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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Exponential-and-logarithmic-functions/301789: log sub 2 (x^3 + 3) = 2. I have tried a couple of times to solve this one. I keep ending up with the wrong answer. The correct answer is 1. How do I get there from here? 1 solutions Answer 216398 by Alan3354(30993)   on 2010-05-07 18:39:40 (Show Source): You can put this solution on YOUR website! log sub 2 (x^3 + 3) = 2 x = 1 ----- There are 2 other values of x, but they're complex numbers.

logarithm/301792: log base 5 of 175 1 solutions Answer 216397 by Alan3354(30993)   on 2010-05-07 18:36:11 (Show Source): You can put this solution on YOUR website! = log(175)/log(5) ----------------- Or ln(175)/ln(5) =~ 3.209062

Polynomials-and-rational-expressions/301794: How can I get the LCD from this problem!! I really need some help!!Thank you Diane Chavez 4/x+6=6/x How do I get an LCD, they are saying the LCD is x(x+3), how can that be? I am really confused please help!! This needs to be solved, and I cannot do it! 1 solutions Answer 216395 by Alan3354(30993)   on 2010-05-07 18:34:33 (Show Source): You can put this solution on YOUR website! There is no x+3 There's x+6 The LCD is x(x+6). There's a typo somewhere

Equations/301776: Write equations for the vertical and horizontal lines passing through the point (-3,5) Vertical line: Horizontal line: 1 solutions Answer 216389 by Alan3354(30993)   on 2010-05-07 17:57:38 (Show Source): You can put this solution on YOUR website! It's a point (x,y) The x is -3 The y is 5 Can you take it from there?

Numeric_Fractions/301775: 2 2 What is x? 2x + x = 1 solutions Answer 216387 by Alan3354(30993)   on 2010-05-07 17:55:48 (Show Source): You can put this solution on YOUR website! What is 2 2? What do you mean by that?

Numbers_Word_Problems/301779: the sum of 2 numbers is 12 and their product is 35 1 solutions Answer 216385 by Alan3354(30993)   on 2010-05-07 17:54:29 (Show Source): You can put this solution on YOUR website! Hint: The only factors of 35 are 5 & 7.

Numbers_Word_Problems/301777: a room contain 143 sq ft is 2 ft longer than it is wide. how long is a piece of molding to trim the perimeter 1 solutions Answer 216384 by Alan3354(30993)   on 2010-05-07 17:46:17 (Show Source): You can put this solution on YOUR website! You can do math, or you can use some common sense. The only factors of 143 are 11 & 13. P = 2*11 + 2*13 = 48 feet

Sequences-and-series/301739: what is the sum of the first 15 terms in the geometric sequence 2,4,8...? 1 solutions Answer 216358 by Alan3354(30993)   on 2010-05-07 15:42:32 (Show Source): You can put this solution on YOUR website! what is the sum of the first 15 terms in the geometric sequence 2,4,8...? ----------------- It's 2*(1,2,4,8...) = 2*(2^15 - 1) = 2^16 - 2 = 65534

Bodies-in-space/301663: A cubic box 'A' has sides of length a and another cubic box 'B' has sides of length 3a. How many boxes A could fit into a single box B? 1 solutions Answer 216321 by Alan3354(30993)   on 2010-05-07 12:27:17 (Show Source): You can put this solution on YOUR website! The volume of A is a^3 The volume of B is (3a)^3 = 27a^3 The volume is 27 times --> 27 boxes

Trigonometry-basics/301709: Find the amplitude and period of each function??? STEPS!!? y = 3 sin 4x y = -2 sin 8x 1 solutions Answer 216320 by Alan3354(30993)   on 2010-05-07 12:24:50 (Show Source): You can put this solution on YOUR website! y = 3 sin 4x Amp = 3 The period is 2pi/4 = pi/2 ---------------------------- y = -2 sin 8x Amp = 2 Period = 2pi/8 = pi/4

Polygons/301662: A regular polygon has 6 sides. What is the degree measure of the angle,within the polygon, between any two sides? 1 solutions Answer 216319 by Alan3354(30993)   on 2010-05-07 12:20:15 (Show Source): You can put this solution on YOUR website! A regular polygon has 6 sides. What is the degree measure of the angle,within the polygon, between any two sides? ---------------------- The total of the EXTERIOR angles is always 360, so each one is 360/6 = 60 degs The interior = 180 - 60 = 120 degrees

Travel_Word_Problems/301703: 2 trains leave the terminal at the same time. the first one travels at 57 miles per hour the other at 42 miles an hour when will the be 30 miles apart 1 solutions Answer 216317 by Alan3354(30993)   on 2010-05-07 11:56:39 (Show Source): You can put this solution on YOUR website! They're separating at 15 mph 30/15 = 2 hours

Rectangles/301701: The area of a square is 64cm. how do i find the lenght of one diagnol 1 solutions Answer 216316 by Alan3354(30993)   on 2010-05-07 11:41:11 (Show Source): You can put this solution on YOUR website! All sides are the same length Area = s^2 = 64 sq cm (not cm) s = 8 cm ------ d =~ 11.31 cm

Finance/301698: Find the perimeter of a retangle that has a length of 6 miles and a width of 9 miles. 1 solutions Answer 216315 by Alan3354(30993)   on 2010-05-07 11:38:51 (Show Source): You can put this solution on YOUR website! P = 2*6 + 2*9 P = 30 miles

Volume/301700: What is the volume of a pyramid 5 feet tall if its base is a square 4 feet by 4 feet? I tried it several times, but I'm worried that I'm not doing it right. Volume = 1/3 x Length to the second power x Height Volume = 1/3 x (4x4) x 5 = 1/3 x 16/1 x 5/1 = 80/3 = 26 2/3 cubic feet. This is for my final exam in pre-algebra. Please let me know if I did this wrong, thank you. 1 solutions Answer 216314 by Alan3354(30993)   on 2010-05-07 11:38:02 (Show Source): You can put this solution on YOUR website! It's correct.

percentage/301690: last month, a factory produced 800 television sets. this month, the same factory produced 1064 television sets. the increase in production from last month to this month is 1 solutions Answer 216313 by Alan3354(30993)   on 2010-05-07 11:22:53 (Show Source): You can put this solution on YOUR website! 264 TVs

percentage/301691: an electronic device that previously sold for $21 has been reduced to $17.43. the price reduction, rounded to the nearest whole percent, is 1 solutions Answer 216312 by Alan3354(30993)   on 2010-05-07 11:21:58 (Show Source): You can put this solution on YOUR website! The price change is $3.57 ($21 - $17.43) 357/2100 = 17/100 = 17% decrease

Probability-and-statistics/301693: How do you solve the following A Social Security is a code made up of 3 digits - 2 digits - 4 digits. If repetition of numbers were not permitted in ss numbers how many different ss # would be possible? 1 solutions Answer 216310 by Alan3354(30993)   on 2010-05-07 11:11:24 (Show Source): You can put this solution on YOUR website! It's 9 digits. The 1st can be one of 10 (assuming it can be zero). Then 1 of 9, 1 of 8, etc --> 10*9*8*7... = 10! (10 factorial)

Linear-equations/301692: please help me solve this equation. My email address is hgbeck@aol.com. Thank you so much. S = -16t^2 + v*t + 6 1 solutions Answer 216309 by Alan3354(30993)   on 2010-05-07 11:09:40 (Show Source): You can put this solution on YOUR website! Solve it for what? It's solved for S as it is.

Finance/301694: Find the perimeter of a polygon with side lengths of 5 1/4ft., 3 3/5ft, 3ft, 2ft, and 7th. 1 solutions Answer 216308 by Alan3354(30993)   on 2010-05-07 11:08:32 (Show Source): You can put this solution on YOUR website! Just add those up. I don't know what "7th" is.

Rational-functions/301680: how do you graph f(x)=1/(x)+1 1 solutions Answer 216307 by Alan3354(30993)   on 2010-05-07 10:56:03 (Show Source): You can put this solution on YOUR website! Pick values of x and find y y = f(x) Plot the points, draw a curve thru them. ------------- You can use Excel to do the calculating, or dl the FREE graph software from http://www.padowan.dk.com

Radicals/301676: Solve: (x^2 - 5x +5)^(x^2 - 9x +20) = 1 1 solutions Answer 216302 by Alan3354(30993)   on 2010-05-07 10:31:58 (Show Source): You can put this solution on YOUR website! Solve: (x^2 - 5x +5)^(x^2 - 9x +20) = 1 ------------ Either (x^2 - 5x +5) = 1 or -1, or x^2 - 9x +20 = 0 ------------------- If (x^2 - 5x +5) = -1, then the exponent has to be an even integer. --------------------- x^2 - 9x +20 = 0 (x-5)*(x-4) = 0 x = 5 x = 4 ------- (x^2 - 5x +5) = +1 x^2 - 5x + 4 = 0 x = 1 x = 4 ------ ------ Try the -1 (x^2 - 5x +5) = -1 x^2 - 5x + 6 = 0 x = 2 x = 3 The x=2 will give an even exponent and is valid The x=3 --> an even exponent too. x = 2, 3, 4 or 5

Trigonometry-basics/301685: A radius with a gear of 4 inches turns though an angle of 7(pi)/8 radians. WHat distance does a point on the edge of the gear travel as the gear turns through this angle? Round your answer to the nearest tenth. PLEASE HELP! Show steps so I understand. :(( 1 solutions Answer 216301 by Alan3354(30993)   on 2010-05-07 10:29:44 (Show Source): You can put this solution on YOUR website! A radius with a gear of 4 inches turns though an angle of 7(pi)/8 radians. WHat distance does a point on the edge of the gear travel as the gear turns through this angle? Round your answer to the nearest tenth. ------------ Or a gear with a radius .... Using radians makes it easy: s = r*angle s = 4*7*pi/8 = 7pi/2 inches s =~ 11 inches

Rational-functions/301678: how do you graph f(x)=1/(x-3) 1 solutions Answer 216300 by Alan3354(30993)   on 2010-05-07 10:27:34 (Show Source): You can put this solution on YOUR website! Pick values of x and find y y = f(x) Plot the points, draw a curve thru them. ------------- You can use Excel to do the calculating, or dl the FREE graph software from http://www.padowan.dk.com

Reduction-of-unit-multipliers/301681: How Many Solutions Exist For y=5x^2+4x+6 ? 1 solutions Answer 216291 by Alan3354(30993)   on 2010-05-07 10:10:15 (Show Source): You can put this solution on YOUR website! 2 It's 2nd order, it's always 2. Sometimes the 2 solutions are equal, eg, x^2 + 2x + 1 = 0 has solutions -1 and -1.

logarithm/301673: log 0.000015 = x ln 13 = x ln 15.42 = x 1 solutions Answer 216289 by Alan3354(30993)   on 2010-05-07 09:58:09 (Show Source): You can put this solution on YOUR website! Do you not have a calculator?

Miscellaneous_Word_Problems/301677: a scuba diver at a depth of 80ft begins her ascent to the ocean surface. Her rate of change in depth is 2ft/s. Which equation represents her depth in feet t seconds after she begins her ascent? 2t-80, 80-2t, -80-2t, 80+2t 1 solutions Answer 216288 by Alan3354(30993)   on 2010-05-07 09:56:58 (Show Source): You can put this solution on YOUR website! She starts at 80 ft Each second, her depth is 2 feet less --> 80 - 2t

Points-lines-and-rays/301666: triangle a=5 b=7 what is value of c 1 solutions Answer 216267 by Alan3354(30993)   on 2010-05-07 08:46:27 (Show Source): You can put this solution on YOUR website! Insufficient data.

Volume/301665: What is the formula to calculate the square footage of an irregularly shaped area when you only have the length of the perimeter? 1 solutions Answer 216266 by Alan3354(30993)   on 2010-05-07 08:39:06 (Show Source): You can put this solution on YOUR website! email me via the thank you note and I'll send a method. I have to scan and attach documents, hard to do it on this site. Send an example if you have one.

logarithm/301540: I have a word problem, the textbook question is "There are 5400 ants in a colony. If there were 1200 ants in the colony 8 months ago, what is the monthly rate of growth?" I think the equation is written as but I'm not sure. Either way, I still can't figure out how to solve it. Any help would be much appreciated!! 1 solutions Answer 216210 by Alan3354(30993)   on 2010-05-06 21:04:36 (Show Source): You can put this solution on YOUR website! "There are 5400 ants in a colony. If there were 1200 ants in the colony 8 months ago, what is the monthly rate of growth?" ----------------------- If the number increases linearly, it's (5400 - 1200)/8 = 525/month ------------------- It's more likely to be an exponential increase, tho, with a constant growth. 5400 = 1200*e^rt (t in months) e^(8r) = 5400/1200 = 4.5 8r = ln(4.5) r = ln(4.5)/8 =~ 0.188 ------------------------ If it's done on a monthly basis: 5400 = 1200(1 + r)^8 (1+r)^8 = 4.5 1+r = 4.5^(1/8) r = 4.5^(1/8) - 1 r =~ 0.206845

Bodies-in-space/301450: A sphere of the radius 7 cm is intersected by a plane passing 6 cm from its center. Determine the area of the circle of the intersection. 1 solutions Answer 216208 by Alan3354(30993)   on 2010-05-06 20:54:46 (Show Source): You can put this solution on YOUR website! A sphere of the radius 7 cm is intersected by a plane passing 6 cm from its center. Determine the area of the circle of the intersection. ----------- Find the radius Area = pi*r^2 = 13pi sq cm