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Alan3354 answered: 30973 problems
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Numeric_Fractions/651166: The answer key says the answer is -1/3, but I'm not getting that. Can you please solve this equation and show me the steps? -5+sqrt5^2-4(-3)(2)this is the numerator 2(-3) this is the denominator -5+sqrt5^2-4(-3)(2)/2(-3)= 1 solutions Answer 407568 by Alan3354(30993)   on 2012-09-13 21:04:32 (Show Source): You can put this solution on YOUR website! -5+sqrt5^2-4(-3)(2)this is the numerator 2(-3) this is the denominator ------------ = = 2/-6 = -1/3 ------------- Add some parentheses, try again.

Rational-functions/651170: Please help me solve this equation: 1 solutions Answer 407565 by Alan3354(30993)   on 2012-09-13 21:00:50 (Show Source): You can put this solution on YOUR website! Please help me solve this equation: ------- There's no equal sign --> not an equation. And, solve for what? f? t? g? You have to specify, and it has to be an equation.

Expressions-with-variables/651109: I am not quite sure on how to do this question, I got 3b+4. But I am not sure if it is correct... The problem is b-4 over 6 = b over 2. B-4. B ___ =. ___ 6. 2 1 solutions Answer 407562 by Alan3354(30993)   on 2012-09-13 20:53:54 (Show Source): You can put this solution on YOUR website! I am not quite sure on how to do this question, I got 3b+4. But I am not sure if it is correct... The problem is b-4 over 6 = b over 2. ------------ Cross multiply 2(b-4) = 6b 2b-8 = 6b -8 = 4b b = -2

Equations/651142: How do I solve for x in the equation 6x-2/4x+3? 1 solutions Answer 407561 by Alan3354(30993)   on 2012-09-13 20:51:37 (Show Source): You can put this solution on YOUR website! How do I solve for x in the equation 6x-2/4x+3? ---------- That's not an equation. Equations have equal signs.

Polynomials-and-rational-expressions/651044: What is (1/11) squared? 1 solutions Answer 407542 by Alan3354(30993)   on 2012-09-13 18:29:27 (Show Source): You can put this solution on YOUR website! What is (1/11) squared? =

�t�e�s�t/651035: I have 23 questions, and i really dont understand them. answers please? :3 #1. the second of two numbers is 6 times the first. their sum is 77. find the numbers. 1 solutions Answer 407539 by Alan3354(30993)   on 2012-09-13 18:22:09 (Show Source): You can put this solution on YOUR website! the second of two numbers is 6 times the first. their sum is 77. find the numbers. --------------- second = 6*first ----------- see that? second + first = 77 ----- Then 6*first + first = 77 --------------- sub 6*first for second 7*first = 77 first = 11 ======= second = 66 Make sense?

Matrices-and-determiminant/651020: how would i solve these systems -x+y+z=4 -x+2y-3z=-6 2x-4y+8z=18 1 solutions Answer 407536 by Alan3354(30993)   on 2012-09-13 18:18:50 (Show Source): You can put this solution on YOUR website! how would i solve these systems -x+y+z=4 -x+2y-3z=-6 2x-4y+8z=18 ================= I would use determinants.

Matrices-and-determiminant/651018: how do i determine whether (1,-5,10) is a solution of the following system. x+y+z=6 3x-y-z=-2 2x-y+4z=37 1 solutions Answer 407534 by Alan3354(30993)   on 2012-09-13 18:03:39 (Show Source): You can put this solution on YOUR website! how do i determine whether (1,-5,10) is a solution of the following system. x+y+z=6 3x-y-z=-2 2x-y+4z=37 -------------- You sub 1 for x, -5 for y & 10 for z and see if it fits.

Rational-functions/650836: why the time interval change with relative speed 1 solutions Answer 407477 by Alan3354(30993)   on 2012-09-13 14:33:12 (Show Source): You can put this solution on YOUR website! why the time interval change with relative speed --------------- Why not?

Rectangles/650881: If the base of a rectangle is increased by 10% and the area is unchanged by what percentage is the width decresed by and what is the formula? 1 solutions Answer 407476 by Alan3354(30993)   on 2012-09-13 14:24:02 (Show Source): You can put this solution on YOUR website! If the base of a rectangle is increased by 10% and the area is unchanged by what percentage is the width decresed by and what is the formula? ----------------- Area = L*W x = the multiplier of the other dimension Area = (L*x)*(W*1.1) = L*W L*W*x*1.1 = L*W x*1.1 = 1 x = 1/1.1 = 0.909090... % change = 100*(1 - x) = 9.0909...% ================= There isn't always "a formula"

Average/650852: How do I find the average of the list of numbers? 3/4, 5/12, and 17/39 (simplified) 1 solutions Answer 407457 by Alan3354(30993)   on 2012-09-13 13:49:43 (Show Source): You can put this solution on YOUR website! How do I find the average of the list of numbers? 3/4, 5/12, and 17/39 (simplified) ----------------- Add them, divide by the number of elements. = (3/4 + 5/12 + 17/39)/3

Miscellaneous_Word_Problems/650813: If the radius of a sphere is increasing at the constant rate of 3 millimeters per second, how fast is the volume changing when the surface area 4πr2 is 10 square millimeters? 1 solutions Answer 407426 by Alan3354(30993)   on 2012-09-13 11:31:25 (Show Source): You can put this solution on YOUR website! If the radius of a sphere is increasing at the constant rate of 3 millimeters per second, how fast is the volume changing when the surface area 4πr2 is 10 square millimeters? ---------------------- Do you have any idea how to do these? How will it help if someone does them for you? I did the one with the cone. This one is simpler.

Linear-equations/650799: (3, -12) and (5, 6) 1 solutions Answer 407415 by Alan3354(30993)   on 2012-09-13 11:10:04 (Show Source): You can put this solution on YOUR website! (3, -12) and (5, 6) ---------------- What about them? PS Don't put a space after the comma. (3,-12) and (5,6)

Linear_Equations_And_Systems_Word_Problems/650797: Water is pouring into an inverted cone at the rate of 3.14 cubic meters per minute. The height of the cone is 10 meters, and the radius of its base is 5 meters. How fast is the water level rising when the water stands 7.5 meters above the base? 1 solutions Answer 407411 by Alan3354(30993)   on 2012-09-13 10:58:14 (Show Source): You can put this solution on YOUR website! Water is pouring into an inverted cone at the rate of 3.14 cubic meters per minute. The height of the cone is 10 meters, and the radius of its base is 5 meters. How fast is the water level rising when the water stands 7.5 meters above the base? --------------- "when the water stands 7.5 meters above the base" implies the point is at the top, not inverted. r = h/2 if h is measured from the point of the cone. ------------- r = h/2 = 3.14 m^3/min Using the 3.14 for pi dh/dt = 4/(3h^2) m/min dh/dt = 4/(3*56.25) = 0.0237 meter/minute

Rational-functions/650671: simplify by removing factors from the radicand square root 108x^4y^9 1 solutions Answer 407390 by Alan3354(30993)   on 2012-09-13 08:30:08 (Show Source): You can put this solution on YOUR website! simplify by removing factors from the radicand square root 108x^4y^9 ------------ = =

Triangles/650553: A right, isosceles triangle has hypotenuse length 50 cm. How long are the two legs? 1 solutions Answer 407366 by Alan3354(30993)   on 2012-09-13 00:03:51 (Show Source): You can put this solution on YOUR website! A right, isosceles triangle has hypotenuse length 50 cm. How long are the two legs? --------

Polynomials-and-rational-expressions/650630: simplyfying rational algebraic expressions of -14abc/12ac 1 solutions Answer 407364 by Alan3354(30993)   on 2012-09-13 00:00:51 (Show Source): You can put this solution on YOUR website! simplyfying rational algebraic expressions of -14abc/12ac -------- = -7b/6

Quadratic-relations-and-conic-sections/650667: please help me solve this problem i am totally confused: instructions are find the slopes of lines with a y-intercept of 1 tangent to the circle (x-3)^2 + y^2=4 1 solutions Answer 407363 by Alan3354(30993)   on 2012-09-12 23:57:22 (Show Source): You can put this solution on YOUR website! instructions are find the slopes of lines with a y-intercept of 1 tangent to the circle (x-3)^2 + y^2=4 ------------- The radius of the circle is 2. The center of the circle is (3,0). The distance from the y-int @ (0,1) to the center of the circle = sqrt(10). The tangent lines from a right angles at each tangent point --> 2 right triangles with hypotenuse = sqrt(10) and a side = 2. --> the distance from (0,1) to the tangent points = sqrt(6). -------- The tangent points are the intersection of the given circle and a 2nd circle centered at (0,1) with radius = sqrt(6). ================= The angle between the y-axis and the line from (3,0) to (0,1) = acot(1/3) =~ 71.565 degs. The angle of the right triangle at (0,1) = arcsin(2/sqrt(10)) =~ 39.232 degs The upper tangent line makes and angle with y-axis of the sum = 110.797 degs The angle with the x-axis = 110.797 - 90 = 20.797 degs The slope of the line = tan(20.797) = 0.38 ---------------------------- The calculations of the 2nd tangent line are similar. ------- If you email via the Thank You note I can send a graph with makes it clearer.

Linear-equations/650545: in the coordinate plane - in quadrant II, x is ? and y is? 1 solutions Answer 407349 by Alan3354(30993)   on 2012-09-12 21:27:03 (Show Source): You can put this solution on YOUR website! in the coordinate plane - in quadrant II, x is ? and y is? ------------ Take a look. Hint: x is negative.

Linear-equations/650549: Write the slope-intercept form of the line that goes through (-5,-1) and is parallel to x=0 1 solutions Answer 407348 by Alan3354(30993)   on 2012-09-12 21:25:31 (Show Source): You can put this solution on YOUR website! Write the slope-intercept form of the line that goes through (-5,-1) and is parallel to x=0 ------------- x = 0 is the y-axis Parallel to x = 0 is parallel to the y-axis. --> the x value is constant --> x = -5 The slope-intercept form is not possible, as there is no y-intercept.

Expressions-with-variables/650585: What is 6y^-3= 1 solutions Answer 407347 by Alan3354(30993)   on 2012-09-12 21:22:22 (Show Source): You can put this solution on YOUR website! What is 6y^-3= ------------- It's a monomial in y.

Mixture_Word_Problems/650593: Liquid oxygen weighs about 9.5 lbs per gallon. About how many ounces per gallon is the weight of liquid oxygen. Please and thank you. 1 solutions Answer 407346 by Alan3354(30993)   on 2012-09-12 21:20:44 (Show Source): You can put this solution on YOUR website! Liquid oxygen weighs about 9.5 lbs per gallon. About how many ounces per gallon is the weight of liquid oxygen. ---------- 1 pound = 16 ounces

test/650494: b+5 1 solutions Answer 407334 by Alan3354(30993)   on 2012-09-12 20:26:18 (Show Source): You can put this solution on YOUR website! b+5 ======= What about it?

Mixture_Word_Problems/650538: Solution A is 30% alcohol and solution B is 60% alcohol. How much of each is needed to make 80 liters of a solution that is 45% alcohol? 1 solutions Answer 407333 by Alan3354(30993)   on 2012-09-12 20:24:09 (Show Source): You can put this solution on YOUR website! Solution A is 30% alcohol and solution B is 60% alcohol. How much of each is needed to make 80 liters of a solution that is 45% alcohol? ---------------- 45 is the average of 30 & 60, so it's equal parts.

Trigonometry-basics/650528: please help me graph y=1/4tanx 1 solutions Answer 407332 by Alan3354(30993)   on 2012-09-12 20:23:22 (Show Source): You can put this solution on YOUR website! y=1/4tanx ------------ Pick values for x and find y. Plot the points. Draw a curve thru them.

Square-cubic-other-roots/650529: How do you solve 2 root 5 - 5 root 2? 1 solutions Answer 407331 by Alan3354(30993)   on 2012-09-12 20:21:49 (Show Source): You can put this solution on YOUR website! How do you solve 2 root 5 - 5 root 2? ----------- Solve for what?

test/650534: Can you help me solve for n M+2n=p 1 solutions Answer 407330 by Alan3354(30993)   on 2012-09-12 20:21:08 (Show Source): You can put this solution on YOUR website! Can you help me solve for n M+2n=p =========== 2n = p - M n = (p - M)/2 ---------------- Any reason you couldn't do that?

Trigonometry-basics/650485: factoring trinomials 1 solutions Answer 407324 by Alan3354(30993)   on 2012-09-12 19:46:22 (Show Source): You can put this solution on YOUR website! factoring trinomials ------- That's a popular avocation.

Equations/650489: Please help my son solve this aalgebra problem 19 = 4(k+1) - k 1 solutions Answer 407323 by Alan3354(30993)   on 2012-09-12 19:43:41 (Show Source): You can put this solution on YOUR website! 19 = 4(k+1) - k 19 = 4k+4 - k 19 = 3k+4 15 = 3k k = 5

Trigonometry-basics/650466: If the minute hand of a clock has a length of 5 cm, then how far does the tip of the minute hand move in 20 minutes? 1 solutions Answer 407316 by Alan3354(30993)   on 2012-09-12 19:15:02 (Show Source): You can put this solution on YOUR website! If the minute hand of a clock has a length of 5 cm, then how far does the tip of the minute hand move in 20 minutes? ------------- It makes 1/3 of a revolution = 2pi/3 radians d = angle*r = (2pi/3)*5 = 10pi/3 cm

Quadratic_Equations/650422: X2+13x+36 1 solutions Answer 407311 by Alan3354(30993)   on 2012-09-12 18:35:12 (Show Source): You can put this solution on YOUR website! X2+13x+36 ========= What about it? Do you have a question?