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 Square-cubic-other-roots/716208: 7^3/4 rewrite using radical notation1 solutions Answer 439772 by Alan3354(30993)   on 2013-02-19 14:05:09 (Show Source): You can put this solution on YOUR website!7^3/4 rewrite using radical notation ----------- = =
 logarithm/716221: I need help for solve this 5=3ln(x)-1/2ln(x)1 solutions Answer 439771 by Alan3354(30993)   on 2013-02-19 13:58:59 (Show Source): You can put this solution on YOUR website!5=3ln(x)-1/2ln(x) ------------ x =~ 7.389
 Travel_Word_Problems/716205: on a round-trip over the same roads, a car averaged 25 mph going and 30 mph returning. If the entire trip took 5.5 hours, what is the distance each way? My question is how can you solve how much time it took for each half of the trip?1 solutions Answer 439768 by Alan3354(30993)   on 2013-02-19 13:38:39 (Show Source): You can put this solution on YOUR website!on a round-trip over the same roads, a car averaged 25 mph going and 30 mph returning. If the entire trip took 5.5 hours, what is the distance each way? My question is how can you solve how much time it took for each half of the trip? --------------- The problem doesn't ask for that, it asks for the distance. ----- find the avg speed: avg speed = 2*25*30/(25+30) mi/hr = 300/11 mi/hr --- Then d = r*t = (300/11)*5.5 = 150 miles round trip --> 75 miles each way. ---------------------------------- Check: 75/25 + 75/30 = 3 + 2.5 hours = 5.5 hours =================== Avg speed for a round trip is 2*r1*r2/(r1+r2) regardless of the distance You can call the distance d and work out the eqn. ================================================ Another approach: The time spent at each speed is inversely proportional to the speed but the ratio is the same as the 2 speeds. 25x + 30x = 5.5 55x = 5.5 x = 0.1 --> 2.5 hours at the faster speed, 3.0 hours at the slower speed.
 logarithm/716207: What is the log (base root 3) cube root nine?1 solutions Answer 439767 by Alan3354(30993)   on 2013-02-19 13:18:44 (Show Source): You can put this solution on YOUR website!What is the log (base root 3) cube root nine? ------------- Do you mean base 3? --> log = 2/3
 Graphs/716152: write an inequality statement for -2.5 and -0.75 1 solutions Answer 439756 by Alan3354(30993)   on 2013-02-19 11:03:49 (Show Source): You can put this solution on YOUR website! write an inequality statement for -2.5 and -0.75 ----------- -2.5 < -0.75
 Expressions-with-variables/716125: -2/3 ¸ 5/4 = 1 solutions Answer 439754 by Alan3354(30993)   on 2013-02-19 10:13:21 (Show Source): You can put this solution on YOUR website!-2/3 ¸ 5/4 = ------------- What is your question?
 Mixture_Word_Problems/716127: A cashier has a total of 98 bills made up of 10s & 50s. Total value of the money is $2820. How many of each bill does he have?1 solutions Answer 439753 by Alan3354(30993) on 2013-02-19 10:11:59 (Show Source): You can put this solution on YOUR website!A cashier has a total of 98 bills made up of 10s & 50s. Total value of the money is$2820. How many of each bill does he have? ---------------- t + f = 98 10t + 50f = 2820
 Circles/716136: Find the length of the radius of the following circle. (x + 2)2 + y2 = 10 1 solutions Answer 439752 by Alan3354(30993)   on 2013-02-19 10:10:47 (Show Source): You can put this solution on YOUR website!Find the length of the radius of the following circle. (x + 2)^2 + y^2 = 10 = r^2 ----------- Use ^ (Shift 6) for exponents.
 Exponential-and-logarithmic-functions/716092: i need help graphing this problem y=3-x^21 solutions Answer 439741 by Alan3354(30993)   on 2013-02-19 09:06:19 (Show Source): You can put this solution on YOUR website!i need help graphing this problem y=3-x^2 ----------------- Pick values for x and find y Plot the points. Draw a curve thru them. --- eg, x = 0, y = 3 --> (0,3) x = 1, y = 2 --> (0,2) Note that Pos & Neg values of x give the same y value --> 2 points for each x = ± 2, y = -1 --> (2,-1) & (-2,-1)
 Linear_Equations_And_Systems_Word_Problems/716085: a car uses on average 10.5 litres of gas per 100 km. How many litres will the care use to travel 659 kilometresÉ do i multiply 10.5 litres by 659 kilometres divded by 100 km? 10.5 x 659 / 100 = 69.195 litres?????? Thank you.1 solutions Answer 439727 by Alan3354(30993)   on 2013-02-19 07:03:52 (Show Source): You can put this solution on YOUR website!a car uses on average 10.5 litres of gas per 100 km. How many litres will the care use to travel 659 kilometresÉ do i multiply 10.5 litres by 659 kilometres divded by 100 km? 10.5 x 659 / 100 = 69.195 litres?????? -------------------- That's correct.
 Rational-functions/716048: how do you solve this y=3-x^21 solutions Answer 439726 by Alan3354(30993)   on 2013-02-19 07:01:36 (Show Source): You can put this solution on YOUR website!how do you solve this y=3-x^2 ------------ It is solved.
 Triangles/716052: a triangle having 60 degree and 50 degree of two angles and the base length is 8 cm. what is the measurement of other two sides1 solutions Answer 439725 by Alan3354(30993)   on 2013-02-19 06:42:59 (Show Source): You can put this solution on YOUR website!a triangle having 60 degree and 50 degree of two angles and the base length is 8 cm. what is the measurement of other two sides ----------------- Need to know where the side is in relation to the angles. What angle is it opposite?
 Travel_Word_Problems/716062: time for the following journey: 5cm at 12 60kmh 1 solutions Answer 439724 by Alan3354(30993)   on 2013-02-19 06:41:12 (Show Source): You can put this solution on YOUR website!time for the following journey: 5cm at 12 60kmh ------------ What is the speed? 12 60 ??
 Trigonometry-basics/716051: How do I use an inverse trigonometric function to write theta as a function of x? Please help. Thank You. Hope this helps. a).........../| ............/..| ........../....| ......../......| ....x/........| ..../..........| ../............| /theta......| ------------ .....4 b).........../| ............/..| ........../....| ......../......| ....../........|x+1 ..../..........| ../............| /theta......| ------------ ....101 solutions Answer 439723 by Alan3354(30993)   on 2013-02-19 06:39:15 (Show Source): You can put this solution on YOUR website!How do I use an inverse trigonometric function to write theta as a function of x? Please help. Thank You. Hope this helps. a).........../| ............/..| ........../....| ......../......| ....x/........| ..../..........| ../............| /theta......| ------------ .....4 cos = 4/x theta = acos(4/x) ============================= b).........../| ............/..| ........../....| ......../......| ....../........|x+1 ..../..........| ../............| /theta......| ------------ ....10 tan = (x+1)/10 theta = atan((x+1)/10)
 test/716068: Using an appropriate substitution or otherwise, solve the following equation. 6(3^x-1)=3^4-3^x1 solutions Answer 439722 by Alan3354(30993)   on 2013-02-19 06:33:53 (Show Source): You can put this solution on YOUR website!Using an appropriate substitution or otherwise, solve the following equation. 6(3^x-1)=3^4-3^x Is it 6*3^(x-1)=3^4-3^x ?
 Travel_Word_Problems/716076: how many time taken to drive 500 km in speed of 2410 km/h1 solutions Answer 439721 by Alan3354(30993)   on 2013-02-19 06:18:12 (Show Source): You can put this solution on YOUR website!how many time taken to drive 500 km in speed of 2410 km/h ------------ d = r*t t = d/r
 Equations/716075: how do you solve equations by adding or subtracting fractions with variables? Example:m-(-7/10)= -1 1/51 solutions Answer 439720 by Alan3354(30993)   on 2013-02-19 06:16:59 (Show Source): You can put this solution on YOUR website!m-(-7/10)= -1 1/5 m + (7/10) = -6/5 Eliminate the fractions 50m + 35 = -60 50m = -95 m = -19/10
 Rational-functions/715997: Find all the real square roots of - 9/16 a) no real root b) -3/4 c) -3/4 and 3/4 d) 81/2561 solutions Answer 439694 by Alan3354(30993)   on 2013-02-18 22:57:22 (Show Source): You can put this solution on YOUR website!Find all the real square roots of - 9/16 ------------- No real sq roots of negative numbers.
 Age_Word_Problems/716024: Thomas is taking orders for roses so far she has custome rs for 55dozens roses she ordered 55 dozens of roses how many more dozens does she need to order1 solutions Answer 439693 by Alan3354(30993)   on 2013-02-18 22:55:07 (Show Source): You can put this solution on YOUR website!Thomas is taking orders for roses so far she has custome rs for 55dozens roses she ordered 55 dozens of roses how many more dozens does she need to order ---------------- None
 Numbers_Word_Problems/715911: Three consecutive odd numbers whose sum is 21 and the product is 315 what number is in the middle?1 solutions Answer 439671 by Alan3354(30993)   on 2013-02-18 20:29:39 (Show Source): You can put this solution on YOUR website!Three consecutive odd numbers whose sum is 21 and the product is 315 what number is in the middle? ---------- 21/3 is the middle number.
 Reduction-of-unit-multipliers/715938: you travel 875 yards in 75 seconds, how many miles per hour is that ? do you just divide 875 divided into 75 ???1 solutions Answer 439670 by Alan3354(30993)   on 2013-02-18 20:27:08 (Show Source): You can put this solution on YOUR website!you travel 875 yards in 75 seconds, how many miles per hour is that ? do you just divide 875 divided into 75 ??? ------------ 875 yds/75 sec = 35/3 yds/sec, not mi/hr
 Angles/715953: Can a quadrilateral have three 61degeee angles and one 177 degree angle?1 solutions Answer 439668 by Alan3354(30993)   on 2013-02-18 20:25:57 (Show Source): You can put this solution on YOUR website!Can a quadrilateral have three 61degeee angles and one 177 degree angle? ----------- sure, why not?
 Reduction-of-unit-multipliers/715943: you travel 60 miles per hour what is that in feet per second?1 solutions Answer 439667 by Alan3354(30993)   on 2013-02-18 20:24:38 (Show Source): You can put this solution on YOUR website!you travel 60 miles per hour what is that in feet per second? ----------- 1 hr = 3600 seconds 1 mile = 5280 feet
 logarithm/715830: Use the Change of Base Formula to evaluate log[3] 48. Then convert log[3] 48 to a logarithm in base 5. Round to the nearest thousandth.1 solutions Answer 439614 by Alan3354(30993)   on 2013-02-18 17:09:02 (Show Source): You can put this solution on YOUR website!Use the Change of Base Formula to evaluate log[3] 48. ----------------- Then convert log[3] 48 to a logarithm in base 5. The log of what base 5? ------ Round to the nearest thousandth. =~ 3.524
 Equations/715777: p+1/3p=2/3 1 solutions Answer 439590 by Alan3354(30993)   on 2013-02-18 16:00:18 (Show Source): You can put this solution on YOUR website!p+1/3p=2/3 ----------------- Is it (1/3)p? Or 1/(3p)? Add parentheses.
 Geometric_formulas/715787: Hi. I'm back again for help with geometry. I do not know any formulas to solve problems such as this. I need help with this problem, including the formula on how to solve this problem. Thanks in advance. A tin can has a circular base and a volume of 80\pi cm^3. Express the diameter of the base of the can in terms of the height of the can. Use h for the height of the can. Diameter = 1 solutions Answer 439587 by Alan3354(30993)   on 2013-02-18 15:36:46 (Show Source): You can put this solution on YOUR website!There's no formula, just figure it out. ------------------- A tin can has a circular base and a volume of 80\pi cm^3. Express the diameter of the base of the can in terms of the height of the can. ------------------ -------------- for Vol = 80*pi cc: cm cm
 Triangles/715774: the measure of an isosceles triangle are 21, 21, and 8. Find the measure of a base angle to the nearest degree?1 solutions Answer 439584 by Alan3354(30993)   on 2013-02-18 15:15:12 (Show Source): You can put this solution on YOUR website!the measure of an isosceles triangle are 21, 21, and 8. Find the measure of a base angle to the nearest degree? ---------------- The altitude from the vertex bisects the base and forms a right triangle with side = 4 and hypotenuse = 21 cos(base angle) = 4/21 angle =~ 79 degs
 Percentage-and-ratio-word-problems/715770: 1. Two numbers have a differnce of 16 and a ratio of 7/9. What are the numbers? Thank you.1 solutions Answer 439582 by Alan3354(30993)   on 2013-02-18 14:57:28 (Show Source): You can put this solution on YOUR website!1. Two numbers have a differnce of 16 and a ratio of 7/9. What are the numbers? -------- The difference between 7 & 9 = 2 16/2 = 8 8*7 & 8*9 --> 56 & 72
 Exponential-and-logarithmic-functions/715745: x(log10 5-1)= log10 (2^x +1)- log10 61 solutions Answer 439579 by Alan3354(30993)   on 2013-02-18 14:50:10 (Show Source): You can put this solution on YOUR website!x(log10 5-1) ------------ I don't know what that means. ---- log = log base 10, it's the default and doesn't need to be specified. ln = natural log, base e Any other base has to be spec'd, eg
 logarithm/715743: Can you please let me know where to put the decimal point in log and also what should be the number ?1 solutions Answer 439577 by Alan3354(30993)   on 2013-02-18 14:42:11 (Show Source): You can put this solution on YOUR website!Can you please let me know where to put the decimal point in log and also what should be the number ? ------------------ You'll have to be more specific.
 Quadratic-relations-and-conic-sections/715758: equation of a tilted parabola1 solutions Answer 439576 by Alan3354(30993)   on 2013-02-18 14:37:09 (Show Source): You can put this solution on YOUR website!First, notice that the equation of the parabola y = x^2 can be parametrized by x = t, y = t^2, as t goes from -infinity to infinity; or, as a column vector, [x] = [t] [y] = [t^2]. To rotate the graph of the parabola about the origin, we rotate each point individually. Rotation clockwise by 45 degrees is a linear transformation; the transformation sends the point (1, 0) to (1/sqrt(2), -1/sqrt(2)), and it sends the point (0, 1) to (1/sqrt(2), sqrt(2)). So the standard matrix for the linear transformation is [1/sqrt(2) 1/sqrt(2)] [-1/sqrt(2) 1/sqrt(2)] Thus, if we apply this linear transformation to a point (t, t^2) on the graph of the parabola, we get [1/sqrt(2) 1/sqrt(2)][t] [-1/sqrt(2) 1/sqrt(2)][t^2] Which gives [(t^2 + t)/sqrt(2)] [(t^2 - t)/sqrt(2)]. So, as t goes from -infinity to infinity, this is a parametrization of the graph of the rotated parabola. We must now convert back to x and y. We have [x] = [(t^2 + t)/sqrt(2)] [y] = [(t^2 - t)/sqrt(2)] By adding and subtracting x and y, we find x - y = t * sqrt(2) x + y = t^2 * sqrt(2) Solving the first equation for t, we get t = (x - y) / sqrt(2). Plug this into the second equation: x + y = ((x - y) / sqrt(2))^2 * sqrt(2) x + y = ((x^2 - 2xy + y^2) / 2) * sqrt(2) x + y = (x^2 - 2xy + y^2) / sqrt(2) x * sqrt(2) + y * sqrt(2) = x^2 - 2xy + y^2 x^2 - 2xy + y^2 - x * sqrt(2) - y * sqrt(2) = 0. So an equation for the parabola y = x^2 rotated clockwise by 45 degrees is x^2 - 2xy + y^2 - x * sqrt(2) - y * sqrt(2) = 0. ========================== Copied from somewhere, I lost the link to the site.