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Human-and-algebraic-language/315482: determine the number of real solutions of 36x squared -12x+52=0 by using the discriminant. 1 solutions Answer 225777 by Fombitz(13828)   on 2010-06-18 15:48:30 (Show Source): You can put this solution on YOUR website! Since , there are no real solutions.

Triangles/315478: Given two sides with lengths 3x and 5x + 4, which of the following lengths would NOT work for the third side of a triangle? 1 solutions Answer 225775 by Fombitz(13828)   on 2010-06-18 15:46:23 (Show Source): You can put this solution on YOUR website! No choices are given. If the legs were lined up end to end the length would be Lmax= If they were lined up next to each other, Lmin= You can never reach these limits but, (Lmin < L < Lmax) (2x+4 < L < 8x+4)

Divisibility_and_Prime_Numbers/315457: How many prime numbers does Set S have? S = { 1, 24, 6, 7, 13, 161, 171 } a 3 b 4 c 5 d 6 e 7 1 solutions Answer 225774 by Fombitz(13828)   on 2010-06-18 15:42:37 (Show Source): You can put this solution on YOUR website! 7, 13 are the only primes. . . . 1 - not a prime number and not a composite number. 24 - 2*2*2*3 6 - 2*3 7 - 1*7 13 - 1*13 161 - 7*23 171 - 3*57

Equations/315455: What is x when x - √x - 2 = 0? a -1 b 1 c 2 d 4 e none 1 solutions Answer 225772 by Fombitz(13828)   on 2010-06-18 15:40:08 (Show Source): You can put this solution on YOUR website! As you see from the graph, this equation never crosses the x-axis. Its roots are complex and not real. E) is the correct answer.

logarithm/315506: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. e^0.06t + 2 = 6 1 solutions Answer 225771 by Fombitz(13828)   on 2010-06-18 15:37:08 (Show Source): You can put this solution on YOUR website! or approximately,

Probability-and-statistics/315522: A menu has five choices for an appetizer, seven choices for the main dish, and three choices for a dessert. How many different meals are available if one appetizer, one main dish, and one dessert are selected? 1 solutions Answer 225770 by Fombitz(13828)   on 2010-06-18 15:35:29 (Show Source): You can put this solution on YOUR website!

Average/315550: Kim’s average score on her first three math tests is 78. She scored 63 on the first test. On the third test, she scored 9 more than he scored on her second test. What did she score on the second and third tests? Set up an equation, then solve and explain. 1 solutions Answer 225769 by Fombitz(13828)   on 2010-06-18 15:34:22 (Show Source): You can put this solution on YOUR website! Let S be the score from the second test, T the score from the third. . . Then from above,

Linear-systems/315555: Two circles x^2+y^2=11 and (x-3)^2+y^2=2 intersect at two points. P and Q. Find the exact length of the line segment PQ. 1 solutions Answer 225766 by Fombitz(13828)   on 2010-06-18 15:21:32 (Show Source): You can put this solution on YOUR website! Solve for the intersection points. . . . Now solve for y Points P and Q are (,) and (,). The length of PQ is .

Quadratic-relations-and-conic-sections/315532: x^2/a^2- y^2/a^2=1 find the coordinates of the vertices and co-vertices 1 solutions Answer 225761 by Fombitz(13828)   on 2010-06-18 15:17:21 (Show Source): You can put this solution on YOUR website! Vertices:(,),(,) Co-vertices:(,),(,)

Geometry_Word_Problems/315538: if you have a 1 acre square piece of land....how many feet of fence will you need to enclose it? how many feet of fence will you need to enclose 2 acres?... 1 solutions Answer 225758 by Fombitz(13828)   on 2010-06-18 15:11:15 (Show Source): You can put this solution on YOUR website! 1 acre equals 4840 square yards. The minimum perimeter to enclose 1 acre would be a square with sides of anf then the perimeter would be yds.= ft For 2 acres, yds.= ft

Polynomials-and-rational-expressions/315470: (2/m-3)+ (4m-12/9-m^2) 1 solutions Answer 225757 by Fombitz(13828)   on 2010-06-18 15:03:58 (Show Source): You can put this solution on YOUR website! simplify first, then find a common denominator.

Probability-and-statistics/315466: The number of baby deliveries in a small hospital was sampled over 12 hour periods. Below is the sample: 18 21 9 16 8 4 21 16 9 5 12 16 5 9 7 25 14 9 17 From this data set, compute the sample mean, median, mode and midrange. Compute the 1st quartile and 3rd and interpret their meanings. Please help 1 solutions Answer 225754 by Fombitz(13828)   on 2010-06-18 14:58:11 (Show Source): You can put this solution on YOUR website! First order your data. 4,5,5,7,8,9,9,9,9,(12), 14,16,16,16,17,18,21,21,25 For the average, sum the numbers and divide by . Average= . . . The median is the middle data once arranged in order. Since you have an odd number of values, take the middle (the 10th) one. Median= . . . The mode is the value that occurs most. Mode= . . . The midrange is the avearge of the minimum and mazimum values. Midrange= . . . 4,5,5,7,(8),9,9,9,9 The first quartile is the middle value of the first half. First quartile= . . . 14,16,16,16,(17),18,21,21,25 The third quartile is the middle value of the second half. Third quartile=

Quadratic_Equations/315340: Find the geometric mean of 4, _____ , 196 A. 28 B. 7 or -7 C. 7 D. 28 or -28 1 solutions Answer 225696 by Fombitz(13828)   on 2010-06-18 00:10:33 (Show Source): You can put this solution on YOUR website! A) is the correct answer.

Matrices-and-determiminant/315336: solved by eliminator method. 5x + 6y = 1; 10x +12y = 2 1 solutions Answer 225695 by Fombitz(13828)   on 2010-06-18 00:07:37 (Show Source): You can put this solution on YOUR website! 1. 2. Mutliply eq. 1 by (-2) and add to equation 2 to eliminate x. The system is inconsistent. There is no solution, the lines are parallel.

logarithm/315417: Find the logarithm using the change-of-base formula. ten-thousandth. log[9]73.11 1 solutions Answer 225694 by Fombitz(13828)   on 2010-06-18 00:05:14 (Show Source): You can put this solution on YOUR website!

test/315370: (a+b)=? 1 solutions Answer 225693 by Fombitz(13828)   on 2010-06-17 23:59:29 (Show Source): You can put this solution on YOUR website! (b+a)

logarithm/315359: solve. where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log x = 1 1 solutions Answer 225692 by Fombitz(13828)   on 2010-06-17 23:58:49 (Show Source): You can put this solution on YOUR website!

logarithm/315352: what is the answer for this logarithmic equation? 2 ln(-x)+7=14 1 solutions Answer 225691 by Fombitz(13828)   on 2010-06-17 23:57:29 (Show Source): You can put this solution on YOUR website!

Miscellaneous_Word_Problems/315346: Using 9.8 m/s2 for the acceleration due to gravity. For Newton's law calculations, mass must be expressed in kg and velocity must be expressed in m/s. What is the weight of a 100 kg man? 1 solutions Answer 225690 by Fombitz(13828)   on 2010-06-17 23:56:06 (Show Source): You can put this solution on YOUR website! kgm/s^2= N

Miscellaneous_Word_Problems/315344: Using 9.8 m/s2 for the acceleration due to gravity. For Newton's law calculations, mass must be expressed in kg and velocity must be expressed in m/s. What is the resulting acceleration when an unbalanced force of 100 N is applied to a 5.0 kg object? 1 solutions Answer 225689 by Fombitz(13828)   on 2010-06-17 23:54:04 (Show Source): You can put this solution on YOUR website! m/s^2

Miscellaneous_Word_Problems/315343: Using 9.8 m/s2 for the acceleration due to gravity. For Newton's law calculations, mass must be expressed in kg and velocity must be expressed in m/s. What is the acceleration of a car that moves from a speed of 5.0 m/s to a speed of 15 m/s during a time of 6.0 s? 1 solutions Answer 225688 by Fombitz(13828)   on 2010-06-17 23:53:12 (Show Source): You can put this solution on YOUR website! m/s^2

Probability-and-statistics/315393: Two balanced dice are rolled. What is the probability that the sum is six or a "doubles" rolled? 1 solutions Answer 225687 by Fombitz(13828)   on 2010-06-17 23:48:53 (Show Source): You can put this solution on YOUR website! There are 36 possible outcomes. (1,5) (2,4) (3,3) (4,2) (5,1): 5 possible outcomes sum to 6. There are 6 possible doubles. (1,1) (2,2)...(6,6) P(Sum=6)=5/36 P(Doubles)=6/36 P(Sum=6 or Doubles)=5/36+6/36-1/36. 1/36 is subtracted since (3,3) is counted twice, once as the sum of 6 and again as the double. P(Sum=6 or Doubles)=10/36=5/18

Quadratic_Equations/315287: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1 a method requiring the quadratic formula and substitution is required 1 solutions Answer 225592 by Fombitz(13828)   on 2010-06-17 16:41:57 (Show Source): You can put this solution on YOUR website! Well that's certainly not the easy way. You have two equations. Look for the intersection point. Set them equal to each other. Since the line is a tangent point, the curves only intersect at one point. Then x must be a double root and the equation must be a perfect square. Complete the square to solve for both x and b. The x coordinate for intersection is and also

logarithm/315286: if log 2 = 0.301 and log 3 = 0.477 what does log9 8 =?? 1 solutions Answer 225571 by Fombitz(13828)   on 2010-06-17 16:03:04 (Show Source): You can put this solution on YOUR website!

logarithm/315283: find the logarith using the change-of-base formula. logn 1500 1 solutions Answer 225568 by Fombitz(13828)   on 2010-06-17 15:57:41 (Show Source): You can put this solution on YOUR website!

Exponential-and-logarithmic-functions/315275: As a fraction: Using the Quotient Rule for Radicals Simplify the following Radical: a Fraction: Square root sign over 4t^2/Square root sign over 24t^4 1 solutions Answer 225566 by Fombitz(13828)   on 2010-06-17 15:56:53 (Show Source): You can put this solution on YOUR website!

Quadratic_Equations/315279: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1 1 solutions Answer 225564 by Fombitz(13828)   on 2010-06-17 15:53:58 (Show Source): You can put this solution on YOUR website! The slope of the tangent of the parabola is equal to the value of the derivative. So at the point , the slope of the tangent line equals -2. At that point, So then and the equation of the tangent line is, . . .

Matrices-and-determiminant/315233: Use Cramer's Rule, if applicable, to solve the system. 3x - 4y - 12 = 0 5x + 2y + 6 = 0 1 solutions Answer 225561 by Fombitz(13828)   on 2010-06-17 15:37:37 (Show Source): You can put this solution on YOUR website! [A]= [b]= . . Find the determinant of [A]. det[A]= . . Replace the first column of [A] with [b] [Ax]= . . Calculate this determinant. det[Ax]= . . Calculate . . . x=det[Ax]/det[A] . . Replace the second column of [A] with [b] [Ay]= . . Calculate this determinant. det[Ax]= . . Calculate . . . y=det[Ay]/det[A]

Numbers_Word_Problems/315161: One number is five more than another, and their sum is three less than three times the smaller. Find the numbers.If x represents the smaller number, which equation could be used to solve for x? 1 solutions Answer 225556 by Fombitz(13828)   on 2010-06-17 15:20:07 (Show Source): You can put this solution on YOUR website! Let the two numbers be and . 1. 2. Substitute eq. 1 in eq. 2 to remove y. Then from eq. 1,

Geometry_Word_Problems/315143: The ratio of sports cars to luxury cars sold in St. Louis last year was 3 to 2. If 20 more sports cars were sold than luxury cars, how many of each were sold? 1 solutions Answer 225553 by Fombitz(13828)   on 2010-06-17 15:14:10 (Show Source): You can put this solution on YOUR website! Let A be the number of luxury cars sold. Then A+20 is the number of sports cars sold. We know that, 40 luxury cars and 60 sports cars were sold.

Quadratic-relations-and-conic-sections/315263: How do i identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. ex:3y2 - x = 0 1 solutions Answer 225552 by Fombitz(13828)   on 2010-06-17 15:11:32 (Show Source): You can put this solution on YOUR website! One variable is linear, the other has a power of 2. These are signs of a parabola.