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Polynomials-and-rational-expressions/328432: Simplify by removing factors of 1 x^2-7x+12/x^2+5x-36 Can you please show me how to do this? Thank you 1 solutions Answer 235277 by Fombitz(13828)   on 2010-08-03 14:18:33 (Show Source): You can put this solution on YOUR website!

Linear_Algebra/328492: 6X+3Y=4.5 cONVERT FUNCTION INTO EQUATION AND FIND F(5) 1 solutions Answer 235276 by Fombitz(13828)   on 2010-08-03 14:16:32 (Show Source): You can put this solution on YOUR website!

Human-and-algebraic-language/328493: 6. The power supply P (in watts) in a satellite is given by: P=100e^-0.005t where t is measured in days. Find the time rate of change of power after 100 days. 1 solutions Answer 235275 by Fombitz(13828)   on 2010-08-03 14:15:14 (Show Source): You can put this solution on YOUR website! Watts/day

Probability-and-statistics/328413: Spacecraft are expected to land in a prescribed recovery zone 80% of the time. Over a period of time,six spacecraft land. a)Find the probability that none lands in the prescribed zone. b)Find the probability that at least one will land in the prescribed zone. c)The landing program is called successful if the probability is 0.9 or more that three or more out of six spacecraft will land in the prescribed zone. Is the program successful? 1 solutions Answer 235274 by Fombitz(13828)   on 2010-08-03 14:10:42 (Show Source): You can put this solution on YOUR website! a) P(none)= . . . b)At least one means "not none". P(not none)+P(none)= P(not none)=1-P(none)= . . . c) Find P(3 or greater successes)= P(>=3)= P(>=3)= Since , success. . . . We could have also calculated, and subtracted from 1 Same answer but saving one step.

Probability-and-statistics/328408: A production line manufactures 5-gal(18.93-liter) gasoline cans to a volume tolerance of 5%. The probability of any one can being out of tolerance is 0.03. If 4 cans are selected at random: a)What is the probability they are all out of tolerance? b)What is the probability of exactly two being out? c)What is the probability that all are in tolerance? 1 solutions Answer 235267 by Fombitz(13828)   on 2010-08-03 13:30:26 (Show Source): You can put this solution on YOUR website! a) P(4 bad)= . . . b) P(4 good)= Look at all of the possible combinations of exactly 2 bad (G-good, B-bad) GGBB GBGB GBBG BGGB BGBG BBGG There are 6 of them. Their individual probabilities are Since there are 6 of them, P(exactly 2 bad)= . . . c) P(4 good)=

Polynomials-and-rational-expressions/328407: Multiply and Simplify 3b^3/11p^2*121p^4/9b Thank you 1 solutions Answer 235264 by Fombitz(13828)   on 2010-08-03 13:20:22 (Show Source): You can put this solution on YOUR website!

Systems-of-equations/328418: Can someone please walk me through this? Solve the system of equations by substitution for real values of x and y. x^2 + y^2 = 58 y = x^2 - 2 (_____,_____) (smaller x value) (_____,_____) (larger x value) Thank you, Edgar 1 solutions Answer 235263 by Fombitz(13828)   on 2010-08-03 13:17:25 (Show Source): You can put this solution on YOUR website! 1. 2. From eq. 2, Substitute into eq. 1, Two solutions for y. . . . . . .Now solve for x. . . . No solution. . . . (-3,7) and (3,7) are the solutions . . .

Numeric_Fractions/328424: -2a^2/3a^2*20a?15a^3 1 solutions Answer 235248 by Fombitz(13828)   on 2010-08-03 11:15:33 (Show Source): You can put this solution on YOUR website! There's a "?" in your expression. Please re-post.

Trigonometry-basics/328425: Solve the following equation over the interval [0.2pi). 4cos^2x=3 1 solutions Answer 235247 by Fombitz(13828)   on 2010-08-03 11:14:58 (Show Source): You can put this solution on YOUR website! Four solultions: , ,,

Expressions-with-variables/328325: graph the line containing the given pair of points and find the slope (3,0),(-1,-2) 1 solutions Answer 235238 by Fombitz(13828)   on 2010-08-03 10:36:12 (Show Source): You can put this solution on YOUR website! Graph the points and draw the line between them, . . . You can read the slope from the line. To go from one point to the other, move 4 units in the x, 2 units in the y. Slope is change in y over change in x. or you can solve it algebraically. Then use the slope-intercept form of a line, Use either point to solve for .

Linear-equations/328392: In a shooting competition,a person receives $5 if he hits the mark and pays $2 if he misses it. He tried 60 shots and was paid $13. How many times did he hit the mark? 1 solutions Answer 235235 by Fombitz(13828)   on 2010-08-03 10:27:25 (Show Source): You can put this solution on YOUR website! DUPLICATE See Answer 235226.

Mixture_Word_Problems/328403: 10cm^3 of a normal specimen of human blood contains 1.2 g of hemoglobin. How many grams does 16 cm^3 of the same blood cantain? 1 solutions Answer 235234 by Fombitz(13828)   on 2010-08-03 10:26:07 (Show Source): You can put this solution on YOUR website! 1.2 is to 10 as X is to 16. Set up a ratio. g of hemoglobin

logarithm/328347: 2+log6(x-1)=log6(12x) 1 solutions Answer 235233 by Fombitz(13828)   on 2010-08-03 10:24:56 (Show Source): You can put this solution on YOUR website!

Travel_Word_Problems/328290: three times the number twice of blue marbles exceeds twice the number of red marbles by 18. Also 5 times the number of blue marbles if 2 less than 6 times the number of red marbles. how many of each are there? 1 solutions Answer 235232 by Fombitz(13828)   on 2010-08-03 10:22:10 (Show Source): You can put this solution on YOUR website! Let B be the number of blue marbles, R red. 1. 2. From eq. 1, Substitute into eq. 2, Multiply both sides by 15. R is not an integer value which it must be. Check the problem setup. "three times the number twice of blue marbles" Is this correct? Three times twice is 6 times.

Quadratic_Equations/328267: 100x^2-60x+9=0 1 solutions Answer 235229 by Fombitz(13828)   on 2010-08-03 10:14:26 (Show Source): You can put this solution on YOUR website! Factor, . . .

Linear-equations/328402: Without graphing, determine whether the following paraholas opens upward or downward and find the vertex. g(x)=-4(x+1)^2+8 I know it opens downward and the vertex is (-1,8) I just don't know how it was found. Can you please help. Thanks 1 solutions Answer 235228 by Fombitz(13828)   on 2010-08-03 10:11:34 (Show Source): You can put this solution on YOUR website! DUPLICATE Previously answered See Answer 235190. It opens downward because the coefficient is negative (-4). . . . It's in vertex form where (h,k) is the vertex. If the parabola opens upwards, the vertex y coordinate is the minimum y value. If the parabola opens downwards, the vertex y coordinate is the maximum y value. In this case, . . .

Linear-equations/328380: In a shooting competition, a person receives $5 if he hits the mark and pays $2 if he misses it.He tried 60 shots and was paid $13. how many times did he hit the mark? 1 solutions Answer 235226 by Fombitz(13828)   on 2010-08-03 10:08:54 (Show Source): You can put this solution on YOUR website! Let H be the number of hits, M the number of misses. 1. 2. Multiply eq. 1 by 2 and add to eq. 2 to eliminate M. Then from eq. 1, . . . 19 hits and 41 misses.

test/328326: use the distributive property to help you solve the equation 7(w-4)=28 1 solutions Answer 235225 by Fombitz(13828)   on 2010-08-03 10:05:25 (Show Source): You can put this solution on YOUR website! <--- Distribute the 7 on the left hand side. <--- Add 28 to both sides. <--- Simplify <--- Divide both sides by 7. <--- Final answer.

Trigonometry-basics/328340: could you please find the derivatives of the function given by: y=((2/x^2)+x)^-1/3 please show all working 1 solutions Answer 235224 by Fombitz(13828)   on 2010-08-03 10:02:48 (Show Source): You can put this solution on YOUR website! Use the chain rule. Let Put it all together,

Linear-systems/328327: how do you graph this? -3x+6y=36 -x+2y=-8 1 solutions Answer 235223 by Fombitz(13828)   on 2010-08-03 09:56:22 (Show Source): You can put this solution on YOUR website! Find the x and y intercepts. To find the x-intercept, set y=0 and solve for x. (-12,0) To find the y-intercept, set x=0 and solve for y. (0,6) Plot the points and connect them with a line. . . . . . . -x+2y=-8 Find the x and y intercepts. To find the x-intercept, set y=0 and solve for x. (8,0) To find the y-intercept, set x=0 and solve for y. (0,-4) Plot the points and connect them with a line. . . .

logarithm/328318: Solve where appropriatw 1nx=7 1 solutions Answer 235222 by Fombitz(13828)   on 2010-08-03 09:46:53 (Show Source): You can put this solution on YOUR website! I think you mean ln(x)=7, natural log of x equals 7.

Quadratic_Equations/328390: Determine the nature of the solutions of the equation. y^2=2/3 y+4/3 1 solutions Answer 235221 by Fombitz(13828)   on 2010-08-03 09:44:16 (Show Source): You can put this solution on YOUR website! Multiply both sides by 3. Use the discriminant, Since the discriminant is positive, the solutions are two distinct real roots. . . .

Pythagorean-theorem/328394: A number cube is rolled and a number card is drawn from cards numbered 1-14. Find the number of possible outcomes for the situation. 1 solutions Answer 235220 by Fombitz(13828)   on 2010-08-03 09:41:20 (Show Source): You can put this solution on YOUR website! Number dice:6 possible outcomes Card draw:14 possible outcomes Number-card combination: possible combinations

Mixture_Word_Problems/328385: a long distance trucker travled 220 miles in one direction during a snow storm. The return trip in a rainy weather was accomplished at doubled the speed and took 5 hours less time. find the speed going. 1 solutions Answer 235219 by Fombitz(13828)   on 2010-08-03 09:40:02 (Show Source): You can put this solution on YOUR website! Rate*Time=Distance . . . . . . . 1. 2. From eq. 1, Substituting into eq. 2, mph Then from above, mph

Graphs/328388: Good morning, Here is my question What is the relationship of the lines which have equations of y=2 and x=0 A. Parallel B. Perpendicular C. Intersecting D. Not enough info to tell I know y=2 will create a horizontal on the y-axis at point 2. And I know 0 can't be plotted. Yet the question is so tricky I'm sure it can't just be D. Any help is welcome Thank you very much! 1 solutions Answer 235217 by Fombitz(13828)   on 2010-08-03 09:33:38 (Show Source): You can put this solution on YOUR website! is the y-axis. So and are perpendicular. . . .

Expressions-with-variables/328316: 9x-8y=32 8y-9x=-32 what is the solution of the system equations a no solution b infinitely many solution c a point is the system consistent or inconsistent is the system dependent or independent 1 solutions Answer 235216 by Fombitz(13828)   on 2010-08-03 09:32:03 (Show Source): You can put this solution on YOUR website! 1. . . . 2. . . . Eq.2 is eq.1 multiplied by (-1), they are the same line. This a dependent, consistent system with infinitely many solutions.

Quadratic_Equations/328383: solve the formula for the given letter. Assume all variables represent non-negative numbers. E=mc^2, for c. 1 solutions Answer 235215 by Fombitz(13828)   on 2010-08-03 09:29:11 (Show Source): You can put this solution on YOUR website!

Rational-functions/328250: Diane drove miles using gallons of gas. At this rate, how many miles would she drive using gallons of gas? 1 solutions Answer 235214 by Fombitz(13828)   on 2010-08-03 09:28:29 (Show Source): You can put this solution on YOUR website! All of the numbers are missing from your question. Please re-post.

Quadratic_Equations/328378: A.) solve 5x^2=15 what are the solutions? B.) find the x-intercepts of f(x)=5x^2-15? 1 solutions Answer 235212 by Fombitz(13828)   on 2010-08-03 09:27:39 (Show Source): You can put this solution on YOUR website! a) b) The x-interepts are the x values when f(x)=0. Looks familiar? From a), . . .

Quadratic_Equations/328376: find and label the vertex and the line of symmentry. Graph the function f(x)=-1/3 x^2 1 solutions Answer 235211 by Fombitz(13828)   on 2010-08-03 09:24:49 (Show Source): You can put this solution on YOUR website! The equation is in vertex form, , where (h,k) is the vertex. The vertex is (0,0) The vertex lies on the line of symmetry, . . . .

Pythagorean-theorem/328377: If c is the measure of the hypotenuse,find the missing measure. Round to the nearest tenth,if necessary. a=?,b=16,c=43. 1 solutions Answer 235210 by Fombitz(13828)   on 2010-08-03 09:23:09 (Show Source): You can put this solution on YOUR website! Use the Pythagorean theorem, Time to get out the calculator.