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Alan3354 answered: 30973 problems
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Equations/470714: "d= r x t" for "r" 1 solutions Answer 322902 by Alan3354(30993)   on 2011-07-15 18:02:49 (Show Source): You can put this solution on YOUR website! "d= r x t" for "r" -------------- Use the asterisk for multiply, x is often used as a variable. d = r*t or d = rt --------------- d = rt Divide by t r = d/t rate = distance/time, eg, miles/hr, or km/hr, or meters/sec

Linear_Equations_And_Systems_Word_Problems/470713: write an equation of a line in standard form: Ax+By=C Given: points(3,2) and (4,9) 1 solutions Answer 322899 by Alan3354(30993)   on 2011-07-15 17:31:25 (Show Source): You can put this solution on YOUR website! write an equation of a line in standard form: Ax+By=C Given: points(3,2) and (4,9) -------------- |x y 1| |3 2 1| = 0 |4 9 1| ---------- x*(2-9) - y*(3-4) + (27-8) = 0 -7x + y + 19 = 0 7x - y = 19

Travel_Word_Problems/470705: light travels at 3.0 x 10 to the 8th power meters/second. A light year is the distance light travels in one year. given that there are 3.15 x 10 to the 7th power seconds in one year,how many meters are in a light year. 1 solutions Answer 322897 by Alan3354(30993)   on 2011-07-15 17:29:11 (Show Source): You can put this solution on YOUR website! light travels at 3.0 x 10 to the 8th power meters/second. A light year is the distance light travels in one year. given that there are 3.15 x 10 to the 7th power seconds in one year,how many meters are in a light year. --------------- 3E8 m/sec * 3.15E7 sec/yr = 9.45E15 m/yr or m/yr --> 9.45*10^15 meters

logarithm/470693: 3) Write log6 (7) = x as an exponential equation. Use your calculator to evaluate x to four decimal places. __________ is the exponential form of the equation. X= __________ 1 solutions Answer 322872 by Alan3354(30993)   on 2011-07-15 15:54:17 (Show Source): You can put this solution on YOUR website! Write log6 (7) = x ----------- ----------- Use your calculator to evaluate x to four decimal places. x = log(7)/log(6) x =~ 1.0860

Volume/470681: I was given the volume of a right cylinder (Volume = 190 cubic cm). I am asked to find and label the dimensions of the cylinder. I also need to show my calculations and measurements! Help!!! 1 solutions Answer 322864 by Alan3354(30993)   on 2011-07-15 15:00:49 (Show Source): You can put this solution on YOUR website! The volume of a cylinder is There are an infinite # of combinations of r and h that fit.

Trigonometry-basics/470625: if sinx=1/3, secy=5/3. fine the exact values of a) tan(x+y) b) cos (x-y) c) sin^2(x) + cos^2(y) can anyone show me how can i atleast start the question? method? thanks 1 solutions Answer 322863 by Alan3354(30993)   on 2011-07-15 14:51:01 (Show Source): You can put this solution on YOUR website! if sinx=1/3, secy=5/3. fine the exact values of a) tan(x+y) b) cos (x-y) c) sin^2(x) + cos^2(y) ------------- sin(x) = 1/3 --------- tan(x) = sin(x)/cos(x) = sqrt(2)/4 ----------------- sec(y) = 5/3 cos(y) = 3/5 sin(y) = 4/5 tan(y) = sin(y)/cos(y) = 4/3 ------------ a) = = = = exactly =~ 3.191 -------------------- b) cos (x-y) = cos(x)cos(y) + sin(x)sin(y) = = exactly =~ 0.832352 ------------ c) sin^2(x) + cos^2(y) = 1/9 + 9/25 = 106/225

Triangles/470556: solve the area of the triangle with a base = 2 meters and height =12 meters A = 1/2 bh 1 solutions Answer 322827 by Alan3354(30993)   on 2011-07-15 12:59:42 (Show Source): You can put this solution on YOUR website! A = (1/2)*2*12 sq meters

Quadratic_Equations/470590: y=-x^2+20x-4 1 solutions Answer 322805 by Alan3354(30993)   on 2011-07-15 10:32:09 (Show Source): You can put this solution on YOUR website! It's +10 ± ... as the other tutor had.

Linear-equations/470614: find the distance of the point (2,5) from the line 3x+y+4=0 measured parallel to a line having slope 3/4? 1 solutions Answer 322804 by Alan3354(30993)   on 2011-07-15 10:21:45 (Show Source): You can put this solution on YOUR website! find the distance of the point (2,5) from the line 3x+y+4=0 measured parallel to a line having slope 3/4? ----------------- 1st find the equation of the line thru (2,5) with a slope of 3/4 Use y = mx + b and the point 5 = (3/4)*2 + b b = 7/2 --> y = (3/4)x + 7/2 ---------- Then find the point of intersection of the 2 lines. 3x + y + 4 = 0 y = (3/4)x + 7/2 Sub for y in the 1st eqn 3x + 3x/4 + 7/2 + 4 = 0 x = -2, y = 2 ---------------- Find the distance from (2,5) to (-2,2) d = 5

Volume/470451: my refridgerator is 2 ft 8 inches from left to right 2 ft 6 inches from front to back 5 ft 8 inches from top to bottom what is the measurements in cubic ft. 1 solutions Answer 322717 by Alan3354(30993)   on 2011-07-14 21:18:34 (Show Source): You can put this solution on YOUR website! And people think metric is hard, or complicated.

Linear-equations/470453: A balloon takes off from a location that is 107 ft above sea level. It rises 48 ft/min. Write an equation to model the balloon’s elevation h as a function of time t. 1 solutions Answer 322716 by Alan3354(30993)   on 2011-07-14 21:17:11 (Show Source): You can put this solution on YOUR website! h(t) = 107 + 48t, h in feet, t in minutes

Probability-and-statistics/470490: Can someone help me with this? Outside a home, there is a 5-key keypad with letters A,B,C,D and E that can be used to open the garage if the correct five letter code is entered. Each key may be used only once. How many codes are possible? The number of possible codes is= 1 solutions Answer 322714 by Alan3354(30993)   on 2011-07-14 21:16:15 (Show Source): You can put this solution on YOUR website! 5*4*3*2*1 = 120

Evaluation_Word_Problems/470499: PLEASE HELP !!!!!!!I don't understand how to do this problem. can you please show work. 2/3 7/(8-4x)5/-8 3/=8 1 solutions Answer 322713 by Alan3354(30993)   on 2011-07-14 21:15:33 (Show Source): You can put this solution on YOUR website! That's not clear. Not even close.

Angles/470528: The following angles are supplementary angles. Determine the measures of and . Please show all your work for full credit. 1 solutions Answer 322712 by Alan3354(30993)   on 2011-07-14 21:14:18 (Show Source): You can put this solution on YOUR website! Nothing followed.

Exponential-and-logarithmic-functions/470392: Approximate the number using a calculator. Round your answer to three decimal places. 3.6 radius or pie symbol 1 solutions Answer 322663 by Alan3354(30993)   on 2011-07-14 15:29:40 (Show Source): You can put this solution on YOUR website! 3.6 radius or pie symbol Not sure what that means. -------------------- Use the Greek letter pi, tho, not the dessert, pie.

Probability-and-statistics/470395: A coin is tossed 20 times in a row. How many different outcomes are possible if we care about the order that the coin is tossed? 1 solutions Answer 322661 by Alan3354(30993)   on 2011-07-14 15:28:18 (Show Source): You can put this solution on YOUR website!

Exponential-and-logarithmic-functions/470407: Solve the logarithmic equation using the one-to-one property. log (x + 5) = log (5x - 4) 1 solutions Answer 322660 by Alan3354(30993)   on 2011-07-14 15:27:29 (Show Source): You can put this solution on YOUR website! log (x + 5) = log (5x - 4) x + 5 = 5x - 4 -4x = -9 x = 9/4

Exponential-and-logarithmic-functions/470404: Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm. 6 log b ^m -log b^ n 1 solutions Answer 322659 by Alan3354(30993)   on 2011-07-14 15:26:05 (Show Source): You can put this solution on YOUR website! 6 log b ^m -log b^ n = or

Exponential-and-logarithmic-functions/470405: Solve the equation by expressing each side as a power of the same base and then equating exponents. (One to one property) 4(1 + 2x) = 64 1 solutions Answer 322658 by Alan3354(30993)   on 2011-07-14 15:24:20 (Show Source): You can put this solution on YOUR website! 1+2x = 3 2x = 2 x = 1

Exponential-and-logarithmic-functions/470408: Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 3 x + 6 = 8 1 solutions Answer 322656 by Alan3354(30993)   on 2011-07-14 15:23:29 (Show Source): You can put this solution on YOUR website! What is the exponent? Use ^ for exponents, shift 6.

Polynomials-and-rational-expressions/470419: Find a polynomial function of degree 3 with the given numbrs as zeros. -3,4i,-41 1 solutions Answer 322654 by Alan3354(30993)   on 2011-07-14 15:22:34 (Show Source): You can put this solution on YOUR website! Find a polynomial function of degree 3 with the given numbrs as zeros. -3,4i,-41 ------------- If 4i is a zero, then -4i has to be also. That's a total of 4 zeroes, so no 3rd order equation is possible.

Travel_Word_Problems/470369: A train travels at 40 mph for the first part of a 975 mile trip. After a while, it increases its speed to 45 mph. The trip took 30 hours in total. For how many hours did the train travel at 45 mph? 1 solutions Answer 322635 by Alan3354(30993)   on 2011-07-14 14:37:48 (Show Source): You can put this solution on YOUR website! 975/30 = 32.5 mph average for the trip There's no way to average 32.5 when moving at 40 or 45 mph

Average/470355: round the mixed number to the nearest whole number 2 7/8 and 7 5/12 1 solutions Answer 322624 by Alan3354(30993)   on 2011-07-14 14:12:54 (Show Source): You can put this solution on YOUR website! 2+7 = 9 7/8 + 5/12 = (84 + 40)/96 = 31/24 = 1 7/24 =~ 1 --> 10

Money_Word_Problems/470366: How do you work this problem? and yes I did try to do this before coming here. "i = $125 r = 6% t = 1 Find p." 1 solutions Answer 322621 by Alan3354(30993)   on 2011-07-14 14:09:42 (Show Source): You can put this solution on YOUR website! If i is the interest, and p is the principal i = r*p 125 = 0.06*p p = 125/0.06 p=~ $2083.33

Equations/470325: i need help solving 8a squared +23a -3 1 solutions Answer 322609 by Alan3354(30993)   on 2011-07-14 12:25:53 (Show Source): You can put this solution on YOUR website! I can see why, it's not an equation. There's no equal sign, nothing to be solved.

Numbers_Word_Problems/470301: Find 2 consecutive integers whose sum is 279. 1 solutions Answer 322592 by Alan3354(30993)   on 2011-07-14 11:14:51 (Show Source): You can put this solution on YOUR website! 279/2 = 139.5, the center --> 139 & 140

Equations/470276: Please can someone help. Thank You. Solve the equation. Be sure to show all of your work. -14a + 3 = 10 1 solutions Answer 322591 by Alan3354(30993)   on 2011-07-14 10:45:51 (Show Source): You can put this solution on YOUR website! Solve the equation. Be sure to show all of your work. -14a + 3 = 10 ---------------- Subtract 3 -14a = 7 Divide by 14 -a = 1/2 Divide by -1 a = -1/2

Graphs/470294: find the x- and y- intercepts for the qquation and show all work. grpah the equation 2x + 3y =15 1 solutions Answer 322590 by Alan3354(30993)   on 2011-07-14 10:42:41 (Show Source): You can put this solution on YOUR website! find the x- and y- intercepts for the qquation and show all work. grpah the equation 2x + 3y =15 ---------------------- The y-intercept is the point where the graph crosses the y-axis. At that point, x = 0 ------------- 2x + 3y =15 Sub 0 for x and find y 3y = 15 y = 5 --> the point (0,5) ---------------------- For the x-intercept, do the same with y=0 Plot the 2 points, draw a line thru them.

Mixture_Word_Problems/470212: Mark is in training for a marathon race. He has been training by running 10 miles each day. He will be increasing his running by this weekly formula: . Compute the distance Mark will run if he continues using the formula, for 52 weeks (x = 52). Does this distance seem reasonable? 1 solutions Answer 322589 by Alan3354(30993)   on 2011-07-14 10:32:36 (Show Source): You can put this solution on YOUR website! What formula?

Linear-equations/470192: Find the area of a rectangle with the vertices at (0,9) (0,-4) (5,-4) and (5,9) 1 solutions Answer 322579 by Alan3354(30993)   on 2011-07-14 09:42:47 (Show Source): You can put this solution on YOUR website! Find the area of a rectangle with the vertices at (0,9) (0,-4) (5,-4) and (5,9) ---------------- it's 5 by 13 Area = 65 ----------------- Here's a general solution: Label the points in order: A(0,9) B(0,-4) C(5,-4) and D(5,9) ------------- A B C D A 0 0 5 5 0 9-4-4 9 9 ---------- Add the diagonal products from the upper left: 0 + 0 + 45 + 45 = 90 Add the diagonal products from the lower left: 0 - 20 - 20 + 0 = -40 The difference is 130 The area is 1/2 that = 65 sq units. --------------------- It works for all polygons, any number of sides.

Travel_Word_Problems/470166: ken makes a 4-mile motorboat trip downstream in 20 minutes ( 1/3 hr). The return trip takes 30 minutes (1/2 hr). Find the rate of the boat in still water and the rate of the current 1 solutions Answer 322577 by Alan3354(30993)   on 2011-07-14 09:20:39 (Show Source): You can put this solution on YOUR website! ken makes a 4-mile motorboat trip downstream in 20 minutes ( 1/3 hr). The return trip takes 30 minutes (1/2 hr). Find the rate of the boat in still water and the rate of the current --------- 4 mi/(1/3) hr = 12 mi/hr 4 mi/(1/2) hr = 8 mi/hr ------------- The boat's speed is the average = (12 + 8)/2 = 10 mph ----------- The current is the difference = 12 - 10 = 2 mph