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Travel_Word_Problems/591956: An aircaft travels 2850 kilometers in 2.5 hours. What is the aircrafts speed? 1 solutions Answer 375794 by solver91311(16877)   on 2012-03-26 19:57:04 (Show Source): You can put this solution on YOUR website! Rate equals distance divided by time. John My calculator said it, I believe it, that settles it

Surface-area/591904: Determine the surface area and the volume of a closed box that is 5 inches wide, 4 inches deep, and 6 inches tall. 1 solutions Answer 375776 by solver91311(16877)   on 2012-03-26 18:13:20 (Show Source): You can put this solution on YOUR website! The surface area of the box consists of 6 rectangles, two that are 5 by 4, two that are 5 by 6, and two that are 4 by 6. Compute the area of each of the six rectangles and add them up to get the total surface area. The volume of a rectanglular prism is found by multiplying the length times the width times the height. John My calculator said it, I believe it, that settles it

Linear-systems/591902: please help me solve: A dam is built on a river to create a reservoir. the water level w in the reservoir is given by the equation w=3.5t + 24 where t is the number of years since the dam was constructed and w is measured in feet . what do the slope and the y-intercept of this graph represent? 1 solutions Answer 375773 by solver91311(16877)   on 2012-03-26 18:10:17 (Show Source): You can put this solution on YOUR website! The intercept, aka , aka the value of the function at zero, is the water level when the dam was first built, i.e. in year 0. The slope is the average increase in level per year. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/591825: Referring to the figure, the area and one dimension of a rectangle are shown. Find the missing dimension. Please show work and answer. ________ | | |________|x+2 a = 2x^2+2-6 1 solutions Answer 375771 by solver91311(16877)   on 2012-03-26 18:07:25 (Show Source): You can put this solution on YOUR website! Use polynomial long division to divide (presuming I corrected your typo properly) by . Purple Math Polynomial Long Division John My calculator said it, I believe it, that settles it

Proportions/591795: r u ugly? obviously im the only one in the world who is hot. 1 solutions Answer 375731 by solver91311(16877)   on 2012-03-26 15:07:55 (Show Source): You can put this solution on YOUR website! Stupid is ugly. You are stupid. Therefore, you are not hot.

Divisibility_and_Prime_Numbers/591789: What is the smallest odd number you can obtain from the product of four different prime numbers? Show or explain how you got your answer. 1 solutions Answer 375730 by solver91311(16877)   on 2012-03-26 15:05:17 (Show Source): You can put this solution on YOUR website! The product of any two odd numbers is odd: . Since is even, hence is odd. Any product that has a factor of 2 is even, so in order to get 4 prime factors of an odd number, 2 must be excluded. The smallest product is therefore obtained from the next four prime numbers. John My calculator said it, I believe it, that settles it

Graphs/591788: Moiras storage storage space has a total capacity of 1000 cubic feet. currently, 890 cubic feet of it are filled with boxes. Moira has additional large storage boxes that have a volume of 8 cubic feet each. What are the possible numbers of large storage boxes,b, that she could add to the storage space? a. 0 is less than or equal to b less than 14 b.0 is less than or equal to b less than or equal to 55 c.b={0,1,2,...13} d.b={0,1,2,...15} 1 solutions Answer 375727 by solver91311(16877)   on 2012-03-26 14:51:08 (Show Source): You can put this solution on YOUR website! Subtract 890 from 1000. Divide the result by 8. Round DOWN. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/591787: Please help me to solve this equation: C(x)=0.4x^2-fx+m. The cost function for the Blingo Hang gliding service is C(x)=0.4x^2-fx+m, where f represents the average fuel cost for a customer's daily excursion and m represents the monthly hanger rental. Also, C represents the monthly cost in dollars of the small business where x is the number of flight excursions facilitated in that month. a)If $80 is estimated to be the average fuels cost (f), and the monthly hanger rental is $5000; write an equation for the cost, C, in terms of x. My answer is cx=4/10 x^2 -80+5000 b)What is the cost when 40 flight excursions are sold in a month???? c)How many flight excursions must be sold in order to minimize the cost? Show your work algebraically. d)What is the minimum cost? Thank You! 1 solutions Answer 375726 by solver91311(16877)   on 2012-03-26 14:46:58 (Show Source): You can put this solution on YOUR website! You missed it by that much. Your second term, the one that depends on the average fuel cost, has to have an in it. After all, that makes sense since the more frequently you fly, the more fuel you use, right? John My calculator said it, I believe it, that settles it

Linear-equations/591732: how do i find the coordinates of any y-intercept and the coordinates of any x-intercept if all i am given is y = 10? do not graph. 1 solutions Answer 375725 by solver91311(16877)   on 2012-03-26 14:43:35 (Show Source): You can put this solution on YOUR website! The equation represents a horizontal line. The solution set is the set of all ordered pairs where the coordinate is equal to 10. Since none of the points have a coordinate of zero, then there is no -intercept. The intercept of any graph is a point on the graph with an -coordinate of zero. John My calculator said it, I believe it, that settles it

Finance/591762: i have two questions and i need answer to both of them please 1. a teachers aid is preparing a snack for the class. in order to prepare the powdered drink the aide must convert the directions from metric. the directions say dilute contents of package in 2 liters of water. the aide has a measuring device marked in ounces. how many ounces of water should be used? 2. over the past week 34 boys were born at the hospital. this was 54 percent of all babies born. how many girls were born over the past week? 1 solutions Answer 375724 by solver91311(16877)   on 2012-03-26 14:23:35 (Show Source): You can put this solution on YOUR website! Then you should follow instructions and post each question separately. 1. Open an instance of Google. Type in: "2 liters in ounces" and you will get the answer directly. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/591770: 2. The diagonal of a smaller square is a side of a larger square, as shown below. The area of the smaller square is 36 square centimeters. What is the area of the larger square, in square centimeters? 1 solutions Answer 375723 by solver91311(16877)   on 2012-03-26 14:20:23 (Show Source): You can put this solution on YOUR website! Half of the small square is one-forth of the large square. John My calculator said it, I believe it, that settles it

Volume/591724: Find the volume of a cone with a base radius of 4in and a height of 9in . Write the exact volume in terms of pie. 1 solutions Answer 375722 by solver91311(16877)   on 2012-03-26 14:16:10 (Show Source): You can put this solution on YOUR website! The volume of a cone is one-third of the volume of a cylinder with the same base area and height. John My calculator said it, I believe it, that settles it

Linear_Equations_And_Systems_Word_Problems/591740: A fire hose shoots water into the air from the ground. The formula h = -4.9t2 + 7t gives the height in meters t seconds after leaving the ground. This motion is called projectile motion and the path is the same as a cannon ball shot out of a cannon or a baseball thrown in the air at 7 meters per second could follow. a. Does the graph of this equation resemble a U or an upside down U? How did you determine this? b. Describe what happens the height of a drop of water leaving the hose as time passes? c. Use the method of your choice to find how long it takes water to travel from the tip of the hose back to the ground. d. Will the height peak or be at a low during the middle of the time the water is in the air? How do you know? e. After how many seconds will the peak or low occur? f. How high will the water be when the peak or low occurs? g. What are the coordinates of the vertex? How does this number relate to your answers in parts e and f? h. How many solutions are there to the equation 0 = -4.9t2 + 7t? How do you know? i. To use the quadratic formula to solve an equation like this, we need three values, represented in your text by a, b and c. In the equation in part h, what are a, b & c? j. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense? 1 solutions Answer 375721 by solver91311(16877)   on 2012-03-26 14:14:28 (Show Source): You can put this solution on YOUR website! A quadratic with a negative lead coefficient has a graph that is concave down. John My calculator said it, I believe it, that settles it

Finance/591715: if i had an 8400 loan with a 29 percent interest rate and 200 dollar monthly payments how long would it take to pay off 1 solutions Answer 375720 by solver91311(16877)   on 2012-03-26 14:11:26 (Show Source): You can put this solution on YOUR website! You would never pay it off. The first month's interest is greater than the $200 payment, so the principal would increase each month. John My calculator said it, I believe it, that settles it

Money_Word_Problems/591727: I have a couple questions that I need help with please. How much would $500 invested at 8% interest compounded continuously be worth after 15 year, rounded to the nearest cent? How much would $500 invested at 5% interest compounded monthly be worth after 7 years? round your answer to the nearest cent. Thank you for your time. 1 solutions Answer 375713 by solver91311(16877)   on 2012-03-26 12:34:46 (Show Source): You can put this solution on YOUR website! is the future value is the initial investment is the base of the natural logarithms is the interest rate as a decimal is the number of years Plug in your values and do the arithmetic: Get out your calculator and get to punching buttons. John My calculator said it, I believe it, that settles it

Trigonometry-basics/591304: Help with verifying a trigonometric identity please? secx-cosx+cscx-sinx-(sinxtanx)=(cosxcotx) 1 solutions Answer 375588 by solver91311(16877)   on 2012-03-25 16:01:37 (Show Source): You can put this solution on YOUR website! Use and to convert everything in the LHS to sine and cosine functions: Combine the first and second and third and fourth terms using and as common denominators: Apply the Pythagorean Identity: Note the two additive inverse terms in the LHS and eliminate. Decompose the fraction in the LHS: Finally, use To write: Q.E.D. John My calculator said it, I believe it, that settles it

Linear-equations/590919: Write the equation of a line parallel to the given line but passing through the given point. y=1/4x-2 (8,1) Write the equation of a line perpendicular to the given line but passing through the given point. y=-4x-5 (0,-1) Show all work step by step and explaining. 1 solutions Answer 375363 by solver91311(16877)   on 2012-03-24 00:15:10 (Show Source): You can put this solution on YOUR website! Use the point-slope form of an equation of a line: where are the coordinates of the given point and is the given/calculated slope. To determine the slopes of the desired lines use the following facts: John My calculator said it, I believe it, that settles it

Trigonometry-basics/590915: Determine the limit (as x approaches 0) of (cos3x-cos4x)/x^2. I've tried using L'Hopital's but the denominator would still be undefined... Thank you. 1 solutions Answer 375362 by solver91311(16877)   on 2012-03-24 00:12:07 (Show Source): You can put this solution on YOUR website! L'Hôpital works for , so just take the second derivative of your numerator and denominator. The denominator will then be a constant and the limit trivial. John My calculator said it, I believe it, that settles it

Functions/590904: How do I go about solving the problem " For the 2 functions, f(x) and g(x), tables of values have been shown below. What is the value of g(f(3)) ? " & here are the 2 tables shown: x | f(x) --------- -5 | 7 -2 | -5 1 | 3 3 | 2 x | g(x) -------- -2 | 3 1 | -1 2 | -3 3 | -5 Please help me to understand functions in general and how they work. As well as how I would go about solving this problem. Thank you so much.! 1 solutions Answer 375345 by solver91311(16877)   on 2012-03-23 23:46:23 (Show Source): You can put this solution on YOUR website! No one would have as much difficulty understanding functions if teachers would be precise about the language when they introduce the concept in the first place. Consider . This is NOT a function. is the function, is the value of the function at . So, what do you suppose means? If you said the value of the function at then you get a gold star on your forehead. So for this problem, find the value of the function at and then find the value of the function at that value. Capisce? John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/590907: I need help with this math Problems.. Please? I'm getting desperate. Suppose a market research company finds that at a price of p = $22, they would sell x = 42 tiles each month. If they lower the price to p = $12, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form (x,p). A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p. Substitute the result you found from part a. into the equation R = xp to find the revenue equation. Provide your answer in simplified form 1 solutions Answer 375343 by solver91311(16877)   on 2012-03-23 23:11:36 (Show Source): You can put this solution on YOUR website! You have been given the data to form two ordered pairs of the form . So form the two ordered pairs. Then use the two-point form of an equation of a line to create the desired equation: where and are the coordinates of the given points. It doesn't matter which ordered pair is number 1 and which is number 2; the result will be the same either way. Then do the arithmetic and re-arrange so that the equation is in the form . Hint: and . For the revenue equation part, once you have calculated the appropriate numbers for and substitute the specific in place of in John My calculator said it, I believe it, that settles it

Quadratic-relations-and-conic-sections/590829: What is the center of the ellipse whose equation is (x+1)2 / 4 + (y2)/1 = 1? 1 solutions Answer 375291 by solver91311(16877)   on 2012-03-23 16:39:10 (Show Source): You can put this solution on YOUR website! An ellipse with an equation is centered at Rewrite your equation so that you can see the coordinates of your ellpise directly: John My calculator said it, I believe it, that settles it

Rectangles/590808: If a triangle has one angle that is bisected and the angle bisector also divides the opposite side into two congruent segments, each with a measurement of 22, what will the measure of of the bisector be equal to? 1 solutions Answer 375286 by solver91311(16877)   on 2012-03-23 16:26:14 (Show Source): You can put this solution on YOUR website! Could be any real value on the interval John My calculator said it, I believe it, that settles it

Money_Word_Problems/590819: Please help!!!! A small country consists of 7 provinces with the following populations: Province A B C D E F G ___________________________________________________________ Population 25,312 19,734 33,407 29,591 13,288 22,751 31,992 There are 300 federal judges to be apportioned according to the population of each province. The apportionment for province G is ________. Use Webster's method. 1 solutions Answer 375283 by solver91311(16877)   on 2012-03-23 16:12:31 (Show Source): You can put this solution on YOUR website! 1. Add the province populations to get a total population for the entire country. 2. Divide the total population by the total number of judges (300) to obtain the Standard Divisor. 3. Divide each of the individual province populations by the Standard Divisor, round the results to the nearest whole number, and then add the rounded results. 4. If the sum of the results in Step 3 is larger than the original number of judges, add 1 to the Standard Divisor and repeat step 3. If the sum of the results in Step 3 is smaller than the original number of judges, subtract 1 from the Standard Divisor and repeat step 3. Continue to repeat steps 3 and 4 until the sum of the results in step 3 is equal to the total number of judges. John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/590816: Please help me solve the equation 12 to the square roor of 3 times 5 to the square root of 15 please pardon my lack of symbols. I have done everything in my power to solve this equation but can not. Thank you very much. 1 solutions Answer 375276 by solver91311(16877)   on 2012-03-23 15:53:00 (Show Source): You can put this solution on YOUR website! You do not have an equals sign or an inequality sign anywhere, so you don't have an equation or an inequality. Therefore, you cannot "solve" anything. The expression can be simplified somewhat, but that is not what you asked. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/590754: Rational Equations and Functions Referring to the figure, the area and one dimension of a rectangle are shown. Find the missing dimension. (pretend that that is the rectangle) ________________ | | | | x + 2 |_____________| A = 2x^2 + x - 6 1 solutions Answer 375272 by solver91311(16877)   on 2012-03-23 15:44:19 (Show Source): You can put this solution on YOUR website! Divide by using Polynomial Long Division. Alternatively, factor . One of the factors will be and the other will be the expression for your missing dimension. John My calculator said it, I believe it, that settles it

Coordinate-system/590596: How do I find the polar coordinates of these rectangular points..(Sorry about the wording I'm so confused)? 1. (-√3,-1) 2. (-1,-√3) I attempted two easier problems so if you could check them I'd appreciate it:) 1.(5,0)--> (5,π) 2.(0,-6)--> (π,6) 1 solutions Answer 375218 by solver91311(16877)   on 2012-03-23 00:11:26 (Show Source): You can put this solution on YOUR website! You want to convert from to Use the following relationships: For So but tangent is the ratio of sine to cosine, so: by the way, before we get too far along, notice that both and are negative which tells us that our point is in the third quadrant meaning that, whatever turns out to be, we are certain that it is in the interval Square both sides of: Then cross multiply: A little algebra music, Sammy: Apply the Pythagorean Identity: Another chorus, Sammy: Use the unit circle: To see that the 3rd quadrant angle where is So the polar coordinate point is Do the other ones the same way, including the two that you did that are, in sum, 75% wrong. John My calculator said it, I believe it, that settles it

Triangles/590450: How do I find the angle to a triangle? 1 solutions Answer 375166 by solver91311(16877)   on 2012-03-22 17:45:16 (Show Source): You can put this solution on YOUR website! Every triangle has three of them, hence the name tri-angle. They are right there at the vertices where the sides meet. John My calculator said it, I believe it, that settles it

Pythagorean-theorem/590402: abc is a right angled triangle ab= (3x+4)cm bc= (x+2) cm ac= (2x+6) cm use pyhtagoras theorem to write down an equation in x 1 solutions Answer 375163 by solver91311(16877)   on 2012-03-22 17:42:18 (Show Source): You can put this solution on YOUR website! Assume because zero or anything less than zero violates the triangle inequality (proof left as an exercise for the student). If , then is the long side and: on the other hand if , then is the long side and: You can simplify these for yourself. John My calculator said it, I believe it, that settles it

Triangles/590393: Solve the proof...This is so confusing. Given (AB) ̅≅(AE) ̅ (BC) ̅≅(DE) ̅ Prove <1≅<2 I cannot paste the figure so I will describe it. It is a triangle with A on the top and B, C, D, E at the bottom. In the middle of the triangle is C and D is 1 above C and 2 above D. A 1 2 B C D E 1 solutions Answer 375149 by solver91311(16877)   on 2012-03-22 16:11:46 (Show Source): You can put this solution on YOUR website! Since segment AB and segment AE are congruent (given), the triangle ABE must be isoscles by definition of an isosceles triangle. From that it follows that angle ABC must be congruent to angle AED, again by definition of an isosceles triangle. Then because you are given that segment BC and segment DE are congruent, triangle ABC must be congruent to triangle AED by SAS. Now you aren't clear whether angle 1 is angle ACB or ACD. Assume it is ACB, then ACB is congruent to ADE by CPCT. Therefore angle 1 equals angle 2. QED. If angle 1 is ACD and angle 2 is ADC, then since angle ACB is supplementary to angle ACD, angle ADE is supplementary to angle ADC, and from the step above angle ACB is congruent to angle ADE, then angle ACD is congruent to angle ADC by transitive equality. Therefore angle 1 equals angle 2. QED. John My calculator said it, I believe it, that settles it

Rectangles/590394: a rectangle with its length and width equal is what? 1 solutions Answer 375146 by solver91311(16877)   on 2012-03-22 15:58:41 (Show Source): You can put this solution on YOUR website! a quadrilateral, a parallelogram, a rhombus, a rectangle, and a square. John My calculator said it, I believe it, that settles it

Triangles/590383: triangle ABC has vertices A(–2, 3), B(2, 0), and C(–1, –4). Is triangleABC a right triangle? triangleABC is a right triangle because a. triangleABC is a right triangle because a. triangleABC is a right triangle because s. triangleABC is not a right triangle. 1 solutions Answer 375145 by solver91311(16877)   on 2012-03-22 15:54:55 (Show Source): You can put this solution on YOUR website! Use the slope formula to calculate the slopes of the three lines that contain the three line segments AB, AC, and BC that form the sides of the triangle. If any pair of slopes are negative reciprocals of each other, then those two segments are perpendicular, meaning that the angle between them is a right angle and yea verily the triangle is a right triangle. On the other hand, if no pair of slopes are negative reciprocals, then the triangle is not a right triangle. The slope formula is: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it