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# Recent problems solved by 'Alan3354'

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 Exponents-negative-and-fractional/601496: Evaluate: 3 to the -4 power divided by 3 to the -7 power. I forgot how you do this. Thanks! 1 solutions Answer 379799 by Alan3354(30993)   on 2012-04-20 17:34:47 (Show Source): You can put this solution on YOUR website!Multiply NUM and Den by 3^7
 Polynomials-and-rational-expressions/601490: The area of a rectangular athletic field is represented by the expression -8y^9 - 32z^4 + 56x^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution. The furthest I know is that a common factor is 8? Please help! Thank you!1 solutions Answer 379790 by Alan3354(30993)   on 2012-04-20 17:05:52 (Show Source): You can put this solution on YOUR website!The area of a rectangular athletic field is represented by the expression -8y^9 - 32z^4 + 56x^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution. The furthest I know is that a common factor is 8? ------- You can use 8 --> 8*(y^9 - 4z^4 + 7x^2) sq meters or 8 meters by y^9 - 4z^4 + 7x^2 meters -------------- Another is 0.1 meters by 80y^9 - 320z^4 + 560x^2 meters
 Polynomials-and-rational-expressions/601396: Form a polynomial whosezeros and degrees are given. Zeros:-3,-2,3; degree 3 A)f(x)=x^3-2x^2-9x+18 for a= 1 B)f(x)=x^3+2x^2-9x-18 for a= 1 C)f(x)=x^3-2x^2+9x-18 for a= 1 D)f(x)=x^3+2x^2+9x+18 for a= 11 solutions Answer 379788 by Alan3354(30993)   on 2012-04-20 17:01:44 (Show Source): You can put this solution on YOUR website!Form a polynomial whosezeros and degrees are given. Zeros:-3,-2,3; degree 3 ---------- Each zero, eg, z, contributes a factor (x - z) Multiply (x+3)*(x-3)*(x+2) --------------- = = B ---- I don't know what the a= 1 means.
 Miscellaneous_Word_Problems/601451: A bag contains a total of 20 batteries, of which six are defective. Selecting two at random, without replacement, determine the probability that none of the batteries you select are good. Show all work. 3/5 3/10 3/38 9/1001 solutions Answer 379772 by Alan3354(30993)   on 2012-04-20 15:42:09 (Show Source): You can put this solution on YOUR website!A bag contains a total of 20 batteries, of which six are defective. Selecting two at random, without replacement, determine the probability that none of the batteries you select are good. ------------------- The 1st one is 6/20 The 2nd one is 5/19 ---- (6/20)*(5/19) = 3/38
 Quadratic_Equations/601432: Solve the Equation. x-10^x+24=01 solutions Answer 379770 by Alan3354(30993)   on 2012-04-20 15:30:12 (Show Source): You can put this solution on YOUR website!Solve the Equation. x-10^x+24=0 ------------- Using numerical/graphing methods: x =~ 1.41501103349
 Triangles/601454: what is x when side lengths 5, 10 and x make an acute triangle?1 solutions Answer 379768 by Alan3354(30993)   on 2012-04-20 15:18:33 (Show Source): You can put this solution on YOUR website!what is x when side lengths 5, 10 and x make an acute triangle? -------------- x has to be greater than 5 to make any triangle (10 - 5). x has to be less than the value that makes a right triangle. x for a right triangle is sqrt(10^ - 5^2) = 5sqrt(3) ------------- 5 < x < 5sqrt(3)
Equations/601453: This problem is 8x squared minus 3 equals 10x or 8x^2-3=10x
Then it says solve. Please help. Thank you. I feel like I should get everything on one side and set it to 0 but, from there on I'm not sure what to do.
1 solutions

Answer 379767 by Alan3354(30993)   on 2012-04-20 15:05:20 (Show Source):
You can put this solution on YOUR website!
This problem is 8x squared minus 3 equals 10x or 8x^2-3=10x
Then it says solve. Please help. Thank you. I feel like I should get everything on one side and set it to 0 but, from there on I'm not sure what to do.
------------
That is step 1.

Then you can factor it.
(2x - 3)*(4x + 1) = 0
-----
2x-3 = 0
x = 3/2
-----
4x+1 = 0
x = -1/4
==========
If it can't be factored, use the quadratic equation
 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=196 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1.5, -0.25. Here's your graph:

 Surface-area/601425: Find the lateral area and surface area of a cube with edge length 10cm. Round to the nearest tenth, if necessary.1 solutions Answer 379765 by Alan3354(30993)   on 2012-04-20 14:58:05 (Show Source): You can put this solution on YOUR website!Find the lateral area and surface area of a cube with edge length 10cm. Round to the nearest tenth, if necessary. ------------ A cube has 6 faces. Each of them would be 100 sq cms.
 Linear-systems/601438: Hi, I have another one: x y=3x-8 I have to find three ordered pairs that satisfy this equation using 1) x=0 2) x=1 3) x=2 Are these answers right? 1) y = -8 2) y = -5 3) y = -2 if these are wrong can you show me step by step how you got the answer. 1 solutions Answer 379761 by Alan3354(30993)   on 2012-04-20 14:10:58 (Show Source): You can put this solution on YOUR website!They're correct.
 Travel_Word_Problems/601437: a bee flew for 10 seconds.and traveled 100 cm.how far can it travel in 20 seconds?1 solutions Answer 379760 by Alan3354(30993)   on 2012-04-20 14:08:39 (Show Source): You can put this solution on YOUR website!a bee flew for 10 seconds.and traveled 100 cm.how far can it travel in 20 seconds? --------------- Assuming it's the same speed, twice the time --> twice the distance.
 Inequalities/601434: Hi can you please help me figure this problem. I am solving for x and y. the equation is {(3x+4y=48,x-y=2) this is how the teacher wrote it out on my assignment. The answers given were x=40 and y=42 I need to understand how these numbers were gotten and the book is no help. I am visual and there are no examples close to this problem. 1 solutions Answer 379759 by Alan3354(30993)   on 2012-04-20 13:46:50 (Show Source): You can put this solution on YOUR website! the equation is {(3x+4y=48,x-y=2) this is how the teacher wrote it out on my assignment. The answers given were x=40 and y=42 I need to understand how these numbers were gotten and the book is no help. I am visual and there are no examples close to this problem. ------------- Firstly, that's not an equation. It's 2 equations, called a system of equations. ------------ 2nd, 40 & 42 are not the answers. ----------- 3x+4y=48 x-y=2 --> x = y+2 ---- Sub for x in the 1st eqn 3(y+2) + 4y = 48 6y+6 + 4y = 48 7y = 42 y = 6 ------ x = y+2 x = 8
 Polynomials-and-rational-expressions/601423: Answer to 6a^2-a-351 solutions Answer 379758 by Alan3354(30993)   on 2012-04-20 13:42:54 (Show Source): You can put this solution on YOUR website!Answer to 6a^2-a-35 ---------- What is the question?
 Travel_Word_Problems/601429: a ski lift carried Paul up a slope at rate of 6 km/h, and he skied back down parallel to the lift at 34 km/h. The round trip took 30 minutes. How far did he ski and for how long???1 solutions Answer 379754 by Alan3354(30993)   on 2012-04-20 13:35:38 (Show Source): You can put this solution on YOUR website!a ski lift carried Paul up a slope at rate of 6 km/h, and he skied back down parallel to the lift at 34 km/h. The round trip took 30 minutes. How far did he ski and for how long??? ----------- The average speed of the round trip is 2*6*34/(6+34) = 10.2 km/hr ------------ RT distance = 10.2*0.5 = 5.1 km ------ 2.55 km skiing t = d/r = 2.55/34 = 0.075 hr or 4.5 minutes skiing
 Graphs/601360: what is an inequality, in slope-intercept form, for the graph with the points (1,1) and (0,-2)?1 solutions Answer 379718 by Alan3354(30993)   on 2012-04-20 09:06:54 (Show Source): You can put this solution on YOUR website!what is an inequality, in slope-intercept form, for the graph with the points (1,1) and (0,-2)? ------------------- You can find an equation of the line thru the 2 points. ---- Find the slope, m m = diffy/diffx = -3/-1 m = 3 ------ The y-intercept is one of the points, (0,-2) That makes the equation y = 3x - 2 ============ Not sure what you mean about "an inequality"
 Geometry_Word_Problems/601322: On a directional compass how many degrees are between East and South-West? 1 solutions Answer 379717 by Alan3354(30993)   on 2012-04-20 08:58:02 (Show Source): You can put this solution on YOUR website!On a directional compass how many degrees are between East and South-West? ------------ East is 090 Southwest is 225 --> 135 degrees if you turn clockwise, 225 the other direction.
 Probability-and-statistics/601209: number 32 on 12-3 on the algebra 2 book for california1 solutions Answer 379662 by Alan3354(30993)   on 2012-04-19 21:25:49 (Show Source): You can put this solution on YOUR website!number 32 on 12-3 on the algebra 2 book for california ----------- I don't have that book.
 Trigonometry-basics/601186: the value of arc tan (√3/3)is ? (1) 30 (2) 60 (3) 45 (4) 901 solutions Answer 379658 by Alan3354(30993)   on 2012-04-19 21:13:33 (Show Source): You can put this solution on YOUR website!the value of arc tan (√3/3)is ? ------ 30 degs
 Travel_Word_Problems/601188: A man travels 800 miles in 144 minutes. How fast was his speed?1 solutions Answer 379644 by Alan3354(30993)   on 2012-04-19 20:50:55 (Show Source): You can put this solution on YOUR website!A man travels 800 miles in 144 minutes. How fast was his speed? ---------- If you mean "What was his speed?", then d = r*t r = d/t = 800/144 r = 50/9 miles per minute
 Probability-and-statistics/601199: How do I answer this problem? 65-15>20-=1 solutions Answer 379642 by Alan3354(30993)   on 2012-04-19 20:49:29 (Show Source): You can put this solution on YOUR website!How do I answer this problem? 65-15>20-= ----------- What is it you want to do? 65-15>20-= has and inequality and an equal sign. Makes no sense.
 Trigonometry-basics/601229: i cant get the answer for this one please help me. express cos 136 degrees as a function of a positive acute angle1 solutions Answer 379640 by Alan3354(30993)   on 2012-04-19 20:46:54 (Show Source): You can put this solution on YOUR website!express cos 136 degrees as a function of a positive acute angle cos(136) = -sin(46)
 Trigonometry-basics/601201: greetings im in desperate need of help with this problem.i will comment and like your profile guaranteed and please show the work. find all values of ⊖ in the interval 0°≤ ⊖ < 360° that satisfy the equation 2cos²⊖ = cos ⊖ + 1 1 solutions Answer 379627 by Alan3354(30993)   on 2012-04-19 20:08:45 (Show Source): You can put this solution on YOUR website!find all values of ⊖ in the interval 0°≤ ⊖ < 360° that satisfy the equation 2cos²⊖ = cos ⊖ + 1 ----------------- Sub x for cos(theta) 2x^2 = x + 1 2x^2 - x - 1 = 0 (2x + 1)*(x - 1) = 0 x = 1 cos = 1 theta = 90 degs ----------- x = cos = -1/2 theta = 120, 240 degs
 test/601025: Need the answer to 8c-4=7c and steps1 solutions Answer 379569 by Alan3354(30993)   on 2012-04-19 14:03:06 (Show Source): You can put this solution on YOUR website!Need the answer to 8c-4=7c and steps --------- Add 4 Subtract 7c
 Trigonometry-basics/601004: Hi. How do I find the exact numerical value of the expression sin120degrees cos150degrees - tan^2 135degrees? thanks.1 solutions Answer 379565 by Alan3354(30993)   on 2012-04-19 13:54:58 (Show Source): You can put this solution on YOUR website!How do I find the exact numerical value of the expression sin120degrees cos150degrees - tan^2 135degrees? ------------ sin(120) = sqrt(3)/2 cos(150) = -sqrt(3)/2 tan(135) = -1
 Exponents-negative-and-fractional/601024: how would i go about solcing (4/5) ^-21 solutions Answer 379564 by Alan3354(30993)   on 2012-04-19 13:48:56 (Show Source): You can put this solution on YOUR website!how would i go about solcing (4/5) ^-2 ----------------- There's no variable and no equal sign, so there's nothing to solve. You can simplify it.
 Polynomials-and-rational-expressions/601035: Find the midpoint between the two points: (2,2), (6,4) this is as far as i get (6 - 2)^2 + (4 - 2)^2 4x4 + 2x2 16 + 4 = sqrt20 then i dont know what else to do. can somwone help finish the problem and tell me if i am doing it right1 solutions Answer 379562 by Alan3354(30993)   on 2012-04-19 13:42:42 (Show Source): You can put this solution on YOUR website!Find the midpoint between the two points: (2,2), (6,4) this is as far as i get (6 - 2)^2 + (4 - 2)^2 4x4 + 2x2 16 + 4 = sqrt20 then i dont know what else to do. can somwone help finish the problem and tell me if i am doing it right ---------------- Sqrt(20) is the distance between the 2 points. --- To find the midpoint, find the average of x & y separately. x: (2+6)/2 = 4 y: (2+4)/2 = 3 --> (4,3)
 Equations/600988: Write one possible equation for a line parallel to the graph of f(x)=3/2x-51 solutions Answer 379560 by Alan3354(30993)   on 2012-04-19 13:17:34 (Show Source): You can put this solution on YOUR website!Write one possible equation for a line parallel to the graph of f(x)=3/2x-5 ---------- All parallel lines have the same slope, 3/2 in this case. y = (3/2)x + k where k is any number is parallel.
 Numbers_Word_Problems/600955: find three consecutive even number if thier sum 9661 solutions Answer 379548 by Alan3354(30993)   on 2012-04-19 10:45:14 (Show Source): You can put this solution on YOUR website!find three consecutive even number if thier sum 966 ---------- 966/3 = 322, the middle number. --- Or n-2 + n + n+2 = 966 3n = 966 etc
 Travel_Word_Problems/600978: If you are going up a hill.. at a 45 degree angle… at 60mph… how long will it take you to go 60 miles? 1 solutions Answer 379547 by Alan3354(30993)   on 2012-04-19 10:39:33 (Show Source): You can put this solution on YOUR website!If you are going up a hill.. at a 45 degree angle… at 60mph… how long will it take you to go 60 miles? -------------- It's 60 miles at 60 miles per hour. d = r*t t = d/r