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# Recent problems solved by 'Alan3354'

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 Percentage-and-ratio-word-problems/234875: brenda practiced basetball for 3 1/2 hours every day. her brother jason practices for 1 3/4 hours every day. how much more time dodes Brenda spend practicing each day?1 solutions Answer 173867 by Alan3354(30993)   on 2009-11-07 11:08:16 (Show Source): You can put this solution on YOUR website!brenda practiced basetball for 3 1/2 hours every day. her brother jason practices for 1 3/4 hours every day. how much more time dodes Brenda spend practicing each day? ------------ 3.5 - 1.75 = 1.75 hours more per day
 Coordinate-system/234865: what is the equation of the line that has a slope of 5 and passes through the point (4,-18)?1 solutions Answer 173866 by Alan3354(30993)   on 2009-11-07 11:07:10 (Show Source): You can put this solution on YOUR website!I just did one like this: what is the equation of the line that has a slope of 3 and passes through the point (4,-18)? ------------------------ Use y = mx+b to find the y-intercept b m is the slope -------------- -18 = 3*4 + b b = -6 ------ --> y = 3x - 6
 Trigonometry-basics/234857: i need help: find csc theta if sin theta equals negative two thirds and theta is in quadrant four1 solutions Answer 173865 by Alan3354(30993)   on 2009-11-07 11:05:41 (Show Source): You can put this solution on YOUR website!find csc theta if sin theta equals negative two thirds and theta is in quadrant four -------------- csc = 1/sin csc = -3/2 and is in the same quadrant, Q4
 Problems-with-consecutive-odd-even-integers/234860: what are 4 cosecutive numbers when totaled equal 4341 solutions Answer 173864 by Alan3354(30993)   on 2009-11-07 11:04:04 (Show Source): You can put this solution on YOUR website!what are 4 cosecutive numbers when totaled equal 434 ---------- Do these the easy way Find the average: 434/4 = 108.5 2 numbers are just below, 2 above --> 107,108,109,110
 Coordinate-system/234859: what is the equation of the line that has a slope of 3 and passes through the point (4,-18)?1 solutions Answer 173863 by Alan3354(30993)   on 2009-11-07 11:01:56 (Show Source): You can put this solution on YOUR website!what is the equation of the line that has a slope of 3 and passes through the point (4,-18)? ------------------------ Use y = mx+b to find the y-intercept b m is the slope -------------- -18 = 3*4 + b b = -6 ------ --> y = 3x - 6
 Trigonometry-basics/236032: Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. cos 33pi\4.1 solutions Answer 173862 by Alan3354(30993)   on 2009-11-07 10:37:12 (Show Source): You can put this solution on YOUR website!cos 33pi\4. ------------- 32pi/4 = 8pi which is 4 revolutions. Subtract that. --> cos(pi/4) = sqrt(2)/2 I didn't use a calculator, I know that one. It's 1/8 of a revolution, or 45º. If you plot it on a unit circle, x and y are equal, and r is x*sqrt(2) cos = x/r = sqrt(2)/2
 Square-cubic-other-roots/236113: I am supposed to simplify this cubed root by taking roots of the numerator and denominator: 3 sqrt 729x^11/y^3 Is the root a real number? I don't think it is, but am not sure.1 solutions Answer 173860 by Alan3354(30993)   on 2009-11-07 10:05:57 (Show Source): You can put this solution on YOUR website!3 sqrt 729x^11/y^3 ---------- = (9x^3/y) * cube root of(x^2)
 logarithm/236129: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P0ekt. ___ 1 year ___ 9 years ___ 57 years ___ 20 years 1 solutions Answer 173859 by Alan3354(30993)   on 2009-11-07 10:03:39 (Show Source): You can put this solution on YOUR website!I just did this one.
 Proportions/236133: I really need help. n+2/15=n-4/25 they are fractions Thanks -Drea1 solutions Answer 173858 by Alan3354(30993)   on 2009-11-07 09:51:26 (Show Source): You can put this solution on YOUR website!n+2/15=n-4/25 -------------- Multiply by 75 5(n+2) = 3(n-4) 5n+10 = 3n-12 2n = -2 n = -1
 Equations/236136: what is the product of 2 1/4 and 5 1/6?1 solutions Answer 173857 by Alan3354(30993)   on 2009-11-07 09:49:43 (Show Source): You can put this solution on YOUR website!what is the product of 2 1/4 and 5 1/6? = (9/4)*(31/6) = 279/24 = 93/8
 logarithm/236134: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P e kt. 0 1 year 9 years 57 years 20 years 1 solutions Answer 173856 by Alan3354(30993)   on 2009-11-07 09:41:37 (Show Source): You can put this solution on YOUR website!How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P e kt. -------------- Future P = P*e^kt 2*P = P*e^0.035t 2 = e^0.035t ln(2) = 0.035t t = ln(2)/0.035 t = 19.8 years ~ 20 years
 Square-cubic-other-roots/236114: I am supposed to multiply and simplify these cubed roots by factoring: 3 sqrt y^13 3 sqrt 81 y^18 The answer I got was 3 sqrt 9y^27 but I am sure that's not correct1 solutions Answer 173855 by Alan3354(30993)   on 2009-11-07 09:27:40 (Show Source): You can put this solution on YOUR website! I am supposed to multiply and simplify these cubed roots by factoring: 3 sqrt y^13 3 sqrt 81 y^18 -------------- Cube root is exponent 1/3 = = = 3y^10 * cube root(3y)
 Sequences-and-series/236130: is there any formula of a^2+b^2 directly by applying it ?1 solutions Answer 173854 by Alan3354(30993)   on 2009-11-07 09:20:27 (Show Source): You can put this solution on YOUR website!What does that mean?
 Trigonometry-basics/235989: State the vertical shift and the equation of the midline for y=4 cos theta -1.1 solutions Answer 173775 by Alan3354(30993)   on 2009-11-06 19:35:07 (Show Source): You can put this solution on YOUR website!Is it cos(theta - 1) ? or cos(theta) -1 ?
 Polygons/235942: how many sides are in a polygon if its interior angles sum up to 1,800 degrees, n=? 1 solutions Answer 173774 by Alan3354(30993)   on 2009-11-06 19:32:54 (Show Source): You can put this solution on YOUR website!how many sides are in a polygon if its interior angles sum up to 1,800 degrees, n=? ------------ Sum of the angles = 180*(n-2) 180*(n-2) = 1800 n-2 = 10 n = 12
 Circles/235965: my clindrical tank is 82 inches high and 248 inches long. what is the diameter? a question my younger brother ask. and i do not know. need your help.1 solutions Answer 173773 by Alan3354(30993)   on 2009-11-06 19:31:34 (Show Source): You can put this solution on YOUR website!my clindrical tank is 82 inches high and 248 inches long. what is the diameter? a question my younger brother ask. and i do not know. need your help. ------------- If the axis is horizontal, the diameter is 82 inches, the height.
 Problems-with-consecutive-odd-even-integers/236029: The sum of two consecutive integers is -287. Find the larger integer. 1 solutions Answer 173772 by Alan3354(30993)   on 2009-11-06 19:27:22 (Show Source): You can put this solution on YOUR website!The sum of two consecutive integers is -287. Find the larger integer. -------- -287/2 = -143.5 The 2 integers are adjacent to -143.5 --> -144 and -143
 Trigonometry-basics/235991: Verify that sec theta/ sin theta (cot theta/ csc theta)= csc theta is an identity. I'm not understanding how to do this. PLEASE HELP!1 solutions Answer 173754 by Alan3354(30993)   on 2009-11-06 17:45:32 (Show Source): You can put this solution on YOUR website!Verify that sec theta/ sin theta (cot theta/ csc theta)= csc theta is an identity. ------------ Is it (sec/sin)*(cot/csc) ? Or sec/(sin*cot/csc) ?
 Travel_Word_Problems/235950: you can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops?1 solutions Answer 173722 by Alan3354(30993)   on 2009-11-06 14:34:28 (Show Source): You can put this solution on YOUR website!you can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops? ---------------- She'll be 12 miles ahead when you start. You gain on her at 3 mph (15-12). 12/3 = 4 hours
 Linear-equations/235954: I have one more problem here 5x - 7y = -49 7y - 5x = 49 What is the solution of the system of equations, now I was thinking no solution and is it consistent or inconsistent dependent or independent I came up with all 0's so Im looking forward to see what you get 1 solutions Answer 173719 by Alan3354(30993)   on 2009-11-06 14:30:55 (Show Source): You can put this solution on YOUR website!The 2nd eqn is -1 times the 1st, so they're dependent, no unique solution.
 Angles/235951: A regular hexagon has one side length of 5mm. What is the perimeter of the polygon? How do you know?1 solutions Answer 173717 by Alan3354(30993)   on 2009-11-06 14:19:13 (Show Source): You can put this solution on YOUR website!A regular hexagon has one side length of 5mm. What is the perimeter of the polygon? How do you know? --------- "Regular" means all sides are the same, 5 mm each. There are 6 of them. 6*5 = 30 mm
 Trigonometry-basics/235952: Please help me solve this problem: How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 5 inches long? Thank you1 solutions Answer 173716 by Alan3354(30993)   on 2009-11-06 14:17:59 (Show Source): You can put this solution on YOUR website!How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 5 inches long? --------- In one revolution it moves 2*pi*r inches = 10pi inches. It moves 1/3 of that in 20 minutes, = 10pi/3 inches = ~ 10.472 inches
 Equations/235953: Alex was asked to find the GCF of 45 and 75. He gave the answer as 5. Was he correct or incorrect? Why? 1 solutions Answer 173715 by Alan3354(30993)   on 2009-11-06 14:15:50 (Show Source): You can put this solution on YOUR website!He's not correct, it's 15.
 Linear-systems/235804: Are the following linear or non linear functions? a. The time it takes you to get to work as a function the speed at which you drive b. The probability of getting into a car accident as a function of the speed at which you drive c. A person's height as a function of the person's age (from age 0 to 100) I believe "A" is linear because the faster you go, the sooner your get to work and vice versa. I believe "B is non linear beause there are many unknown elements which can determine if a person gets into an acccident besides the speed in which they travel. I believe "C" is non linear because at a certain point we stop growing. Additionally, as we get older we may even actually get shorter. 1 solutions Answer 173714 by Alan3354(30993)   on 2009-11-06 13:56:16 (Show Source): You can put this solution on YOUR website!B and C are definitely non-linear. A can be linear. d = rt The distance is directly related to the speed and to the time. ------- In t = d/r, t is inversely related to r (rate or speed). If it's graphed with axes of r and t, it's a hyperbola, not a straight line --> not linear. -------------------- If the speed is constant, then the relation between time and distance is linear. It's tricky.
 Linear-equations/235937: This is one not sure how to do Solve the system of equations, give an ordered pair x+3y=3 (1) x=5-3y (2) Im not sure what the numbers in parentheses are for1 solutions Answer 173711 by Alan3354(30993)   on 2009-11-06 13:42:32 (Show Source): You can put this solution on YOUR website!Solve the system of equations, give an ordered pair x+3y=3 (1) x=5-3y (2) Im not sure what the numbers in parentheses are for ----------- I think they're just equation numbers x+3y=3 (1) x=5-3y (2) --> x+3y = 5 x+3y cannot equal both 3 and 5. These are inconsistent, no solution. If you graph them, they're parallel lines.
Polynomials-and-rational-expressions/235794: Hi.
I have been trying for over an hour and can not
solve the following polynomial inequality.

1 solutions

Answer 173677 by Alan3354(30993)   on 2009-11-06 11:12:43 (Show Source):
You can put this solution on YOUR website!

Solve it as equal, then add the <

 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=37 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.54138126514911, -5.54138126514911. Here's your graph:

Sub <= for the equal signs.
All values between the 2 solutions fit the inequality.
----------------
----------------
It's not -3 and 1.
For the solution to be -3 and 1:

--> -3>=x>=1

 Linear-systems/235799: Write an equation for f(x) if x = (-2,-1,0,1,2) and f(x) = (-2,2,6,10,14).1 solutions Answer 173673 by Alan3354(30993)   on 2009-11-06 11:01:10 (Show Source): You can put this solution on YOUR website!Write an equation for f(x) if x = (-2,-1,0,1,2) and f(x) = (-2,2,6,10,14). ------------------ diffy = 4 diffx = 1 m = 4 ------ b is at (0,6) --> y = 4x + 6
 Travel_Word_Problems/235801: You Can run 3 miles in 25 mintues. At this rate, how many miles can you run in 2 hours?1 solutions Answer 173672 by Alan3354(30993)   on 2009-11-06 10:56:05 (Show Source): You can put this solution on YOUR website!You Can run 3 miles in 25 mintues. At this rate, how many miles can you run in 2 hours? -------------- Assuming you keep the same pace (which is not likely) (3/25) mile/min * 120 minutes = 3*120/25 = 360/25 14.4 miles
 Systems-of-equations/234790: (x^3+7x^2+7x-15)/(x+3) I have tried to divide this but I get confused, could you please help or at least show me the steps and then I should be able to do the other 3 problems I have. Thank you everyone for all of your help.1 solutions Answer 173671 by Alan3354(30993)   on 2009-11-06 10:49:01 (Show Source): You can put this solution on YOUR website!(x^3+7x^2+7x-15)/(x+3) =
 test/234772: 3 digits palindrome multiple of 2 product of my digit is smaller than my sum1 solutions Answer 173670 by Alan3354(30993)   on 2009-11-06 10:46:26 (Show Source): You can put this solution on YOUR website!212 is one. I don't think there are any others.
 Trigonometry-basics/235898: factor the polynomial: 25x(to the 2nd power)-36y(to the second power)1 solutions Answer 173669 by Alan3354(30993)   on 2009-11-06 10:45:05 (Show Source): You can put this solution on YOUR website!factor the polynomial: 25x(to the 2nd power)-36y(to the second power) -------------- Any difference of 2 squares a^2 - b^2 = (a+b)*(a-b) In this case, a is 5x and b is 6y = (5x+6y)*(5x-6y)