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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Functions/671224: Find a polynomial f(x) of degree 4 that has the following zeros. -1, 3 , -2 , 0 Leave your answer in factored form. 1 solutions Answer 417318 by Alan3354(30993)   on 2012-10-24 11:57:53 (Show Source): You can put this solution on YOUR website!Find a polynomial f(x) of degree 4 that has the following zeros. -1, 3 , -2 , 0 Leave your answer in factored form. ------------- If the zeroes are a, b, c & d, --> (x-a)*(x-b)*(x-c)*(x-d) = 0
 logarithm/671221: Use the facts that log 3 = 0.4771 to find the value of the logarithm. log 1 over 3001 solutions Answer 417317 by Alan3354(30993)   on 2012-10-24 11:56:33 (Show Source): You can put this solution on YOUR website!Use the facts that log 3 = 0.4771 to find the value of the logarithm. log 1 over 300 -------------- Hint: 1/300 = 1/3 * 1/10 * 1/10 log(1/3) = -log(3) log(1/10) = -1 ----------------
 Permutations/671219: Every day of your extended ski vacation, your family of gets in line at the cafeteria, but in a different order. On the last day, however, you can't help repeating a previous order. How many days did your vacation last? 1 solutions Answer 417315 by Alan3354(30993)   on 2012-10-24 11:46:35 (Show Source): You can put this solution on YOUR website!Every day of your extended ski vacation, your family of gets in line at the cafeteria, but in a different order. On the last day, however, you can't help repeating a previous order. How many days did your vacation last? --------------- Depends on how many people.
 Exponential-and-logarithmic-functions/671139: Applying Logarithmic Properties and Change Of Base Solve for x: 6^4x=401 solutions Answer 417314 by Alan3354(30993)   on 2012-10-24 10:52:11 (Show Source): You can put this solution on YOUR website!Applying Logarithmic Properties and Change Of Base Solve for x: 6^4x=40 --------- Assuming 4x is the exponent: 4x*log(6) = log(40) Or x = log(40)/log(1296)
 Mixture_Word_Problems/671196: how much pure acid is in 780 milliliters of a 11% solution 1 solutions Answer 417313 by Alan3354(30993)   on 2012-10-24 10:45:58 (Show Source): You can put this solution on YOUR website!how much pure acid is in 780 milliliters of a 11% solution -------- 780*0.11 ml
 Trigonometry-basics/671141: please help me prove (1+6tan^2x)(1-sin^2x)=11 solutions Answer 417312 by Alan3354(30993)   on 2012-10-24 10:41:24 (Show Source): You can put this solution on YOUR website!please help me prove (1+6tan^2x)(1-sin^2x)=1 ----------- It doesn't.
 logarithm/671192: An equation relating the number of atoms, N, of radium at any time, t, in terms of the number of atoms, No, at t=0 is loge(N/No) = -kt, where is a constant. Solve for N.1 solutions Answer 417311 by Alan3354(30993)   on 2012-10-24 10:39:14 (Show Source): You can put this solution on YOUR website! loge(N/No) = -kt, where is a constant. Solve for N. --------- Log base e is ln, natural log. ln(N/No) = -kt, where is a constant. Solve for N.
 Graphs/671158: Write the equation x+1/3y in general form and identify A, B, and C.1 solutions Answer 417309 by Alan3354(30993)   on 2012-10-24 10:12:34 (Show Source): You can put this solution on YOUR website!Write the equation x+1/3y in general form and identify A, B, and C. --------------- No equal sign, so that's not an equation.
 Equations/671159: Simplify the ratio: 14.4 to 241 solutions Answer 417308 by Alan3354(30993)   on 2012-10-24 10:11:12 (Show Source): You can put this solution on YOUR website!duplicate
 test/671165: Simplify the patio 14.4 to 241 solutions Answer 417307 by Alan3354(30993)   on 2012-10-24 10:10:37 (Show Source): You can put this solution on YOUR website!Simplify the patio 14.4 to 24 ------ Maybe you mean ratio. 14.4/24 = 144/240 = 3/5 or 3 to 5
 Numeric_Fractions/671177: How do you solve 0.25 written in a fraction?1 solutions Answer 417306 by Alan3354(30993)   on 2012-10-24 10:09:09 (Show Source): You can put this solution on YOUR website!How do you solve 0.25 written in a fraction? ----------- It isn't solved, just written as a fraction. --- 0.25 = 25/100 = 1/4
 Percentage-and-ratio-word-problems/671180: A wheel makes 10 1/8 turns per minute. If it rotates for 52 minutes how many revoultions does the wheel make in 52 minutes?1 solutions Answer 417305 by Alan3354(30993)   on 2012-10-24 10:08:11 (Show Source): You can put this solution on YOUR website!A wheel makes 10 1/8 turns per minute. If it rotates for 52 minutes how many revoultions does the wheel make in 52 minutes? --------- = 52*10 1/8 or 52*10.125 revs
 Graphs/671175: Write a slope-intercept form 2x-5y=151 solutions Answer 417298 by Alan3354(30993)   on 2012-10-24 09:47:53 (Show Source): You can put this solution on YOUR website!Write a slope-intercept form 2x-5y=15 ------------ Solve for y
 Pythagorean-theorem/670982: A "wide screen" tv has an aspect ratio of 16:9. Find the length of a diagnol on a wide screen tv screen that has the same height as the screen in excersice 41 solutions Answer 417243 by Alan3354(30993)   on 2012-10-23 21:14:41 (Show Source): You can put this solution on YOUR website!A "wide screen" tv has an aspect ratio of 16:9. Find the length of a diagnol on a wide screen tv screen that has the same height as the screen in excersice 4 =============== I don't know what exercise 4 is.
 Functions/670916: let f(x) = -4 +8. write the rule for a new function g(x) as a vertical translation of f(x) three units down1 solutions Answer 417228 by Alan3354(30993)   on 2012-10-23 20:33:12 (Show Source): You can put this solution on YOUR website!let f(x) = -4 +8. write the rule for a new function g(x) as a vertical translation of f(x) three units down ------------- There's no x term in the function.
 Linear-systems/670912: Solve for y. -4(24 + 8y) = -64 1 solutions Answer 417216 by Alan3354(30993)   on 2012-10-23 20:10:54 (Show Source): You can put this solution on YOUR website!Solve for y. -4(24 + 8y) = -64 24 + 8y = 16 8y = -8 y = -1
 absolute-value/670950: Do we have to solve for "N"? -n-24=5-n Thank you. 1 solutions Answer 417215 by Alan3354(30993)   on 2012-10-23 20:07:47 (Show Source): You can put this solution on YOUR website!Do we have to solve for "N"? -n-24=5-n ================= I don't.
 Unit_Conversion_Word_Problems/670862: Each of the four sides of a swimmimg pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it completely? 1 solutions Answer 417178 by Alan3354(30993)   on 2012-10-23 18:58:50 (Show Source): You can put this solution on YOUR website!Each of the four sides of a swimmimg pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it completely? -------------- 9*9*5 cubic meters IF it's a square. ---- If it's a 9 by 9 parallelogram, you'll have to give more info.
 Word_Problems_With_Coins/670871: What is the total value of 245 ten dollar bills ? this is my other question: What is the total value of 245 hundred dollar bills? thanks please answer ASAP!!1 solutions Answer 417173 by Alan3354(30993)   on 2012-10-23 18:52:55 (Show Source): You can put this solution on YOUR website!What is the total value of 245 ten dollar bills ? Hint: Each bill = \$10 ----------------- this is my other question: What is the total value of 245 hundred dollar bills? Each bill = \$100
 Linear_Equations_And_Systems_Word_Problems/670873: I have a mixture system x+y=4 2x+7y=30(9) I want to sovle it by substitution. If I divide X in problem 2 by 2, would I divide 30 and 9 by 2? Or would I just divide 9 by 2? 1 solutions Answer 417169 by Alan3354(30993)   on 2012-10-23 18:48:04 (Show Source): You can put this solution on YOUR website!x+y=4 2x+7y=30(9) ------------- Is that 30*9? = 270?
 Linear-systems/670879: I'm not sure if I'm in the right place but here it goes. I can't seem to figure out this problem. You have to solve for 3 variable and you're given 3 equations, but I can't solve it. The problem is: x + y + z = 0 2x + 3y + 2z = -1 x - y + z = 2 1 solutions Answer 417167 by Alan3354(30993)   on 2012-10-23 18:46:30 (Show Source): You can put this solution on YOUR website!x + y + z = 0 2x + 3y + 2z = -1 x - y + z = 2 --------------- Add eqn 1 and 3 2x + 2z = 2 --> x + z = 1 ------------- 2x + 3y + 2z = -1 x - y + z = 2 times 3 --> 3x - 3y + 3z = 6 ---- 3x - 3y + 3z = 6 2x + 3y + 2z = -1 (eqn 2) ---------------------- Add 5x + 5z = 5 --> x + z = 1 ---- Same as the 1st result --> dependent, no unique solution.
 Linear-systems/670860: You are making a large triangular pennant for your school football team. The vertices of the triangle are (0,0), (0,50), and (70,20) where the coordinates are measured in inches. How many square feet of material will you need to make the pennant?1 solutions Answer 417156 by Alan3354(30993)   on 2012-10-23 18:22:21 (Show Source): You can put this solution on YOUR website!You are making a large triangular pennant for your school football team. The vertices of the triangle are (0,0), (0,50), and (70,20) where the coordinates are measured in inches. How many square feet of material will you need to make the pennant? --------------------- 2 points are on the y-axis --> b = 50 h = 70 Area = b*h/2 = 1750 sq inches = 1750/144 sq feet ------------ That's the area of the pennant. Realistically, you have to use 50*70 sq inches and cut the pennant from it. --> 3500/144 sq ft.
 Rational-functions/670850: What is the equation of the line parallel to the x-axis through the point (9,4)? Explain each step of your solution. 1 solutions Answer 417154 by Alan3354(30993)   on 2012-10-23 18:19:39 (Show Source): You can put this solution on YOUR website!What is the equation of the line parallel to the x-axis through the point (9,4)? Explain each step of your solution. ---------------- Parallel to the x-axis --> the y is constant. --> y = 4 Not many steps.
 Linear-equations/670790: What is the slope of the equation 2x-9y-15 ?1 solutions Answer 417108 by Alan3354(30993)   on 2012-10-23 16:55:16 (Show Source): You can put this solution on YOUR website!What is the slope of the equation 2x-9y-15 ? --------- There's no equal sign.
 test/670784: Write the equation the square root function, shifted 7 units to the left1 solutions Answer 417107 by Alan3354(30993)   on 2012-10-23 16:54:04 (Show Source): You can put this solution on YOUR website!Write the equation the square root function, shifted 7 units to the left -------------------- What is shifted?
 Travel_Word_Problems/670779: Al drove 50 miles in 30 minutes. jill drove 30 miles in 10 minutes. which person drove faster? how fast did each person drive?1 solutions Answer 417102 by Alan3354(30993)   on 2012-10-23 16:30:18 (Show Source): You can put this solution on YOUR website!Al drove 50 miles in 30 minutes. jill drove 30 miles in 10 minutes. which person drove faster? Al's speed = 50/30 = 5/3 mi/minute Jill's speed = 30/10 = 3 mi/minute = 9/3 mi/min Jill drove faster.
 Polynomials-and-rational-expressions/670713: I need help solving this equation into the a +bi form. (-2-4i)/I Please and thank you.1 solutions Answer 417066 by Alan3354(30993)   on 2012-10-23 14:18:06 (Show Source): You can put this solution on YOUR website!I need help solving this equation into the a +bi form. (-2-4i)/I -------------------- It's not an equation. Equations have equal signs. ------ (-2-4i)/i = (-2-4i)*i/i^2 = (-2i - 4i^2)/-1 = 2i + 4i^2 = -4 + 2i
 Equations/670686: have i done this right? the equation is -2x-5=3x-21 -3x -3x -5x-5=-21 +5 +5 -5x=-27 -5x\5=-27\5 x=-5.4 1 solutions Answer 417051 by Alan3354(30993)   on 2012-10-23 13:15:21 (Show Source): You can put this solution on YOUR website!have i done this right? the equation is -2x+6 = 3x-21 6 = 5x-21 27 = 5x x = 27/5 ================= -2x-5=3x-21 *** Not -2x-5 -3x -3x -5x-5=-21 +5 +5 -5x=-27 **** You added 5 to -21, = -16 not -27 -5x\5=-27\5 x=-5.4 **** Both sides are - --> x = 5.4
Volume/670562: Find the volume of cylinder of a height 4cm whose total surface area is 484sqcm
1 solutions

Answer 417045 by Alan3354(30993)   on 2012-10-23 11:35:50 (Show Source):
You can put this solution on YOUR website!
Find the volume of cylinder of a height 4cm whose total surface area is 484sqcm
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SA of a cylinder including top and bottom is

 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=324.123969825909 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.00172163846879, -11.0017216384688. Here's your graph:

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Ignore the -11 solution.
r = 7 (very close to 7)
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cc
Vol =~ 616 cc

Quadratic_Equations/670641: You toss a ball from 5 feet. The ball's velocity is 30 feet per second. You catch the ball at 6 feet. How long is the ball in the air?
1 solutions

Answer 417043 by Alan3354(30993)   on 2012-10-23 11:23:36 (Show Source):
You can put this solution on YOUR website!
You toss a ball from 5 feet. The ball's velocity is 30 feet per second. You catch the ball at 6 feet. How long is the ball in the air?
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h(t) = -16t^2 + 30t + 5
Solve for t at h(t) = 6 feet
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h(t) = -16t^2 + 30t + 5 = 6
-16t^2 + 30t - 1 = 0
 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=836 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.0339479815749399, 1.84105201842506. Here's your graph:

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The 1st solution is at 6 ft on its way up.
The 2nd is the total time requested.
t =~ 1.841 seconds

 test/670550: Why do you flip the sign of an inequality when multiply or dividing by a negative number?1 solutions Answer 417021 by Alan3354(30993)   on 2012-10-23 09:38:30 (Show Source): You can put this solution on YOUR website!Why do you flip the sign of an inequality when multiply or dividing by a negative number? ================= It gives the correct result. ------- eg -x > 1 x < -1 -------- Another method: -x > 1 Add x 0 > x + 1 Subtract 1 -1 > x x < -1 same answer