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# Recent problems solved by 'Fombitz'

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 Quadratic-relations-and-conic-sections/347596: evaluate the following determinants. -2 -1 0 -3 5 -2 0 8 -11 solutions Answer 248507 by Fombitz(13828)   on 2010-09-24 13:58:43 (Show Source): You can put this solution on YOUR website! I used EXCEL's MDETERM function with your matrix. . . . You could also calculate by hand,
 Graphs/347581: Graph f(x) = sinx/x How many times does the graph cross the asymptote?1 solutions Answer 248506 by Fombitz(13828)   on 2010-09-24 13:55:11 (Show Source): You can put this solution on YOUR website!Which asymptote do you mean? The x-axis? . . . If that's what you're asking, the answer is infinitely many. The solutions to are for any integer . . . .
 Functions/347663: Determine the domain and the range of the function g(x)=(4x-4)/(5x-30).1 solutions Answer 248505 by Fombitz(13828)   on 2010-09-24 13:50:39 (Show Source): You can put this solution on YOUR website! The domain is all x except those that make the denominator zero (shown in blue below). Domain:(,) U (,) . . . The range is all values except the asymptote value (shown in green below), As x becomes infintely large, g(x) becomes, Range:(,) U (,) . .
 Money_Word_Problems/347647: a pharmacist wishes to prepare 200ml of 8% solution, but has only a 10% solution and a 2% solution to mix together. how much of each solution should she use ? 1 solutions Answer 248504 by Fombitz(13828)   on 2010-09-24 13:40:33 (Show Source): You can put this solution on YOUR website!Let A be the amount of 10% solution. Let B be the amount of 2%solution. . . Volume equation: 1. Concentration equation: 2. Subtract eq. 1 from eq. 2, ml Then from eq. 1, ml
 Equations/347662: if x^8+1/x^8=2207 find the value of x+1/x1 solutions Answer 248502 by Fombitz(13828)   on 2010-09-24 13:37:45 (Show Source): You can put this solution on YOUR website! . . .
 Quadratic_Equations/347611: sketch the graph of the function -(1/2)y=x^21 solutions Answer 248501 by Fombitz(13828)   on 2010-09-24 13:35:12 (Show Source): You can put this solution on YOUR website! . . .
 Probability-and-statistics/347660: At least one-half of an airplane's engines are required to function in order for it to operate. If each engine independently functions with probability .8, is a 4-engine plane more likely to operate than a 2-engine plane?1 solutions Answer 248500 by Fombitz(13828)   on 2010-09-24 13:31:00 (Show Source): You can put this solution on YOUR website!I think the question you're asking is "Is it more likely (probable) that you will operate the plane on 2 engines rather than 4 engines". Because you already stated that a 4 engine plane operates just like a 2 engine plane, so they both operate. With four engines, the possible engine failures, there are configurations with 2 good engines and 2 bad engines from . The probability is higher that you will be operating on 4 engines rather than 2. Surprisingly, P(1 failed)=P(0 failed).
 Linear-equations/347659: y=3/4 x-1 I'm stuck on trying to multiply 3/4 times x I keep getting the answer online but no breakdown on how they got the answer so can you please help me. Thank you 1 solutions Answer 248499 by Fombitz(13828)   on 2010-09-24 13:21:54 (Show Source): You can put this solution on YOUR website!What answer are you looking for? is the equation of a line. WHat is the question?
 Linear-equations/347626: -2/3y+x=9 and 6x+4y=7 are they perpendicular?1 solutions Answer 248498 by Fombitz(13828)   on 2010-09-24 13:20:13 (Show Source): You can put this solution on YOUR website!First convert both to slope-intercept form, . . . . . . Perpendicular lines have slopes that are negative reciprocals, No, the lines are not perpendicular. . . .
 Circles/347638: How far would you have traveled if you went all the way around a circle with a diameter of twenty feet?1 solutions Answer 248497 by Fombitz(13828)   on 2010-09-24 13:14:08 (Show Source): You can put this solution on YOUR website!You would have traveled the circumference of the circle. feet.
 Divisibility_and_Prime_Numbers/347651: How do I prove that the product of 2 even numbers are always divisible by 4?1 solutions Answer 248496 by Fombitz(13828)   on 2010-09-24 13:12:54 (Show Source): You can put this solution on YOUR website!Let where is an integer, where m is an integer. The product is . Since it's a multiple of , it's divisible by .
 Functions/347652: I do not understand this. I read all about functions but it never talks about the double parentheses. Please help me with this. I tried a couple different thoughts but they were wrong. (1 pt) Let the function f be defined by f(x) = 4 x + 4. Then f(f(9)) =____ and f(f(10)) = ____. Hint: As always, first figure out what's inside the parentheses. 1 solutions Answer 248495 by Fombitz(13828)   on 2010-09-24 13:11:24 (Show Source): You can put this solution on YOUR website!How about if I said find and by the way . What would you do? FIrst you'd solve for . Then you'd plug that result into . But you're really solving . Try that first and see if it makes sense.
 Functions/347654: Please help me. I tried the only things that I thought would work on this problem and they were wrong. I tried 1 as the solution and 0 because anything else would make the whole thing under the sqrt a negative number right. It has me completely stumped. Let the function f be defined by f(x) = \sqrt{-7 x + 8}. Then x is in the domain of f provided x is less than or equal to _____. Hint: There is no real number that is the square root of a negative real number. 1 solutions Answer 248494 by Fombitz(13828)   on 2010-09-24 13:09:17 (Show Source): You can put this solution on YOUR website!Since the square root argument cannot be negative then, So the domain is (,]
 Quadratic_Equations/347532: Solve by using the quadratic equation y^2+6y+6=01 solutions Answer 248483 by Fombitz(13828)   on 2010-09-24 08:38:23 (Show Source): You can put this solution on YOUR website!I think you mean quadratic formula.
 Angles/347610: angle 9 is equal 2x-9 and angle 10 is equal 2x+9 find the measure of this angles1 solutions Answer 248482 by Fombitz(13828)   on 2010-09-24 08:36:37 (Show Source): You can put this solution on YOUR website!Is there a relationship between angle 9 and angle 10? Complementary? Supplementary? Vertical angles? Another equation is needed.
 Exponents/347589: Power of a Product rule the exponents is applied to each factor but I am stumped on this one can someone please help me solve this problem? Thanking you in advance. (2 a^2 b^3)^6/(4 a b^3)^31 solutions Answer 248480 by Fombitz(13828)   on 2010-09-24 08:35:28 (Show Source): You can put this solution on YOUR website!Stumped? Where are you having problems? 1. 2. 3. . . . . . By rule 1, . . By rule 3, . .
 Angles/347588: The measure of an angle which is five times its supplement is a)36degree b)30degree c)150degree d)180degree1 solutions Answer 248476 by Fombitz(13828)   on 2010-09-24 08:27:15 (Show Source): You can put this solution on YOUR website!By defintion, Substitute, . . degrees
 Travel_Word_Problems/347606: if you are traveling at 65 mph to a location that is 20 miles away, how long (round to the nearest minute) will it take to reach your destination, assuming you maintain a constant speed? a. 30 minutes b. 22 minutes c. 18 minutes d. 14 minutes e 9 minutes1 solutions Answer 248474 by Fombitz(13828)   on 2010-09-24 08:25:53 (Show Source): You can put this solution on YOUR website!Rate*Time=Distance . . . hrs Convert this answer to minutes and find the closest answer (60 minutes=1 hr).
 Evaluation_Word_Problems/347590: as t approaches 0 find the limit of ((sin^2)3t)/(t^2)1 solutions Answer 248473 by Fombitz(13828)   on 2010-09-24 08:24:03 (Show Source): You can put this solution on YOUR website!Use L'Hopital's rule. . . . f(x)= f1(x)=f'(x)= f2(x)=f''(x)= . . . g(x)= g1(x)=g'(x)= g2(x)=g''(x)= . . .
 Miscellaneous_Word_Problems/347592: A bicycle tire travels about 50.27 inches during one rotation of the wheel. What is the diameter of the tire?1 solutions Answer 248472 by Fombitz(13828)   on 2010-09-24 08:15:50 (Show Source): You can put this solution on YOUR website!One rotation is equivalent to the circumference of the circle, inches
 Equations/347595: On his last 3 math tests, Mark scored 85,95 and 80. what grade must he get on his next test to have an average of 90 for all four tests?1 solutions Answer 248471 by Fombitz(13828)   on 2010-09-24 08:14:24 (Show Source): You can put this solution on YOUR website!Let his next grade be . He needs a perfect score.
 Matrices-and-determiminant/347597: 1.(a)given the matrix=A {2 3},what ar its dimension {0-1} {1 4} b)can these matrices be multiplied,why or why not? {2} {3 0} {4} {-2 3} {0} {1 2}1 solutions Answer 248470 by Fombitz(13828)   on 2010-09-24 08:12:30 (Show Source): You can put this solution on YOUR website!a) 3 x 2 (rows x columns) . . . b) No, the first is 3 x 1 and the second is 3 x 2. The numbers of columns of the first matrix must match the number of rows of the second to allow for matrix multiplication.
 Miscellaneous_Word_Problems/347599: How many liters of a 60% acid solution must be mixed with a 75% acid solution to get 20 liters of a 72% solution?1 solutions Answer 248468 by Fombitz(13828)   on 2010-09-24 08:10:22 (Show Source): You can put this solution on YOUR website!Let A be the amount of 60% acid solution. Let B be the amount of 75% acid solution. Volume equation: 1. Concentration equation: 2. From eq. 1, Substitute into eq. 2, liters Then from eq. 1, liters
 Equations/347602: the sum of three consutive integers is 93 find the integers?1 solutions Answer 248467 by Fombitz(13828)   on 2010-09-24 08:06:51 (Show Source): You can put this solution on YOUR website! The integers are 30,31, and 32.
 Reduction-of-unit-multipliers/347603: How many Cubic Inches is the earths raduis1 solutions Answer 248466 by Fombitz(13828)   on 2010-09-24 08:05:59 (Show Source): You can put this solution on YOUR website!You're comparing apples and oranges. Volume are measured in cubic length units. Distances such as radii are measureed in length units. A more appropriate question would be, "Given the Earth's radius, what is the volume of the Earth in cubic inches?" or "What is the Earth's radius in inches?" So which are you looking for?
 Numeric_Fractions/347464: what is 1/2 divided by 3/41 solutions Answer 248438 by Fombitz(13828)   on 2010-09-23 22:50:35 (Show Source):
 Exponential-and-logarithmic-functions/347479: solve the equation for the indicated variable A=1/2h(B+b) for B1 solutions Answer 248436 by Fombitz(13828)   on 2010-09-23 22:49:21 (Show Source):
 Systems-of-equations/347513: 11y/20 divided by 3/111 solutions Answer 248435 by Fombitz(13828)   on 2010-09-23 22:47:57 (Show Source): You can put this solution on YOUR website!Dividing by a fraction is the same as multiplying by its reciprocal,
 Complex_Numbers/347488: How do I solve x9/2 - 9x5/2=0? How do I solve 2|3x-8|-17=13?1 solutions Answer 248432 by Fombitz(13828)   on 2010-09-23 22:44:34 (Show Source): You can put this solution on YOUR website! Three solutions: . . . . . . . . . and and and and . . .
 Polynomials-and-rational-expressions/347505: Write the resulting polynomial in standard form. (5-8x)^21 solutions Answer 248429 by Fombitz(13828)   on 2010-09-23 22:36:12 (Show Source): You can put this solution on YOUR website!Use the FOIL method,
 Matrices-and-determiminant/347506: given the matrix A= 2 3 0 -1 1 4 what are its dimensions?1 solutions Answer 248427 by Fombitz(13828)   on 2010-09-23 22:35:11 (Show Source): You can put this solution on YOUR website!3x2