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# Recent problems solved by 'Alan3354'

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 Permutations/559639: how many 3 digit numbers can be formed if repetition is allowed? 1 solutions Answer 363485 by Alan3354(30954)   on 2012-01-19 16:37:41 (Show Source): You can put this solution on YOUR website!how many 3 digit numbers can be formed if repetition is allowed? ------- If 000, 001, etc is accepted, then 10*10*10 = 1000 ----------- If no leading zeroes are allowed, then 100 to 999 = 900
 Rational-functions/559620: How do you solve 4^(1/3+5/3)? Would the answer be 14?1 solutions Answer 363474 by Alan3354(30954)   on 2012-01-19 15:53:37 (Show Source): You can put this solution on YOUR website!How do you solve 4^(1/3+5/3)? Would the answer be 14? ------- =
 Geometry_Word_Problems/559621: A round glass top coffee table has a diameter of 36 inches, how much soft padding would be needed to cover the edges around the table? 1 solutions Answer 363473 by Alan3354(30954)   on 2012-01-19 15:52:21 (Show Source): You can put this solution on YOUR website!A round glass top coffee table has a diameter of 36 inches, how much soft padding would be needed to cover the edges around the table? -------- The circumference is 36*pi =~ 113 inches
 Triangles/559610: How do I classify the type of triangle when given the numbers 4,6 and radical 8?1 solutions Answer 363471 by Alan3354(30954)   on 2012-01-19 15:36:45 (Show Source): You can put this solution on YOUR website!How do I classify the type of triangle when given the numbers 4,6 and radical 8? ------------ 6 is the longest side. --> obtuse
 logarithm/559608: Solve for x using logarithms. Give an exact answer. Do not enter a decimal approximation. 3*2^x = 8*7^x 1 solutions Answer 363470 by Alan3354(30954)   on 2012-01-19 15:35:11 (Show Source): You can put this solution on YOUR website! log(3) + x*log(2) = log(8) + x*log(7) x*(log(7) - log(2)) = log(3) - log(8) - log(3/8) x = log(3/8)/log(7/2)
 Polynomials-and-rational-expressions/559576: How do you solve this problem? 6^1/3*6^5/31 solutions Answer 363463 by Alan3354(30954)   on 2012-01-19 14:22:37 (Show Source): You can put this solution on YOUR website!duplicate
 Polynomials-and-rational-expressions/559573: 6^1/3*6^5/3 How do you solve this?1 solutions Answer 363462 by Alan3354(30954)   on 2012-01-19 14:19:23 (Show Source): You can put this solution on YOUR website!6^1/3*6^5/3 How do you solve this? ------------- It's not to be solved, there's no variable and no equal sign. --------- When you multiply, you add exponents. = 36
 Miscellaneous_Word_Problems/559484: To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?1 solutions Answer 363442 by Alan3354(30954)   on 2012-01-19 11:40:53 (Show Source): You can put this solution on YOUR website!To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long? ----------- The increase is 7 times the volume of the sphere with a radius of 10 inches. =
 Polynomials-and-rational-expressions/559498: hey i need the anwser for x+6/x-6 1 solutions Answer 363441 by Alan3354(30954)   on 2012-01-19 11:29:41 (Show Source): You can put this solution on YOUR website!hey i need the anwser for x+6/x-6 ----------- What is the question?
Quadratic_Equations/559483: I have the answer to this problem but I am not sure how they got it...
g(x)= 4x^2 - 3x + 1
3/8 +- square root (7)/8i
Can someone explain how they did this?
Thank you
1 solutions

Answer 363437 by Alan3354(30954)   on 2012-01-19 11:12:15 (Show Source):
You can put this solution on YOUR website!
g(x)= 4x^2 - 3x + 1
-----
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -7 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -7 is + or - . The solution is , or Here's your graph:

 Graphs/559470: How do u graph Y=3x+51 solutions Answer 363434 by Alan3354(30954)   on 2012-01-19 10:29:47 (Show Source): You can put this solution on YOUR website!How do u graph Y=3x+5 ----------- It's a straight line, so you need 2 points. Pick 2 values for x and find y. Plot the 2 points. Draw a line thru them.
 Numbers_Word_Problems/559436: One number is 5 more than another. If their sum is 37, what is the bigger number? 1 solutions Answer 363429 by Alan3354(30954)   on 2012-01-19 09:12:15 (Show Source): You can put this solution on YOUR website!One number is 5 more than another. If their sum is 37, what is the bigger number? --------- n + (n+5) = 37
 Linear-systems/559285: I've forgot how to get a problem back into standard form, where the problems I'm used to are in Ax + By = C ; Dx + Ey = F, I have a problem in Ax + By = C ; Fy = Dx + E 3x - 2y = -3 6y = 9x + 9 ~Sorry for being lengthy.1 solutions Answer 363367 by Alan3354(30954)   on 2012-01-18 22:06:55 (Show Source): You can put this solution on YOUR website!3x - 2y = -3 That is standard form. -------- 6y = 9x + 9 9x - 6y = -9 is standard form
 Numbers_Word_Problems/559310: There are three consecutive even integers. If twice the first integer added to the third is 268, 264, find all three integers. Please help me. I do not understand how to set this problem up at all. It does not make sense to me. 1 solutions Answer 363357 by Alan3354(30954)   on 2012-01-18 21:25:58 (Show Source): You can put this solution on YOUR website!There are three consecutive even integers. If twice the first integer added to the third is 268,264. find all three integers. -------------- n = 1st integer, then n+2 & n+4 2n + n+4 = 268264 3n = 268260 n = 89420 ------- --> 89420, 89422 & 89424
 Travel_Word_Problems/559254: You drove at 60mph for 4h. To find the total distance you traveled, what do you use multiplication or division? 1 solutions Answer 363346 by Alan3354(30954)   on 2012-01-18 20:27:15 (Show Source): You can put this solution on YOUR website!You drove at 60mph for 4h. To find the total distance you traveled, what do you use multiplication or division? --------- d = r*t
 Numbers_Word_Problems/559118: Whats a number greater than 10 less than 20 and digits that equal 9?1 solutions Answer 363312 by Alan3354(30954)   on 2012-01-18 18:10:08 (Show Source): You can put this solution on YOUR website!Whats a number greater than 10 less than 20 and digits that equal 9? ------- That's not possible. Between 10 & 20, it's a 2 digit number, at least to the left of the decimal. If its digits = 9, --> 99 -------------------- If you mean the sum of the digits is 9, then the number is 18. That's not the same as "digits that equal 9"
 Travel_Word_Problems/559125: How long will it take to walk,an hour and a half drive?1 solutions Answer 363311 by Alan3354(30954)   on 2012-01-18 18:08:06 (Show Source): You can put this solution on YOUR website!How long will it take to walk,an hour and a half drive? ------ A long time.
 Linear-equations/559124: y=2/5x+21 solutions Answer 363310 by Alan3354(30954)   on 2012-01-18 18:06:25 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Mixture_Word_Problems/559037: The average of seven consecutive integers is 10. What are the seven integers? 1 solutions Answer 363300 by Alan3354(30954)   on 2012-01-18 16:16:40 (Show Source): You can put this solution on YOUR website!The average of seven consecutive integers is 10. What are the seven integers? ----- 10 is the middle number. There are 3 below and 3 above it. -------- 7 thru 13
 Mixture_Word_Problems/559033: A carton of whipping cream contains 35% butterfat. A carton of "2%" milk contains 2% butterfat. If a volume of whipping cream is mixed with an equal volume of "2%" milk, the percentage of butterfat in the mixture?1 solutions Answer 363298 by Alan3354(30954)   on 2012-01-18 16:07:20 (Show Source): You can put this solution on YOUR website!A carton of whipping cream contains 35% butterfat. A carton of "2%" milk contains 2% butterfat. If a volume of whipping cream is mixed with an equal volume of "2%" milk, the percentage of butterfat in the mixture? ------------ It will be the average (2 + 35)/2 = 18.5%
 Travel_Word_Problems/559030: vehicle A must come within 300 feet of following vehicle B both traveling in same direction. Vehicle A is already traveling at 70 MPH when it crosses an imaginary start line. Vehicle B begins chase from a dead stop from same start line. Vehicle A must progrssively accelerate faster than 70 MPH in order to come within 300 feet for a visual identification. please calculate the time in seconds it will take Vehicle A to come within 300 feet at 100MPH. Can you also show the formula so I can modify for differnt speeds? Thank you1 solutions Answer 363296 by Alan3354(30954)   on 2012-01-18 16:04:48 (Show Source): You can put this solution on YOUR website!vehicle A must come within 300 feet of following vehicle B both traveling in same direction. Vehicle A is already traveling at 70 MPH when it crosses an imaginary start line. Vehicle B begins chase from a dead stop from same start line. Vehicle A must progrssively accelerate faster than 70 MPH in order to come within 300 feet for a visual identification. please calculate the time in seconds it will take Vehicle A to come within 300 feet at 100MPH. Can you also show the formula so I can modify for differnt speeds? ---------------- You have to specify B's rate of acceleration, and to what speed, not just faster than 70 mph.
 Linear-systems/559024: I need help with this homework problem please! I cannot for the life of me figure it out. Thank you! 10= 2x/5 - 2 I am not sure how to type this out but it is 10 equals and then 2x is over a fraction bar and 5 is below the fraction bar, then to the right is a negative 2.1 solutions Answer 363294 by Alan3354(30954)   on 2012-01-18 15:46:24 (Show Source): You can put this solution on YOUR website! Add 2 Multiply by 5 60 = 2x x = 30
 Numbers_Word_Problems/559015: Laura is thinking of two one digit numbers whose sum is 11 and whose product is 181 solutions Answer 363293 by Alan3354(30954)   on 2012-01-18 15:37:25 (Show Source): You can put this solution on YOUR website!Laura is thinking of two one digit numbers whose sum is 11 and whose product is 18 --------- Hint: 18 = 1*18, 2*9 or 3*6 -------------- x = 1 number 11 - x = other number x*(11-x) = 18 Now you have to factor it anyway. -------------- x = 1 number 18/x = other number x + 18/x = 11 Same equation.
 Numeric_Fractions/558994: simplify 43/5 please 1 solutions Answer 363288 by Alan3354(30954)   on 2012-01-18 14:30:26 (Show Source): You can put this solution on YOUR website!simplify 43/5 please ----------- That's as simple as it gets. = 8.6, maybe that's simpler. ------------- "Simplified" can be a matter of opinion.
 Linear-equations/558917: y-9=2(x+4), for y1 solutions Answer 363271 by Alan3354(30954)   on 2012-01-18 10:47:46 (Show Source): You can put this solution on YOUR website! y-9=2(x+4), for y --------- Add 9 to both sides
 Systems-of-equations/558919: okay so i am having problems with my online math homework i just want this double checked. 6-5(8-(2y-4))original equation 6-5(8-2y-4) 6-5(4-2y) 6-20+10y 10y-14 answer i got1 solutions Answer 363270 by Alan3354(30954)   on 2012-01-18 10:46:44 (Show Source): You can put this solution on YOUR website!6-5(8-(2y-4))original equation **** equations have equal signs. ------------ 6-5(8-2y-4) *** should be 6 -5(8-2y+4) not -4 = 6 - 5(12-2y) = 6 - 60 + 10y = 10y - 54 --------------- 6-5(4-2y) 6-20+10y 10y-14 answer i got
 test/558842: What's the answer to x^+5x+21 solutions Answer 363269 by Alan3354(30954)   on 2012-01-18 10:44:04 (Show Source): You can put this solution on YOUR website!What's the answer to x^+5x+2 ------- It depends on the question. I have one. What is x^ ?
Miscellaneous_Word_Problems/558914: If a stone is tossed from the top of a 270 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 270, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer.
1 solutions

Answer 363267 by Alan3354(30954)   on 2012-01-18 10:42:54 (Show Source):
You can put this solution on YOUR website!
If a stone is tossed from the top of a 270 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 270, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer.
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It hits the ground when h(t) = 0
h(t) = -9.8t2 – 10t + 270 = 0
Solve for t.
The units are seconds, as you stated.
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The equation is not right for Earth's gravity, tho.
It's -4.9t^2 – 10t + 270 = 0 not -9.8
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 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=5392 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -8.51328969415748, 6.47247336762686. Here's your graph: