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Alan3354 answered: 30973 problems
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Trigonometry-basics/550771: Find all the angles between 0° and 90° which satisfy the equation sec˛Θcosec˛Θ + 2cosec˛Θ = 8 1 solutions Answer 359072 by Alan3354(30993)   on 2011-12-28 22:14:59 (Show Source): You can put this solution on YOUR website! Find all the angles between 0° and 90° which satisfy the equation Multiply by sin^2*cos^2 1 + 2cos^2 = 8sin^2cos^2 = 8cos^2*(1 - cos^2) 1 + 2cos^2 = 8cos^2 - 8cos^4 8cos^4 - 6cos^2 + 1 = 0 Sub x = cos^2 8x^2 - 6x + 1 = 0 (2x - 1)*(4x - 1) = 0 x = 1/2, x = 1/4 --------- cos^2(t) = 1/4 cos^2(t) = 1/2 Can you finish it?

Polynomials-and-rational-expressions/550770: Hello, I would really appreciate if someone would go over these questions and see if the answers are correct or incorrect. Thank you so much!!! Multiplying and Dividing Radicals," 4. (-7√3)(-4√(10) = 28√30 6. (-5√6)(2√3) = 6√3 20.( √5+4)( √5-1) =1+ 3√5 38. √(16)/(36) = 1/9 46. 5/√7 = 5√7/7 56. y/√7+√3 = y (√7-√3)/4 1 solutions Answer 359071 by Alan3354(30993)   on 2011-12-28 22:05:40 (Show Source): You can put this solution on YOUR website! Multiplying and Dividing Radicals," 4. (-7√3)(-4√(10) = 28√30 That's correct. ---------------- 6. (-5√6)(2√3) = 6√3 = -------------- 20.( √5+4)( √5-1) =1+ 3√5 That's correct. ----------- 38. √(16)/(36) = 1/9 If it's it's correct. - - - - If it's = 4/6 = 2/3 --------- 46. 5/√7 = 5√7/7 Correct. --------- 56. y/√7+√3 = y (√7-√3)/4 Correct.

test/550751: Would someone please take the time out to review the answers I have come up with to these problems and tell me if they are correct or in correct. Thanks!! Rational Exponents 2. (3Xy^-2)/(x^3)^2 = 9/x^4y^4 4.(-a^2b)/(2b^-1)^3 = -a^6b^6/8 6. (4X)/(y3)^-3 = y9/64x^3 34. 16 ^3/4 = 8 46. 11^(1/3).11^3= 1 solutions Answer 359059 by Alan3354(30993)   on 2011-12-28 20:46:55 (Show Source): You can put this solution on YOUR website! Would someone please take the time out to review the answers I have come up with to these problems and tell me if they are correct or in correct. Thanks!! Rational Exponents 2. (3Xy^-2)/(x^3)^2 = 9/x^4y^4 The numerator is not clear. Is it ? 4.(-a^2b)/(2b^-1)^3 = -a^6b^6/8 = = ----------------- 6. (4X)/(y3)^-3 = y9/64x^3 = = --------------- 34. 16 ^3/4 = 8 That's correct. -------------- 46. 11^(1/3).11^3= If the dot means multiply, = or, = = ------------ Use the asterisk for multiply.

Rate-of-work-word-problems/550734: I've looked for similar examples and haven't been able to transpose the rate of work formulas to figure this one out: If 5 ppl can produce 64 surfboards in 4 days, how many surfboards can 8 ppl produce in 10 days? 1 solutions Answer 359026 by Alan3354(30993)   on 2011-12-28 18:31:49 (Show Source): You can put this solution on YOUR website! If 5 ppl can produce 64 surfboards in 4 days, how many surfboards can 8 ppl produce in 10 days? ----------------- 5 ppl * 4 days = 20 ppl-days to make 64 boards --> 3.2 boards/ppl-day --- 8 ppl * 10 days = 80 ppl-days 80*3.2 = 256 boards

Surface-area/550685: How many gallons of water will i need for a pond to ith these measurments 3ft 37 inches 4ft 54inches n 1ft 16 1 solutions Answer 359025 by Alan3354(30993)   on 2011-12-28 18:06:38 (Show Source): You can put this solution on YOUR website! duplicate.

Geometry_Word_Problems/550720: Please help me with this question: A certain windshield wiper is 10 inches long and it is attached at the outside end( opposite the center of rotation). If the windshield wiper sweeps through a 180 degree angle, what is the area cleaned by the rubber blade? State your answer in terms of pi. 1 solutions Answer 359024 by Alan3354(30993)   on 2011-12-28 18:06:03 (Show Source): You can put this solution on YOUR website! A certain windshield wiper is 10 inches long and it is attached at the outside end( opposite the center of rotation). If the windshield wiper sweeps through a 180 degree angle, what is the area cleaned by the rubber blade? State your answer in terms of pi. ------------ Not clear what you mean about the "outside end" ------------- Area of a circle = r = 10 inches 1/2 the circle = 100pi/2 = 50*pi sq inches

Word_Problems_With_Coins/550726: Jocelyn has $0.75 in her pocket made up of 27 nickel and dimes. How many of each type of coin does she have? 1 solutions Answer 359023 by Alan3354(30993)   on 2011-12-28 18:01:35 (Show Source): You can put this solution on YOUR website! Jocelyn has $0.75 in her pocket made up of 27 nickel and dimes. How many of each type of coin does she have? ------------- Not possible. 27 nickels = $1.35

Surface-area/550686: How many gallons of water will i need for a pond to ith these measurments 3ft 37 inches 4ft 54inches n 1ft 16 1 solutions Answer 359021 by Alan3354(30993)   on 2011-12-28 18:00:07 (Show Source): You can put this solution on YOUR website! How many gallons of water will i need for a pond to ith these measurments 3ft 37 inches 4ft 54inches n 1ft 16 ----------- --> 73 * 102 * 28 cubic inches = 208488 cu in --------- 1 gallon = 232 cu in 208488/232 =~ 899 gallons

Rational-functions/550683: 1) graph x^2/4-y^2/9=1 2) graph x^2/36-y^2/4=1 1 solutions Answer 359020 by Alan3354(30993)   on 2011-12-28 17:58:01 (Show Source): You can put this solution on YOUR website! dl the FREE graph software at http://www.padowan.dk -------- Use F6, then enter the eqns as they are.

Numbers_Word_Problems/550722: Could you please help me with this question?: The average (arithmetic mean) of ten positive numbers is 16. The average of the least and the greatest of these numbers is 19. What is the average of the other eight numbers? 1 solutions Answer 359019 by Alan3354(30993)   on 2011-12-28 17:56:10 (Show Source): You can put this solution on YOUR website! The average (arithmetic mean) of ten positive numbers is 16. The average of the least and the greatest of these numbers is 19. What is the average of the other eight numbers? -------------- 10*16 = 160 (10 times the avg of 10) 2*19 = 38 (2 times the avg of 2) ---- 160 - 38 = 122 (8 times the average of the remaining 8) 122/8 = 15.25 Avg of 8 = 15.25

Coordinate-system/550719: The sum of the interior angle measures of a convex polygon is 1260 degrees . How many sides does it have? 1 solutions Answer 359018 by Alan3354(30993)   on 2011-12-28 17:51:03 (Show Source): You can put this solution on YOUR website! The sum of the interior angle measures of a convex polygon is 1260 degrees . How many sides does it have? ---------- 1260/180 = 7 7 + 2 = 9 sides

Trigonometry-basics/550707: If A IS (2,2) B is (5,2) then what is C 1 solutions Answer 359010 by Alan3354(30993)   on 2011-12-28 16:33:39 (Show Source): You can put this solution on YOUR website! If A IS (2,2) B is (5,2) then what is C ------------ No way to know.

test/550677: I have a few problems with a worksheet I am doing, that do not understand can you please help me? -- #1# Find the LCD of the fractions in the equation 4.5x / 2x+5 = 2x / x^2 I keep getting the answer (2x+5)(x) But it does not seem correct to me. ---- #2# Solve each equation if no real answer then select no real answer. x / x-5 = -2x/x I keep getting x=10 in every way I try to solve the problem and it is not listed as one of the possible answers, I marked no real solution. ----- #3# For this problem I do not understand on how to attempt it. Find the focal length of the magnifying glass if you can see the butterfly clearly when your eye is 5.5 cm away from the glass and the glass is 25 cm away from the butterfly. The formula is 1/s + 1/t = 1/f. I do not understand on how to do it. ---- #4# Simplify the rational equations. x+5 / 3x+15 I think it is in the simplist form already but I know you can divide the 5 into the 15 but can't divide the 3x into 3 . x+5/4 divided by (x^2+5x) I got 1/4x but i do not think it is correct. --- #5# Solve the rational equation x^3 / 16 = x^6 / 2 I keep getting an answer that is not listed as a possible answer. ---- I am using the symbol "/" as the fraction symbol not the division symbol. And thank you for your help. 1 solutions Answer 358988 by Alan3354(30993)   on 2011-12-28 14:59:58 (Show Source): You can put this solution on YOUR website! Find the LCD of the fractions in the equation 4.5x / 2x+5 = 2x / x^2 I keep getting the answer (2x+5)(x) But it does not seem correct to me. On the RHS, 2x/x^2 = 2/x The LCD is x(2x+5) ---- Solve each equation if no real answer then select no real answer. x / x-5 = -2x/x x = 0 ----------- 3x = 10 x = 10/3 --------------- I keep getting x=10 in every way I try to solve the problem and it is not listed as one of the possible answers, I marked no real solution. ----- For this problem I do not understand on how to attempt it. Find the focal length of the magnifying glass if you can see the butterfly clearly when your eye is 5.5 cm away from the glass and the glass is 25 cm away from the butterfly. The formula is 1/s + 1/t = 1/f. I do not understand on how to do it. What are s, t & f? ---- Simplify the rational equations. x+5 / 3x+15 = = 1/3 -------------------- I think it is in the simplist form already but I know you can divide the 5 into the 15 but can't divide the 3x into 3 . x+5/4 divided by (x^2+5x) I got 1/4x but i do not think it is correct. --- Solve the rational equation x^3 / 16 = x^6 / 2 Multiply by 16 x = 0 (multiplicity 3) --------- x = 1/2 --------------- 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 -12 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 -12 is + or - . The solution is , or Here's your graph: ------------- It's 6th order --> 6 solutions: 0,0,0,1/2, and the 2 complex numbers. ----------------------------------- I keep getting an answer that is not listed as a possible answer.

Systems-of-equations/550672: What is the solution to the following system: 3x – 2y + 2z = 30 –x + 3y – 4z = -33 2x – 4y + 3z = 42 1 solutions Answer 358986 by Alan3354(30993)   on 2011-12-28 14:36:39 (Show Source): You can put this solution on YOUR website! What is the solution to the following system: 3x – 2y + 2z = 30 –x + 3y – 4z = -33 2x – 4y + 3z = 42 ------------------------- Det = -15.0000 X*Det = -60.0000 x = 4.0000 Y*Det = 105.0000 y = -7.0000 Z*Det = -30.0000 z = 2.0000

Average/550619: translate the following phrase an algebraic expression the difference of fifteen and twice a number 1 solutions Answer 358958 by Alan3354(30993)   on 2011-12-28 12:50:50 (Show Source): You can put this solution on YOUR website! translate the following phrase an algebraic expression the difference of fifteen and twice a number ---------------- = 2n - 15, or 15 - 2n ---------- = |2n - 15| the absolute value of (2n-15)

Geometric_formulas/550602: a line passes through the points (5, -8) and (6, 2). what is the slope? 1 solutions Answer 358957 by Alan3354(30993)   on 2011-12-28 12:45:24 (Show Source): You can put this solution on YOUR website! a line passes through the points (5, -8) and (6, 2). what is the slope? ------ Slope, m = (change in y)/(change in x)

Graphs/550650: 100-100/100-100=2? 1 solutions Answer 358955 by Alan3354(30993)   on 2011-12-28 12:41:28 (Show Source): You can put this solution on YOUR website! 100-100/100-100=2? -------- I don't think so.

Length-and-distance/550652: THE DISTANCE BETWEEN A AND B IS 20^1/2, THE CO-ORDINATES OF A IS GIVEN (7,2) FIND CO ORDINATES OF B. 1 solutions Answer 358954 by Alan3354(30993)   on 2011-12-28 12:38:56 (Show Source): You can put this solution on YOUR website! THE DISTANCE BETWEEN A AND B IS 20^1/2, THE CO-ORDINATES OF A IS GIVEN (7,2) FIND CO ORDINATES OF B. ---------------- B can be any point on a circle with its center at A and a radius of sqrt(20). ---- is the circle.

Expressions-with-variables/550655: okay well im studying math in spanish and i wanted to know you you could help me with algebra problems that include three equations with three variables using the elimination method 1 solutions Answer 358953 by Alan3354(30993)   on 2011-12-28 12:33:02 (Show Source): You can put this solution on YOUR website! Equations are the same in English or Spanish.

Money_Word_Problems/550641: what would my hourly pay be if I currently make $16.88 an hour and will be receiving a 3 % pay raise 1 solutions Answer 358929 by Alan3354(30993)   on 2011-12-28 11:10:26 (Show Source): You can put this solution on YOUR website! = $16.88*1.03

test/550639: How to solve roots 1 solutions Answer 358928 by Alan3354(30993)   on 2011-12-28 11:09:29 (Show Source): You can put this solution on YOUR website! Roots are not solved. Roots are the answers when an equation is solved. A root = a solution = a zero of an equation. ---------- eg, (x-1)*(x+2) = 0 has roots of -2 and +1.

Exponents/550638: I need to factor 8x^3 - 37x^2 + 20x I have no clue how to do thgis, and my teacher says that since there is an exponent raised to the third power that I need three different answers. Thanks in advance 1 solutions Answer 358927 by Alan3354(30993)   on 2011-12-28 11:02:14 (Show Source): You can put this solution on YOUR website! factor 8x^3 - 37x^2 + 20x --------- = = x*(8x - 5)*(x - 4) There's only one answer to factoring. ------- If you meant Then x = 0, x = 4, x = 5 ----------- You have to say what you want to do.

Numeric_Fractions/550637: I need to solve this equation 3/x+3 - 8/x = 4/2(x+3) + 5/4x 3/x+3 is a fraction as well as all the others are, i was just unsure how to write them as fractions on here. 1 solutions Answer 358924 by Alan3354(30993)   on 2011-12-28 10:50:03 (Show Source): You can put this solution on YOUR website! 3/x+3 - 8/x = 4/2(x+3) + 5/4x ------- Is it (5/4)x ? or 5/(4x) ? ------- Put the expressions in 3 braces, 3 { and 3 } Then you get: The 1st term needs parentheses for its denominator.

Exponents/550635: 8x^3 - 37x^2 + 20x I have no clue how to do thgis, and my teacher says that since there is an exponent raised to the third power that I need three different answers. Thanks in advance 1 solutions Answer 358923 by Alan3354(30993)   on 2011-12-28 10:45:07 (Show Source): You can put this solution on YOUR website! 8x^3 - 37x^2 + 20x I have no clue how to do thgis, and my teacher says that since there is an exponent raised to the third power that I need three different answers. ----------- Answers to what? What are you trying to do?

logarithm/550633: Write in logarithmic form. 6 to the third power = 216 1 solutions Answer 358922 by Alan3354(30993)   on 2011-12-28 10:44:13 (Show Source): You can put this solution on YOUR website! 3 is the exponent, which is the log 6 is raised to a power, so 6 is the base.

logarithm/550636: Convert to an exponential equation log9 1/81 = -2 1 solutions Answer 358920 by Alan3354(30993)   on 2011-12-28 10:43:05 (Show Source): You can put this solution on YOUR website! Hint: -2 is the exponent.

Trigonometry-basics/550634: I have to multiply (3+ 2i)(2-5i)7i how do I do this? I have no clue where or how to begin. thanks in advance! 1 solutions Answer 358919 by Alan3354(30993)   on 2011-12-28 10:42:32 (Show Source): You can put this solution on YOUR website! multiply (3+ 2i)(2-5i)7i --------- Do the binomials: (3+ 2i)(2-5i) Do it the same as any binomial multiply. (3+ 2i)(2-5i) = 3*(2-5i) + 2i*(2-5i) = 6-15i + 4i-10i^2 i^2 = -1 = 6-15i + 4i+10 = 16 - 11i --------- Multiply by 7i 7i*(16 - 11i) = 112i - 77i^2 i^2 is still = -1 = 112i + 77 = 77 + 112i

Polynomials-and-rational-expressions/550616: divide & check 24x^8-24x^6+40x/8x 1 solutions Answer 358917 by Alan3354(30993)   on 2011-12-28 10:38:21 (Show Source): You can put this solution on YOUR website! Divide each term by 8x. Then check.

logarithm/550632: log9 1/81 = -2 1 solutions Answer 358916 by Alan3354(30993)   on 2011-12-28 10:37:25 (Show Source): You can put this solution on YOUR website! That's correct.

Average/550622: find the prime factorization of 702 please show all of your work. 1 solutions Answer 358915 by Alan3354(30993)   on 2011-12-28 10:36:31 (Show Source): You can put this solution on YOUR website! find the prime factorization of 702 please show all of your work. ------- It's an even number, so divide by 2. If the result is an odd number, then try 3. Divide by 3's until the result is not an integer, then try 5, 7 , 11, 13, etc.

logarithm/550631: Convert to an exponential equation. log7 343 = 3 1 solutions Answer 358914 by Alan3354(30993)   on 2011-12-28 10:34:56 (Show Source): You can put this solution on YOUR website! The log is the exponent. ------ Which of the numbers is the other to the 3rd power?