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 Travel_Word_Problems/596418: A car travels at an average speed of 56 miles per hour. How long does it take to travel 182 miles?1 solutions Answer 377726 by Alan3354(30993)   on 2012-04-08 15:19:23 (Show Source): You can put this solution on YOUR website!A car travels at an average speed of 56 miles per hour. How long does it take to travel 182 miles? -------------- d = r*t t = d/r
 logarithm/596428: rewrite as single logarithm log3 2+log3 41 solutions Answer 377725 by Alan3354(30993)   on 2012-04-08 15:18:36 (Show Source): You can put this solution on YOUR website! rewrite as single logarithm log3 2+log3 4 ------- Adding logs, or exponents, --> multiplication ------ =
 Equations/596420: Find a : 1 solutions Answer 377723 by Alan3354(30993)   on 2012-04-08 15:13:38 (Show Source): You can put this solution on YOUR website!Find a : ----------
 Polynomials-and-rational-expressions/596405: Write all of the following statement(s) that apply to the following polynomial: -8x + 2x^2 – 3 It is a binomial. It can be evaluated at x = -1/3 It has a coefficient of 8. It is quadratic. 1 solutions Answer 377721 by Alan3354(30993)   on 2012-04-08 15:10:47 (Show Source): You can put this solution on YOUR website!Write all of the following statement(s) that apply to the following polynomial: -8x + 2x^2 – 3 It is a binomial. ******************* It's a trinomial, it has 3 terms. It can be evaluated at x = -1/3 **** That's true, but it can be evaluated for x = any number. --------------- It has a coefficient of 8. **** It also has other coefficients. It is quadratic. ---------------- There are other things that can be said. "Write all..." is not a reasonable request.
Complex_Numbers/596404: find the complex zeros of the polynomial function write f in the factored form. x^3+216
so far I have done:
x^3 + 6^3
(a+b)(a^2-ab+b^2) = (x+6)(x^2-6x+36)
quadratic formula: -b plus or minus square root (b^2 - 4 * a * c)/2
6 +- square root (36 - 144)/2
I am confused on the simplified answer not the math in general so would I leave
6 +- square root 108 in that form divided by 2 or what?
1 solutions

Answer 377716 by Alan3354(30993)   on 2012-04-08 14:23:16 (Show Source):
You can put this solution on YOUR website!
find the complex zeros of the polynomial function write f in the factored form. x^3+216
so far I have done:
x^3 + 6^3
(a+b)(a^2-ab+b^2) = (x+6)(x^2-6x+36)
quadratic formula: -b plus or minus square root (b^2 - 4 * a * c)/2
6 +- square root (36 - 144)/2
I am confused on the simplified answer not the math in general so would I leave
6 +- square root 108 in that form divided by 2 or what?
-----------
-------
If you meant x^3 + 216 = 0, then

x = -6
-----

 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 -108 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 -108 is + or - . The solution is , or Here's your graph:

========================

 Linear-equations/596401: what is the slope intercept form of this linear equation 8x + 4y = 51 solutions Answer 377714 by Alan3354(30993)   on 2012-04-08 14:16:26 (Show Source): You can put this solution on YOUR website!what is the slope intercept form of this linear equation 8x + 4y = 5 ---------- Solve for y. You get y = .......... That's all there is to it.
 Graphs/596374: Greeting, Would u pls help me with this: Divide and simplify: {{(a-4)(a+3)/a^2-a} ÷ {2(a-4)/(a+3)(a-1)}} Thanks a lot, H.H P.S:(This is the 2nd time that I am submitting this problem without receiving any answer :is it so difficult that no one could even try to solve it?) 1 solutions Answer 377705 by Alan3354(30993)   on 2012-04-08 12:03:32 (Show Source): You can put this solution on YOUR website! Divide and simplify: ----- Invert the divisor and multiply. Cancel whatever you can. ------ It's an easy problem. If you show your efforts, someone will help and correct it if necessary. Tutoring is not doing it for you.
 Trigonometry-basics/596360: Find an angle between 0 and 2pie that is co-terminal with (13pie)/(4). 1 solutions Answer 377703 by Alan3354(30993)   on 2012-04-08 11:04:34 (Show Source): You can put this solution on YOUR website!Find an angle between 0 and 2pie that is co-terminal with (13pie)/(4). ------------- Pie is a dessert. Use pi, the Greek letter. ---------- Subtract 2pi repeatedly until the result is <= 2pi 13pi/4 - 2pi = 5pi/4 done.
 Mixture_Word_Problems/591308: You have on hand 800g of 5% coal tar ointment and 1200g of 10% coal tar ointment? How many grams of coal tar should be added to the product to obtain an ointment containing 15% coal tar? The right answer 16.5g. But I cannot solve it. I know 100% is mixed.1 solutions Answer 377702 by Alan3354(30993)   on 2012-04-08 10:47:52 (Show Source): You can put this solution on YOUR website!You have on hand 800g of 5% coal tar ointment and 1200g of 10% coal tar ointment? How many grams of coal tar should be added to the product to obtain an ointment containing 15% coal tar? The right answer 16.5g. But I cannot solve it. I know 100% is mixed. ------------------- If the 5% and the 10% are mixed: --> 2000 gm of p% 2000*p = 800*5 + 1200*10 = 16000 p = 8% --------- Add 100% to get some amount of 10% x*100 + 8*2000 = (x + 2000)*15 100x + 16000 = 15x + 30000 85x = 14000 x =~ 164.7 grams ------------ 10 times what you say is the answer ??? ========== The other tutor is just spouting gibberish, tho.
 Points-lines-and-rays/596325: One radius of a circle has endpoints D(2,4) and E(-1,2). a)Find a possible endpoint for the diameter that contains this radius. b) Explain why there are two possible answers in part a)1 solutions Answer 377701 by Alan3354(30993)   on 2012-04-08 10:41:18 (Show Source): You can put this solution on YOUR website!One radius of a circle has endpoints D(2,4) and E(-1,2). a)Find a possible endpoint for the diameter that contains this radius. ------------ Find the x & y differences separately dx = 3, dy = 2 ========= Add the differences to D and subtract from E D --> F(5,6) E --> G(-4,0) F & G are the 2 possible points on the diameter. ----------------- b) Explain why there are two possible answers in part a) Either point, D or E, could be the center.
 test/596320: Can you please refresh my memory on algebra so I can pass the compass placement test for college!?!?1 solutions Answer 377700 by Alan3354(30993)   on 2012-04-08 10:33:12 (Show Source): You can put this solution on YOUR website!Can you please refresh my memory on algebra so I can pass the compass placement test for college!?!? -------------- The only person who can refresh your memory is you.
 Mixture_Word_Problems/593923: Four equal amount of belladonna exact containing 1.15%. 1.3%, 1.35% and 1.2% alkaloid, were mixed. What was the percentage strength of the mixture? 1 solutions Answer 377699 by Alan3354(30993)   on 2012-04-08 10:31:24 (Show Source): You can put this solution on YOUR website!Four equal amount of belladonna exact containing 1.15%. 1.3%, 1.35% and 1.2% alkaloid, were mixed. What was the percentage strength of the mixture? ------------- It's the average of the 4. = (1.15 + 1.3 + 1.35 + 1.2)/4 = 1.25%
 Radicals/596328: use rational exponents to write x^1/5*y1/3*z1/9 as a single radical expression1 solutions Answer 377698 by Alan3354(30993)   on 2012-04-08 10:25:02 (Show Source): You can put this solution on YOUR website!use rational exponents to write x^1/5*y1/3*z1/9 as a single radical expression ------------ Find a common index, similar to common denominators. --> 45 -------- x^1/5*y1/3*z1/9 = (x^9)^(1/45) * (y^15)^(1/45) * (z^5)^(1/45) = (x^9y^15z^5)^(1/45) = -------- I think that's what you meant.
 Triangles/596355: 10. Two angles of a triangle have measures of 45° and 75°. Which of the following could not be a measure of an exterior angle of the triangle? 60° 105° 135° 120° 1 solutions Answer 377696 by Alan3354(30993)   on 2012-04-08 10:19:11 (Show Source): You can put this solution on YOUR website!10. Two angles of a triangle have measures of 45° and 75°. Which of the following could not be a measure of an exterior angle of the triangle? 60° 105° 135° 120° =========== Find the 3rd angle. Then subtract each of the 3 angles from 180 to find the exterior angles.
 Miscellaneous_Word_Problems/596358: How do I graph this? I have been trying and I am drawing a blank Air Pollution the amount of mitrogen dioxide A in parts per million (PPM) that presetn in the air in the city of homer on a certain day in june is modeled by the function a(t)=-2t^2+32t+12 Where t is the number of hours after 6:00 am use this function to find the time at which the nitrogen dioxide level was at its maximum. t-value at max: t = -b/(2a) t = -32/(2(-2)) t = -32/(-4) t = 8 hours . 6:00 am + 8 hours = 2 pm 1 solutions Answer 377695 by Alan3354(30993)   on 2012-04-08 10:18:02 (Show Source): You can put this solution on YOUR website!How do I graph this? I have been trying and I am drawing a blank Air Pollution the amount of mitrogen dioxide A in parts per million (PPM) that presetn in the air in the city of homer on a certain day in june is modeled by the function a(t)=-2t^2+32t+12 Where t is the number of hours after 6:00 am use this function to find the time at which the nitrogen dioxide level was at its maximum. t-value at max: t = -b/(2a) t = -32/(2(-2)) t = -32/(-4) t = 8 hours . 6:00 am + 8 hours = 2 pm -------------- Your answer is right. To graph it, pick values of t and find corresponding values of a(t). Plot the points and draw a curve thru them.
 Money_Word_Problems/596357: If You deposit money into an account that pays 4.5% annual interest. If the account is compounded YEARLY, how long will it take for you account to double in value? If the account is compounded CONTINUOUSLY, how long will it take for the account to double in value? 1 solutions Answer 377694 by Alan3354(30993)   on 2012-04-08 10:03:23 (Show Source): You can put this solution on YOUR website!If You deposit money into an account that pays 4.5% annual interest. If the account is compounded YEARLY, how long will it take for you account to double in value? If the account is compounded CONTINUOUSLY, how long will it take for the account to double in value? ----------- Yearly: 2*Amt = Amt*(1.045)^n 1.045^n = 2 n*log(1.045) = log(2) n = log(2)/log(1.045) n =~ 15.747 years ---------- Continuous: 2 = e^(rn) = e^0.045n ln(2) = 0.045n n = ln(2)/0.045 n =~ 15.403 years
 Linear-equations/596327: please help me solve this linear equation: y = -6x - 2, find the y-coordinates of the points (-1,), (-2,) and (1,).1 solutions Answer 377692 by Alan3354(30993)   on 2012-04-08 09:50:44 (Show Source): You can put this solution on YOUR website!y = -6x - 2, find the y-coordinates of the points (-1,), (-2,) and (1,). ---------- Use (-1,y), (-2,y) and (1,y). ----------------- Sub the value for x and find y. y = -6x - 2 (-1,y) y = -6*(-1) - 2 = 4 --> (-1,4) ============ Do the others the same way.
 Quadratic_Equations/596352: Twice the first number is increased by the second number is 16. Find the two numbers if the sum of their squares is a minimum. Pleassse help 1 solutions Answer 377690 by Alan3354(30993)   on 2012-04-08 09:27:02 (Show Source): You can put this solution on YOUR website!Twice the first number is increased by the second number is 16. Find the two numbers if the sum of their squares is a minimum. ------------- 2x + y = 16 x^2 + y^2 = s ---------- y = 16 - 2x x^2 + (16-2x)^2 = s x^2 + 4x^2 - 64x + 256 = s 5x^2 - 64x + 256 = s ------- That's a parabola. Since the coefficient of the x^2 term is +, it opens upward and has a minumum. The minimum is the vertex. The vertex is on the LOS (Line of Symmetry). The equation for the line of symmetry is x = -b/2a x = 64/10 = 6.4 ------- 2x + y = 16 --> y = 3.2 ----------- The answer is 6.4 & 3.2
 Quadratic_Equations/596350: Using the quadratic formula When the sum of 1 and twice a negative number is subtracted twice the square of the number, 0 results. Find the number. 1 solutions Answer 377689 by Alan3354(30993)   on 2012-04-08 09:21:18 (Show Source): You can put this solution on YOUR website!I think there's a word missing.
 Linear-equations/596331: Please help me solve this problem. what is the slope of the line containing the pair of points. (-1, -3 )and (-1, -5) this this undefined or defined?1 solutions Answer 377688 by Alan3354(30993)   on 2012-04-08 09:02:06 (Show Source): You can put this solution on YOUR website! what is the slope of the line containing the pair of points. (-1, -3 )and (-1, -5) --------- slope m = diffy/diffx
 Triangles/596347: An isosceles triangle is such that each of the base angles is twice the vertical angle. Find the angles of the triangle.1 solutions Answer 377687 by Alan3354(30993)   on 2012-04-08 08:58:33 (Show Source): You can put this solution on YOUR website!An isosceles triangle is such that each of the base angles is twice the vertical angle. Find the angles of the triangle. -------- I think you mean vertex angle. ---- V + B + B = 180 V + 2V + 2V = 180 5V = 180 V = 36 B = 72
 Travel_Word_Problems/596340: Two planes left San Fransico at 3pm. One went east at a certain speed and the other went south at a speed that was 75 Kilometers per hour more than the plane heading east. The planes were 1800 kilometers apart at 5pm. How fast was each plane flying. (round to 2 decimal points)1 solutions Answer 377685 by Alan3354(30993)   on 2012-04-08 08:53:34 (Show Source): You can put this solution on YOUR website!Two planes left San Fransico at 3pm. One went east at a certain speed and the other went south at a speed that was 75 Kilometers per hour more than the plane heading east. The planes were 1800 kilometers apart at 5pm. How fast was each plane flying. (round to 2 decimal points) --------------- Solve for r, the rate of the slower plane going East.
 Quadratic_Equations/596351: After having a pool built in their backyard, the Harrisons have contracted to have a fence installed around the pool. They want to use 300 ft of fencing, and they plan to attatch the fence to the house. The Back of the house is 90 ft long, but they have instructed the fencing co. to use whatever portion of the house will maximize the area of the rectangular enclosure. I know how to maximize the area, the only thing that is tripping me up is the fact that one side can be any value from the 90 ft side of the house. How do you set up an equation like that?1 solutions Answer 377684 by Alan3354(30993)   on 2012-04-08 08:49:58 (Show Source): You can put this solution on YOUR website!After having a pool built in their backyard, the Harrisons have contracted to have a fence installed around the pool. They want to use 300 ft of fencing, and they plan to attatch the fence to the house. The Back of the house is 90 ft long, but they have instructed the fencing co. to use whatever portion of the house will maximize the area of the rectangular enclosure. I know how to maximize the area, the only thing that is tripping me up is the fact that one side can be any value from the 90 ft side of the house. How do you set up an equation like that? --------------- The max area of a rectangle with one side fixed is having the long side 2x the short sides. That would be 75 by 150 in this case. ------- Since the house is less than 150 ft, that will be one dimension of the rectangle. --> 90 by 105 feet
 Polynomials-and-rational-expressions/596318: How do you factor -x^2+10x-211 solutions Answer 377682 by Alan3354(30993)   on 2012-04-08 08:45:22 (Show Source): You can put this solution on YOUR website!How do you factor -x^2+10x-21 ----------- If it makes it easier, = -(x^2 - 10x + 21) Try the factors of 21
 Equations/596349: can you please tell me how to solve 12x-19=8x+1 i dont know what to do first1 solutions Answer 377681 by Alan3354(30993)   on 2012-04-08 08:41:22 (Show Source): You can put this solution on YOUR website!12x-19=8x+1 ---------- Add 19 Subtract 8x Divide by 4 ============== You can do the steps in any order, but if you divide 1st you have to deal with fractions. The thing is, just do something. What will happen if you do the wrong thing? Nothing, you just start over.
 Points-lines-and-rays/596324: A farmer is building a circular corral to hold livestock. With distance measured in meters, the shape of the corral is modeled by the equation x2 + y2 = 64 <-- the 2s are exponents. (Equation for a circle) a) Find the length of fencing required for this corral.1 solutions Answer 377680 by Alan3354(30993)   on 2012-04-08 08:38:35 (Show Source): You can put this solution on YOUR website!the shape of the corral is modeled by the equation x2 + y2 = 64 <-- the 2s are exponents. ------------- The radius is 8. C = 2pi*r
 Linear-equations/596330: Please help me solve this: What is the x- and y- intercepts for this equation. -x + 2y = 41 solutions Answer 377679 by Alan3354(30993)   on 2012-04-08 08:36:21 (Show Source): You can put this solution on YOUR website!What is the x- and y- intercepts for this equation. -x + 2y = 4 ---------------- At the y-int, x = 0, and vice versa.
 Quadratic_Equations/596345: A toy rocket is launched from ground level. Its distance in feet from the ground in t seconds is given by s (t) = - 16 t 2 + 208 t At what times will the rocket be 550 feet from the ground?1 solutions Answer 377678 by Alan3354(30993)   on 2012-04-08 08:35:03 (Show Source): You can put this solution on YOUR website!A toy rocket is launched from ground level. Its distance in feet from the ground in t seconds is given by s (t) = - 16 t 2 + 208 t At what times will the rocket be 550 feet from the ground? ------------ s(t) = -16t^2 + 208 t s(t) = -16t^2 + 208 t = 55 -16t^2 + 208 t - 55 = 0 Solve for t It'll be at 550 ft going up, and again coming down.
 Probability-and-statistics/596286: Please help me to find the correct answers at this question: The diagram at right illustrates the logic of hypothesis testing. Note that in the diagram, type I error has been labeled as Be sure in your answer to identify: a. curve 1 b. curve 2 c. Area A d. Area B e. Area C. Short calculation Questions: Also, here is the graph, I think that you could see it. Thank you very much, Tutors make a great job. 1 solutions Answer 377667 by Alan3354(30993)   on 2012-04-07 23:07:11 (Show Source): You can put this solution on YOUR website!No diagram is shown.
 Travel_Word_Problems/596254: Two radio antenna towers stand perpendicular to level ground and 50m apart. Two support wires are strung from the base of one tower to the top of the other. If the towers are 20m and 30m high, how high above the ground is the point where the support wires intersect each other?1 solutions Answer 377654 by Alan3354(30993)   on 2012-04-07 21:30:41 (Show Source): You can put this solution on YOUR website!Two radio antenna towers stand perpendicular to level ground and 50m apart. Two support wires are strung from the base of one tower to the top of the other. If the towers are 20m and 30m high, how high above the ground is the point where the support wires intersect each other? --------------- 20*30/(20+30) = 12 meters ------------ The distance between them doesn't affect the answer.
 test/596159: 1 solutions Answer 377625 by Alan3354(30993)   on 2012-04-07 18:06:11 (Show Source): You can put this solution on YOUR website!I'm gonna guess cattle.