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# Recent problems solved by 'Alan3354'

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 CONFUSED1 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 pool1 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=1961 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 you1 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 y1 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?