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Alan3354 answered: 30973 problems
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test/742354: Solve the equation by completing the square: 4x^2 - 17x + 24 = 0 1 solutions Answer 452462 by Alan3354(30993)   on 2013-04-27 11:29:06 (Show Source): You can put this solution on YOUR website! Solve the equation by completing the square: 4x^2 - 17x + 24 = 0 ---------- 4x^2 - 17x + 24 = 0 4x^2 - 17x = -24 x^2 - (17/4)x = -6 c to added = (b/2a)^2 = (17/8)^2 c = 289/64 ------ x^2 - (17/4)x + 289/64 = -6 + 289/64 = -95/64 (x - 17/8)^2 = -95/64 ======================= -------- 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 : . The discriminant -95 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -95 is + or - . The solution is , or Here's your graph:

Probability-and-statistics/742431: A man and his wife are each the weight of a full cart. They have two children, each weighing half of a cart. They need to cross a river, but the boat can only carry the weight of one cart. Devise a plan to get everyone across the river so that the boat does not sink. There must always be someone rowing the boat. 1 solutions Answer 452461 by Alan3354(30993)   on 2013-04-27 11:22:24 (Show Source): You can put this solution on YOUR website! A man and his wife are each the weight of a full cart. They have two children, each weighing half of a cart. They need to cross a river, but the boat can only carry the weight of one cart. Devise a plan to get everyone across the river so that the boat does not sink. There must always be someone rowing the boat. ---------------- The 2 kids row over, 1 rows back. The man rows over, the kid rows back. The 2 kids row over again, 1 rows back. The woman rows over, the kid rows back. The 2 kids row over.

Travel_Word_Problems/742210: how long would it take for me to get to....Sandy Glade Holiday Park Coast Road Berrow Burnham-on-Sea Somerset TA8 2QX from wv14 8hn 1 solutions Answer 452327 by Alan3354(30993)   on 2013-04-26 13:49:36 (Show Source): You can put this solution on YOUR website! how long would it take for me to get to....Sandy Glade Holiday Park Coast Road Berrow Burnham-on-Sea Somerset TA8 2QX from wv14 8hn ============= d = distance r = rate or speed --- d = r*t t = d/r

Volume/742203: If the smaller cone has a volume of 343 cubic feet, what is the volume of the larger cone? 1 solutions Answer 452325 by Alan3354(30993)   on 2013-04-26 13:48:06 (Show Source): You can put this solution on YOUR website! If the smaller cone has a volume of 343 cubic feet, what is the volume of the larger cone? -------------- More than 343 cu ft

logarithm/742182: Solve a) 3^x =2 b) 4^x-5 c) 7^(-x)=3 d) 3^(1-x) = 5 e) (1/8)^x = 25 f) 5^(3x) =41 Can you please help me out? thanks so much in advance:) Can you show the work too because I will understand better thankyou:) 1 solutions Answer 452306 by Alan3354(30993)   on 2013-04-26 11:43:18 (Show Source): You can put this solution on YOUR website! Solve a) 3^x =2 b) 4^x-5 c) 7^(-x)=3 d) 3^(1-x) = 5 e) (1/8)^x = 25 f) 5^(3x) =41 ------ These are all similar. I'll do the "hardest" ones. Solve a) 3^x =2 b) 4^x-5 No equal sign c) 7^(-x)=3 d) 3^(1-x) = 5 (1-x)*log(3) = log(5) 1-x = log(5)/log(3) ----------------- e) (1/8)^x = 25 x*log(1/8) = log(25) x = log(25)/log(1/8) x =~ -1.54795 ----------------- f) 5^(3x) =41

Radicals/742194: 512m to the third power 1 solutions Answer 452305 by Alan3354(30993)   on 2013-04-26 11:38:27 (Show Source): You can put this solution on YOUR website! 512m to the third power ----------- What about it?

Volume/742192: what is p 8p − 12 = 4(2p − 12) 1 solutions Answer 452304 by Alan3354(30993)   on 2013-04-26 11:37:49 (Show Source): You can put this solution on YOUR website! 8p - 12 = 4(2p - 12) 8p - 12 = 8p - 48 -12 = -48 ---------- No solution.

logarithm/742181: Solve to the nearest thousand a) 2^x=11 b) 3^x=11 c) 5^(x-1)=9 d) 5^(1+x) = 2^(1-x) Can you please help me out? thanks so much in advance:) 1 solutions Answer 452303 by Alan3354(30993)   on 2013-04-26 11:32:14 (Show Source): You can put this solution on YOUR website! Solve to the nearest thousand a) 2^x=~ 11 ------------------- x*log(2) = log(11) x = log(11)/log(2) x =~ 3.45943 To the nearest 1000, x = 0 ------------ b) 3^x=11 Do it like the 1st one. --------------------- c) 5^(x-1)=9 (x-1)*log(5) = log(9) ------------------ d) 5^(1+x) = 2^(1-x) Same as above.

Rational-functions/742105: The speed of a boat in still water is 8 km/h. It travels 60 km upstream and 60 km downstream in a total time of 16 hours. What is the speed of the stream? 1 solutions Answer 452297 by Alan3354(30993)   on 2013-04-26 10:46:06 (Show Source): You can put this solution on YOUR website! The speed of a boat in still water is 8 km/h. It travels 60 km upstream and 60 km downstream in a total time of 16 hours. What is the speed of the stream? ------------- Avg speed of a round trip = 2*r1*r2/(r1+r2) = 120/16 = 7.5 2*(8-c)*(8+c)/16 = 7.5 c = 2 km/hr

test/742152: 6-9i ------- 3i 1 solutions Answer 452295 by Alan3354(30993)   on 2013-04-26 10:35:32 (Show Source): You can put this solution on YOUR website! 6-9i ------- 3i ============== = (2 - 3i)/i = i*(2 - 3i)/i^2 = (2i - 3i^2)/-1 = 3i^2 - 2i = -3 - 2i

Angles/742175: Can anyone help me? I've been stuck on this problem for days now: "Find the measure of an angle if its measure is four times the measure of its complement." 1 solutions Answer 452294 by Alan3354(30993)   on 2013-04-26 10:32:48 (Show Source): You can put this solution on YOUR website! "Find the measure of an angle if its measure is four times the measure of its complement." ----------- Angle + complement = 90 degs A + C = 90 A = 4C 4C + C = 90 5C = 90 C = 18 A = 90 - 18 Angle = 72 degs

Trigonometry-basics/742168: tanx sinx+sinX=o 1 solutions Answer 452292 by Alan3354(30993)   on 2013-04-26 10:13:45 (Show Source): You can put this solution on YOUR website! duplicate

Trigonometry-basics/742169: tanx sinx+sinX=o 1 solutions Answer 452291 by Alan3354(30993)   on 2013-04-26 10:11:55 (Show Source): You can put this solution on YOUR website! tanx sinx+sinX=o --------- tan(x)*sin(x) + sin(x) = 0 Are you too busy to try to make sense? sin(x)*(tan(x) + 1) = 0 sin(x) = 0 x = 0 + n*pi, n = 0,1,2,3... ------ tan(x) + 1 = 0 tan(x) = -1 x = 3pi/4 + n*pi, n = 0,1,2,3...

logarithm/742138: Write the given equation in logarithmic form. 7^2=2401 1 solutions Answer 452290 by Alan3354(30993)   on 2013-04-26 10:04:24 (Show Source): You can put this solution on YOUR website! Write the given equation in logarithmic form. 7^2=2401 ------------ It's not an equation since the 2 sides are not equal. 7^4 = 2401

test/742172: X^2.5=32 1 solutions Answer 452289 by Alan3354(30993)   on 2013-04-26 10:01:59 (Show Source): You can put this solution on YOUR website! duplicate

test/742171: X^2.5=32 1 solutions Answer 452288 by Alan3354(30993)   on 2013-04-26 09:58:44 (Show Source): You can put this solution on YOUR website! X^2.5=32 ----------- Square both sides x^5 = 1024 x = 4

logarithm/742163: How do you solve 49^log(base 7)(9)? 1 solutions Answer 452287 by Alan3354(30993)   on 2013-04-26 09:56:10 (Show Source): You can put this solution on YOUR website! How do you solve 49^log(base 7)(9)? ---------- Solve for what? There's no variable.

Triangles/742167: the graphs of y - 2x = 1, 4x + y = 7, and 2y - x = -4 contain the sides of the triangle. Find the coordinates and vertices of the triangle 1 solutions Answer 452286 by Alan3354(30993)   on 2013-04-26 09:51:47 (Show Source): You can put this solution on YOUR website! the graphs of y - 2x = 1, 4x + y = 7, and 2y - x = -4 contain the sides of the triangle. Find the coordinates and vertices of the triangle ----------------- Coordinates of the vertices? They're the intersections of the 3 lines. Solve the pairs of eqns 2 at a time. ---- y - 2x = 1 --> y = 2x + 1 4x + y = 7 Sub for y in the 2nd eqn 4x + (2x+1) = 7 x = 1 y = 3 --> (1,3) ================= 2y - x = -4 4x + 7 = 7 Solve for the intersection. -------- 2y - x = -4 y - 2x = 1 Solve for the 3rd vertex.

Pythagorean-theorem/742165: if b:11 in.; and c: 20 in. whats a? 1 solutions Answer 452285 by Alan3354(30993)   on 2013-04-26 09:46:50 (Show Source): You can put this solution on YOUR website! if b:11 in.; and c: 20 in. whats a? ----------------- How is a related to b & c ?

Trigonometry-basics/742157: How do you find the solutions for: sin^2(x)=sin(x)+2 1 solutions Answer 452284 by Alan3354(30993)   on 2013-04-26 09:37:08 (Show Source): You can put this solution on YOUR website! How do you find the solutions for: sin^2(x)=sin(x)+2 --------------- sin^2(x) - sin(x) - 2 = 0 sub for sin(x) u^2 - u - 2 = 0 (u - 2)*(u + 1) = 0 u = 2 --> sin(x) = 2 (no real number solution) u = -1 --> sin(x) = -1 x = pi + 2n*pi, n = 0, 1, 2, 3...

Surface-area/742125: The percentage change in the surface area of a cube when each side is tripled is 1 solutions Answer 452283 by Alan3354(30993)   on 2013-04-26 09:28:48 (Show Source): You can put this solution on YOUR website! The percentage change in the surface area of a cube when each side is tripled ------------------ Surface area is a function of the square of side length --- 3x length --> 9x SA An increase of 800% ======================= Notice that 8 times more = 9 times as much

Trigonometry-basics/741958: Find the radius of the circle when the central angle is π/2 and the arc length is 3π. 1 solutions Answer 452232 by Alan3354(30993)   on 2013-04-25 20:38:32 (Show Source): You can put this solution on YOUR website! Find the radius of the circle when the central angle is π/2 and the arc length is 3π. ----------- arc = angle*r r = arc/angle = 3pi/(pi/2) r = 6

Travel_Word_Problems/741972: WHAT is the unit rate of an airplane flying 1,200 miles in 6 hours? 1 solutions Answer 452230 by Alan3354(30993)   on 2013-04-25 20:36:58 (Show Source): You can put this solution on YOUR website! WHAT is the unit rate of an airplane flying 1,200 miles in 6 hours? ------------ d = r*t r = d/t

test/741980: Help please ?: find the measure of each angle to the nearest tenth of a degree. ; cos W = 0.0175 1 solutions Answer 452229 by Alan3354(30993)   on 2013-04-25 20:35:25 (Show Source): You can put this solution on YOUR website! find the measure of each angle to the nearest tenth of a degree. ; cos W = 0.0175 ------------- You need to get a calculator.

Numbers_Word_Problems/741882: I am the only one in class who does not understand these: Twice the tens digit of a positive, two-digit integer is 1 less than the ones digit. Reversing the digits increases the number by 45. What is the number? Can you please help me get started. 1 solutions Answer 452208 by Alan3354(30993)   on 2013-04-25 18:58:03 (Show Source): You can put this solution on YOUR website! Twice the tens digit of a positive, two-digit integer is 1 less than the ones digit. Reversing the digits increases the number by 45. What is the number? ------------------ t = 10's digit u = units ---- 2t + 1 = u 10t + u + 45 = 10u + t --- 2 eqns in 2 variables 2t + 1 = u --> u = 2t + 1 10t + u + 45 = 10u + t --> 9t + 45 = 9u --> t + 5 = u ------------- u = 2t + 1 t + 5 = u --- t + 5 = 2t + 1 t = 4 ---- u = 9 --> 49

Average/741910: simplify 10^2-6^2 1 solutions Answer 452207 by Alan3354(30993)   on 2013-04-25 18:52:28 (Show Source): You can put this solution on YOUR website! duplicate

�t�e�s�t/741903: If a/10 = 0.57, a is equal to what? 1 solutions Answer 452205 by Alan3354(30993)   on 2013-04-25 18:51:34 (Show Source): You can put this solution on YOUR website! If a/10 = 0.57, a is equal to what? ----------- Multiply both sides by 10

Average/741933: 10^3/10^-2= (a) 10 (b) 10 (c) 10 (d) 10 (e) None of these how do you solve this 1 solutions Answer 452203 by Alan3354(30993)   on 2013-04-25 18:50:33 (Show Source): You can put this solution on YOUR website! 10^3/10^-2= (a) 10 (b) 10 (c) 10 (d) 10 (e) None of these ---------------- Equations are solved. There's nothing on the right side, so it's not an equation. -------- PS a, b, c & d are the same. It's not 10.

Average/741911: simplify 10^2-6^2 with basic calculator 1 solutions Answer 452202 by Alan3354(30993)   on 2013-04-25 18:48:26 (Show Source): You can put this solution on YOUR website! simplify 10^2-6^2 with basic calculator --------------------- Is there some reason you can't do that?

Polynomials-and-rational-expressions/741921: Please help! What is (2x-5)^2 as a perfect square trinomial? 1 solutions Answer 452199 by Alan3354(30993)   on 2013-04-25 18:40:27 (Show Source): You can put this solution on YOUR website! What is (2x-5)^2 -------------- Multiply it. = (2x-5)*(2x-5) = 2x*(2x-5) - 5*(2x-5)

Angles/741922: can the angles in a triangle have the measures given? 67 degrees,108 degrees,15 degrees 163 deg,10.7 deg,6.3 deg 22 2/3 deg,57 1/3 deg, 100 deg 1 solutions Answer 452195 by Alan3354(30993)   on 2013-04-25 18:31:37 (Show Source): You can put this solution on YOUR website! can the angles in a triangle have the measures given? 67 degrees,108 degrees,15 degrees 163 deg,10.7 deg,6.3 deg 22 2/3 deg,57 1/3 deg, 100 deg --------------- The sum of the 3 angles has to be 180 degs. Add them.