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Alan3354 answered: 30973 problems
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logarithm/476627: logb(1)= log4(1)= x^2=5 11x^2=-144 -sqaureroot -98 1 solutions Answer 326811 by Alan3354(30993)   on 2011-08-01 10:17:57 (Show Source): You can put this solution on YOUR website! logb(1)= 0 log4(1)= 0 Log of 1 to any base = 0 ----------- x^2=5 x = ± sqrt(5) ------------ 11x^2=-144 x = ± 12i*sqrt(11)/11 ---------------- -sqaureroot -98 If you mean = ±7*sqrt(2)i -------------

Triangles/476624: if one side of a triangle is 7 ft. ant the other side is 10 ft. what would the bottom be? round to the nearest thousandths 1 solutions Answer 326809 by Alan3354(30993)   on 2011-08-01 10:09:05 (Show Source): You can put this solution on YOUR website! Insufficient data. To solve for missing elements of a triangle, you need at least 1 side and 2 other elements.

Exponential-and-logarithmic-functions/476622: how do you solve 3^2 3^2-2 and how do you solve 2^3-(-1)+4 1 solutions Answer 326807 by Alan3354(30993)   on 2011-08-01 10:04:26 (Show Source): You can put this solution on YOUR website! how do you solve 3^2 3^2-2 3^2 = 9, but it's not clear what you mean by that. Use parentheses. ------------------ and how do you solve 2^3-(-1)+4 = 8 + 1 + 4 = 13 ----------- There's no "solving" of these, only simplifictation. Equations are solved, and solved "for something", such as "solve for x", or some other variable.

Trigonometry-basics/476614: Find the solution of the equation for [0,2pi] 2(tan(theta))-(sec^2(theta))=0 Here is what I've done so far: 2tan(x) = sec^2(x)---> I set them equal because of some rule? and replaced theta w/x to make it easier for me to understand. 2(sin(x)/cos(x)) = 1/cos(x) 2 = 1/cos(x) * (cos(x)/sin(x)) 2(cos(x)*sin(x)) = 1 (cos(x)*sin(x)) = 1/2 x = ? 1 solutions Answer 326806 by Alan3354(30993)   on 2011-08-01 09:55:08 (Show Source): You can put this solution on YOUR website! Find the solution of the equation for [0,2pi] 2(tan(theta))-(sec^2(theta))=0 Here is what I've done so far: 2tan(x) = sec^2(x)---> I set them equal because of some rule? and replaced theta w/x to make it easier for me to understand. 2(sin(x)/cos(x)) = 1/cos(x) **** What happened to the square on the RHS? 2 = 1/cos(x) * (cos(x)/sin(x)) 2(cos(x)*sin(x)) = 1 (cos(x)*sin(x)) = 1/2 x = ? ------------- 2(tan(theta))-(sec^2(theta))=0 2sin(x)/cos(x) - 1/cos^2(x) = 0 Multiply by cos^2 2sin(x)cos(x) - 1 = 0 sin(2x) - 1 = 0 sin(2x) = 1 2x = pi/2, 5pi/2 x = pi/4, 5pi/4 ----------------------- You would have gotten it, but you lost the square of the RHS term. Then you have to recognize the double angle on the LHS, sin(2x) = 2sin(x)cos(x)

test/476617: Xdcfcfcffrrdrdee41ttyfcdxderreddedx1414fcresddddddddsrrddcczxxxtf5ted 1 solutions Answer 326804 by Alan3354(30993)   on 2011-08-01 09:48:17 (Show Source): You can put this solution on YOUR website! Very clever. That the best you can do?

Surface-area/476621: find the area of a circle that has a diameter of mi. use 22/7 for a pi. 1 solutions Answer 326803 by Alan3354(30993)   on 2011-08-01 09:47:11 (Show Source): You can put this solution on YOUR website! r = d/2

Volume/476618: find the volume of a cylinder ith a height of 6 m. and a radiu of 3 m. use 3.14 for pi. 1 solutions Answer 326802 by Alan3354(30993)   on 2011-08-01 09:45:54 (Show Source): You can put this solution on YOUR website!

Angles/476619: find the complete of a 32 degree angle 1 solutions Answer 326801 by Alan3354(30993)   on 2011-08-01 09:45:10 (Show Source): You can put this solution on YOUR website! complete? If you mean complement, it's 90 - 32 = 58 degs

Graphs/476317: Find the equation of the line that goes through the points (-4,1) and (-1,4) 1 solutions Answer 326616 by Alan3354(30993)   on 2011-07-31 14:13:06 (Show Source): You can put this solution on YOUR website! Find the equation of the line that goes through the points (-4,1) and (-1,4) Use determinants. ------------ |x +y 1| |-4 +1 1| = 0 |-1 +4 1| ---------- x(1-4) - y(-4+1) + -16+1 = 0 -3x + 3y = 15 x - y = -5

Problems-with-consecutive-odd-even-integers/476327: Find three consecutive even integers such that the product of the first and third is 32.. 1 solutions Answer 326604 by Alan3354(30993)   on 2011-07-31 13:15:38 (Show Source): You can put this solution on YOUR website! sqrt(32) = ~ 6, the middle --> 4, 6 & 8

Linear-equations/476331: I need help finding and labeling the vertex and the line of symmetry. f(x)=(x+3)^2 The vertex is an ordered pair. 1 solutions Answer 326602 by Alan3354(30993)   on 2011-07-31 13:10:16 (Show Source): You can put this solution on YOUR website! The LOS is x = -3 The vertex is (-3,0)

Inequalities/476310: -3c+4<-6 1 solutions Answer 326597 by Alan3354(30993)   on 2011-07-31 11:57:46 (Show Source): You can put this solution on YOUR website! -3c+4<-6 Subtract 4 -3c < -10 Divide by 3 -c < -10/3 Divide by -1 (changes polarity) c > 10/3 --------------- You can do it like this, if you have doubts about the polarity change -c < -10/3 Add c 0 < c - 10/3 Add 10/3 10/3 < c --> c > 10/3

Miscellaneous_Word_Problems/476306: Find the equation of the line containing the point(4,-2)and having the slope m=6. 1 solutions Answer 326593 by Alan3354(30993)   on 2011-07-31 11:36:41 (Show Source): You can put this solution on YOUR website! Find the equation of the line containing the point(4,-2)and having the slope m=6. --------- Find a 2nd point by adding 6 to y and 1 to x P(5,4) ---------- Use determinants. |x y 1| |4-2 1| = 0 |5 4 1| ---------- x(-2-4) - y(4-5) + (16+10) = 0 -6x + y = -26 6x - y = 26

Rectangles/476304: Evaluate the formula P = 2l + 2w when l = 4 in. and w = 4 in 1 solutions Answer 326592 by Alan3354(30993)   on 2011-07-31 11:32:39 (Show Source): You can put this solution on YOUR website! Sub 4 for L and 4 for W

Exponential-and-logarithmic-functions/476279: (3^x)+(4^x)=5^x. find x. 1 solutions Answer 326591 by Alan3354(30993)   on 2011-07-31 11:30:58 (Show Source): You can put this solution on YOUR website! The 3, 4, 5 triangle comes to mind x = 2 --------------

Rectangles/476253: Square A has an area of 144 square inches. Square B has an area that is 50% of the area of Square B. Find the area of Square B and then express it in feet. Remember that area is expressed in measurements squared. 1 solutions Answer 326589 by Alan3354(30993)   on 2011-07-31 11:17:19 (Show Source): You can put this solution on YOUR website! Square A has an area of 144 square inches. Square B has an area that is 50% of the area of Square B. Find the area of Square B and then express it in feet. Remember that area is expressed in measurements squared. ------------- Maybe you meant square B is 50% of square A ?? Square A is 144 sq inches = 1 sq ft. Square B is 1/2 that = 0.5 sq ft ----------------

Graphs/476273: Write the standard form of the equation of the line through the pair of points (7,-6) and (2,1). Write the equation using only integer coefficients. 1 solutions Answer 326588 by Alan3354(30993)   on 2011-07-31 11:14:26 (Show Source): You can put this solution on YOUR website! Use determinants. --------------- |x y 1| |7-6 1| = 0 |2 1 1| ---------- x(-6-1) - y(7-2) + (7+12) = 0 -7x - 5y = -19 7x + 5y = 19

logarithm/476286: According to Johannes Kepler's third law of a planetary motion,the radio of square of a planet's period of revolution around the Sun to the cube of its mean distance from the sun is constant for all planets. Verify that this is true for at least three planers. Page 470#41 1 solutions Answer 326586 by Alan3354(30993)   on 2011-07-31 11:11:22 (Show Source): You can put this solution on YOUR website! You'll have to provide the periods and the distances.

Polynomials-and-rational-expressions/476287: A square swimming pool has an 8-foot–wide sidewalk around it. If the sides of the pool have length z, find a polynomial that gives the area of the sidewalk. 1 solutions Answer 326584 by Alan3354(30993)   on 2011-07-31 11:10:03 (Show Source): You can put this solution on YOUR website! 8 ft added to each side --> a square z+16 on each side. It's = 32z + 256 sq ft

Radicals/476295: how to answer this 64x^(2) 1 solutions Answer 326575 by Alan3354(30993)   on 2011-07-31 10:32:21 (Show Source): You can put this solution on YOUR website! What is the question? 64x^2 is not a question.

Surface-area/476255: A tennis bakl has a diameter of 7 cm. What are the surface area and volume of the ball? 1 solutions Answer 326572 by Alan3354(30993)   on 2011-07-31 09:11:59 (Show Source): You can put this solution on YOUR website! r = 3.5 cm --------------

Travel_Word_Problems/476190: A bicyclist rides for 2h at a speed of 10 mph and then returns at a speed of 20 mph. find the cyclist average speed for the trip? 1 solutions Answer 326546 by Alan3354(30993)   on 2011-07-31 01:17:32 (Show Source): You can put this solution on YOUR website! It's similar to parallel resistors, but times 2 Avg speed = 2*product/sum = 2*10*20/(10 + 20) = 400/30 = 13.33 mph ---------------- Notice the distance is not relevant. This was used in the Michelson-Morley experiment to disprove the existence of the ether, in 1840.

Triangles/476184: How to find the exterior angle of a regular polygon? How to find the interior angle of a regular polygon? 1 solutions Answer 326537 by Alan3354(30993)   on 2011-07-30 22:33:32 (Show Source): You can put this solution on YOUR website! How to find the exterior angle of a regular polygon? It's 360/n degs ----------------- How to find the interior angle of a regular polygon? It's 180 - the exterior

Quadratic_Equations/476071: How do you know? Quadratic equation with positive discriminant 1 solutions Answer 326510 by Alan3354(30993)   on 2011-07-30 21:00:15 (Show Source): You can put this solution on YOUR website! How do you know what?

Linear-equations/476142: The product of two consecutive positive integers is 156. How do I find their sum? 1 solutions Answer 326507 by Alan3354(30993)   on 2011-07-30 20:57:06 (Show Source): You can put this solution on YOUR website! Find the integers, then add them. -------------- square of 156 =~ 12.5, the middle --> 12 & 13

Geometry_Word_Problems/476081: 1.If the height of a cylinder is doubled,by what number must the radius of the base be multiplied so that the resulting cylinder has the same volume as the original cylinder? (A)4 (B)2 (C)1/(radical 2) (D)1/2 (E)1/4 2.A cylinder with radius r and height h is closed on the top and bottom.Which of the following expressions represents the total surface area of this cylinder?(3.14 is the pi sign) (A)2*3.14*r(r+h) (B)3.14r(r+2h) (C)3.14r(2r+h) (D)3.14r^2+2h (E)2*3.14r^2+h Please help and thank you for giving your time to help me with these problems.I really appreciate it.Thanks again! 1 solutions Answer 326484 by Alan3354(30993)   on 2011-07-30 17:02:32 (Show Source): You can put this solution on YOUR website! 1.If the height of a cylinder is doubled,by what number must the radius of the base be multiplied so that the resulting cylinder has the same volume as the original cylinder? C The radius is squared in the formula for volume. (A)4 (B)2 (C)1/(radical 2) (D)1/2 (E)1/4 ------------ 2.A cylinder with radius r and height h is closed on the top and bottom.Which of the following expressions represents the total surface area of this cylinder?(3.14 is the pi sign) (A)2*3.14*r(r+h) (B)3.14r(r+2h) (C)3.14r(2r+h) (D)3.14r^2+2h (E)2*3.14r^2+h It's = A

test/476077: How can we use logarism in base ten? 1 solutions Answer 326474 by Alan3354(30993)   on 2011-07-30 15:43:32 (Show Source): You can put this solution on YOUR website! Look for examples worked on this site. In logarithms, you'll have to spell it right to find them.

Trigonometry-basics/476076: A football quarterback throws a football w/ a speed of 48 feet per square second @ an angle of 45 degrees upward from the ground. The vector that describes the motion of the football is: a) 34i-34j b) 34i+34j c) 30i+30j d) 68i+68j Can someone please help? I do not know how to do this! I really do not know why my college placed me in advanced Math either! 1 solutions Answer 326471 by Alan3354(30993)   on 2011-07-30 15:38:03 (Show Source): You can put this solution on YOUR website! A football quarterback throws a football w/ a speed of 48 feet per square second @ an angle of 45 degrees upward from the ground. The vector that describes the motion of the football is: ----------------- Should be just 48 ft/sec, not squared. ------------ The i and j components are equal, and are 48*sin(45) or 48*sqrt(2)/2 =~ 34 --> 34i + 34j b ------------- If this is foreign to you, get out of the class. It gets a lot worse.

Trigonometry-basics/476079: What is the magnitude of the vector: v=3i-2j a) 13 b) - square root 13 c) square root 13 d) sq. rt. 5 Can someone please help? I am overwhelmed and confused. 1 solutions Answer 326470 by Alan3354(30993)   on 2011-07-30 15:35:33 (Show Source): You can put this solution on YOUR website! It's

test/476074: How can we use logarism in base ten,give me formula? 1 solutions Answer 326469 by Alan3354(30993)   on 2011-07-30 15:34:38 (Show Source): You can put this solution on YOUR website! The logarithm is the exponent. If Then the log(y) = x ------------ Base 10 is assumed, unless another base is specified. log(...) is assumed to be base 10. ---------------- ln(...) is "natural log" base e.

Rate-of-work-word-problems/476072: If 12 men can dig 35 holes in 14 days, (a) how many men are needed to dig 35 holes in 8 days, (b) how many days would it take 12 men to dig 30 holes? Please help me with ONLY Part B. Part A I know how to do. If Part B needs the answer from Part A, the answer is 21 men. 1 solutions Answer 326468 by Alan3354(30993)   on 2011-07-30 15:31:17 (Show Source): You can put this solution on YOUR website! If 12 men can dig 35 holes in 14 days, (a) how many men are needed to dig 35 holes in 8 days, 35 holes takes 168 man-days 168 man-days/8 days = 21 men ----------------------------- (b) how many days would it take 12 men to dig 30 holes? 35 holes takes 168 man-days --? 168/35 man-days per hole = 4.8 man-days per hole 4.8*30 = 144 man-days 144 man-days/12 men = 12 days ------------------------------ Keeping the units with the calculations makes it more obvious.