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# Recent problems solved by 'scott8148'

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 Polynomials-and-rational-expressions/94854: From the given polynomials, identify the polynomials of degree one. 1. x3 + 4x + 8 2. 76 + 5x 3. (x)1/2 + 5x - 6 4. 500 + (45)1/2x 5. 289y + 6 -76y 6. (37)1x1 7. (9x2)1/2 + 3 8. 89x4 + 3y + 5 I need the aswer to this asap 1 solutions Answer 69074 by scott8148(6628)   on 2007-08-28 17:06:28 (Show Source): You can put this solution on YOUR website!it is hard to tell from your notation exactly what the polynomial terms are degree 1 means that 1 is the LARGEST exponent for any variable (letter) in the polynomial
 Graphs/94770: Find the equation of the line passing throgh the point (32,11) and perpendicular to th line 8x+y=32. Write you answer in slope intercept form. Can anyone explain this...greatly appreciated.1 solutions Answer 69070 by scott8148(6628)   on 2007-08-28 16:54:33 (Show Source): You can put this solution on YOUR website!rewriting in slope-intercept form gives y=-8x+32, so the slope of this line is -8 perpendicular lines have slopes that are negative reciprocals, so the slope of the new line is 1/8 using point-slope form gives (y-11)=(1/8)(x-32) ... y-11=(1/8)x-4 ... y=(1/8)x+7
 Graphs/94771: X-7y=56+y 0.09y=0.03x-0.78 Solve the system I don't understand? please anyone help. thanks1 solutions Answer 69066 by scott8148(6628)   on 2007-08-28 16:45:27 (Show Source): You can put this solution on YOUR website!solving the system means finding values for x and y that work in both equations x-7y=56+y ... x=56+8y ... multiplying the second equation by 100 gives 9y=3x-78 substituting gives 9y=3(56+8y)-78 ... 9y=168+24y-78 ... -15y=90 ... y=-6 x=56+8(-6) ... x=56-48 ... x=8
 logarithm/94815: I am currently enrolled in a General Chemistry course at a community college. I should apparently already know logarithms, but I don't. Please help! The problem is as follows... The pK_a_ of a solution is defined by the equation: pK_a_ = -logK_a_ Where: K_a_ = acid dissociation constant Use the rules for logarithms and exponents to solve for K_a_ in terms of pK_a_. (a.) K_a_ = _____________ (b.) If pK_a_ = 1.64 then K_a_ = ________________ I have been able to solve problem a. K_a_ = 10^-pK_a_^ However, I cannot figure out how to get the answer to problem b. I know that the correct answer is 2.29E-2 but I can't figure out how they get that answer. Any help would be greatly appreciated! Thank you! Amy M a.mccubbin@insightbb.com1 solutions Answer 69061 by scott8148(6628)   on 2007-08-28 16:31:18 (Show Source): You can put this solution on YOUR website!your solution to a. has an extra exponentiation symbol at the end, maybe this is why you can't get b. K_a_=10^(-pK_a_) ... K_a_=10^(-1.64) ... K_a_=.0229 or 2.29E-2
 Miscellaneous_Word_Problems/94831: This question is from textbook algebra structure and method With the major options package and destination charge, a sports car cost \$24,416. The base price of the car was ten times the price of the major options package and fifty times the destination charge. What was the base price of the car? thank you! I am close, but cannot get it.1 solutions Answer 69056 by scott8148(6628)   on 2007-08-28 16:13:12 (Show Source): You can put this solution on YOUR website!let b=base price ... b+(b/10)+(b/50)=24416 ... b+.1b+.02b=24416 ... 1.12b=24416 ... b=21800
 Inequalities/94857: I need help, PLEASE~~ t/3-t+7<-4t/3+8 that is supposed to be is less then or equal, too, i think i didnt know how to put the line under it!1 solutions Answer 69052 by scott8148(6628)   on 2007-08-28 16:06:23 (Show Source): You can put this solution on YOUR website!combining the t terms on the left gives -2t/3+7<=-4t/3+8 ... subtracting 7 gives -2t/3<=-4t/3+1 multiplying by 3 gives -2t<=-4t+3 ... adding 4t gives 2t<=3 ... dividing by 2 gives t<=3/2
 Age_Word_Problems/94851: The ages, in years of three sisters are consecutive odd integers. Three years ago, the oldest sister was three times as old as the youngest. How old is each now How do we set this problem up: We've tried several equations, but we're missing something. Please help. Both my husband and I have tried to help our daughter, We were given the answers of 5, 7, 9. Please help us set up the equation and show steps to solving. Thanks so much 1 solutions Answer 69045 by scott8148(6628)   on 2007-08-28 15:57:23 (Show Source): You can put this solution on YOUR website!consecutive odd integers are separated by 2; so the ages are x, x+2, x+4 ... three years ago is -3 (x+4)-3=3((x)-3) ... x+1=3x-9 ... 10=2x ... 5=x ... the ages are 5, 7, 9
 Quadratic-relations-and-conic-sections/94523: find the equation of the parabola with vertex at the origin and focus at (0,2)1 solutions Answer 68851 by scott8148(6628)   on 2007-08-26 20:37:22 (Show Source): You can put this solution on YOUR website!a parabola with an axis parallel to the y axis with vertex (h, k) and focus (h, k + p) (with p being the distance from the vertex to the focus), has the equation (y-k)=(1/(4p))(x-h)^2 in this case (y-0)=(1/(4*2))(x-0)^2 ... y=(1/8)x^2
 Numeric_Fractions/94534: What is the domain of x-2 over x+2?1 solutions Answer 68847 by scott8148(6628)   on 2007-08-26 20:21:15 (Show Source): You can put this solution on YOUR website!the value of x (domain) can be any number with the exception of -2 -2 will result in a zero value for the denominator and division by zero is undefined
 Proportions/94489: How many liters of a 14% alcohol solution must be mixed with 20L of a 50% solution to get a 30 % solution? 1 solutions Answer 68845 by scott8148(6628)   on 2007-08-26 20:16:59 (Show Source): You can put this solution on YOUR website!x(14%)+20(50%)=(x+20)(30%) ... .14x+10=.3x+6 ... 4=.16x ... 25=x
 Equations/94493: Below are some equatiOns that contain initials or words that will make them correct. Find the missing words 12=N in a D: 2,000=P in a T: 5=F on a H: 5=T on a F: 9=P on a B.T.: 1 solutions Answer 68840 by scott8148(6628)   on 2007-08-26 20:07:18 (Show Source): You can put this solution on YOUR website!12=Number in a Dozen ... 2,000=Pounds in a Ton ... 5=Fingers on a Hand 5=Toes on a Foot ... 9=Players on a Baseball Team
 Miscellaneous_Word_Problems/94496: Hello, I need help finding two consecutive even integers whose product is 224. Thank you1 solutions Answer 68834 by scott8148(6628)   on 2007-08-26 19:53:10 (Show Source): You can put this solution on YOUR website!consecutive even integers are 2 numbers apart so x(x+2)=224 ... x^2+2x-224=0 factoring gives (x+16)(x-14)=0 ... x+16=0 ... x=-16 ... x-14=0 ... x=14 the two numbers are 14 and 16; but they can both be positive or both be negative
 Geometry_Word_Problems/94499: Hello, I need help solving this problem: A rectangle is 6 centimeters wide and 9 centimeters long. If the length and width are increased by the same amount, the area is increased by 100 square centimeters. Find the new dimensions. Thank you1 solutions Answer 68832 by scott8148(6628)   on 2007-08-26 19:43:14 (Show Source): You can put this solution on YOUR website!9*6=54 ... (9+x)(6+x)=54+100 ... 54+9x+6x+x^2=154 ... x^2+15x-100=0 factoring gives (x+20)(x-5)-0 ... x+20=0 ... x=-20 ... x-5=0 ... x=5 new dimensions are 6+5=11 and 9+5=14
 Travel_Word_Problems/94501: Hello, I need help solving this problem using the formula h=vt-16t^2: An object is fired into the air with a velocity of 72 feet per second. How many seconds will it take for the object to hit the ground? Thank you 1 solutions Answer 68828 by scott8148(6628)   on 2007-08-26 19:33:40 (Show Source): You can put this solution on YOUR website!the object hits the ground when h=0 ... this is also where the object starts; so t=0 is a solution 0=72t-16t^2 ... factoring gives 0=16t(4.5-t) ... 0=16t and 0=4.5-t ... t=4.5
 Average/94504: Solve the system by addition. 2x + 4y = 3 4x – 2y = 1 1 solutions Answer 68825 by scott8148(6628)   on 2007-08-26 19:23:41 (Show Source): You can put this solution on YOUR website!multiplying the second equation by 2 and adding to first equation gives (2x+4y)+2(4x-2y)=3+2(1) 2x+4y+8x-4y=3+2 ... 10x=5 ... x=1/2 ... 2(1/2)+4y=3 ... 4y=2 ... y=1/2
 Average/94505: I need help? The sum of two numbers is 33. Their difference is 11. What are the two numbers?1 solutions Answer 68822 by scott8148(6628)   on 2007-08-26 19:17:04 (Show Source): You can put this solution on YOUR website!x+y=33 ... x-y=11 ... adding the equations gives (x+y)+(x-y)=33+11 ... 2x=44 ... x=22 (22)+y=33 ... y=11
 Average/94506: Not sure on this word problem Adult tickets for a play cost \$20 and child tickets cost \$16. If there were 27 people at a performance and the theater collected \$464 from ticket sales, how many adults and how many children attended the play?1 solutions Answer 68821 by scott8148(6628)   on 2007-08-26 19:10:53 (Show Source): You can put this solution on YOUR website!a+c=27 ... a=27-c ... a(20)+c(16)=464 ... (27-c)20+c(16)=464 ... 540-20c+16c=464 ... -4c=-76 ... c=19 a=27-(19) ... a=8
 Average/94507: I am lost Solve the system by substitution. 3x – y = –7 x + y = –9 1 solutions Answer 68820 by scott8148(6628)   on 2007-08-26 19:03:59 (Show Source): You can put this solution on YOUR website!from first equation 3x+7=y ... using second equation x+(3x+7)=-9 ... 4x+7=-9 ... 4x=-16 ... x=-4 3(-4)-y=-7 ... -12+7=y ... -5=y
 Polynomials-and-rational-expressions/93974: I do not get how to do this nor which of the two formulas below that it needs to be done in. I tried it in both, and could not get it to work as I thought it would. In 1975 the population of the Earth was approximately 4 billion and doubling every 35 years. The formula for the population P in year Y for this doubling rate is P (in billions) = 4 ∙2^((y-1975)/35) The U.S. population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The above formula for the United States then becomes P (in millions) = 250 ∙2^((y-1990)/66) #82. Social science. What will the population of the United States be in 2025 if this growth rate continues? 1 solutions Answer 68460 by scott8148(6628)   on 2007-08-23 18:03:24 (Show Source): You can put this solution on YOUR website!the question says "United States" so the second formula applies ... P=250*2^((2025-1990)/66) P=250*2^(35/66) ... P=361.06
 Linear-systems/93996: The solution to the system of equations x + 3y = 12 4x - y = -17 is?1 solutions Answer 68439 by scott8148(6628)   on 2007-08-23 14:48:14 (Show Source): You can put this solution on YOUR website!x=12-3y ... 4(12-3y)-y=-17 ... 48-12y-y=-17 ... -13y=-65 ... y=5 ... x=12-3(5) ... x=-3
 Polynomials-and-rational-expressions/93841: Could some one please show me how to solve this equation. I am not sure how to turn it in to an equation. The diameter of the milky way disk is approximately meters. How long does ti take light, traveling at m/year to travel across the diameter of the milky way? 1 solutions Answer 68357 by scott8148(6628)   on 2007-08-22 17:32:14 (Show Source): You can put this solution on YOUR website!distance=rate*time so time=distance/rate ... t=(9x10^20 m)/(10^16 m/y) ... t=9x10^4 y
 Equations/93836: I need to solve this with a equation. The sport shop sells bicycles and tricycles and often has a selction of them sitting out for customers to try. While I was looking around, my son counted 70 wheels and 29 handlebars. How many bicycles and how many tricyles were there?1 solutions Answer 68354 by scott8148(6628)   on 2007-08-22 17:24:43 (Show Source): You can put this solution on YOUR website!70=2b+3t ... b+t=29 ... b=29-t ... 70=2(29-t)+3t ... 70=58-2t+3t ... 12=t ... b+12=29 ... b=17
 Trigonometry-basics/93810: This question is from textbook If sin A < 0 and tan A < 0, then A is in what quadrant? Can someone help me out?1 solutions Answer 68352 by scott8148(6628)   on 2007-08-22 17:17:11 (Show Source): You can put this solution on YOUR website!"All Students Take Calculus" ... this "memory crutch" tells you which trig functions (sin, cos, tan) are >=0 in each quadrant all in the first, sin in the second, tan in the third, and cos in the fourth so A is in the fourth quadrant
 Bodies-in-space/93231: using a lens with a 2 inch focal length [imagine distance], what is the height of the image when the subject is 180 foot high tree that is 600 feet away?1 solutions Answer 67878 by scott8148(6628)   on 2007-08-18 22:07:07 (Show Source): You can put this solution on YOUR website!2"/600'=image height/180' ... h=(2"(180'))/600' ... h=.6"
 expressions/93220: hi there, I am trying to simplify the following expression s=u.(v-u)/a + 1/2a((v-u)/a)^2 it should end up as v^2=u^2+2as please help beacuse I cant seam to get it to come out, I have expanded the brackets but still no joy. thankyou1 solutions Answer 67872 by scott8148(6628)   on 2007-08-18 21:39:05 (Show Source): You can put this solution on YOUR website!start by multiplying by 2a ... 2as=2u(v-u)+a^2((v-u)/a)^2 ... the a^2 cancels leaving 2as=2u(v-u)+(v-u)^2 expanding gives 2as=2uv-2u^2+v^2-2uv+u^2 ... collecting terms gives 2as=-u^2+v^2 ... adding u^2 gives u^2+2as=v^2 it helps to know the answer, but the first step of multiplying by 2a would be done anyway to eliminate the fractions
 Proportions/93138: This question is from textbook Strategies for Problem Solving workbook ok. ill give you the problem. the instuctor of and introductory computer course wants to make a wall chart of a computer desktop for her students.to make it realistic as possible,she would like the desktop icons to be proportional to the size of her 6'x6' chart. if the icons on her 15"x15" PC screen are 3/8"x3/8", how large should they be on her wall chart.1 solutions Answer 67804 by scott8148(6628)   on 2007-08-17 22:13:20 (Show Source): You can put this solution on YOUR website!the scaling factor from the screen to the chart is 15" to 6' ... 72"/15" ... the screen icon is 3/8" so the chart icon will be (3/8)(72/15) or 9/5 or 1.8"
 Linear-systems/93167: Solve the system of equations: {8x-4y=12 {6x-3y=9 A. (-1, 1) B. Dependent C. Inconsistent D. (1, -1) 1 solutions Answer 67803 by scott8148(6628)   on 2007-08-17 21:47:30 (Show Source): You can put this solution on YOUR website!multiplying the first equation by 3/4 results in the second equation ... this means the equations are the same there is no UNIQUE solution ... the solutions are dependent, answer B. FYI ... answer D. is one of the possible solutions
 Travel_Word_Problems/93048: Two trucks started toward each other at the same time from towns 270km apart. One truck averaged 70km/h and the other averaged 65km/h. after how many hours did they pass each other?1 solutions Answer 67791 by scott8148(6628)   on 2007-08-17 20:42:41 (Show Source): You can put this solution on YOUR website!distance=rate*time ... let t=time ... the trucks pass when their combined distance is 270 t(70)+t(65)=270 ... 135t=270 ... t=2
 Points-lines-and-rays/93001: Please help me. Find the perimeter of the given figure. The given figure is a rectangel. length Width 1 solutions Answer 67782 by scott8148(6628)   on 2007-08-17 17:08:09 (Show Source): You can put this solution on YOUR website!the perimeter is 2W+2L ... so you just add 4 fractions that already have a common denominator
 Equations/92990: x^3 - 4x^2 - 21x = 01 solutions Answer 67781 by scott8148(6628)   on 2007-08-17 16:58:56 (Show Source): You can put this solution on YOUR website!factoring gives (x)(x-7)(x+3)=0 ... so x=0, x=7, x=-3
 Triangles/92988: If a base angle of an isoceles triangle is 16 degrees more than half of the measure of its vertex angle, than the vertex angle is ? degrees? Please show solution using equation. Thank You!1 solutions Answer 67780 by scott8148(6628)   on 2007-08-17 16:55:27 (Show Source): You can put this solution on YOUR website!let x=vertex angle the angles of a triangle (ANY TRIANGLE) sum to 180 degrees ... the 2 base angles of an isoceles triangle are equal so, ((x/2)+16)+((x/2)+16)+x=180 ... 2x+32=180 ... 2x=148 ... x=74