pi either way

Travel_Word_Problems/734963: A plane is approaching an airport from the northwest, while a helicopter is moving directly east away from the airport. At the moment the plane is 15 mi northwest of the airport and the helicopter is 20 mi to the east. the plane is moving 600 mph and yhe helicopter is traveling at 100 mph. what is the rate of change of the distance between the two aircraft. round your answer to the nearest tenth. 1 solutions Answer 449217 by Alan3354(30993)   on 2013-04-07 21:10:26 (Show Source): You can put this solution on YOUR website! A plane is approaching an airport from the northwest, while a helicopter is moving directly east away from the airport. At the moment the plane is 15 mi northwest of the airport and the helicopter is 20 mi to the east. the plane is moving 600 mph and yhe helicopter is traveling at 100 mph. what is the rate of change of the distance between the two aircraft. round your answer to the nearest tenth. ------------------- It's an obtuse triangle with sides of 600 and 100, and the included angle = 135 degs. The relative speed of the 2 aircraft is the 3rd side. -------------- =~ 674.4 mi/hr

test/734874: Find the equation of the line that bisects the acute angle formed by the lines: x+2y=-2 and y=5x-6 1 solutions Answer 449214 by Alan3354(30993)   on 2013-04-07 21:05:46 (Show Source): You can put this solution on YOUR website! Find the equation of the line that bisects the acute angle formed by the lines: x+2y=-2 and y=5x-6 -------------- Find the intersection of the 2 lines, label it point A x + 10x-12 = -2 11x = 10 x = 10/11 y = -16/11 --> (10/11,-16/11) --------------------- The slope of x+2y = -2 is -1/2 The slope of y = 5x+6 is 5 ---------- The slope of the bisector = tan(atan(5) + atan(-1/2))/2 =~ -2.04464 ---------------- Use the slope and the point to find b, the intercept. Then y = mx + b

Rectangles/734953: using the formula A=lw, find the area of the rectangle. width = 4x^2 length= 9x^2 1 solutions Answer 449209 by Alan3354(30993)   on 2013-04-07 20:23:43 (Show Source): You can put this solution on YOUR website! using the formula A=lw, find the area of the rectangle. width = 4x^2 length= 9x^2 ---------------- A = l*w Multiply the 2 terms.

Inverses/734940: how do i find the inverse equation to 1/3x?2 1 solutions Answer 449195 by Alan3354(30993)   on 2013-04-07 19:57:32 (Show Source): You can put this solution on YOUR website! how do i find the inverse equation to 1/3x?2 ------------------- That's not an equation

Linear-systems/734890: I can't get the answer to the following problem ; y-5x=-2 3x-7y=22 The instructions say to use the substitution method. 1 solutions Answer 449173 by Alan3354(30993)   on 2013-04-07 18:11:43 (Show Source): You can put this solution on YOUR website! y-5x=-2 --> y = 5x - 2 3x-7y=22 ---------- Sub for y in the 2nd equation.

logarithm/734893: log ^4 8 -log^4 2 1 solutions Answer 449170 by Alan3354(30993)   on 2013-04-07 17:58:42 (Show Source): You can put this solution on YOUR website! log ^4 8 -log^4 2 ------------- I don't know what that means. Making up your own notation might be fun, but it makes it a puzzle to the rest of us.

Polynomials-and-rational-expressions/734898: How do I completely factor the polynomial: 8x^3+64x^2+8x+64 1 solutions Answer 449167 by Alan3354(30993)   on 2013-04-07 17:56:37 (Show Source): You can put this solution on YOUR website! How do I completely factor the polynomial: 8x^3+64x^2+8x+64 ------------ Hint: The coefficients are 8, 64, 8, 64

Trigonometry-basics/734806: if csc(theta)= -4 and theta is in Quad. IV, find the exact value for cos(theta) 1 solutions Answer 449151 by Alan3354(30993)   on 2013-04-07 16:19:56 (Show Source): You can put this solution on YOUR website! if csc(theta)= -4 and theta is in Quad. IV, find the exact value for cos(theta) ----------- sin = 1/csc = -1/4 positive in Q4

Surface-area/734848: If the surface area of the box in the diagram is 204.25 square feet, what is the value of x? 1 solutions Answer 449150 by Alan3354(30993)   on 2013-04-07 16:12:10 (Show Source): You can put this solution on YOUR website! If the surface area of the box in the diagram is 204.25 square feet, what is the value of x? --------------- No diagram is shown.

Bodies-in-space/734820: suppose you double the radius of a right cylinder a how does that affect the lateral area? b how does that affect the surface area? 1 solutions Answer 449139 by Alan3354(30993)   on 2013-04-07 15:16:16 (Show Source): You can put this solution on YOUR website! suppose you double the radius of a right cylinder a how does that affect the lateral area? r^1 --> 2x the Lateral Area -------- b how does that affect the surface area? Area of ends = pi*r^2 r^2 --> 4x the area of the ends The total surface area is the sum of the LA and the 2 ends -----------------

Equations/734823: x+y=8 x-y=4 1 solutions Answer 449138 by Alan3354(30993)   on 2013-04-07 15:13:33 (Show Source): You can put this solution on YOUR website! x+y=8 x-y=4 ------------- Add

Equations/734824: x+2y=5 x-y=3 1 solutions Answer 449137 by Alan3354(30993)   on 2013-04-07 15:13:05 (Show Source): You can put this solution on YOUR website! x+2y=5 x-y=3 --------- Subtract

t e s t/734760: (X)(.40)/(.50) X times .40 divided by .50 solve for x please? 1 solutions Answer 449129 by Alan3354(30993)   on 2013-04-07 13:24:26 (Show Source): You can put this solution on YOUR website! (X)(.40)/(.50) X times .40 divided by .50 ------------- It's not an equation, nothing to solve.

logarithm/734768: How do i solve this? log3 4x 1 2 log3 5y 1 solutions Answer 449128 by Alan3354(30993)   on 2013-04-07 13:23:26 (Show Source): You can put this solution on YOUR website! How do i solve this? log3 4x 1 2 log3 5y --------------- It's not an equation, so you don't solve it. Add parentheses so it makes sense, and say what you want to do.

test/734774: How do you find the slope of the line passing through these given points? (2,5) and (3,6). (6,1) and (-6,1). (4,6) and (4,8) 1 solutions Answer 449126 by Alan3354(30993)   on 2013-04-07 13:22:16 (Show Source): You can put this solution on YOUR website! How do you find the slope of the line passing through these given points? (2,5) and (3,6). Slope m = diffy/diffx m = (6-5)/(3-2) m = 1 ---------- (6,1) and (-6,1) Same as #1 ----------- (4,6) and (4,8) diffx = 0 --> slope is undefined

test/734776: How do you write the equation for the line that passes through these given points. (1,9):m=2, (4,2): m=-2, and (5,6), (8,6) 1 solutions Answer 449124 by Alan3354(30993)   on 2013-04-07 13:16:35 (Show Source): You can put this solution on YOUR website! How do you write the equation for the line that passes through these given points. (1,9):m=2 Use y = mx + b and the point to find b, the y-intercept 9 = 2*1 + b b = 7 --> y = 2x + 7 is AN equation of the line. ---------------------- (4,2): m=-2 Same as the 1st one. ------------ and (5,6), (8,6) Find the slope. m = diffy/diffx = 0/3 m = 0 --> y = 6

Miscellaneous_Word_Problems/734733: In 6 months, Rent-a-Car will increase their daily rate for an economy car 5%. The manager calculated that the new daily rate will be $27.00. What error did he make in his calculation? 1 solutions Answer 449112 by Alan3354(30993)   on 2013-04-07 12:33:09 (Show Source): You can put this solution on YOUR website! In 6 months, Rent-a-Car will increase their daily rate for an economy car 5%. The manager calculated that the new daily rate will be $27.00. What error did he make in his calculation? -------------- There's no indication he made a mistake.

Money_Word_Problems/734709: How can two people make financially informed choices and arrive at different conclusions? 1 solutions Answer 449100 by Alan3354(30993)   on 2013-04-07 10:24:08 (Show Source): You can put this solution on YOUR website! How can two people make financially informed choices and arrive at different conclusions? ------------ Easily.

Numeric_Fractions/734694: how much granola do I need to 7/2 of recipe 1 solutions Answer 449099 by Alan3354(30993)   on 2013-04-07 10:23:14 (Show Source): You can put this solution on YOUR website! how much granola do I need to 7/2 of recipe ------------ 7/2 of the amount for 1

Circles/734695: find equation of the circle with center at (0 0) that passes through each point (0 7) 1 solutions Answer 449091 by Alan3354(30993)   on 2013-04-07 09:34:41 (Show Source): You can put this solution on YOUR website! find equation of the circle with center at (0 0) that passes through each point (0 7) ---------- Use commas. (0,0) and (0,7) --> r = 7 -----

test/734692: The bottom of the ladder must be placed 3 feet from wall the ladder is 12 ft long How far above the ground does the ladder touch the wall 1 solutions Answer 449090 by Alan3354(30993)   on 2013-04-07 09:28:07 (Show Source): You can put this solution on YOUR website! The bottom of the ladder must be placed 3 feet from wall the ladder is 12 ft long How far above the ground does the ladder touch the wall ----------- It's a right triangle. The hypotenuse = 12

Volume/734690: A submarine has a radius of 920 meters and a height of 85 meters. What is the volume of the submarine? 1 solutions Answer 449089 by Alan3354(30993)   on 2013-04-07 09:27:20 (Show Source): You can put this solution on YOUR website! A submarine has a radius of 920 meters and a height of 85 meters. What is the volume of the submarine? ----------- Odd dimensions, but for a cylinder

Volume/734689: A 9 cm wide cross section pipe has a height of 13 cm. What is the volume of the pipe? 1 solutions Answer 449088 by Alan3354(30993)   on 2013-04-07 09:24:53 (Show Source): You can put this solution on YOUR website! A 9 cm wide cross section pipe has a height of 13 cm. What is the volume of the pipe? ---------- It's a cylinder. If 9 cm is the ID, the radius = 4.5 cm

Age_Word_Problems/734682: I am 48 and my wife is 39. How old was I when I was twice her age? 1 solutions Answer 449086 by Alan3354(30993)   on 2013-04-07 08:37:13 (Show Source): You can put this solution on YOUR website! I am 48 and my wife is 39. How old was I when I was twice her age? --------- The difference is 9 yrs --> 9 & 18

Quadratic_Equations/734665: Use the discriminate to find the number of real solution to x^2+3x-4=0 1 solutions Answer 449085 by Alan3354(30993)   on 2013-04-07 08:14:54 (Show Source): You can put this solution on YOUR website! Use the discriminate to find the number of real solution to x^2+3x-4=0 -------------- It's discriminant. Discriminate is a verb. disc = b^2 - 4ac = 9 - 4*1*(-4) = 25 disc > 0 --> 2 real solutions