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Alan3354 answered: 31517 problems
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Rational-functions/287314: how do i graph the function 2x^2+8x+4 1 solutions Answer 208241 by Alan3354(31538)   on 2010-03-31 13:58:05 (Show Source): You can put this solution on YOUR website! It's not possible, since it's not a function. It's a polynomial. If it were y = 2x^2+8x+4 then you could graph it. ----------------- Pick values for x and find y. Plot the points, draw a curve thru them.

Polynomials-and-rational-expressions/287081: How do I factor this polynomial? 0.3x^2 + 400x + 550 I multiplied by 10 to remove the decimal to obtain: 3x^2 + 4000x + 5500 I am stuck at this point. Thanks 1 solutions Answer 208173 by Alan3354(31538)   on 2010-03-30 22:04:01 (Show Source): You can put this solution on YOUR website! 3x^2 + 4000x + 5500 It's prime, not factorable with integers.

Geometry_Word_Problems/287110: a triangle has a base of 8 cm and a height of 12cm 1 solutions Answer 208172 by Alan3354(31538)   on 2010-03-30 21:56:48 (Show Source): You can put this solution on YOUR website! And? Do you have a question?

Miscellaneous_Word_Problems/287084: Find two numbers whose difference is 18 and 1/4 of whose sum is 9. 1 solutions Answer 208171 by Alan3354(31538)   on 2010-03-30 21:55:28 (Show Source): You can put this solution on YOUR website! Difference = 18 Sum = 36 --> 9 and 27

Angles/287119: hello i need hellp finding the sum of all the angles in a triangle but i only have one angle which equals 122 1 solutions Answer 208170 by Alan3354(31538)   on 2010-03-30 21:53:57 (Show Source): You can put this solution on YOUR website! The sum is 180 degrees.

Finance/287034: flying with the trail wind an airplane flies 600 km per hour. Flying with the same wind it flies 500 km per hour to make the return flight against the wind. Find the speed of the wind and speed of the airplane. 1 solutions Answer 208128 by Alan3354(31538)   on 2010-03-30 18:59:43 (Show Source): You can put this solution on YOUR website! The airspeed of the plane is the average = (600+500)/2 = 550 The windspeed is the difference = 600 - 550 = 50 ---------------- PS Airplanes don't use km/hr, they use knots. 1 knot = 1 nautical mile per hour.

decimal-numbers/286979: how would i convert one eighth and one ninth into a decimal number rounded to the nearest thousandth? 1 solutions Answer 208086 by Alan3354(31538)   on 2010-03-30 17:07:56 (Show Source): You can put this solution on YOUR website! how would i convert one eighth and one ninth into a decimal number rounded to the nearest thousandth? -------------- 1/8 = 0.125 1/9 = 0.11111.... -------------Add = 0.236 ----------- Or 1/8 + 1/9 = 9/72 + 8/72 = 17/72 =~ 0.236 The first way is easier, you can use a calculator

Travel_Word_Problems/286909: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling is 60 miles per hour. Train A passes a station at 11:10PM. If Train B passes the same station at 11:20Pm, at what time will train b catch up to train a? 1 solutions Answer 208049 by Alan3354(31538)   on 2010-03-30 14:09:14 (Show Source): You can put this solution on YOUR website! Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling is 60 miles per hour. Train A passes a station at 11:10PM. If Train B passes the same station at 11:20Pm, at what time will train b catch up to train a? ------------------- In 10 minutes, Train A goes 40 mph*10/60 hr = 20/3 miles Train B is moving 20 mph relative to Train A. 20/3 miles/20 miles/hour = 1/3 hour = 20 minutes. 11:20 + 0:20 = 11:40

Volume/286866: Would you please help me with this one? A rectangular swimming pool with dimensions 10m x 25m is being built. The pool has a shallow end that is uniform in depth and a deep end that drops off. What is the volume of this pool in cubic meters. (The height or depth on one end is 2m and the other end is 15m) Thanks! 1 solutions Answer 208020 by Alan3354(31538)   on 2010-03-30 12:01:50 (Show Source): You can put this solution on YOUR website! A rectangular swimming pool with dimensions 10m x 25m is being built. The pool has a shallow end that is uniform in depth and a deep end that drops off. What is the volume of this pool in cubic meters. (The height or depth on one end is 2m and the other end is 15m) --------------------- How much of the shallow end is "uniform in depth" before it drops off. You sure it's 15 meters deep? That's 49 feet deep ??

Rational-functions/286859: Given that 2i is a root of the polynomial equation x^4 - 45x^2 - 196 = 0,find the solution set for the equation. 1 solutions Answer 208016 by Alan3354(31538)   on 2010-03-30 11:42:25 (Show Source): You can put this solution on YOUR website! Given that 2i is a root of the polynomial equation x^4 - 45x^2 - 196 = 0,find the solution set for the equation. ------------ Complex roots occur in conjugate pairs, so -2i is also a root. (x+2i)*(x-2i) = x^2 + 4 Divide the polynomial by (x^2 + 4) and solve the remaining quadratic.

Sequences-and-series/286846: write the first three terms of the expansion (a-b)^6 i am having difficulty with this. please help 1 solutions Answer 208014 by Alan3354(31538)   on 2010-03-30 11:22:46 (Show Source): You can put this solution on YOUR website! write the first three terms of the expansion (a-b)^6 -------------------- Use Pascal's triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 6th power --------------------------- Notice that each element in the triangle is the sum of 2 above it, so you can fill it in quickly for "small" exponents. I wouldn't do it for an exponent of 50. Since it's a-b, the signs alternate. --> The exponents of a decrease while b's increase.

Surface-area/286851: What is the are of a rectangle that has a length of 32 inches and a width of 6 inches? 1 solutions Answer 208008 by Alan3354(31538)   on 2010-03-30 11:08:38 (Show Source): You can put this solution on YOUR website! You have 2 numbers, 32 and 6. Give it a try. email via the thank you note to check your work.

Travel_Word_Problems/286821: IF YOU ROW A BOAT UP STEAM AT 4 MPH AND IT TAKES YOU 6 MPH TO ROW DOWN STEAM TO GET BACK. HOW FAR DID YOU TRAVEL 1 solutions Answer 207998 by Alan3354(31538)   on 2010-03-30 10:26:19 (Show Source): You can put this solution on YOUR website! Not enough info. Could have been rowing for an hour, or a week.

Money_Word_Problems/286815: find the amount owed at the end of 7 years if 2700 is loaned at a rate 8% compounded quarterly. A=p(1+r/n)^nt A=28(1+.08/2700)^2700*7 1 solutions Answer 207989 by Alan3354(31538)   on 2010-03-30 09:45:18 (Show Source): You can put this solution on YOUR website! find the amount owed at the end of 7 years if 2700 is loaned at a rate 8% compounded quarterly. A=p(1+r/n)^nt 8% per year is 2% per quarter n = 4 t = 7 r = 0.08 ------------ A = 2700*(1 + 0.02)^28 A =~ 4700.77 --------------

Polynomials-and-rational-expressions/286802: Simplify the following fraction, if already simplified, say so. 10x^2 - 30x + 20 ________________ x^2 -1 1 solutions Answer 207977 by Alan3354(31538)   on 2010-03-30 09:11:06 (Show Source): You can put this solution on YOUR website! Factor the numerator and denominator. Cancel whatever you can.

Bodies-in-space/286803: A cylindrical can has no top. Its base circumference is 8π and its height is 13. What is the surface area of the can? A. 104π B. 112π C. 120π D. 136π E. 168π 1 solutions Answer 207975 by Alan3354(31538)   on 2010-03-30 09:09:35 (Show Source): You can put this solution on YOUR website! A cylindrical can has no top. Its base circumference is 8π and its height is 13. What is the surface area of the can? A. 104π B. 112π C. 120π D. 136π E. 168π --------------------- The lateral surface's area is 8pi * 13 = 104pi The bottom is 16pi A total of 120pi

Numbers_Word_Problems/286806: Two numbers add to 9. What is the largest possible value for their product? A. 9/2 B. 81/4 C. 20 D. 18 E. None of these. 1 solutions Answer 207968 by Alan3354(31538)   on 2010-03-30 08:41:09 (Show Source): You can put this solution on YOUR website! B 81/4 ---------- n*(9-n) = p The vertex is the local max. It's on the line of symmetry n = -b/2a = -9/-2 n = 9/2 --> 81/4

Problems-with-consecutive-odd-even-integers/286707: Find five consecutive odd numbers that have a sum of 65. 1 solutions Answer 207921 by Alan3354(31538)   on 2010-03-29 21:50:37 (Show Source): You can put this solution on YOUR website! 65/5 = 13, the middle number --> 9,11,13,15,17

decimal-numbers/286639: what is eleven tenths in decimal form 1 solutions Answer 207902 by Alan3354(31538)   on 2010-03-29 20:26:47 (Show Source): You can put this solution on YOUR website! 1.1

Equations/286668: How do I solve this equation: 1 solutions Answer 207900 by Alan3354(31538)   on 2010-03-29 20:25:25 (Show Source): You can put this solution on YOUR website! Multiply thru by 12 to eliminate fractions

Rational-functions/286660: how do you multiply these rationals? x(x-3)/(x-2) * (x+3)(x-2)/x i got x^3(18)/(x-2) is that correct? 1 solutions Answer 207899 by Alan3354(31538)   on 2010-03-29 20:24:44 (Show Source): You can put this solution on YOUR website! how do you multiply these rationals? x(x-3)/(x-2) * (x+3)(x-2)/x i got x^3(18)/(x-2) is that correct? Cancel the x's = Cancel the (x-2) terms = =

Radicals/286622: radical for 120 1 solutions Answer 207881 by Alan3354(31538)   on 2010-03-29 19:03:34 (Show Source): You can put this solution on YOUR website! what does that mean? -------- I'll reword that. I don't know what that means. I don't think it's my fault.

Miscellaneous_Word_Problems/286628: Find the maximum area of the rectangular wall that can be constructed with 200 feet of brick. It doesn't have enough information right? 1 solutions Answer 207880 by Alan3354(31538)   on 2010-03-29 19:02:30 (Show Source): You can put this solution on YOUR website! what is 200 feet of brick? It's not enough info for me.

Reduction-of-unit-multipliers/286589: Use a unit multiplier to convert 100 meters per 50 seconds to meters per minute. 1 solutions Answer 207876 by Alan3354(31538)   on 2010-03-29 18:29:05 (Show Source): You can put this solution on YOUR website! 100 m/50sec * 60 sec/min = 120 m/min

Finance/286595: y varies inversely as x is squared. Y is 25 when x is 2. Find y when x is 5 1 solutions Answer 207875 by Alan3354(31538)   on 2010-03-29 18:14:48 (Show Source): You can put this solution on YOUR website! If you mean y is inversely related to x squared: Find k 25 = k/4 k = 100 -------- at x = 5: y = 100/25 = 4

Problems-with-consecutive-odd-even-integers/286592: the sum of three consecutive odd numbers is 273.what are the numbers 1 solutions Answer 207874 by Alan3354(31538)   on 2010-03-29 18:12:25 (Show Source): You can put this solution on YOUR website! 273/3 = 91, the middle number --> 89, 91 & 93

Numbers_Word_Problems/286567: the sum of three consecutive integers is 144. what are the integers? 1 solutions Answer 207862 by Alan3354(31538)   on 2010-03-29 17:13:33 (Show Source): You can put this solution on YOUR website! 144/3 = 48, the middle number --> 47, 48 & 49

Percentage-and-ratio-word-problems/286571: a 100 pound watermelon is 95 percent water. it is dehydrated until it is 90 percent water. what is its weight after dehydration? 1 solutions Answer 207861 by Alan3354(31538)   on 2010-03-29 17:11:00 (Show Source): You can put this solution on YOUR website! That's a big watermelon.

Length-and-distance/286563: A ranger in fire tower A spots a fire at a direction of 32°. A ranger in fire tower B, which is 22 miles directly east of tower A, spots the same fire at a direction of 58°. How far from tower B is the fire? I need to solve this problem and draw a picture to go with it. I'm clueless. Any help would be appreciated. Thank you. Cynthia 1 solutions Answer 207857 by Alan3354(31538)   on 2010-03-29 17:08:43 (Show Source): You can put this solution on YOUR website! Using east as 90 degs, this doesn't work. What's the reference for the angles of 32 and 58 degrees?

Triangles/286562: triangle CAT has vertices c(4,9) A(8,-9) T(-6,5) A. find the cordinates of the midpoints of each side of the triangle. B. Find the length of the median from point C to TA. C. Find the perimeter of triangle CAT. D. Find the perimeter of the triangle formed in part a above. E. How do the perimeters in parts c and d compare? I did part a and b, but part b is wrong and i dont know the difference btween the question asked in part c from d. 1 solutions Answer 207854 by Alan3354(31538)   on 2010-03-29 16:57:35 (Show Source): You can put this solution on YOUR website! triangle CAT has vertices c(4,9) A(8,-9) T(-6,5) A. find the cordinates of the midpoints of each side of the triangle. Find the midpoints by getting the average of x and y separately. for CA: x = (4+8)/2 = 6 y = (9-9)/2 = 0 MP at (6,0) ----------- for AT: MP at (1,-2) for CT: MP at (-1,7) --------------------- B. Find the length of the median from point C to TA. distance from C to MP of TA -------------------- C. Find the perimeter of triangle CAT. P = CA + AT + TC P =~ 49.008 ---------------------------------------------- D. Find the perimeter of the triangle formed in part a above. = =~ 24.504 E. How do the perimeters in parts c and d compare? The smaller is 1/2 the larger. -----------------

Percentage-and-ratio-word-problems/286561: Could you please let me know if I did this problem correctly? If 540 million metric tons of carbon dioxide is released in the air per year and 35% of it is from other fuels, how much carbon dioxide is emitted? What I came up with is: 540/x * 35/100= 35x/54000. 54000 divided by 35= 1542.857142. Did I do it correctly? Please advise. Thank you. 1 solutions Answer 207844 by Alan3354(31538)   on 2010-03-29 16:33:06 (Show Source): You can put this solution on YOUR website! This is not clear. You said 540 million tons is emitted, then you ask how much is emitted. ?? You said 540 million tons.