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Alan3354 answered: 30973 problems
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Radicals/438457: I need help solving this equation. Im not exactly sure how to type it and this is my best interpretation of it. (fourth root of ((5x^2)-6))=(x) 1 solutions Answer 303211 by Alan3354(30993)   on 2011-04-20 14:55:05 (Show Source): You can put this solution on YOUR website! Raise both sides to the 4th power Can you finish it?

Rectangles/438464: The perimeter of a retangle is 64m. What are three possible measurements for the length and width? What is the area of these rectangles? 1 solutions Answer 303209 by Alan3354(30993)   on 2011-04-20 14:45:26 (Show Source): You can put this solution on YOUR website! Why 3? There are an infinite # of possibilities. eg, 1 by 31 --> Area = 31 2 by 30 --> Are = 20 3 by 29 --> Area = 87 pi by 28.8584 --> Area = 90.6614 16 by 16 --> Area = 256 (the maximum area)

Graphs/438468: Could someone pleas show me how to solve the system by elimination method? 5x+3y=-7 7x-2y=13 1 solutions Answer 303206 by Alan3354(30993)   on 2011-04-20 14:37:04 (Show Source): You can put this solution on YOUR website! Multiply the 1st eqn by 2, and the 2nd by 3, then add them. That will eliminate the y terms.

Geometric_formulas/438465: A segment has endpoints at (2, -15) and (8, 4). What is the midpoint of the segment? 1 solutions Answer 303205 by Alan3354(30993)   on 2011-04-20 14:35:49 (Show Source): You can put this solution on YOUR website! Find the average of x and y separately.

Linear-equations/438459: Where do the two graphs and intersect? 1 solutions Answer 303203 by Alan3354(30993)   on 2011-04-20 14:23:57 (Show Source): You can put this solution on YOUR website! Where f(x) and g(x) are equal. 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 -39 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 -39 is + or - . The solution is , or Here's your graph: --------- The solutions are not real numbers, so the graphs do not intersect.

Trigonometry-basics/438443: Prove the given statement is an identity sin^2x (1+ tan^2)x = tan^2 x 1 solutions Answer 303199 by Alan3354(30993)   on 2011-04-20 14:16:41 (Show Source): You can put this solution on YOUR website! I think you mean sin^2x (1+ tan^2(x)) = tan^2 x sin^2 + sin^4/cos^2 = sin^2/cos^2 sin^2cos^2 + sin^4 = sin^2 sin^2(cos^2 + sin^2) = sin^2 sin^2 = sin^2

logarithm/438437: What is log base 2 of x = 3-log base 2 of 2x 1 solutions Answer 303193 by Alan3354(30993)   on 2011-04-20 14:04:37 (Show Source): You can put this solution on YOUR website! It's an unclear equation in x.

Proportions/438426: what is the slope of a binomial 2x+3 1 solutions Answer 303192 by Alan3354(30993)   on 2011-04-20 14:01:22 (Show Source): You can put this solution on YOUR website! A binomial does not have a slope. At least 2 variables are necessary for a slope to exist.

Quadratic_Equations/438431: Solve the indicated variable. A=P(2+r)^2. r=? That should be the power of 2. I'm not sure how to start. I know I have to get the r by itself but the P is throwing me off. If the P wasn't there I would have squared both sides. Any help would be greatly appreciated. 1 solutions Answer 303188 by Alan3354(30993)   on 2011-04-20 13:50:20 (Show Source): You can put this solution on YOUR website! Solve the indicated variable. A=P(2+r)^2. r=? ----------

Functions/438432: x^3-6x^2+7x+2=0 1 solutions Answer 303187 by Alan3354(30993)   on 2011-04-20 13:44:17 (Show Source): You can put this solution on YOUR website! 1st, check for zeroes of ± 1 and ± 2.

Quadratic_Equations/438428: How would you solve the problem: The height of a ball is measured by the function h(t)=-16t^2+112t-64, where h(t) is measured in feet and t is time in seconds. (a) Evaluate h(2) and explain what dependent and independent variables represent. (b) What is the height of the ball at 3 seconds? (c) When is the ball at a height of 128 ft.? 1 solutions Answer 303185 by Alan3354(30993)   on 2011-04-20 13:40:29 (Show Source): You can put this solution on YOUR website! How would you solve the problem: The height of a ball is measured by the function h(t)=-16t^2+112t-64, where h(t) is measured in feet and t is time in seconds. (a) Evaluate h(2) and explain what dependent and independent variables represent. sub 2 for y h(2) = -16*4 + 224 - 64 = 144 feet h(2) is the height at 2 seconds, 2 is the time in seconds. ----------------------- (b) What is the height of the ball at 3 seconds? h(3) = -16*9 + 112*3 - 64 = 128 feet --------------------- (c) When is the ball at a height of 128 ft.? 128 = -16t^2 + 112t - 64 t^2 - 7t - 12 = 0 t = 3 seconds (ascending) t = 4 seconds (descending)

Graphs/438423: Please help me graph this linear equation 5x-y=-8 1 solutions Answer 303184 by Alan3354(30993)   on 2011-04-20 13:34:15 (Show Source): You can put this solution on YOUR website! It's a straight line, so you need 2 points. at x=0, y = 8 --> (0,8) at y=0, x = -1.6 --> (-1.6,0) Plot them, draw a line thru them

logarithm/438410: Solve the equation for x. Round your answer to two decimal places, and do not include "x =" in your answer. 2x = 5.6962 1 solutions Answer 303180 by Alan3354(30993)   on 2011-04-20 13:18:20 (Show Source): You can put this solution on YOUR website! 2x = 5.6962 x = 2.8481 --> 2.85

Travel_Word_Problems/438307: if you are 16 miles from ann arbor, how long will it take to get there if your average speed is 42 miles per hour 1 solutions Answer 303163 by Alan3354(30993)   on 2011-04-20 10:57:23 (Show Source): You can put this solution on YOUR website! 16/42 hours

Probability-and-statistics/438339: Please help me with this question...I can't just figure it out. A local restaurant offers 6 appetizers, 12 entrees, and 4 desserts. How many different meal combinations consisting of one appetizer, one entree, and one dessert could you order? 1 solutions Answer 303158 by Alan3354(30993)   on 2011-04-20 10:47:19 (Show Source): You can put this solution on YOUR website! 6 appetizers, 12 entrees, and 4 desserts. How many different meal combinations consisting of one appetizer, one entree, and one dessert could you order? ---------- It's 1 of 6 times 1 of 12 times 1 of 4 6*12*4 = 288

Square-cubic-other-roots/438283: (x+9)^2=18 1 solutions Answer 303151 by Alan3354(30993)   on 2011-04-20 09:45:50 (Show Source): You can put this solution on YOUR website!

Trigonometry-basics/438295: The sides of a triangle are 2cm, 3cm, and 4cm. Determine the measurement of the angle opposite the longest side. 1 solutions Answer 303149 by Alan3354(30993)   on 2011-04-20 09:43:24 (Show Source): You can put this solution on YOUR website! Use the Cosine Law. Solve for cos(A)

Travel_Word_Problems/438266: What is the speed of a race horse that runs 1500 miles in 125 seconds? 1 solutions Answer 303146 by Alan3354(30993)   on 2011-04-20 09:29:51 (Show Source): You can put this solution on YOUR website! 12 miles per second, which is almost twice the Earth's escape velocity. He probably left the planet, which explains why didn't hear about it.

Rectangles/438276: a rectangle with length of 15 and width of 8 = _____sq ft 1 solutions Answer 303143 by Alan3354(30993)   on 2011-04-20 09:17:14 (Show Source): You can put this solution on YOUR website! Area = length*width = 15*8 sq ft

Equations/438288: Please help me solve equation : 6[2(3.5+8.6)] 1 solutions Answer 303142 by Alan3354(30993)   on 2011-04-20 09:15:06 (Show Source): You can put this solution on YOUR website! Please help me solve equation : 6[2(3.5+8.6)] ---------- This is not an equation, there's no equal sign. You can simplify, or evaluate the expression, but there's nothing to solve. ---------- 6[2(3.5+8.6)] Work from the inside out. = 6[2(12.1)] = 6*2*12.1 = 145.2

Trigonometry-basics/438285: If the cos B = 0.9659, find m ∠B to the nearest degree. 1 solutions Answer 303141 by Alan3354(30993)   on 2011-04-20 09:02:07 (Show Source): You can put this solution on YOUR website! B = 15 degs Do you not have a calculator?

Distributive-associative-commutative-properties/438282: How do I solve for the variable s in this problem g=cst 1 solutions Answer 303139 by Alan3354(30993)   on 2011-04-20 08:51:20 (Show Source): You can put this solution on YOUR website! Divide both sides by ct

Miscellaneous_Word_Problems/438270: A 65-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lenghts of the two pieces. 1 solutions Answer 303138 by Alan3354(30993)   on 2011-04-20 08:39:42 (Show Source): You can put this solution on YOUR website! Hint: x + 4x = 65

Equations/438278: i love some one who i never met him he doesn't know me but the weird is that he accepted me on facebook and i saw hime one day in a restursnt but i'm sure he didn't realize me so im really in love with him the question is: how can i make him fall in love with me? 1 solutions Answer 303136 by Alan3354(30993)   on 2011-04-20 08:38:39 (Show Source): You can put this solution on YOUR website! Is he good at math?

Length-and-distance/438239: Please help with this question,I'm really stock.I need this tomorrow.Thank you.. A cross country race course on flat ground has runners,Jedd and Rodney, heading from point A for 3.5km on a bearing of 047degrees temperature to point B. From B they turn and run for 2.8km on a bearing of 342degrees temperature to point C. They then run back to point A. (a.) Determine the distance from C back to A. (b.) At what bearing does the course follow from C back to A? 1 solutions Answer 303135 by Alan3354(30993)   on 2011-04-20 08:36:11 (Show Source): You can put this solution on YOUR website! A cross country race course on flat ground has runners,Jedd and Rodney, heading from point A for 3.5km on a bearing of 047degrees temperature to point B. From B they turn and run for 2.8km on a bearing of 342degrees temperature to point C. They then run back to point A. (a.) Determine the distance from C back to A. (b.) At what bearing does the course follow from C back to A? ----------------- These degrees have nothing to do with temperature ??? They're compass headings. No wonder you're "stock." ------------ 0 degrees is North. 047 degs is 47 degrees to the East of North. If you make a sketch, you'll see that angle CBA = 115 degrees (not a heading) Now you have a triangle with 2 sides and the included angle. Use the Cosine Law to find side AC, side b. b =~ 5.32666 km = distance from C to A --------------- --------------- Find angle C using the Law of Sines: b/sin(115) = 3.5/sin(C) sin(C) = 3.5*sin(115)/b =~ 0.5955 Angle C = 36.55 degs (not a heading) --------------------- The heading from A to C = 047 - 36.55 =~ 010 From C to A is the reciprocal, Heading = 190 degrees

Pythagorean-theorem/438228: b=3, c=7 1 solutions Answer 303119 by Alan3354(30993)   on 2011-04-20 06:39:31 (Show Source): You can put this solution on YOUR website! And? Do you have a question?

Trigonometry-basics/438253: If and , show that . 1 solutions Answer 303118 by Alan3354(30993)   on 2011-04-20 06:36:22 (Show Source): You can put this solution on YOUR website! It's theta, not theeta. ----------- I got an email and looked it up, and it is "theeta" in some other language. I don't know what that language is, tho. ----------- I replied to you email questions, but I get a kick-back on the email I send.

Trigonometry-basics/438254: Sketch the graphs of for 0 degrees is smaller than or equal to x and 360 degrees is greater than or equal to x. 1 solutions Answer 303117 by Alan3354(30993)   on 2011-04-20 06:35:16 (Show Source): You can put this solution on YOUR website! Sketch the graphs of for 0 degrees is smaller than or equal to x and 360 degrees is greater than or equal to x. ------------------ It's the tangent shifted up by 2. ------------ dl the FREE graph software at http://www.padowan.dk

Travel_Word_Problems/438116: Matt says he's faster than Alex. He rode 20 feet in 5 minutes. What is Matt's speed, and is he faster than Alex? 1 solutions Answer 303046 by Alan3354(30993)   on 2011-04-19 21:06:01 (Show Source): You can put this solution on YOUR website! 20 ft/5 min = 4 ft/min It's hard to imagine anyone slower than that unless he's riding a turtle.

Quadratic_Equations/438123: Use the quadratic formula to solve the equation. 0=x^2-2x-15 1 solutions Answer 303045 by Alan3354(30993)   on 2011-04-19 21:02:23 (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=64 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 5, -3. Here's your graph:

Expressions-with-variables/438125: I am lost, here is the question... y varies directly as the square of x. If y=162 when r=9, find y when r=3 1 solutions Answer 303044 by Alan3354(30993)   on 2011-04-19 21:01:09 (Show Source): You can put this solution on YOUR website! If you mean it varies with r: -------- y = k/r^2 You can find the constant 162 = k*(9^2) = k*81 k = 2 ---------- at r=3, y = 2*3^2 y = 18 ------------ You don't have to find the constant at r = 3, y = 162/(9/3)^2 = 162/9 = 18 r is 1/3, so y is (1/3)^2 of 162 = 18