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 Trigonometry-basics/339913: Calculate the missing side of the right triangle if the hypotenuse is 12 feet and the other side is 9 feet. 1 solutions Answer 243572 by jim_thompson5910(28598)   on 2010-09-07 14:34:17 (Show Source): You can put this solution on YOUR website!Hint: Use the formula . In this case, and , so 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/339912: While it is said that trains opened up the American West to settlement, U.S. railroad miles have been on the decline for decades. On the other hand, the miles of roads in the U.S. highway system have been increasing. The function y = -1379.4x + 150,604 represents the U.S. railroad miles, while the function y = 478.4x + 157,838 modles the number of U.S. highway miles, where x is the number of years of 1995. Find the year in which it is estimated that the number of U.S. Railroad miles and the number of U.S. highway miles were the same. Thank you for your help. 1 solutions Answer 243571 by jim_thompson5910(28598)   on 2010-09-07 14:32:43 (Show Source): You can put this solution on YOUR website!Hint: Set the two right sides of the equations equal to one another to get . Now solve for 'x' to find the number of years since 1995 where the two will be equal. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Equations/339832: If b and c are positive numbers and 1/b = b/c = c/8 then b+c = (A)4 (B)6 (C)7 (D)8 (E)9 Could please help me with the above problem Thanks 1 solutions Answer 243570 by jim_thompson5910(28598)   on 2010-09-07 14:26:49 (Show Source): You can put this solution on YOUR website!Are there supposed to be 2 equal signs? Let me know if this is a typo or not.
 Vectors/339911: Find a unit vector in the same direction as a = (-10, 3, -9).1 solutions Answer 243568 by jim_thompson5910(28598)   on 2010-09-07 14:24:42 (Show Source): You can put this solution on YOUR website!Hint: Find the length (or the magnitude) of the vector and divide each component of the vector by this length. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Rectangles/339825: The length of a rectangle is 5 cm more than the width. The perimeter is 38 cm. Find the length and the width1 solutions Answer 243566 by jim_thompson5910(28598)   on 2010-09-07 14:20:50 (Show Source): You can put this solution on YOUR website!Hint: If "The length of a rectangle is 5 cm more than the width", then . If "The perimeter is 38 cm", then . Plug this info into to get If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Average/339798: a certain company loses \$157,500 during a 10 month period. determine the average monthly cost.1 solutions Answer 243564 by jim_thompson5910(28598)   on 2010-09-07 14:18:57 (Show Source): You can put this solution on YOUR website!Average Cost = dollars If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Functions/339910: p(x)=x2-2x+8. what is the domain of p1 solutions Answer 243562 by jim_thompson5910(28598)   on 2010-09-07 14:16:56 (Show Source): You can put this solution on YOUR website!Since you can plug in any real number, and a real number will result in an output, this means that the domain is the set of all real numbers. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Expressions-with-variables/339909: N=23+5Mfind N when M=61 solutions Answer 243561 by jim_thompson5910(28598)   on 2010-09-07 14:13:14 (Show Source): You can put this solution on YOUR website!Plug in M=6 to get N=23+5(6)=23+30=53. So if M=6, then N=53. 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/339906: It takes a girl 45 minutes to deliver the newspapers on her route; however, if her brother helps, it takes them only 20 minutes. How long would it take her brother to deliver the newspapers by himself?1 solutions Answer 243559 by jim_thompson5910(28598)   on 2010-09-07 14:06:43 (Show Source): You can put this solution on YOUR website!Hint: Solve the equation to find the time it takes for him to do it by himself. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Linear-equations/339900: Find the equation for (4,2) (1,3)1 solutions Answer 243557 by jim_thompson5910(28598)   on 2010-09-07 14:02:02 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Distribute Multiply Add 2 to both sides. Combine like terms. note: If you need help with fractions, check out this solver. Simplify So the equation that goes through the points and is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Quadratic_Equations/339905: If (2x – 2)(2 – x) = 0, what are all the possible values of x? A. 0 only B. 1 only C. 2 only D. 1 and 2 only E. 0, 1, and 21 solutions Answer 243556 by jim_thompson5910(28598)   on 2010-09-07 14:00:50 (Show Source): You can put this solution on YOUR website!If (2x – 2)(2 – x) = 0, then 2x-2=0 or 2-x=0. Solve for x in each equation to get x=1 or x=2 So the answer is D) 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/339904: A computer program randomly select a positive two-digit integer. If the integer selected is odd, twice that integer is printed. If the integer selected is even, the integer itself is printed. If the integer printed is 26, which of the following could have been the integer selected? I. 13 II. 26 III. 52 A. I only B. II only C. I and II only D. I and III only E. I, II, and III1 solutions Answer 243555 by jim_thompson5910(28598)   on 2010-09-07 13:59:44 (Show Source): You can put this solution on YOUR website!If the selected integer is 13, then 13*2=26 is printed (since 13 is odd). If 26 is selected, then just 26 is printed (since 26 is even) So the answer is C) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Exponents/339903: I am supposed to give answer without any negative exponents. 1 solutions Answer 243553 by jim_thompson5910(28598)   on 2010-09-07 13:58:03 (Show Source): You can put this solution on YOUR website! Note: . Also, in the last step, I multiplied EVERY term by the inner LCD 't' So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Expressions-with-variables/339902: Is it possible to subtract this any further? 1 solutions Answer 243551 by jim_thompson5910(28598)   on 2010-09-07 13:55:34 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Rational-functions/339901: Use the laws of exponants to simplify 6.5^7/4⁄6.5^2/51 solutions Answer 243549 by jim_thompson5910(28598)   on 2010-09-07 13:53:26 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Polygons/339844: If length of one side of a regular polygon is 25% of its perimeter, then polygon has how many sides? (a) 3 (b) 4 (c) 5 (d) 8 (e) 251 solutions Answer 243502 by jim_thompson5910(28598)   on 2010-09-07 11:18:53 (Show Source): You can put this solution on YOUR website!"If length of one side of a regular polygon is 25% of its perimeter", then . Divide both sides by 0.25 to get and simplify to get . Since this is the formula for the perimeter of a square, this means that the polygon has 4 sides. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Distributive-associative-commutative-properties/339703: How can I simplify this expression 10(11a) i don't get i'm confused.. Please help me!!1 solutions Answer 243347 by jim_thompson5910(28598)   on 2010-09-06 20:55:06 (Show Source): You can put this solution on YOUR website!10(11a)=10*11a=110a If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Bodies-in-space/339675: what is the volume of a ball if its diameter is 11 inches?1 solutions Answer 243338 by jim_thompson5910(28598)   on 2010-09-06 20:44:18 (Show Source): You can put this solution on YOUR website!If the diameter is , then the radius is inches. So 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 (this figure is approximate). Multiply and to get (again, this figure is approximate). Round to the nearest thousandth. So the volume of the ball is approximately 696.910 cubic inches. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Equations/339658: How do you solve: 8.1 + 3.8h - 5.6h = -7.21 solutions Answer 243309 by jim_thompson5910(28598)   on 2010-09-06 19:18:00 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by 10 to clear out the decimals. Distribute and multiply. 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. ---------------------------------------------------------------------- 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
 test/339560: The perimeter of a college athletic field is 92 meters and the length is 16 m more than the width. Find the length and width. What is the width? 1 solutions Answer 243284 by jim_thompson5910(28598)   on 2010-09-06 16:30:48 (Show Source): You can put this solution on YOUR website!Hint: The formula for the perimeter of a rectangle is where 'P' is the perimeter of the rectangle, L is the length, and W is the width. Since "The perimeter of a college athletic field is 92 meters and the length is 16 m more than the width", we know that and . Plug this info into the formula above to get If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
Polynomials-and-rational-expressions/339213: Could you please show me step by step help to solve: x^2 + 10xy + 16y^2
1 solutions

Answer 243121 by jim_thompson5910(28598)   on 2010-09-05 19:08:34 (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to factor.

Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last coefficient is .

Now multiply the first coefficient by the last coefficient to get .

Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ?

To find these two numbers, we need to list all of the factors of (the previous product).

Factors of :
1,2,4,8,16
-1,-2,-4,-8,-16

Note: list the negative of each factor. This will allow us to find all possible combinations.

These factors pair up and multiply to .
1*16 = 16
2*8 = 16
4*4 = 16
(-1)*(-16) = 16
(-2)*(-8) = 16
(-4)*(-4) = 16

Now let's add up each pair of factors to see if one pair adds to the middle coefficient :

First NumberSecond NumberSum
1161+16=17
282+8=10
444+4=8
-1-16-1+(-16)=-17
-2-8-2+(-8)=-10
-4-4-4+(-4)=-8

From the table, we can see that the two numbers and add to (the middle coefficient).

So the two numbers and both multiply to and add to

Now replace the middle term with . Remember, and add to . So this shows us that .

Replace the second term with .

Group the terms into two pairs.

Factor out the GCF from the first group.

Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.

Combine like terms. Or factor out the common term

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

Answer:

So factors to .

In other words, .

Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim

 Polynomials-and-rational-expressions/339212: Simplify by factoring √x^2+16x+64 Again, thanks for any help and need to show work. Thanks1 solutions Answer 243120 by jim_thompson5910(28598)   on 2010-09-05 19:05:19 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
 Polynomials-and-rational-expressions/339211: rationalize the denominator √5/y Any help would be great. Need to show work.1 solutions Answer 243119 by jim_thompson5910(28598)   on 2010-09-05 19:01:54 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
 absolute-value/339198: How do I solve this absolute value equation:3/5+2|2-3/4x|=7. The answers are -8/5 or 104/15 but I do not know how the answers are found. Please reply ASAP. Thanks.1 solutions Answer 243115 by jim_thompson5910(28598)   on 2010-09-05 18:38:33 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms. Multiply both sides by Multiply. Reduce. Now remember that if , then or This means that if , then or Let's solve the first equation: Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So one solution is ---------------------------------------------------- Now let's solve Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So another solution is This means that the solutions to are or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
 Equations/339194: (10x^3y^5)^-31 solutions Answer 243114 by jim_thompson5910(28598)   on 2010-09-05 18:29:08 (Show Source): You can put this solution on YOUR website! Start with the given expression. Flip the base to make the exponent positive. Distribute the exponent. Cube 1 to get 1. Rewrite as . Multiply the outer exponent by each of the inner exponents. Multiply the exponents. Cube 10 to get 1000 So where every variable is nonzero. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
 Numbers_Word_Problems/339192: four times a number added to 9 times the number equals 52. find the number1 solutions Answer 243112 by jim_thompson5910(28598)   on 2010-09-05 18:21:17 (Show Source): You can put this solution on YOUR website!Hint: "four times a number added to 9 times the number equals 52" means that If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
 Angles/339193: find the measure of the supplement for 38 degrees1 solutions Answer 243109 by jim_thompson5910(28598)   on 2010-09-05 18:16:21 (Show Source): You can put this solution on YOUR website!Supplement of 38 degrees = 180-38 = 142 degrees If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
 Average/339191: Number Set: 11, 9, 18, 24, 8, 14 - What number do you need to add to the set to make the mean equal to 15?1 solutions Answer 243108 by jim_thompson5910(28598)   on 2010-09-05 18:13:37 (Show Source): You can put this solution on YOUR website!Hint: Add in some unknown number 'x' to get 11, 9, 18, 24, 8, 14, x Now compute the mean to get . Since you want the mean to be 15, this means that If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim
 Equations/339188: 4x/3 - 5/6 = x/2 - 101 solutions Answer 243106 by jim_thompson5910(28598)   on 2010-09-05 18:03:15 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- 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/339184: x+3y=56 what is the intercept

1 solutions

Answer 243105 by jim_thompson5910(28598)   on 2010-09-05 17:50:15 (Show Source):
You can put this solution on YOUR website!

x-intercept

To find the x-intercept, plug in and solve for x

Start with the given equation.

Plug in .

Multiply and 0 to get 0.

Simplify.

So the x-intercept is .

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/339175: A basketball player has a 70% free throw shooting average, which can be interpreted to mean that the probability of his hitting any single free throw is 0.7 or 7/10. Assume that free throws are independent events, so that what happens on one free throw doesn't affect the outcome of the next. What is the probability the player makes his first three free throws? What is the probability that in shooting five free throws he hist at least one?1 solutions Answer 243098 by jim_thompson5910(28598)   on 2010-09-05 17:19:48 (Show Source): You can put this solution on YOUR website!What is the probability the player makes his first three free throws? P(3 Free Throws Made) = P(One Free Throw Made AND One Free Throw Made AND One Free Throw Made) P(3 Free Throws Made) = P(One Free Throw Made) * P(One Free Throw Made) * P(One Free Throw Made) Note: this equation is possible since the events are independent. P(3 Free Throws Made) = (7/10) * (7/10) * (7/10) P(3 Free Throws Made) = (7*7*7)/(10*10*10) P(3 Free Throws Made) = 343/1000 P(3 Free Throws Made) = 0.343 So the probability is 343/1000 or 0.343 (which is a 34.3% chance) to make all 3 free throws. Note: In real life, these events are likely to be dependent. Eg, say the player misses the first two. If this happens, his/her confidence may be lowered which may contribute to missing the third one (ie also contributing to lowering the probability). I'll let you answer the second question. You either have to break up the problem into cases (ie chances of the player hitting all 5 + chances of the player hitting 4 shots + chances of the player hitting 3 shots + chances of the player hitting 2 shots + chances of the player hitting 1 shot), or you can think of it like 1-P(missing all 5) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim