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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Polynomials-and-rational-expressions/298042: (2x+3)^1.8=250 Solve for x 4 decimal places. I did not understand the answer I got. 1 solutions Answer 214510 by Alan3354(30993)   on 2010-04-28 19:33:19 (Show Source): You can put this solution on YOUR website! (2x+3)^1.8=250 --------------- If you don't understand it, how did you get it? (2x+3)^1.8=250 Take the "1.8 root" of both sides. The 1.8 root of 250 = 2x+3 = 21.48764863 x =~ 9.2438

Geometry_Word_Problems/297935: What is the vertex of angle CRT 1 solutions Answer 214479 by Alan3354(30993)   on 2010-04-28 17:22:45 (Show Source): You can put this solution on YOUR website! I think an angle is a vertex

Polynomials-and-rational-expressions/297924: Can someone explain to me what I did incorrectly with the following problem. (0.1x^6)(0.2x^4) I have the answer of 0.0016^6. My teacher advises to Multiply coefficients and then the variables. Can someone lay this out the correct way so I can compare to my work and make it click? Thanks again. 1 solutions Answer 214473 by Alan3354(30993)   on 2010-04-28 17:05:27 (Show Source): You can put this solution on YOUR website! 0.1x^6)(0.2x^4) I have the answer of 0.0016^6 Your answer has no x. ----------- (0.1x^6)(0.2x^4) = 0.02x^10 0.1*0.2 = 0.02 --------------- --> 0.02x^10

Inequalities/297922: how do i do x> 3 ? i watched in class today and it makes no sense to me on figuring it out!!! :( 1 solutions Answer 214470 by Alan3354(30993)   on 2010-04-28 16:57:14 (Show Source): You can put this solution on YOUR website! There's nothing to do. It says that "x is greater than 3" That's all ------------ If someone says, "A car weighs more than 2000 pounds", there's nothing to figure out about it. w>2000 weight is greater than 2000

Travel_Word_Problems/297900: An airplane flying into a headwind travels 920 miles in 4 hours and 36 minutes. On the return flight, the distance is traveled in 4 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant. My dad tried to help me out on this problem, and he thinks that the answer is 200mph for the speed of the plane, and 15 mph for the speed of the wind. He wasn't sure about it and he couldn't really explain how he did it. So if you could help me out that would be great. 1 solutions Answer 214457 by Alan3354(30993)   on 2010-04-28 16:34:25 (Show Source): You can put this solution on YOUR website! An airplane flying into a headwind travels 920 miles in 4 hours and 36 minutes. On the return flight, the distance is traveled in 4 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant. My dad tried to help me out on this problem, and he thinks that the answer is 200mph for the speed of the plane, and 15 mph for the speed of the wind. He wasn't sure about it and he couldn't really explain how he did it. So if you could help me out that would be great. ------------------ The groundspeed upwind is 920/4.6 = 200 mph Downwind, it's 920/4 = 230 mph The airspeed of the plane is the average of those, = 215 mph. ------------------------ The windspeed is the difference, = 15 mph +++++++++++++++++++++++++++++++++++++++++++ You can do it the hard way: a = airspeed w = windspeed a + w = 920/4 = 230 downwind a - w = 920/4.6 = 200 upwind ------------------------ Add 2a = 430 a = 215 --------- w = 15

Rectangles/297895: What is the length and width of a triangle when the diagnal is 35 and the perimeter is 98? 1 solutions Answer 214452 by Alan3354(30993)   on 2010-04-28 16:29:08 (Show Source): You can put this solution on YOUR website! I don't know what the diagonal of a triangle is. I don't think that's sufficient info.

percentage/297893: favorite season 30 like summer , 15 like winter. 5 like spring , find the measure of each central angel 1 solutions Answer 214446 by Alan3354(30993)   on 2010-04-28 16:22:22 (Show Source): You can put this solution on YOUR website! that makes no sense.

Angles/297856: An ice cube that measures 3 centimeters on each side contains how many cubic centimeters of ice? Include correct units with your solution. 1 solutions Answer 214444 by Alan3354(30993)   on 2010-04-28 16:21:20 (Show Source): You can put this solution on YOUR website! 3 cm * 3 cm * 3 cm = 27 cubic cm or 27 milliliters

Divisibility_and_Prime_Numbers/297889: what is 2/3 divided by 1/4? 1 solutions Answer 214437 by Alan3354(30993)   on 2010-04-28 16:15:39 (Show Source): You can put this solution on YOUR website! Invert the divisor and multiply: = (2/3)*4 = 8/3

Quadratic-relations-and-conic-sections/297876: x=5y^2+25y+60 how do I graph this? 1 solutions Answer 214434 by Alan3354(30993)   on 2010-04-28 16:14:25 (Show Source): You can put this solution on YOUR website! x=5y^2+25y+60 how do I graph this? ------------ Pick values for y and find x eg, y = 0, x = 60 --> (60,0) y = -2, x = 30 --> (30,-2) etc. ----------------- You can have Excel do the arithmetic, and make the graph.

Quadratic_Equations/297878: Can someone help me with this question? Given the pair of linear equations in two variables: Find the x- and y-intercepts (if any) for each line. Show your work. Apply elimination or substitution to find the coordinates of the point of intersection. State if there are no solutions or infinite solutions x+5y=2 2x=-10y+4 1 solutions Answer 214431 by Alan3354(30993)   on 2010-04-28 16:11:48 (Show Source): You can put this solution on YOUR website! x+5y=2 2x=-10y+4 ---------- The 2 equations are the same: 2x=-10y+4 2x + 10y = 4 x + 5y = 2 --> dependent, an infinite # of solutions. -------------------- To find the intercepts: for x, y = 0 --> x = 2 x-intercept at (2,0) ------------- for y, x = 0 --> y = 2/5 y-intercept at (0,2/5)

Geometric_formulas/297848: An inflated beach ball with radius r=25 centimeters hold approximately 65.400 cubic centimeters of air. When the ball is compressed, the radius is 2/3 the original size. Approximately how much air does the partially deflated ball now hold? 1 solutions Answer 214408 by Alan3354(30993)   on 2010-04-28 14:58:21 (Show Source): You can put this solution on YOUR website! An inflated beach ball with radius r=25 centimeters hold approximately 65.400 cubic centimeters of air. When the ball is compressed, the radius is 2/3 the original size. Approximately how much air does the partially deflated ball now hold? --------------- The amount of air by mass is the same. For the change in volume: Volume is a function of the cube of the radius. (2/3)*r --> (8/27)*Volume --> Volume = 19,378 cc

Surface-area/297828: Find the area of the given triangle with angle B = 20°, angle C = 115°, and c = 16. 1 solutions Answer 214404 by Alan3354(30993)   on 2010-04-28 14:21:22 (Show Source): You can put this solution on YOUR website! Angle A = 45 degs Find side a using Law of Sines: a/sin(45) = 16/sin(115) a = 16*sin(45)/sin(115) a is the base ---------------- h = 16*sin(20) Area = bh/2 = 128*sin(20)*sin(45)/sin(115) Area =~ 34.156 sq units

Linear-systems/297834: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. 2x-y=4 2x-y=3 1 solutions Answer 214402 by Alan3354(30993)   on 2010-04-28 14:19:31 (Show Source): You can put this solution on YOUR website! The left side is the same. --> parallel lines, inconsistent, no solution

Complex_Numbers/297815: How do you solve -i to the 15th power? 1 solutions Answer 214398 by Alan3354(30993)   on 2010-04-28 13:55:29 (Show Source): You can put this solution on YOUR website! How do you solve -i to the 15th power? -------------- There's nothing to be solved. You can calculate i is the sqrt(-1) It repeats every 4th power. 15 = 3*4 + 3 --> i^15 = i^3 = -i

Equations/297749: Set up an equation and solve. Find two intergers whose products is 104 such that one of the integers is more than three times less than the other integer. 1 solutions Answer 214356 by Alan3354(30993)   on 2010-04-28 12:16:13 (Show Source): You can put this solution on YOUR website! more than three times less than the other integer. ------------------ What does that mean?

Quadratic_Equations/297707: Could someone describe how the discriminant can help you choose a strategy for solving a quadratic equation? I understand it can help you decide weather or not the equation has any real solutions rational or irrational but I don't understand anymore then that. 1 solutions Answer 214343 by Alan3354(30993)   on 2010-04-28 11:10:10 (Show Source): You can put this solution on YOUR website! If you've calculated the discriminant, why not continue with the quadratic equation? It works in all cases.

logarithm/297688: whats log cube 245 1 solutions Answer 214337 by Alan3354(30993)   on 2010-04-28 10:32:15 (Show Source): You can put this solution on YOUR website! Is it the log(245^3) ? The (log(245))^3 ? Do you mean cubed? Do you have a calculator?

Travel_Word_Problems/297693: A cross-country flight traveling with the wind covers 3000 miles in 5 hours. The same plane then changes direction and travels to Texas, against the wind, covering 1500 miles in 3 hours. What are the wind speed, and the speed of the plane in still air? 1 solutions Answer 214334 by Alan3354(30993)   on 2010-04-28 10:29:09 (Show Source): You can put this solution on YOUR website! A cross-country flight traveling with the wind covers 3000 miles in 5 hours. The same plane then changes direction and travels to Texas, against the wind, covering 1500 miles in 3 hours. What are the wind speed, and the speed of the plane in still air? ------------------------ 3000/5 = 600 mph downwind 1500/3 = 500 mph upwind The average is the airspeed, = 550 mph. The windspeed is the difference, 50 mph. --------------------- PS Airplanes use knots, not mph. 1 knot = 1 nautical mile per hour. "speed in still air" is airspeed.

Quadratic_Equations/297684: I understand how to use the quadratic formula when i'm asked to solve an problem that's straight forward like: x^2+8x+15=0, i can figure out that the answer is {-2/3,4}. I cant understand how to solve the following problem using the quadratic formula: z^2/1=z/5+6/5 I'm not sure if it's because it involves fractions and i just get really nervous but i'm not sure how to go about solving this problem... 1 solutions Answer 214331 by Alan3354(30993)   on 2010-04-28 10:15:41 (Show Source): You can put this solution on YOUR website! z^2/1=z/5+6/5 Step 1, eliminate fractions. Multiply thru by 5 5z^2 = z + 6

Polygons/297553: suppose one edge of a cubic tank is 8m and the tank is filled with water. Find the following: 1. the volume of the tank in cubic meters. 2. the capacity of the tank in liters. 3. the mass of water in kilograms. 1 solutions Answer 214255 by Alan3354(30993)   on 2010-04-27 22:23:57 (Show Source): You can put this solution on YOUR website! suppose one edge of a cubic tank is 8m and the tank is filled with water. Find the following: 1. the volume of the tank in cubic meters. ---------------------------- 2. the capacity of the tank in liters = 512,000 liters ----------------- 3. the mass of water in kilograms. = 512,000 kg

Linear-equations/297474: Hi everyone. I need your help one this one! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check. Thanks! 1 solutions Answer 214219 by Alan3354(30993)   on 2010-04-27 21:00:26 (Show Source): You can put this solution on YOUR website! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check ---------------------------- Sub 2.5 for m, see if the 2 sides are equal 5(2.5-3) =? 2(2.5-2) + 5 5*-0.5 =? 2*0.5 + 5 -2.5 =? 6 It isnt', so m<>2.5 -------------------------------- 5(2m-3)=2(m-2)+5 10m-15 = 2m-4 + 5 = 2m+1 8m-15 = 1 8m = 16 m = 2 ------ You can check it as I did.

Finance/297500: roduct of 2 numbers is 1.If one number is 3, what is the other number? 1 solutions Answer 214214 by Alan3354(30993)   on 2010-04-27 20:17:52 (Show Source): You can put this solution on YOUR website! It's the reciprocal, 1/3. 2 numbers whose product is 1 are reciprocals. n * (1/n) = 1

Volume/297411: the bottom of the box is 10 1/2 inches long and 5 inches wide. The box is 3 inches high. what is the volume of the box? 1 solutions Answer 214198 by Alan3354(30993)   on 2010-04-27 19:06:36 (Show Source): You can put this solution on YOUR website! The product. cubic inches, not square inches.

Mixture_Word_Problems/297443: the number is equal to both the sum and the product of the same three numbers 1 solutions Answer 214196 by Alan3354(30993)   on 2010-04-27 19:02:45 (Show Source): You can put this solution on YOUR website! 6 is one, there might be others.

Miscellaneous_Word_Problems/297320: Show that each of the following is an identity 1+tan^2x / csc^2x = tan^2x Cos^4x - 2cos^2x + 1 + sin^4x 1+cosx/sinx + sinx/cosx = 1+cosx/sinxcosx 1 solutions Answer 214117 by Alan3354(30993)   on 2010-04-27 15:32:56 (Show Source): You can put this solution on YOUR website! Show that each of the following is an identity 1+tan^2x / csc^2x = tan^2x Change all terms to sine and cosines. ---------------------------------------- Cos^4x - 2cos^2x + 1 + sin^4x No equal sign. ------------------------ 1+cosx/sinx + sinx/cosx = 1+cosx/sinxcosx Multiply thru by sin*cos

Miscellaneous_Word_Problems/297319: Find all the solutions if 0 degrees < or equal x < 360 2sin^2x - sinx = 1 1 solutions Answer 214115 by Alan3354(30993)   on 2010-04-27 15:29:42 (Show Source): You can put this solution on YOUR website! 2sin^2x - sinx = 1 2sin^2(x) - sin(x) - 1 = 0 It's a quadratic in sin(x) (2sin +1 )*(sin - 1) = 0 sin = -1/2 sin = 1 -------- sin = -1/2 --> x=210, 330 sin = 1 --> x = 90 All values of x in degrees

logarithm/297159: I do not understand any of these.. I know it seems kind of like a lot but these are the last few on a paper of 200questions that I don't understand =[ I put "v" next to the numbers and symbols that are supposed to go down. 1.) log7 + 1 solutions Answer 214114 by Alan3354(30993)   on 2010-04-27 15:25:08 (Show Source): You can put this solution on YOUR website! If you send what you tried, I'll help you with it. If you post your efforts on the site, most of the tutors will check it for you, too. If you (or anyone) post a list of problems, and show no effort, it's likely to be ignored. -------------- email me at Moral Loophole@aol.com

Volume/297305: Find the volume of a sphere with a diameter of 6 m. 1 solutions Answer 214111 by Alan3354(30993)   on 2010-04-27 15:17:31 (Show Source): You can put this solution on YOUR website!

Linear_Algebra/297273: (sqrt(2x-9))+4=3 1 solutions Answer 214094 by Alan3354(30993)   on 2010-04-27 14:13:16 (Show Source): You can put this solution on YOUR website! 2x-9 = 1 2x = 10 x = 5

Expressions-with-variables/297227: The circumference of a circle is 32 meters. What is its area? (Use п = 3.14. Hint: Area of Circle: A = пr2 and Circumference of Circle: C = 2пr) 1 solutions Answer 214088 by Alan3354(30993)   on 2010-04-27 14:05:42 (Show Source): You can put this solution on YOUR website! You have the formulas. Sub the values and calculate it. Use the formula for circumference to find r. Then find the area. -------------------