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Alan3354 answered: 30973 problems
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Geometry_Word_Problems/268477: if the measure of one interior angle is 140 degress,how many7 sides does the polygon have 1 solutions Answer 196738 by Alan3354(30993)   on 2010-02-11 10:52:59 (Show Source): You can put this solution on YOUR website! It has to be at least 3. It could be 7, but can be any number >3.

Matrices-and-determiminant/268461: solve the following equation. |0 0 -1| |3 x 0| = x^*2 |2 0 3| 1 solutions Answer 196735 by Alan3354(30993)   on 2010-02-11 10:41:55 (Show Source): You can put this solution on YOUR website! Is x^*2 x squared? If so 2x = x^2 x = 0 x = 2

Polynomials-and-rational-expressions/268431: Good morning guys. My question is: Assuming no denominator equals 0 and that X and Y are integers greater than 1, simplify the fraction yx^2m ______ y^m-1 x^n I combined exponents X^2mn _______ Y^2^m-1 And the answer I got Y^-m x^2m+n Any help is much appreciated. Thank you all! 1 solutions Answer 196708 by Alan3354(30993)   on 2010-02-11 09:08:12 (Show Source): You can put this solution on YOUR website! simplify the fraction yx^2m ______ y^m-1 x^n I combined exponents X^2mn _______ Y^2^m-1 And the answer I got Y^-m x^2m+n ---------------------- =

expressions/268433: can you tell me how to work the following problem? find the value of x: x+ 2 3/4= 3 7/8 1 solutions Answer 196704 by Alan3354(30993)   on 2010-02-11 08:55:15 (Show Source): You can put this solution on YOUR website! x+ 2 3/4= 3 7/8 Change to improper fractions x + 11/4 = 31/8 Get the same DEN x + 22/8 = 31/8 Subtract 22/8 x = 9/8 -------- You can make it 1 1/8, but there's no reason to do so.

logarithm/268425: Rewrite as an equivalent logarithmic equation. Do not solve. 10^0.6021=4 I came up with 4=log 10^0.6021. Is this correct? 1 solutions Answer 196702 by Alan3354(30993)   on 2010-02-11 08:50:17 (Show Source): You can put this solution on YOUR website! Rewrite as an equivalent logarithmic equation. Do not solve. 10^0.6021=4 I came up with 4=log 10^0.6021. Is this correct? -------------------- Using a calculator, 4 is equal to 10^0.6021, so it is correct. I think what's wanted is log(4) = 0.6021 tho. Your statement has an exponent in it, and no log. --------------------- 4=log 10^0.6021 One more step: log(10^a) = a Take the log of both sides: log(4) = 0.6021

Travel_Word_Problems/268325: With the wind a jet can fly 2500km in 2 hours 30 min. Against the wind, it can fly only 2000km in the same time. Find the rate of the jet in still air and the rate of the wind. 1 solutions Answer 196670 by Alan3354(30993)   on 2010-02-10 21:09:54 (Show Source): You can put this solution on YOUR website! With the wind a jet can fly 2500km in 2 hours 30 min. With wind DATA: distance = 2500 km ; time = 2.5 hrs ; rate = 2500/2.5 = 1000 kmh ---------------------------------------------------------------------- Against the wind, it can fly only 2000km in the same time. Against wind DATA: distance = 2000 km ; time = 2.5 hrs ; rate = 2000/2.5 = 800 kmh ------------------- The airspeed is the average, 900 kph The windspeed is the difference, 100 kph ----------------- Airplanes don't use kilometers and kph, they use nautical miles and knots. 1 knot = 1 nm/hr ---------------- Pilots don't use "speed in still air", it's airspeed. Airspeed + k*windspeed = ground speed (k because the wind is not always a direct headwind or tailwind)

Polynomials-and-rational-expressions/268328: This question concerns dividing polynomials using long division. I think I may have figured the first few steps, jsut unsure how to complete. x^3-5x^2+7x-4/x-3 I started to try divide then just totally got lost. Any help would be much appreciated. 1 solutions Answer 196669 by Alan3354(30993)   on 2010-02-10 21:05:02 (Show Source): You can put this solution on YOUR website! = remainder -1

Square-cubic-other-roots/268331: how do you solve the square root of (316-2sqr of 3072) 1 solutions Answer 196668 by Alan3354(30993)   on 2010-02-10 21:02:21 (Show Source): You can put this solution on YOUR website! I would use a calculator

Divisibility_and_Prime_Numbers/268336: Find the prime factorization of 5665 1 solutions Answer 196666 by Alan3354(30993)   on 2010-02-10 21:00:58 (Show Source): You can put this solution on YOUR website! Did you try it?

Polynomials-and-rational-expressions/268324: This question has to do with "To multiply polynomials that have special products" it asks to simplify or expand. Here is the question. (x-y)^2-(x+y)^2 Ive tried to work out the problem a various ways; however, I can never seem to work out properly. I know the correct answer is -4xy just not sure hot to get it. 1 solutions Answer 196660 by Alan3354(30993)   on 2010-02-10 20:41:02 (Show Source): You can put this solution on YOUR website! (x-y)^2-(x+y)^2 ----------------- 2 ways to do this: You can multiply everything out, collect terms. = x^2 - 2xy + y^2 - (x^2 + 2xy + y^2) = -4xy -------- Or, treat it as the difference of 2 squares a^2 - b^2 a^2 - b^2 = (a+b)*(a-b) ----------- (x-y)^2-(x+y)^2 = { (x-y) + (x+y) }*{ (x-y) - (x+y) } = (2x)*(-2y) = -4xy

Equations/268286: Please help with this problem, this is what I have so far: Problem: Height of a projected ball, An astronaut on the moon throws a baseball upward. The astronaut is 6ft., 6in. tall, and the initial velocity of the ball is 30 ft. per sec. The height S of the ball in feet is given by the equation S= -2.7t^2 + 30t + 6.5 where t is the number of seconds after the ball was thrown. A.) After how many seconds is the ball 12ft above the moon's surface? Round to the nearest hundreth. I know I have to look for the seconds, which is t so then I have to solve for S, the height. This is have I've got so far: 12 = 2.7t^2 + 30t + 6.5 -12 -12 ------------------------ 0 = 2.7t^2 + 30t - 5.5 B.)How many seconds will it take fore the ball to return to the surface? Round to the nearest hundredth. So on the second part of the equation I have to look for the time, so that means that I have to solve for the height... Thanks for your help in advance. 1 solutions Answer 196652 by Alan3354(30993)   on 2010-02-10 20:15:08 (Show Source): You can put this solution on YOUR website! An astronaut on the moon throws a baseball upward. The astronaut is 6ft., 6in. tall, and the initial velocity of the ball is 30 ft. per sec. The height S of the ball in feet is given by the equation S= -2.7t^2 + 30t + 6.5 where t is the number of seconds after the ball was thrown. A.) After how many seconds is the ball 12ft above the moon's surface? Round to the nearest hundreth. I know I have to look for the seconds, which is t so then I have to solve for S, the height. This is have I've got so far: 12 = 2.7t^2 + 30t + 6.5 *** It's -2.7 -12 -12 ------------------------ 0 = -2.7t^2 + 30t - 5.5 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=840.6 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.18646247628908, 10.924648634822. Here's your graph: --------------- Notice there are 2 numbers, the smallest is going up, the other coming back down. ------------- B.)How many seconds will it take for the ball to return to the surface? Round to the nearest hundredth. It's at the surface when h = 0 -2.7t^2 + 30t + 6.5 = 0 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=970.2 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -0.212598823296627, 11.3237099344077. Here's your graph: ------------ Ignore the negative number. t = 11.32 seconds So on the second part of the equation I have to look for the time, so that means that I have to solve for the height...

Reduction-of-unit-multipliers/268307: If you run at 5 m/s how long does it take to travel 7 meters? 1 solutions Answer 196648 by Alan3354(30993)   on 2010-02-10 20:06:02 (Show Source): You can put this solution on YOUR website! You have 2 numbers to work with. Give it a try.

Money_Word_Problems/268306: construct a formula to predict what I would have after 30 years If I invest 500 dollars at an annual interest rate of 6% ? How would I figure this out. I have been stuck for a week now. Thank you 1 solutions Answer 196647 by Alan3354(30993)   on 2010-02-10 20:05:24 (Show Source): You can put this solution on YOUR website! construct a formula to predict what I would have after 30 years If I invest 500 dollars at an annual interest rate of 6% ? How would I figure this out. I have been stuck for a week now. Thank you ------------------- Simple interest or compounded? How often is it compounded?

Functions/268282: Find the x intercepts and the vertex of the parabola. (Enter answers from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.) f(x)= 4x squared-64 1 solutions Answer 196645 by Alan3354(30993)   on 2010-02-10 19:59:31 (Show Source): You can put this solution on YOUR website! f(x)= 4x squared-64 What would you try next?

Graphs/268227: i am trying to use the given conditions to write an equation for the line slope intercept form: (10, 12) and parallel to y=3x-8. i just need to see how it is worked out im sure that i have the right answer but get confused trying to work backwards 1 solutions Answer 196628 by Alan3354(30993)   on 2010-02-10 18:10:59 (Show Source): You can put this solution on YOUR website! Do it like this: A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel have the same slope. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note or at moralloophole@aol.com

Surface-area/268206: Hi, I am a mom who is trying to help my 11 year old with a math problem. The question is 1. Find the total surface area of a cube whose edge is 2 meters long. I believe that the answer would be (2x2)6 = 24 He thinks it is (2x1)8 = 16 m He thinks that a cube has 8 edges so it would be x 8. I think it would be times 6 but can not remember why. Algebra was a long long time ago. Please help. 1 solutions Answer 196620 by Alan3354(30993)   on 2010-02-10 17:34:26 (Show Source): You can put this solution on YOUR website! Hi, I am a mom who is trying to help my 11 year old with a math problem. The question is 1. Find the total surface area of a cube whose edge is 2 meters long. I believe that the answer would be (2x2)6 = 24 He thinks it is (2x1)8 = 16 m He thinks that a cube has 8 edges so it would be x 8. I think it would be times 6 but can not remember why ------------ A cube has 8 vertices and 8 edges, but only 6 faces. The surface area is 6 times the area of one of the faces, = 6*2^2 = 24 sq meters. ---------- If you paint it, the amount of paint needed is determined by the area of the faces, not the # of edges.

Linear-systems/268175: Find equations in standard form of the lines through point P that are A.) parallel to, and B.) perpendicular to, line L. P(0,3); L: x+y=5 Please help me. My teacher in school does not teach us, he tells us to read it and do it on our own and it seems simple but I'm not sure what to do. 1 solutions Answer 196606 by Alan3354(30993)   on 2010-02-10 17:05:35 (Show Source): You can put this solution on YOUR website! I can work this problem. My being able to work it won't help you, tho. You have to learn how to work these. Do it like this one: ----------------------- Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel have the same slope. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note or at moralloophole@aol.com

Divisibility_and_Prime_Numbers/268159: 343 is divisible by what number, without there being any remainders? 1 solutions Answer 196602 by Alan3354(30993)   on 2010-02-10 17:02:10 (Show Source): You can put this solution on YOUR website! 343 = 7^3 = 7*7*7

Rectangles/268166: find the area of a rectangle with a length of 12 meters and a width of 3.4 meters. 1 solutions Answer 196598 by Alan3354(30993)   on 2010-02-10 16:55:45 (Show Source): You can put this solution on YOUR website! Area = Length * Width Take it from there.

Number-Line/268170: I Have a draw a number line with the fractions 1 4/7, 5/7, and 10/7 labled in the correct loction where would these fractions go? I also have to lable the above fractions from least to greatest, how would that look? 1 solutions Answer 196596 by Alan3354(30993)   on 2010-02-10 16:45:21 (Show Source): You can put this solution on YOUR website! Draw the number line in 7ths, then plot the points. 1 4/7 = 11/7, so all you need is from zero to 2 labeled 0 to 14 7ths.

Percentage-and-ratio-word-problems/268099: Perimeter or circumference = 2 3.14, r = 70 feet; P=2x 22x70; P =440 feet. - 7 WHERE I HAVE THE 22 THEN YOU SEE A LINE UNDERNEATH IT & THEN THE 7..IT'S A FRACTION. MY SON IS STUDYING THE ASVAB FOR THE AIR FORCE & HE DOESN'T UNDERSTAND THIS RATIO. CAN YOU BREAK IT DOWN SO HE CAN UNDERSTAND? THANK YOU! 1 solutions Answer 196578 by Alan3354(30993)   on 2010-02-10 14:38:07 (Show Source): You can put this solution on YOUR website! For a circle with a radius of 70 feet, the circumference is 3.14 is sometimes use as the value for pi, and it's approximately 22/7. -------- Using a calculator: C = 2*pi*70 =~ 439.82 feet ------------- Using 22/7: C = 2*(22/7)*70 = 440 feet ----------------- Using 3.14: C = 2*3.14*70 = 439.6 feet 440 feet is close enough for most things. It's an error of ~ 0.04%

Numbers_Word_Problems/268098: Select any prime number greater than 3. Square it and subtract 1. What is the largest number that must be a divisor of the result? 1 solutions Answer 196574 by Alan3354(30993)   on 2010-02-10 14:17:03 (Show Source): You can put this solution on YOUR website! Select any prime number greater than 3. Square it and subtract 1. What is the largest number that must be a divisor of the result? ----------- n = prime number --> n^2 - 1 = (n+1)*(n-1) n+1 is a factor. Maybe that's what the question is ??

Travel_Word_Problems/268067: Two cars leave an intersection. One car travels east; the other north. when the car traveling east had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading north. How far had the northbound car traveled? Thank you for your help. I am stumped on how to set up this problem for solving. Thank you, Nora 1 solutions Answer 196571 by Alan3354(30993)   on 2010-02-10 14:08:27 (Show Source): You can put this solution on YOUR website! Two cars leave an intersection. One car travels east; the other north. when the car traveling east had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading north. How far had the northbound car traveled? ------------------- The distance between the cars is the hypotenuse of the right triangle formed by the 2 distances from the intersection. E = 15 (eastbound car) d^2 = E^2 + N^2 d = N + 5 (N+5)^2 = 15^2 + N^2 N^2 + 10N + 25 = 225 + N^2 10N = 200 N = 20 miles

Travel_Word_Problems/268082: In 2005 a planet was found revolving about a distant sunlike star in 4.55days. The radius of it's orbit is 2,500,000 mi. What is it's linear velocity (in mi/hr) about it's star? Round to the nearest thousandth as needed. I am stuck on this please help me? Thank you! 1 solutions Answer 196570 by Alan3354(30993)   on 2010-02-10 14:03:34 (Show Source): You can put this solution on YOUR website! 4.55 days = 109.2 hours ---------- Orbit = 2500000*2*pi =~ 15707963 miles 15707963 miles/109.2 hours =~ 143,845.818 mi/hr ------------------ The Earth's orbital speed is ~ 67,000 mph ---------------- PS it's = it is Use its for possessive

Numeric_Fractions/268075: how do i solve this equation x2+2x+5=0 and express them in the form a +bi 1 solutions Answer 196557 by Alan3354(30993)   on 2010-02-10 13:20:01 (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 : . The discriminant -16 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 -16 is + or - . The solution is , or Here's your graph: ------------ x = -1 ± 2i

Triangles/268040: what is the value of side c in a traingle for a=3,b=5 and angle c=60 ? 1 solutions Answer 196535 by Alan3354(30993)   on 2010-02-10 11:36:04 (Show Source): You can put this solution on YOUR website! Use the Cosine Law:

Graphs/268039: I need to find the slope and y-intercept of 1 solutions Answer 196534 by Alan3354(30993)   on 2010-02-10 11:33:48 (Show Source): You can put this solution on YOUR website! Solve for y ---- y = (1/2)x - 5/2 slope, m = 1/2 y-intercept b = -5/2

Mixture_Word_Problems/266907: Find the average rate of change for the function between the given values. f(x) = 3/x+2; from 1 to 4 1 solutions Answer 196530 by Alan3354(30993)   on 2010-02-10 11:15:45 (Show Source): You can put this solution on YOUR website! Find the average rate of change for the function between the given values. f(x) = 3/x+2; from 1 to 4 -------------- f(1) = 1 f(4) = 1/2 -------------- --> (-1/2)/3 = -1/6

Numbers_Word_Problems/267963: what are two consecutive intergers whose sum is 79 1 solutions Answer 196527 by Alan3354(30993)   on 2010-02-10 11:10:43 (Show Source): You can put this solution on YOUR website! 79/2 = 39.5 which is between the 2 integers. --> 39 and 40

Angles/268034: Dear Sir/Madam, Please can you tell me how to work out a supplementary angle Thank you, Brittany 1 solutions Answer 196526 by Alan3354(30993)   on 2010-02-10 11:09:02 (Show Source): You can put this solution on YOUR website! The supplement of an angle is 180 degs minus the angle. Supplementary angles total 180 degrees. That's all. ------------- If angle A is 73 degs, its supplement is 107 degs (180 - 73)

Expressions-with-variables/268003: 8x+4y=12;y 1 solutions Answer 196522 by Alan3354(30993)   on 2010-02-10 10:24:37 (Show Source): You can put this solution on YOUR website! Do you have a question?