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Alan3354 answered: 30973 problems
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Sequences-and-series/551026: 18,20,10,12,4,6,? 1 solutions Answer 359455 by Alan3354(30993)   on 2011-12-30 17:30:13 (Show Source): You can put this solution on YOUR website! Do you have a question?

Surface-area/551150: alex has two congruent cubes A and B. Cube A has a surface area of 540 in2. What the area of one face of cube B? 1 solutions Answer 359454 by Alan3354(30993)   on 2011-12-30 17:29:04 (Show Source): You can put this solution on YOUR website! alex has two congruent cubes A and B. Cube A has a surface area of 540 in2. What the area of one face of cube B? ------------ Surface area of a cube with edge length of s = 6s^2 --- sq inch for each cubes

Exponents/551151: If a = 2i - 2j - k and b = -4i + 3j - 2k a) find the angle between the vectors b) find the vector product. 1 solutions Answer 359452 by Alan3354(30993)   on 2011-12-30 17:24:19 (Show Source): You can put this solution on YOUR website! If a = 2i - 2j - k and b = -4i + 3j - 2k a) find the angle between the vectors b) find the vector product. ---------------- a) |a| = sqrt(2^2 + 2^2 + 1) = 3 |b| = sqrt(4^2 + 3^2 + 2^2) = sqrt(29) Dot product = 2*-4 + -2*3 + -1*-2 = -12 a dot b = |a|*|b|*cos(angle) -12 = 3sqrt(29)*cos(A) cos(A) = -12/3sqrt(29) A =~ 137.97 degs ---------------- b) |+i +j +k| |+2 -2 -1| = a X b |-4 +3 -2| = i*(4 + 3) - j*(-4 - 4) + k*(6 - 8) = 7i + 8j + 2k

test/551133: The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original number? Please help me solve this!! 1 solutions Answer 359444 by Alan3354(30993)   on 2011-12-30 17:03:00 (Show Source): You can put this solution on YOUR website! The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original number? ---------- t = 10s digit u = 1s digit --------- 10t + u = 2*(t+u) 10u + t = 4.5*(10t + u) ---- Can you finish it? -- PS it's = it is

Polynomials-and-rational-expressions/551140: Factor the expression 36a^2 - 60ab + 25b^2 into a product of binomials. 1 solutions Answer 359443 by Alan3354(30993)   on 2011-12-30 17:00:22 (Show Source): You can put this solution on YOUR website! Hint: both ends are squares

Polynomials-and-rational-expressions/551142: Factor the expression 49x^2 - 42xy + 9y^2 into a product of binomials. 1 solutions Answer 359442 by Alan3354(30993)   on 2011-12-30 16:55:48 (Show Source): You can put this solution on YOUR website! Factor the expression 49x^2 - 42xy + 9y^2 into a product of binomials. --------- Hint: When both ends are perfect squares, try that first.

Rational-functions/551141: Im taking pre calc as an online class and I'm in way over my head because they do not teach it in a way that I can understand AT ALL. please help, I need to know: If y varies directly as x, and y=7 when x=3 find y when x=7If y varies directly as x, and y=7 when x=3 find y when x=7 I have an idea, SO CONFUSED 1 solutions Answer 359438 by Alan3354(30993)   on 2011-12-30 16:48:23 (Show Source): You can put this solution on YOUR website! If y varies directly as x, and y=7 when x=3 find y when x=7 ---------------- y = k*x 7 = k*3 k = 7/3 ----------- when x = 7: y = (7/3)*7 y = 49/3

Triangles/551128: For a triangle with the sides 18,20,and 27, will the triangle be acute,right,or obtuse? Support your answer wit your work. 1 solutions Answer 359426 by Alan3354(30993)   on 2011-12-30 16:13:28 (Show Source): You can put this solution on YOUR website! For a triangle with the sides 18,20,and 27, will the triangle be acute,right,or obtuse? ---------- Compare and (c is the longest side) If they're equal, it's a right triangle. If c^2 is less, it's acute. If c^2 is greater, it's obtuse.

Exponential-and-logarithmic-functions/551120: This is preliminary for log and exp section. f(x)=5x x y -2 0.04 -1 0.2 0 1 1 5 2 25 3 125 4 625 I can't figure out no matter how I try, how the answers for y are calculated???? 1 solutions Answer 359422 by Alan3354(30993)   on 2011-12-30 16:01:42 (Show Source): You can put this solution on YOUR website! This is preliminary for log and exp section. f(x)=5x x y -2 0.04 -1 0.2 0 1 1 5 2 25 3 125 4 625 ------------- It's not 5x

Circles/551037: what is the circumference of a 3600 ml pool 1 solutions Answer 359414 by Alan3354(30993)   on 2011-12-30 15:27:34 (Show Source): You can put this solution on YOUR website! What is ml?

Equations/551013: (sin^2theta+cos^2theta-3)^4= 1 solutions Answer 359413 by Alan3354(30993)   on 2011-12-30 15:26:50 (Show Source): You can put this solution on YOUR website! (sin^2theta+cos^2theta-3)^4= -------- Is it cos^2(theta - 3) ? or cos^2(theta) - 3 ? ------------ = = 16

Triangles/551117: i want to solve for the length of the shorter leg of a right triangle, but all i know is that the hypotenuse is 39 units. and can you show your work please. 1 solutions Answer 359412 by Alan3354(30993)   on 2011-12-30 15:24:45 (Show Source): You can put this solution on YOUR website! i want to solve for the length of the shorter leg of a right triangle, but all i know is that the hypotenuse is 39 units. and can you show your work please. ------------ Not enough info.

test/551118: Two ships leave port at noon. One ship sails north at 6 miles per hour and the other sails east at 8 miles per hour. At what rate are the two ships separating 2 hours later? 1 solutions Answer 359411 by Alan3354(30993)   on 2011-12-30 15:23:57 (Show Source): You can put this solution on YOUR website! Two ships leave port at noon. One ship sails north at 6 miles per hour and the other sails east at 8 miles per hour. At what rate are the two ships separating 2 hours later? -------------- Their directions are 90 degs apart, so it's a right triangle. They separate at mi/hr at all times.

Graphs/551115: Which two lines are parallel? A. 5y = –3x – 5 B. 5y = –5 – 3x C. 3y – 2x = –1 Is the line through points P(–7, 2) and Q(7, –6) parallel to the line through points R(–1, –5) and S(–3, –1)? Explain. 1 solutions Answer 359410 by Alan3354(30993)   on 2011-12-30 15:21:21 (Show Source): You can put this solution on YOUR website! Which two lines are parallel? A. 5y = –3x – 5 B. 5y = –5 – 3x C. 3y – 2x = –1 ------------------- A & B are the same equation. Not parallel, but coincident. -------------------- Is the line through points P(–7,2) and Q(7,–6) parallel to the line through points R(–1,–5) and S(–3,–1)? Explain. ------------ Find the slope of each pair. Slope, m = diffy/diffx For P & Q, = (2 - (-6))/(-7 - 7) = 8/-14 m = -4/7 --------- Find the slope for R & S. If the slope is the same, they're parallel.

Trigonometry-basics/551071: What Is The Product Of (2 - The Square Root Of 7) &Its Conjugate 1 solutions Answer 359409 by Alan3354(30993)   on 2011-12-30 15:15:24 (Show Source): You can put this solution on YOUR website! What Is The Product Of (2 - The Square Root Of 7) &Its Conjugate ------- = = -3

Triangles/551084: what is the side of triangle having are 84 sq.cm.and the perimeter is 21 cm. 1 solutions Answer 359408 by Alan3354(30993)   on 2011-12-30 15:12:56 (Show Source): You can put this solution on YOUR website! what is the side of triangle having are 84 sq.cm.and the perimeter is 21 cm. ----------- Unless there is more info, there's no unique solution.

Average/551111: on 11 quiz grades, the average is 93. If a teacher drops the lowest grade of 81, what is the new average? 1 solutions Answer 359407 by Alan3354(30993)   on 2011-12-30 15:11:17 (Show Source): You can put this solution on YOUR website! on 11 quiz grades, the average is 93. If a teacher drops the lowest grade of 81, what is the new average? ------------- Find the total points, = 11*93 = 1023 Subtract 81, --> 942 Now there are 10 grades 942/10 = 94.2

test/551112: Tony walked 1 1/4 miles, Bill walked 1 1/6 miles, and Kate walked 1 1/3 miles. Which inequality below orders the distance from least to greatest? A.1 1/6<1 1/3<1 1/4 B.1 1/3<1 1/4<1 1/6 C.1 1/6>1 1/4>1 1/3 D.1 1/6<1 1/4< 1 1/3 1 solutions Answer 359406 by Alan3354(30993)   on 2011-12-30 15:09:46 (Show Source): You can put this solution on YOUR website! Tony walked 1 1/4 miles, Bill walked 1 1/6 miles, and Kate walked 1 1/3 miles. Which inequality below orders the distance from least to greatest? A.1 1/6<1 1/3<1 1/4 B.1 1/3<1 1/4<1 1/6 C.1 1/6>1 1/4>1 1/3 D.1 1/6<1 1/4< 1 1/3 ----------------------- You can do this by finding a common denominator for the fractions, or by converting the fractions to decimals.

Miscellaneous_Word_Problems/551083: If a stone is tossed from the top of a 210 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 210, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer. I got -10(9.8t^2 - 10t + 210)=0 98t + 100t - 2100 49t^2 + 50t - 1050 t= 4.15 seconds Am I close?? 1 solutions Answer 359405 by Alan3354(30993)   on 2011-12-30 15:07:26 (Show Source): You can put this solution on YOUR website! If a stone is tossed from the top of a 210 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 210, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer. I got -10(9.8t^2 - 10t + 210)=0 98t + 100t - 2100 49t^2 + 50t - 1050 t= 4.15 seconds Am I close?? -------------------- Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=8332 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -5.16733620703838, 4.14692804377307. Here's your graph: 4.15 is the correct solution, but ------ On Earth, it's h(t) = -4.9t2 – 10t + 210, not -9.8t^2 The -10t indicates it was thrown at 10 m/sec downward. -------- I got -10(9.8t^2 - 10t + 210)=0 98t + 100t - 2100 **** you dropped the = 0 here 49t^2 + 50t - 1050 -------- Where did you get the equation with the -9.8t^2 ?

logarithm/551033: Please write the following equations in logarithm form 4^5=1024 5^-1=1/5 14^2=196 1 solutions Answer 359333 by Alan3354(30993)   on 2011-12-30 09:37:17 (Show Source): You can put this solution on YOUR website! Please write the following equations in logarithm form 4^5=1024 5^-1=1/5 14^2=196 --------- Hint: the log is the exponent. The number raised to the exponent is the base. ---- 4^5=1024 --- Try the others. email via the Thank You note or at MoralLoophole@aol.com and I'll assist or check your work.

Graphs/551047: y=f(x)=5^x Finding the correct graph 1 solutions Answer 359332 by Alan3354(30993)   on 2011-12-30 09:34:08 (Show Source): You can put this solution on YOUR website! y=f(x)=5^x Finding the correct graph ------------ I think you have to make it. dl the FREE graph software at http://www.padowan.dk ------ Use Insert, then 5^x

Angles/551057: the sum of two numbers is 63. if one number is twice the other, what are the numbers? 1 solutions Answer 359331 by Alan3354(30993)   on 2011-12-30 09:32:44 (Show Source): You can put this solution on YOUR website! 21 & 42

Trigonometry-basics/550916: Solve: sin2x = cos x , 1 solutions Answer 359260 by Alan3354(30993)   on 2011-12-29 20:59:49 (Show Source): You can put this solution on YOUR website! Solve: sin2x = cos x , ---------- sin(2x) = cos(x) 2sin(x)cos(x) = cos(x) 2sin(x)cos(x) - cos(x) = 0 cos(x)*(2sin(x) - 1) = 0 cos(x) = 0 x = pi, -pi ------------ 2sin(x) = 1 sin(x) = 1/2 x = pi/6, 5pi/6, -11pi/6, -7pi/6

logarithm/550947: A bacteria population doubles every eight minutes. If the population begins with one cell, how long will it take to grow to 2,097,152 cells? 1 solutions Answer 359259 by Alan3354(30993)   on 2011-12-29 20:55:39 (Show Source): You can put this solution on YOUR website! A bacteria population doubles every eight minutes. If the population begins with one cell, how long will it take to grow to 2,097,152 cells? ---------- That's 2^21, so it's 21 time periods. 21*8 = 168 minutes

Quadratic_Equations/550953: (2, -27) (3, -51) (4, -83) 1 solutions Answer 359258 by Alan3354(30993)   on 2011-12-29 20:54:02 (Show Source): You can put this solution on YOUR website! Do you have a question?

Rate-of-work-word-problems/550936: i am really stuck on this problem can anybody help me, thanks! One computer can process a payroll in 6 h. An older computer can do the same job in 7 h 30 min. how long would it take both computers to do the processing? 1 solutions Answer 359238 by Alan3354(30993)   on 2011-12-29 18:38:37 (Show Source): You can put this solution on YOUR website! i am really stuck on this problem can anybody help me, thanks! One computer can process a payroll in 6 h. An older computer can do the same job in 7 h 30 min. how long would it take both computers to do the processing? ------------ Hint: 1 computer does 1/6 of the payroll in an hour. The other does 1/7.5 in an hour. What do they do together?

logarithm/550781: How do you expand log4X^2y^3z^5 ? 1 solutions Answer 359235 by Alan3354(30993)   on 2011-12-29 18:11:44 (Show Source): You can put this solution on YOUR website! How do you expand log4X^2y^3z^5 ? ------------ = = --------- If that's not clear, email via the Thank You note.

Linear-equations/550908: I need the derivative of : y = e^x - e^-x The answer is supposed to be y' = e^x + e^-x I want to know how to do this. Is there a solver on algebra.com to do this? Thank you 1 solutions Answer 359232 by Alan3354(30993)   on 2011-12-29 18:05:49 (Show Source): You can put this solution on YOUR website! I need the derivative of : y = e^x - e^-x The answer is supposed to be y' = e^x + e^-x I want to know how to do this. Is there a solver on algebra.com to do this? ------------------ Do you know the derivative of e^x? --------- Here's a solver. ------ http://www.calc101.com/ It will do them free. If you want to see the steps, it's $25/year.

Numbers_Word_Problems/550927: The sum of two numbers is 23. If one of the numbers is halved, the sum will become 17. What are the numbers? 1 solutions Answer 359231 by Alan3354(30993)   on 2011-12-29 18:03:47 (Show Source): You can put this solution on YOUR website! 12 & 11

test/550928: Need to know..length of hypotenuse, if right angle, a=6 b=8. Then what is formula for c? 1 solutions Answer 359229 by Alan3354(30993)   on 2011-12-29 17:56:32 (Show Source): You can put this solution on YOUR website! Need to know..length of hypotenuse, if right angle, a=6 b=8. Then what is formula for c? -------------- It's the Pythagorean Theorem.

Graphs/550924: how would i solve this problem- 3x+4y=8;(4,-3) I don't get how to seperate the x from the y 1 solutions Answer 359228 by Alan3354(30993)   on 2011-12-29 17:54:14 (Show Source): You can put this solution on YOUR website! how would i solve this problem- 3x+4y=8;(4,-3) I don't get how to seperate the x from the y ---------- What do you mean by solve? What do you want to do?