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# Recent problems solved by 'jim_thompson5910'

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 Number-Line/389156: I need help finding another example about finding distance using a number line. This is the example my teacher gave: Michael sees mile marker 237 when he enters the highway and mile marker 159 when he exits, how far did he travel? He travelled 78 miles. We are not allowed to use the example of mile markers.1 solutions Answer 275670 by jim_thompson5910(28476)   on 2010-12-28 18:27:42 (Show Source): You can put this solution on YOUR website!How about this: Michael sees a sign that reads "Town A: 150 miles" (ie the distance he is from Town A is 150 miles) and a few hours later he comes upon another sign that reads "Town A: 72 miles". How far has he traveled? Simply subtract the two figures to get 150-72 = 78. So he has traveled 78 miles. Of course, you can change the numbers to make the distance a different number. For instance, the two numbers could be 200 and 143 giving you a distance of 200-143=57 miles.
 Volume/389161: find the volume of a sphere with a 3inch radius(use3.14)1 solutions Answer 275669 by jim_thompson5910(28476)   on 2010-12-28 18:24:00 (Show Source): You can put this solution on YOUR website! Start with the volume of a sphere formula. Plug in . Replace with (note: Use more digits of to get better accuracy). Cube to get . Multiply and to get Multiply and to get So the volume is approximately 113.04 cubic inches.
 Volume/389159: hi find the volume of a cone thats 9inches high and has a 3inch radius(use3.14) Thank-U1 solutions Answer 275668 by jim_thompson5910(28476)   on 2010-12-28 18:21:15 (Show Source): You can put this solution on YOUR website! Start with the volume of a cone formula. Plug in and Replace with (note: Use more digits of to get better accuracy). Square to get Multiply and to get (this figure is approximate). Multiply and to get (again, this is approximate). Multiply and to get So the volume of the cone with radius of inches and height of inches is approximately cubic inches.
 Polynomials-and-rational-expressions/388794: please let me know if this is correct(factoring polinomials). 9-x^2. 3^2=9. -x*-x=x^2. -(x-3)(x+3) = 9-x^2. are these the correct steps to factoring this polynomial. juan1 solutions Answer 275215 by jim_thompson5910(28476)   on 2010-12-26 02:53:19 (Show Source): You can put this solution on YOUR website!You are correct,
 Equations/388790: Write an equation for the sentence below: The difference of twice a number and 16 is equal to the quotient of three times the number and 8 I got 2x-16 = 3x÷8 is this a right way to write it or not.. my book doesn't cover problems that are like this for equation writting.. Thanks for your time xoxo1 solutions Answer 275204 by jim_thompson5910(28476)   on 2010-12-25 21:07:44 (Show Source): You can put this solution on YOUR website!You are correct. You may also write it as If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Inequalities/388784: Find the solution set of the equation |2x - 10| + 7 = 5.1 solutions Answer 275188 by jim_thompson5910(28476)   on 2010-12-25 19:02:07 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract 7 from both sides. Since the expression is never true (note: remember, the absolute value of any number is always positive), there are no solutions to So there are no solutions to the given equation. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Money_Word_Problems/388776: If $2500 is invested at a rate of 11% compounded continuously, find the balance in the account after 4 years. Use the formula A=Pe^rt. a.3795.18 b.3881.77 c.4333.13 d.18472.64 *the answers I'm getting do not match the answers above. please help. 1 solutions Answer 275182 by jim_thompson5910(28476) on 2010-12-25 17:39:34 (Show Source): You can put this solution on YOUR website! Start with the continuous compounding formula. Plug in , (the decimal equivalent of 11%), and . Multiply and to get . Raise 'e' (which is approximately 2.71828) to the power to get (this value is approximate). Multiply and to get . Round to the nearest hundredth (ie to the nearest penny). So the balance after 4 years is$3,881.77 So the answer is choice b) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Complex_Numbers/388773: Solve by completing the square: x^2-4x+6=0 I did x^2-4x+4=-6+4 (x-2)^2=-2 x-2=±√-2 Am I doing it right?1 solutions Answer 275179 by jim_thompson5910(28476)   on 2010-12-25 17:17:08 (Show Source): You can put this solution on YOUR website! Start with the given expression. Take half of the coefficient to get . In other words, . Now square to get . In other words, Now add and subtract . Make sure to place this after the "x" term. Notice how . So the expression is not changed. Group the first three terms. Factor to get . Combine like terms. So after completing the square, transforms to . So . So is equivalent to . Now let's solve Start with the given equation. Subtract from both sides. Combine like terms. Take the square root of both sides. or Break up the "plus/minus" to form two equations. or Simplify the square root. or Add to both sides. -------------------------------------- Answer: So the solutions are or . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Probability-and-statistics/388754: normal distribution N(160,10) P(150 mean=160,standard deriviation=sqrt(10) P(X<170)=phi(170-160/sqrt(10)=0.9992 P(X>150)=1-P(X<150)=1-phi(150-160/sqrt(10))=1-phi(-3.16)=1-0.0008=0.9992 -->p=0 can you check this answer, what's wrong? If the result is wrong, can you give me correct answer thank you1 solutions Answer 275138 by jim_thompson5910(28476)   on 2010-12-25 01:52:29 (Show Source): You can put this solution on YOUR website!The standard deviation is , which means that you should have and NOT Note: remember that the formula is The same applies with the second expression. Let me know if this helps.
 test/388752: Ok! Hers my situation. I'm 50 years old. I have known algebra. I made a commitment with myself to enroll in a University full time to accomplish a double major. (1). (BS) Mathematics (3yrs.) & (2). (BS) Civil Engineering (2yrs.). Now ! my question is this I would say I am at a elementary math level (pre-algebra). My primary goal is to reach a calculus for engineering level. What is the most direct route without skipping any steps of course map should I take and what format should I use? DVD's with practice sheets, online tutor, interactive structured tutor session's ect.,? I start this Spring semester January, 24, 20111 solutions Answer 275128 by jim_thompson5910(28476)   on 2010-12-24 21:38:35 (Show Source): You can put this solution on YOUR website!The basic order would be 1) Pre-Algebra 2) Algebra 1 3) Algebra 2 (you may be able to combine the two algebra classes, but it's not advised) 4) Geometry (this may be optional) 5) Pre-Calculus 6) Calculus (there are various levels of calculus) This is the basic route that I've gone through and countless others I know have gone through. It may vary depending on the school. The most effective way to learn all of this would be to go one-on-one with someone so you can talk about what you're learning. If you can't do that, interactive software would be your best bet. Of course, the classroom is also a good place to learn as well.
 Proofs/388751: ~Bv[(C>D)•(E>D)] B•(CvE) Conclusion: D1 solutions Answer 275127 by jim_thompson5910(28476)   on 2010-12-24 20:30:50 (Show Source): You can put this solution on YOUR website!1. ~B v [ (C -> D) * (E -> D)] 2. B * (C v E) /:. D ------------------------- 3. (C v E) * B 2 Commutation 4. B 2 Simplification 5. C v E 3 Simplification 6. E v C 5 Commutation 7. ~~E v C 6 Double Negation 8. ~E -> C 7 Material Implication 9. (C -> D) * (E -> D) 1,4 Modus Ponens 10. (E -> D) * (C -> D) 9 Commutation 11. C -> D 9 Simplification 12. E -> D 10 Simplification 13. ~D -> ~E 12 Transposition 14. ~E -> D 8,11 Hypothetical Syllogism 15. ~D -> D 13,14 Hypothetical Syllogism 16. ~~D v D 15 Material Implication 17. D v D 16 Double Negation 18. D 17 Tautology  If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Probability-and-statistics/388748: Given that x and y are integers, solve x^2 + |y - 10| = 11 solutions Answer 275126 by jim_thompson5910(28476)   on 2010-12-24 19:41:37 (Show Source): You can put this solution on YOUR website!The expression is ALWAYS positive. Also, is ALWAYS positive. Because of this, this means that BOTH and must be values less than 1. However, if x is an integer, this would mean that x must be zero (because any other integer would make ). So this leaves the equation . I'll let you solve it. Alternatively, we can let (using the same reasoning as above), which would leave us . Again, I'll let you solve it.
 Polynomials-and-rational-expressions/388749: 1/3 x = 3 5/6 I get answer of 23/2-- however in check it comes out 138-138 or 0-0 what am I doing wrong, could you show problem process. Thank you1 solutions Answer 275125 by jim_thompson5910(28476)   on 2010-12-24 19:10:56 (Show Source): You can put this solution on YOUR website!That's the correct answer. When you plug that answer back into x, you should get . This equation is ALWAYS true, which confirms the answer.
 Percentage-and-ratio-word-problems/388747: What percent of C base does Bacteria T7 most likely have in its DNA?1 solutions Answer 275121 by jim_thompson5910(28476)   on 2010-12-24 17:34:58 (Show Source): You can put this solution on YOUR website!Sorry, without more information, there is no way to answer this question (we specialize in math, not biology). Please repost with more information.
 Finance/388690: find the slope the line 4x-4y1 solutions Answer 275067 by jim_thompson5910(28476)   on 2010-12-24 01:08:08 (Show Source): You can put this solution on YOUR website!What's that expression equal to?
 Travel_Word_Problems/388689: Please help me solve this Find the distance between the points: (-3,-3) and (-3,6). 1 solutions Answer 275064 by jim_thompson5910(28476)   on 2010-12-24 00:54:01 (Show Source): You can put this solution on YOUR website! Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the distance formula. Plug in , , , and . Subtract from to get . Subtract from to get . Square to get . Square to get . Add to to get . Take the square root of to get . So our answer is So the distance between the two points is 9 units. Note: because the two points have the same x coordinate, we can think of this distance along a number line. So we can essentially count the number of spaces between -3 and 6 to get 9 spaces (or units) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Equations/388687: Please help me solve this Solve the equation for x: -1/6x = 24 1 solutions Answer 275061 by jim_thompson5910(28476)   on 2010-12-24 00:51:07 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by -6. Multiply. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Graphs/388686: Please help me solve this Find the y-intercept of the equation of the line: -2y + 16x = -4. 1 solutions Answer 275058 by jim_thompson5910(28476)   on 2010-12-24 00:39:19 (Show Source): You can put this solution on YOUR website!To find the y-intercept, plug in and solve for y Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the y-intercept is . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Number-Line/388685: Please help me solve this Find the distance between the points: (2,0) and (3,-3).1 solutions Answer 275057 by jim_thompson5910(28476)   on 2010-12-24 00:37:37 (Show Source): You can put this solution on YOUR website! Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the distance formula. Plug in , , , and . Subtract from to get . Subtract from to get . Square to get . Square to get . Add to to get . Simplify the square root. So our answer is Which approximates to So the distance between the two points is approximately 3.162 units. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Number-Line/388681: Please help me solve this Find the distance between the given points. (0,5) and (-3,-7). 1 solutions Answer 275056 by jim_thompson5910(28476)   on 2010-12-24 00:36:58 (Show Source): You can put this solution on YOUR website! Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the distance formula. Plug in , , , and . Subtract from to get . Subtract from to get . Square to get . Square to get . Add to to get . Simplify the square root. So the exact distance is Which approximates to So the distance between the two points is approximately 12.369 units. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Number-Line/388683: Please help me solve this Which equation does not represent y as a function of x? -7y = 2 6x = -8y 5y^2 + 2x = -4 4x^2 + 9y = -8 1 solutions Answer 275054 by jim_thompson5910(28476)   on 2010-12-24 00:35:30 (Show Source): You can put this solution on YOUR website!If you solve for y on , you'll find that you'll get a plus/minus when taking the square root (to isolate y). Since this generates two equations, this means that is NOT a function of x. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Travel_Word_Problems/388682: One car's headed south at 70mph. The other is headed north at 65mph. They leave from the exact same place. How long will it take the cars to get 270 miles apart?1 solutions Answer 275053 by jim_thompson5910(28476)   on 2010-12-24 00:33:58 (Show Source): You can put this solution on YOUR website!Using , the first car has traveled miles (where 'x' is the time spent traveling) and the second car has traveled miles. Since we want the two to be 270 miles apart, this means that their individual distances must add to 270 So Start with the given equation. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is So the cars will need to travel for 2 hours to get 270 miles apart. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Radicals/388676: Can you help me to solve this problem? The height of a projectile fired upward is given by the formula , where is the height in feet, is the initial velocity, and is the time in seconds. Find the time for a projectile to reach a height 64 ft if it has an initial velocity of 128 ft/s. Round to the nearest hundredth of a second. This is from: Intermediate Algebra. By Richard N. Aufmann1 solutions Answer 275045 by jim_thompson5910(28476)   on 2010-12-23 21:03:35 (Show Source): You can put this solution on YOUR website!Where is the formula? Please repost.
 Expressions-with-variables/388674: I need your help to write a formula for this question: A single taxpayer uses a tax rate schedule to calculate the amount of tax to pay on a federal income tax return. If the tax payer has an adjusted income over $23,350, then the taxpayer must pay$3,502 plus 28% of any amount over $23,350. If the amount of adjusted income written as A and the tax if T, write the formula to find the tax. Thank you for your help I really appreciate it! 1 solutions Answer 275037 by jim_thompson5910(28476) on 2010-12-23 19:38:54 (Show Source): You can put this solution on YOUR website!Let's assume that the adjusted income is over$23,350 So because of this assumption, this means that "the taxpayer must pay $3,502 plus 28% of any amount over$23,350". What this means is that the tax payer is guaranteed to pay $3,502. So this means that the tax so far is . Then the payer is expected to pay 28% of what's over$23,350. So you must add because is the "amount over $23,350" and 0.28 is the decimal form of 28% So the tax formula is Ex: Say that the payer earns$25,000. This means that s/he will pay dollars in taxes. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 expressions/388671: what is the product of this expression (a-3b)(2a+2b)1 solutions Answer 275032 by jim_thompson5910(28476)   on 2010-12-23 19:02:07 (Show Source): You can put this solution on YOUR website! Start with the given expression. Now let's FOIL the expression. Remember, when you FOIL an expression, you follow this procedure: Multiply the First terms:. Multiply the Outer terms:. Multiply the Inner terms:. Multiply the Last terms:. --------------------------------------------------- So we have the terms: , , , Now add every term listed above to make a single expression. Now combine like terms. So FOILs to . In other words, . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Miscellaneous_Word_Problems/388670: bruce needs 30 five-foot pieces of rope for a school project. the hardware store sells rope by the yard. how many yards of rope will bruce need1 solutions Answer 275031 by jim_thompson5910(28476)   on 2010-12-23 18:36:42 (Show Source): You can put this solution on YOUR website!Since "bruce needs 30 five-foot ", this means that he needs feet of rope total. Now recall that 3 ft = 1 yard. Now multiply both sides by 50 to get 3*50 ft = 1* 50 yd 150 ft = 50 yd So this means that he needs 50 yards of rope. Note: alternatively, you can divide 150 by 3 to convert from feet to yards. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Linear-systems/388668: A rectangle is to be drawn with perimeter 64cm. if the length is to be 14cm more than the width, determine the area of the rectangle1 solutions Answer 275029 by jim_thompson5910(28476)   on 2010-12-23 18:18:26 (Show Source): You can put this solution on YOUR website!The perimeter for a rectangle is where L is the length and W is the width. Since "A rectangle is to be drawn with perimeter 64cm", we know that P=64, which means that Also since "the length is to be 14cm more than the width", we can say that So plug this into to get Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. Since and , this means that So So the length is 23 and the width is 9. This means that the area is So the area is 207 square cm. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Inverses/388667: What is g-1(x) if g(x)-3x3-61 solutions Answer 275028 by jim_thompson5910(28476)   on 2010-12-23 18:04:55 (Show Source): You can put this solution on YOUR website!Assuming that , first replace g(x) with y to get . Now swap x and y to get Now solve for y to get So the inverse is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Inverses/388666: What is the inverse of y=3/2x1 solutions Answer 275027 by jim_thompson5910(28476)   on 2010-12-23 17:59:45 (Show Source): You can put this solution on YOUR website!I'm assuming that the equation is . First swap x and y to get and then solve for y to get If the equation on the other hand is , the same procedure is followed. Swap x and y to get and solve for y to get . In this case, the inverse is the same equation. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim