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Graphs/212123: State the equation of the line asymptotic to the graph y=5^x 1 solutions Answer 160207 by Fombitz(13828)   on 2009-09-09 10:10:04 (Show Source): You can put this solution on YOUR website! As x goes to negative infinity, y approaches 0. y=0 is an asymptote.

Linear_Equations_And_Systems_Word_Problems/212084: Tanner has $4.35 in nickels and quarters. If he has 15 more nickels than quarters how many of each coin does he have? Would it be 2x + 15= 4.35? Is that how I write the equation? Then how do I find both the amount of nickels and quarters? 1 solutions Answer 160206 by Fombitz(13828)   on 2009-09-09 10:08:28 (Show Source): You can put this solution on YOUR website! Let N be the number of nickels and Q the number of quarters. You will have two equations. The first relates the number of coins. "he has 15 more nickels than quarters" 1. N=15+Q The second is the total value of the coins. Each nickel is worth 5 cents. Each quarter is worh 25 cents. The total is $4.35 or 435 cents. 2. 5*N+25*Q=435. Now substitute the expression for N into eq. 2 and solve for Q. Then go back to eq. 1 and solve for N. Re-post or email if you get stuck or need more help. Good luck!

Average/212121: This question is from textbook Algebra 1 Hi, I know this may be a very simple question for you but I need assistance. Here is the question: A northern city had the following temperatures one winter week. Find the average temperature for the week: -7, -15, +2, +9, -1, +17, +23. Please help me with the answer and explain how the answer was computed. Thanks!! 1 solutions Answer 160205 by Fombitz(13828)   on 2009-09-09 10:04:15 (Show Source): You can put this solution on YOUR website! Add the numbers and then divide by the number of samples. There are 7 samples. Average=Sum/N=(-7-15+2+9-1+17+23)/7=28/7=4

Numbers_Word_Problems/212095: what 2 digit number is equal to twice the product of it's digits? 1 solutions Answer 160204 by Fombitz(13828)   on 2009-09-09 10:02:12 (Show Source): You can put this solution on YOUR website! Let the number be A*10+B where A and B are between 0 and 9 A*10+B=2(AB) 10+(B/A)=2B B and A must be multiples of each other for this equation to work. (2,4) and (3,6) are the only digits that are multiples. 10+(4/2)=2(4) 12=8 No, that doesn't work. 10+(6/3)=2(6) 12=12 Yes, that works. The number is 36. 36=2*(3*6)=36 . . . The other possible solution is 00, because 00=2(0*0) although I'm not sure that 0 is really a 2 digit number.

Exponential-and-logarithmic-functions/212118: find the solution to the exponential equation correct to four decimal equations. 5+3^(5x)=13 1 solutions Answer 160203 by Fombitz(13828)   on 2009-09-09 09:54:10 (Show Source): You can put this solution on YOUR website! 5+3^(5x)=13 3^(5x)=8 5x=log(8,3) x=(1/5)log(8,3) log(8,3) is log 8 base 3. log(8,3)=log(8)/log(3) in base 10. x=(1/5)(log(8)/log(3)) or approximately x=0.379

Numbers_Word_Problems/212119: the sum of the two digit number is 7, when you reversed the number it was increased by 27. what is the original number? 1 solutions Answer 160201 by Fombitz(13828)   on 2009-09-09 09:51:52 (Show Source): You can put this solution on YOUR website! A*10+B is the original number where A and B are between 0 and 9. 1. A+B=7 B*10+B is the number with digits reversed. B*10+A=A*10+B+27 10B+A=10A+B+27 2.-9A+9B=27 Use eq. 1 to solve for A as a function of B. A+B=7 A=7-B Now substitute into eq. 2 and solve for B, -9(7-B)+9B=27 -63+9B+9B=27 18B=90 B=5 Now go back and solve for A. A=7-B A=7-5 A=2 The original number was 25, the reversed digit number was 52.

Numbers_Word_Problems/212117: what two integers is 77 squared between? 1 solutions Answer 160200 by Fombitz(13828)   on 2009-09-09 09:47:39 (Show Source): You can put this solution on YOUR website! 77^2=5929 5928 and 5930 are two integers that 5929 is between.

Geometric_formulas/211898: This question is from textbook Geometry l=7, w-3, p=? P=2l + 2w 1 solutions Answer 160088 by Fombitz(13828)   on 2009-09-08 16:25:24 (Show Source): You can put this solution on YOUR website! P=2l+2w=2(7)+2(3)=14+6=20

Miscellaneous_Word_Problems/211909: Each day esterno drives 52 miles. If he can drive 26 miles on one gallon of gasoline, how many days can he drive on 14 gallons of gasoline. 1 solutions Answer 160087 by Fombitz(13828)   on 2009-09-08 16:24:33 (Show Source): You can put this solution on YOUR website! Set up a ratio. 26 miles is to 1 gallon as X is to 14 gallons. 26/1=X/14 26=X/14 26*14=X X=364 miles

Numbers_Word_Problems/211905: Need help with this word problem. A painter leans a 10 foot ladder against a house, the distance from the base of the ladder to the house is 4 feet less than the distance from the top f the ladder to the ground. How far up the house is the top of the ladder? Find the EXACT answer and the APPROXIMATE answer to the nearest hundredth. I tried using the Pythagorean Theoriam, but I don't seem to be setting the problem up correctly. 1 solutions Answer 160086 by Fombitz(13828)   on 2009-09-08 16:23:29 (Show Source): You can put this solution on YOUR website! H=10 A=distance from ground to top of ladder B=distance from corner to bottom of ladder A^2+B^2=H^2 B=A-4 A^2+(A-4)^2=10^2 A^2+(A^2-8A+16)=100 2A^2-8A+16=100 2A^2-8A-84=0 A^2-4A-42=0 Use the quadratic formula A=(4+/-sqrt(4^2-4(1)(-42))/2 A=(4+/-sqrt(184))/2 A=(4+2*sqrt(46))/2 A=2+sqrt(46)=8.78 B=-2+sqrt(46)=4.78

Travel_Word_Problems/211903: Emile wants to win the 100 yard dash at the track meet. If he runs 4.9 miles per hour, how many minutes will it take him to run the race? 1 solutions Answer 160084 by Fombitz(13828)   on 2009-09-08 16:13:12 (Show Source): You can put this solution on YOUR website! Rate*Time=Distance Make sure your units are consistent. Convert all lengths to feet. 1 mile=5280 feet 4.9 miles/hr=4.9(5280 ft)/hr=25872 ft/hr*(1 hr/3600 sec)=7.187 ft/sec 100 yd=300 feet Time=Distance/Rate t=300 ft/(7.187 ft/sec)=41.7 sec You want the answer in minutes though. t=41.7 sec(1 min/60 sec)=0.696 minutes

Triangles/211902: What is the formula to find the length of one side of a right triangle when you only have the base and the heighth? 1 solutions Answer 160083 by Fombitz(13828)   on 2009-09-08 16:08:55 (Show Source): You can put this solution on YOUR website! Pythagorean theorem: A^2+B^2=C^2 where A, B are the shorter legs, C is the longest leg of the right triangle.

Numbers_Word_Problems/211899: This question is from textbook Algebra Find three consecutive odd integers whosw sum is 105. 1 solutions Answer 160081 by Fombitz(13828)   on 2009-09-08 16:07:03 (Show Source): You can put this solution on YOUR website! N : First integer N+1 : Second integer N+2 : Third consecutive integer Sum = N+(N+1)+(N+2)=3N+3=105 3N=102 N=34 N+1=35 N+2=36

Graphs/184549: I need help. It says to use the slope intercept form to graph the equation. y=4/5x-3 1 solutions Answer 138522 by Fombitz(13828)   on 2009-03-02 16:43:49 (Show Source): You can put this solution on YOUR website! First, graph the intercept, when x=0, y=-3. . . . Next use the slope. The slope is the number of units of rise (y) for each unit of run (x) for your line. So for every positive 1 step in x, you take a positive 4/5 step in y. More practically, for every 5 positive steps in x, you take 4 positive steps in y. . . . Start at (0,-3), 5 steps in x and 4 steps in y would then take you to another point (0+5,-3+4)=(5,1) . . . Graph that point and connect the line through those points.

Pythagorean-theorem/182793: This question is from textbook tenessee geometry The hubble telescope is orbiting earth 600 km above earth's surface. Earth's radius is about 6370km. use pythagoream theorem to find the disance x from thee telescope to earth's horizon. round to the nearest km. I no the answer is 2830km. I need to no how to get that answer 1 solutions Answer 137279 by Fombitz(13828)   on 2009-02-20 09:46:15 (Show Source): You can put this solution on YOUR website! Like this you mean??

Probability-and-statistics/182871: one digit frin the number 8,969,911 is written on each of seven cards. what is the probabilty of drawing a card that shows a 8,9,or 6. 1 solutions Answer 137276 by Fombitz(13828)   on 2009-02-20 09:43:01 (Show Source): You can put this solution on YOUR website! That means there is one 6, one 8, two 1's, and three 9's (total of 7). P(8)=number of 8 cards/total number of cards=1/7 P(9)=3/7 P(6)=1/7 and although you didn't ask P(2)=2/7

logarithm/182853: Please solve this equation: 1 solutions Answer 137275 by Fombitz(13828)   on 2009-02-20 09:36:15 (Show Source): You can put this solution on YOUR website! Here's a graph of both (in red) and (in green). The only time that is greater than is when x<0. At that point, both values are less than one and their difference cannot equal 18. When x>0, is always greater than , the difference cannot be 18. There is no solution.

Exponential-and-logarithmic-functions/182675: Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. thank you for your help. 1 solutions Answer 137165 by Fombitz(13828)   on 2009-02-19 09:13:05 (Show Source): You can put this solution on YOUR website! Its all in the sign of the exponent (assume a>0). quickly grows to as x gets large. quickly decays to 0 as x gets large. . . . The graphs are for a=1.

Quadratic_Equations/182677: 5b. What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0." thank you for your help. 1 solutions Answer 137164 by Fombitz(13828)   on 2009-02-19 09:07:58 (Show Source): You can put this solution on YOUR website! 1. Quadratic formula, . . . 2. Factor the equation, First solution: Second solution: . . . 3. Graph and make reasonable guesses. Iterate until you find the answer. Although it's easy for this equation, it may not be the best method for every equation.

Vectors/182408: Write an equation of a tangent to the curve at a given point: y=2x-1/x at P(0.5,-1) 1 solutions Answer 136897 by Fombitz(13828)   on 2009-02-17 16:56:09 (Show Source): You can put this solution on YOUR website! The slope of the tangent line is the value of the derivative of the function at that point. First, find the derivative of the function. At x=0.5, Now you have the slope of the line, use the point-slope form of the line, . . .

Radicals/182384: This question is from textbook how would you multiply this 1 solutions Answer 136894 by Fombitz(13828)   on 2009-02-17 16:37:32 (Show Source): You can put this solution on YOUR website!

Functions/182387: Which set of ordered pairs is not a function? A. (-1, 0), (0, 1), (1,2), (2,3) B. (-1, 0), ( 0,0), (1,0), (2,0) C. (1, -1), (1, 0), (1,1), (1,2) D. (-1, 1), (0,0), (1,1), (2,2) 1 solutions Answer 136893 by Fombitz(13828)   on 2009-02-17 16:35:49 (Show Source): You can put this solution on YOUR website! C) A function returns a unique y value for each x value. The relationship in C) returns 4 distinct y values for x=1, therefore it cannot be a function.

Linear-systems/182398: This question is from textbook Elementary and Intermediate Algebra for College Students I always get stuck on the word problems. Can you help me? *A grocer made a barrel of mixed nuts consisting of cashews and almonds. The barrel contained 62 pounds of nuts. There are twice as many pounds of cashews as almonds. Find the number of pounds of cashews and of almonds in the barrel. I tried this: let c= cashews let a= almonds c+a= 62 lbs c= 2a Then i tried: 2a+a=62 3a=62 , but that is incorrect. Please help me!? 1 solutions Answer 136890 by Fombitz(13828)   on 2009-02-17 16:29:48 (Show Source): You can put this solution on YOUR website! Why is that incorrect? . . . Check your answer. True. True. Your answers led to two true statements. They are good answers.

Graphs/182278: How do you form A quadratic equation · 1 solutions Answer 136837 by Fombitz(13828)   on 2009-02-17 09:48:02 (Show Source): You can put this solution on YOUR website! The general form of the quadratic equation is where . Pick a,b, and c to have whatever values you wish.

Equations/182155: Hello, I'm needing some help on the following problem: Use matrices to solve each system of equations. If a system has no solution, so indicate. { 2x-3y=16 -4x+y=-22 thanks H.C. 1 solutions Answer 136796 by Fombitz(13828)   on 2009-02-16 21:00:41 (Show Source): You can put this solution on YOUR website! 2x-3y=16 -4x+y=-22 [A]= [x]= [b]= [A][x]=[b] . . . [A]inv= [x]=[A]inv[b] . . . [x]= [x]=

Mixture_Word_Problems/182196: In the right triangle, find the length of the side not given. Give an exact answer and an approximation to three decimals places. a=14 b=14. What is the exact value of c? What is the value of c approximated to 3 decimal places? 1 solutions Answer 136791 by Fombitz(13828)   on 2009-02-16 20:47:49 (Show Source): You can put this solution on YOUR website! or approximately,

Exponential-and-logarithmic-functions/182244: This question is from textbook Radioactive iodine is used to determine the health of the thyroid gland it decays according to the equation y=ae*-0.0856t where t is in days find the half life of this substance i dont understand all you are given is the exponent of -0.0856 1 solutions Answer 136789 by Fombitz(13828)   on 2009-02-16 20:43:37 (Show Source): You can put this solution on YOUR website! At time t=0, you have "a" units of iodine since Half life is the time it takes to reach 1/2 of your original amount. Since you started with "a" units, how long will it take to get to "a/2" units? or approximately It takes 8.1 time units to get to 1/2 of the original amount of iodine. The time unit is dependent on how 0.0856 is originally defined.

Equations/182158: Hello, I'm having some difficulty with the following problem: Use matrices to help find a general solution of each system of equations. { x+z=1 x+y=2 2x+y+z=3 thanks, H.C. 1 solutions Answer 136758 by Fombitz(13828)   on 2009-02-16 17:06:33 (Show Source): You can put this solution on YOUR website! In matrix form it would look like, [A]= [x]= [b]= [A][x]=[b] The solution is [x]=[A]inv[b] where [A]inv is the inverse of [A] This is where the problem comes in. The determinant of [A] is zero, there is no solution. Was that the difficulty you were having?

Finance/182162: This question is from textbook Fundamentals of Financial Accounting On Jan. 1 2008, purchased a copier for 12,000 dollars. The copier had an estimated life of four years and a salvage value of 2,000. How do I figure this out? 1 solutions Answer 136756 by Fombitz(13828)   on 2009-02-16 16:52:47 (Show Source): You can put this solution on YOUR website! You didn't ask a question. Figure what out? Are you looking for the value of the copier for each year? Hopefully something here will help. Look at final (salvage) value versus initial value. Typically you depreciate linearly so each of the four years the value will be reduced by, On Jan. 1, 2008, the copier's value is $12000. On Jan. 1, 2009, the copier's value is $9500. On Jan. 1, 2010, the copier's value is $7000. On Jan. 1, 2011, the copier's value is $4500. On Jan. 1, 2012, the copier's value is $2000.

Systems-of-equations/182222: y=2x^2-5x-12 y=0.5x^2-3x+4 1 solutions Answer 136753 by Fombitz(13828)   on 2009-02-16 16:41:27 (Show Source): You can put this solution on YOUR website! To find the intersection of the two curves, set them equal to eacgh other. You can factor this quadratic, First solution: 3x-8=0 x=-8/3 Second solution: x-4=0 x=4 Use either equation to find corresponding y values. . . . . . . Intersection points : (-8/3,140/9) and (4,0)

Geometry_Word_Problems/182005: An architect is designing an office building that is to be a width of 50 feet, a length of 50 feet, and a height of 100 feet. A scale model of the same building is to have a width of 18 inches, a length of 18 inches, and a height of 36 inches 1. Find the scale factor of the office building to the model. The answer I got for this one is 1:1:2 but I don't think it's right. And I can't answer the other questions until I understand how to do it. 2. The entrance into the building building is 8 feet high by 7 feet wide. Find the height and width of the entrance on the scale model. Round your answer to one decimal place. 3. Two windows on either side ofthe main entrance measure 3 inches wide and 2 inches high on the scale model. Find the height and the width on the actual building. Round your answer to one decimal space. 4. You want to add a window over the entrance to the building. Determine the size that you want the actual window to be. Then find the size of the window on the scale model. 1 solutions Answer 136609 by Fombitz(13828)   on 2009-02-15 09:51:09 (Show Source): You can put this solution on YOUR website! 1. The scale factor you found was for size of the building (height to width to length). They're looking for the scale factor of building to model. SF=(Height of Building)/(Height of Model)=50/18=25/9 25 feet=9 inches, (25/9), going from model dimensions to building dimensions. 9 inches=25 feet, (9/25),going from building dimensions to building dimensions. . . . 2. 8 feet would equal 2.9 inches. . . . I'll leave the rest of the problems for you to finish. Re-post if you need more help.