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Recent problems solved by 'Alan3354'

Alan3354 answered: 30948 problems
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Volume/430325: An Aquarium has a base length of 12 inches and a width of 5 inches. If the Aquarium is 10 inches tall, what is the total volume ? 1 solutions Answer 298961 by Alan3354(30968)   on 2011-04-03 08:01:37 (Show Source): You can put this solution on YOUR website! The product is 5*12*10 = 600 cubic in

logarithm/430453: By using log,solve the following equations.a)5^x=7 b)3^x+2=2^x 1 solutions Answer 298960 by Alan3354(30968)   on 2011-04-03 07:58:13 (Show Source): You can put this solution on YOUR website! a)5^x=7 x*log(5) = log(7) x = log(7)/log(5) ----------------- b)3^x+2=2^x I think you mean 3^(x+2) = 2^x (x+2)*log(3) = x*log(2) x*log(3) + log(9) = x*log(2) x(log(3) - log(2)) = -log(9) x = -log(9)/log(1.5) x =~ -5.419

Travel_Word_Problems/430294: A baseball diamond is actually a square,90 feet on a side. what is the distance from home plate to 2nd base(which is the diagonal of the square)? round to the nearest foot 1 solutions Answer 298914 by Alan3354(30968)   on 2011-04-02 23:21:27 (Show Source): You can put this solution on YOUR website! 90*sqrt(2) = 127 feet

Trigonometry-basics/430337: word problem: A double axel is a figure-skating jump in which the skater makes 2.5 revolutions in the air. If a skater is in the air for 0.66s during a double axel, what is her average angular speed to the nearest degree per second? this is how i solved it, is it right? 2.5 revolutions = 900 degrees so 900 divided by .66 equals 1364% 1 solutions Answer 298909 by Alan3354(30968)   on 2011-04-02 23:19:36 (Show Source): You can put this solution on YOUR website! A double axel is a figure-skating jump in which the skater makes 2.5 revolutions in the air. If a skater is in the air for 0.66s during a double axel, what is her average angular speed to the nearest degree per second? this is how i solved it, is it right? 2.5 revolutions = 900 degrees so 900 divided by .66 equals 1364% ------------------ 900 deg/0.66 sec = 1364 deg/sec not percent

logarithm/430344: 5 to the x = 17. State solution to the equation. 1 solutions Answer 298875 by Alan3354(30968)   on 2011-04-02 21:05:51 (Show Source): You can put this solution on YOUR website! 5 to the x = 17. State solution to the equation. ---------- x =~ 1.099299126 I doubt you want the other 16 solutions.

Surface-area/430349: If the surface area and volume of a sphere have the same numerical value, find the radius of the sphere. 1 solutions Answer 298874 by Alan3354(30968)   on 2011-04-02 21:03:52 (Show Source): You can put this solution on YOUR website! 3

Surface-area/430368: If the surface area and volume of a sphere have the same numerical value, find the radius of the sphere. 1 solutions Answer 298873 by Alan3354(30968)   on 2011-04-02 21:02:14 (Show Source): You can put this solution on YOUR website! r = 3

Graphs/430361: 2y + 5x = -2 1 solutions Answer 298872 by Alan3354(30968)   on 2011-04-02 21:01:16 (Show Source): You can put this solution on YOUR website! Do you have a question?

Finance/430366: Can I get a little help please? Find the APY for a nominal rate of 8.5% compounded monthly? (To the nearest hundredth of a percent) 1 solutions Answer 298871 by Alan3354(30968)   on 2011-04-02 21:00:43 (Show Source): You can put this solution on YOUR website! (1 + 0.085/12)^12 = 1.08839 --> 8.84%

Exponents-negative-and-fractional/430356: Can someone confirm if I am doing this problem right? I have to provide the answer in fraction in lowest terms. Question: 2/(x-1) - 4/(x-1) My solution = 2(x-1)/(x-1)(x+1)- 4(x+1)/(x-1)(x+1) = -2x-6/(x+1)(x-1) Thanks 1 solutions Answer 298868 by Alan3354(30968)   on 2011-04-02 20:42:31 (Show Source): You can put this solution on YOUR website! 2/(x-1) - 4/(x-1) = -2/(x-1) = 2/(1-x) -------------------- My solution = 2(x-1)/(x-1)(x+1)- 4(x+1)/(x-1)(x+1) ------------ = -2x-6/(x+1)(x-1) There's no x+1 in the problem.

Exponential-and-logarithmic-functions/430364: how do I find the decimal of three places. I have the problem (x+5)^2=4. I cant figure out the three decimal thing. Coukld someone please help me 1 solutions Answer 298866 by Alan3354(30968)   on 2011-04-02 20:39:51 (Show Source): You can put this solution on YOUR website! (x+5)^2=4 ---------- x+5 = 2 x = -3 ------- x+5 = -2 x = -7 They're integers, decimals don't apply.

Quadratic_Equations/430287: How to find the zeros of the function by graphing the function? F(x)= x^2 - 25 1 solutions Answer 298848 by Alan3354(30968)   on 2011-04-02 18:50:23 (Show Source): You can put this solution on YOUR website! dl the FREE graph s/w at http://www.padowan.dk

Graphs/430332: Find the equation with the slope 3 y=3x-4 y=-3x+3 y=4x-3 y=-3x-5 1 solutions Answer 298846 by Alan3354(30968)   on 2011-04-02 18:45:19 (Show Source): You can put this solution on YOUR website! y=3x-4

logarithm/430279: find log264 1 solutions Answer 298811 by Alan3354(30968)   on 2011-04-02 16:30:00 (Show Source): You can put this solution on YOUR website! log(264) =~ 2.4216 since

Linear-equations/430271: What is the slope and y-intercept of the line (-4,-10)? How did you figure this out? 1 solutions Answer 298810 by Alan3354(30968)   on 2011-04-02 16:27:51 (Show Source): You can put this solution on YOUR website! (-4,-10) is a point, not a line. It has no slope, and no y-intercept.

Triangles/430261: Alright, I know only one Question, but I only need you to double check these for me. I have my answers blow the questions. Pretty much just question 9-15 are the ones I'm unsure of. I have 14 questions and I was wondering if someone could check my answers. This is a do or die situation. They are all right triangles. Thanks if you do. I know its a lot. 1) Find the length of the hypotenuse if one leg is 9cm and the other is 12 cm. round the nearest tenth. A. 15cm B. 17.3cm C. 21cm D. 7.9cm My answer was A. 15cm 2. Find the length of one leg of a right triangle if the length of the hypotenuse if 18 meters and the length of the other leg is 14 meters. Round to the nearest tenth. A. 22.8 B. 11.3 C. 9.8 D. 14.3 My answer was B. 11.3 3. Determine the missing measure to the nearest tenth is one leg is 24cm and the hypotenuse is 25 cm. A. 11.5 B. 7.0 C. 23.0 D. 34.7 My answer was B. 7.0 4. Determine the length of the hypotenuse when the legs are 10.5 ft and 7 ft. A. 10.5 B. 7.1 C. 12.6 D. 17.5 My answer was C. 12.6 5. If you know the length of the hypotenuse of a 30°-60° right triangle, to find the length of the side opposite the 30­° angle you need to A. muliply by the square root of two B. divide by two C. multiply by 2 D. divide by the square root of two My answer is B. divide by two. 6. Find the length of the hypotenuse in the 45°-45°-90° when one leg is 14mm. A. 7.0 mm B. 28.0 mm C. 19.8 mm D. 9.9 mm My answer was C. 19.8 mm. 7. Find the length of the second leg and the hyoptenuse of the 30°-60° right triangle, when one leg is 8 inches. A. 13.9 in, 16 in B. 13.9 in, 11.3 in C. 4.6 in, 16 in D. 8 in. 16 in 8. The hypotenuse in the 45°-45° right triangle is 8.4 centimeters long. What is the length of each of the legs to the nearest tenth? A. 7.8 cm B. 6.3 cm C. 5.9 cm D. 4.2 cm My answer was C. 5.9 cm 9. What is the length of the hypotenuse in the a 30°-60° right triangle when one leg is 12 yards. A. 6.9 yd B. 24.0 yd C. 8.0 yd D. 13.9 yd My answer was D. 13.9 yd. 10. Find sin A triangle ABC when line(leg) AC is 9, line (leg) CB is 12, and the hypotenuse is 15. Line AC is on the left, straight down(9). Line CB is straight across(12), and the hypotenuse forms line AB going from left to right(15). Sorry its a picture. I tried to explain it. A. 0.6 B. 1.25 C. 0.75 D. 0.8 My answer was D. 0.8, but im not completely sure. 11. What is tan B? Round to the nearest hundreth. It is a right triangle C makes the right angle. B to A makes the hypotenuse from Top right to bottom left. Line AC makes one of the legs, and Line BC makes the other. The measures are (leg AC 7) (LEG BC 16.8) (HYPOTENUSE 18.2) A. 0.9231 B. 0.3846 C. 2.4000 D. 0.4167 My answer was D. 0.4167 12. Find the measure of angle X given that tan X= .5736. A. 55 B. 30 C. 35 D. 100 13. Determine the measure of angle K to the nearest degree. The line(leg) JL is 4, line (leg) LK is 12, and the hypotenuse is 12.6 . Angle L makes the right angle. Line JL is on the left, straight down(4). Line LK is straight across(12), and the hypotenuse forms line JK going from left to right(12.6). A. 72° B. 71° C. 33° D. 18° My answer A. 72° 14. What is the length of the hypotenuse in triangle QRS? Round to the nearest tenth. It gives that the Triangle is 40° and 90°, so that leaves the other angle to be 50°. It only gives that the line(leg) QS is 7.8. Angle L makes the right angle. Line JL is on the left, straight down. Line SR is straight across, and the hypotenuse forms line QR going from left to right. A. 6.5 B. 12.1 C. 10.2 D. 6.0 My answer was C. 10.2 1 solutions Answer 298808 by Alan3354(30968)   on 2011-04-02 16:25:21 (Show Source): You can put this solution on YOUR website! 7. A ------------- 9. What is the length of the hypotenuse in the a 30°-60° right triangle when one leg is 12 yards. A. 6.9 yd B. 24.0 yd C. 8.0 yd D. 13.9 yd My answer was D. 13.9 yd. It depends on which leg is 12 yds If it's the short one, hyp = 24 If the other one, hyp = 13.9 ------------------------------ 12 B ------- 13 D 18 degs 14 is not clear

Travel_Word_Problems/430211: If I am travelling in a vehicle at 80 kph for 8 seconds what distance have I travelled? 1 solutions Answer 298771 by Alan3354(30968)   on 2011-04-02 13:26:46 (Show Source): You can put this solution on YOUR website! 1 hour = 3600 seconds 80 km/hr = 80 km/3600 seconds d = 8* 80/3600 km 8/45 km d = 0.1777... km

Numbers_Word_Problems/430168: How do I translate this sentence into an equation: one third of the differnce of a number and seven is 30? do I begin with division or subtraction? I'm so lost on this one. 1 solutions Answer 298742 by Alan3354(30968)   on 2011-04-02 09:44:00 (Show Source): You can put this solution on YOUR website! n = the number The difference can be n-7 or 7-n, a bit loose there. Using n-7 as the difference: (1/3)(n-7) = 30 or (n-7)/3 = 30

Miscellaneous_Word_Problems/430164: 1 hour 20 minutes + 3 hours 30 minutes 1 solutions Answer 298741 by Alan3354(30968)   on 2011-04-02 08:44:49 (Show Source): You can put this solution on YOUR website! Add the hours, and add the minutes

Graphs/19138: 2x-3y=9 1 solutions Answer 298740 by Alan3354(30968)   on 2011-04-02 08:43:36 (Show Source): You can put this solution on YOUR website! What do you want to do? You have one equation and 2 unknowns.

test/430166: I have a question. I am working on consider the following piecewise defined function. Evaluate the given at x = -5. Problem is f(x)= top part is 1/2x+6 if x is less than or equal to -5. Bottom one is -1/4x+7 if x is greater than -5 hope this makes sense! 1 solutions Answer 298739 by Alan3354(30968)   on 2011-04-02 08:40:49 (Show Source): You can put this solution on YOUR website! Evaluate the given at x = -5. Problem is f(x)= top part is 1/2x+6 if x is less than or equal to -5. Bottom one is -1/4x+7 if x is greater than -5 ------------------ Bottom one is -1/4x+7 if x > -5 That doesn't apply at x = -5, only > -5. ---------------- 1/2x+6 if x <= to -5 (1/2)*-5 + 6 = 7/2

Quadratic_Equations/430134: how do i find A : B = tan A B is 2.667, but i dont know what the next step is. after I find A, im supposed to use it in the equation : a =[ -16 / v^2 (cos A)^2]x^2 + (tan A)x so any help would be appreciated 1 solutions Answer 298715 by Alan3354(30968)   on 2011-04-01 22:49:57 (Show Source): You can put this solution on YOUR website! how do i find A : B = tan A B is 2.667, but i dont know what the next step is. ------------- Use a calculator to find A A =~ 69.446 degrees ---------------------- after I find A, im supposed to use it in the equation : a =[ -16 / v^2 (cos A)^2]x^2 + (tan A)x so any help would be appreciated ------------------ a =[ -16 / v^2 (cos A)^2]x^2 + (tan A)x cos(A) =~ 0.351 tan(A) = b = 2.667 Sub for those. I don't know what v and x are.

Travel_Word_Problems/430129: Person A travels 2400 miles in 4 hours 16 minutes. Person B travels the same distance at a speed 2/3 as fast as Person A. What is the speed of Person B 1 solutions Answer 298713 by Alan3354(30968)   on 2011-04-01 22:42:46 (Show Source): You can put this solution on YOUR website! B would travel 2/3 of 2400 miles in 4:16 then. 1600 mi/(4 4/15 hrs) = 1600/(64/15) = 1600*15/64 = 375 mi/hr

Miscellaneous_Word_Problems/430123: 2 feet 4 inches + 4 feet 8 inches 1 solutions Answer 298707 by Alan3354(30968)   on 2011-04-01 22:05:31 (Show Source): You can put this solution on YOUR website! = 6 ft 12 inches = 7 feet

Graphs/430052: graph the inequality on a plane: 5x - 4 <= 9x + 4 1 solutions Answer 298665 by Alan3354(30968)   on 2011-04-01 19:53:47 (Show Source): You can put this solution on YOUR website! 5x - 4 <= 9x + 4 Simplify it first. 5x <= 9x + 8 0 <= 4x + 8 4x + 8 >= 0 4x >= -8 x >= -2 -------- dl the FREE graph software at http://www.padowan.dk to make the graph

Word_Problems_With_Coins/430028: how many ways can you put fifty cents into a candy machine , using only nickels and/or dimes? 1 solutions Answer 298664 by Alan3354(30968)   on 2011-04-01 19:51:27 (Show Source): You can put this solution on YOUR website! The # of nickels cannot be odd. # of nickels = 0, 2, 4, 6, 8 or 10 The dimes make the difference. 6 ways.

Rational-functions/430032: Find all solutions to the equation: Tan θ + 1 = 0 write your answer in radians in terms of PIE. 1 solutions Answer 298663 by Alan3354(30968)   on 2011-04-01 19:48:00 (Show Source): You can put this solution on YOUR website! tan(t) + 1 = 0 tan(t) = -1 t = 3pi/4, 7pi/4 in the first cycle ------------------ It's pi, the Greek letter, not pie, the dessert. ----------- A more complete answer is theta = 3pi/4 + n*pi, n = 0,1,2,3,...

test/430075: can you please tell me if i did these right?? *Solve 7x – 2 ≤ 3(3x + 2) is the solution x≤-2? *Solve –9(x – 2) < –72. is the solution x>10? thanks! 1 solutions Answer 298661 by Alan3354(30968)   on 2011-04-01 19:44:24 (Show Source): You can put this solution on YOUR website! *Solve 7x – 2 ≤ 3(3x + 2) 7x - 2 <= 9x + 6 7x < = 9x + 8 0 < = 2x + 8 2x + 8 >=0 2x >= -8 x >= -4 ------------------- is the solution x≤-2? Doesn't appear to be. ----------------------- *Solve –9(x – 2) < –72. -9x + 18 < -72 -9x < -90 -x < -10 x > 10

Evaluation_Word_Problems/429997: Is (x-3) a factor of p(x)=x^4-5x^2-27x+15? 1 solutions Answer 298608 by Alan3354(30968)   on 2011-04-01 14:06:52 (Show Source): You can put this solution on YOUR website! No. If you sub 3 for x, p(3) <> 0

Travel_Word_Problems/429990: Aircraft speed is calculate in nautical Miles per hour or knots. Two aircraft are flying in same direction. Aircraft A is flying at 210 miles per hour and Aircraft B at 330 Knots. At 1000hrs both aircraft are 75 nautical miles. At what time will a distance of 12 nautical miles exits between the two aircraft? 1 solutions Answer 298602 by Alan3354(30968)   on 2011-04-01 13:56:38 (Show Source): You can put this solution on YOUR website! Aircraft speed is calculate in nautical Miles per hour or knots. Two aircraft are flying in same direction. Aircraft A is flying at 210 miles per hour and Aircraft B at 330 Knots. At 1000hrs both aircraft are 75 nautical miles. At what time will a distance of 12 nautical miles exits between the two aircraft? ------------------------ 1 mph = 1 statute mile/hour = 5280 ft/hour 1 knot = 1 nautical mile/hour = 6080 ft/hour They are not the same thing. 1 knot =~ 1.15 mph ------------------- "At 1000hrs both aircraft are 75 nautical miles." What does that mean? ------------------- Whoever wrote this problem needs to learn some things, and try again.

Quadratic_Equations/429922: (x-1)(x+1)(x)=120 1 solutions Answer 298593 by Alan3354(30968)   on 2011-04-01 12:52:45 (Show Source): You can put this solution on YOUR website! (x-1)(x+1)(x)=120 x = 5 ---------- 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 : . The discriminant -71 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -71 is + or - . The solution is , or Here's your graph: