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Recent problems solved by 'solver91311'

solver91311 answered: 17063 problems
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 Parallelograms/598158: ABCD is a parllelogram. If angle D = 72, then what is angle A ? 1 solutions Answer 378473 by solver91311(17077)   on 2012-04-12 14:28:07 (Show Source): You can put this solution on YOUR website! If parallelogram ABCD is labeled in standard fashion, then angle A and angle D are supplementary. John My calculator said it, I believe it, that settles it
 test/598159: How do you know what therems to use to break down an equations.1 solutions Answer 378472 by solver91311(17077)   on 2012-04-12 14:26:53 (Show Source): You can put this solution on YOUR website! You take Algebra I and Algebra II. Study diligently. John My calculator said it, I believe it, that settles it
 Linear-equations/598142: are all linear equations functions? 1 solutions Answer 378467 by solver91311(17077)   on 2012-04-12 13:24:09 (Show Source): You can put this solution on YOUR website! See Question 598144 John My calculator said it, I believe it, that settles it
 Linear-equations/598144: is there an instnace when linear equation is not a function?1 solutions Answer 378465 by solver91311(17077)   on 2012-04-12 13:19:47 (Show Source): You can put this solution on YOUR website! Yes. is a linear equation but violates the "one output for any given input" rule. In fact, the solution set for is , hence for any given value in the domain of the relation, namely , you cannot pin down a specific value of because can be any real number. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/598140: A room is eleven ft longer than it is wide. If the perimeter is 70 ft, what are the dimensions of the room? 1 solutions Answer 378464 by solver91311(17077)   on 2012-04-12 13:07:02 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: , , and . Do the arithmetic. John My calculator said it, I believe it, that settles it
 Functions/597983: Using the given points, determine the slope. (8, 1) and (8, -4)1 solutions Answer 378419 by solver91311(17077)   on 2012-04-12 00:17:32 (Show Source): You can put this solution on YOUR website! The -coordinates are equal so the slope is undefined. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/597902: How many years will it take for an initial investment of $12000 to grow to$26300 if it earns 4% interest compounded daily. Assume there are 365 days in a year. Express you answer to the nearest hundreth of a year.1 solutions Answer 378386 by solver91311(17077)   on 2012-04-11 21:06:13 (Show Source): You can put this solution on YOUR website! where is the future value is the present value is the annual interest rate expressed as a decimal. is the number of compounding periods in a year. is the number of years. Plug in your given values and beat your calculator into submission. Note: Use of the natural logs is optional. Choose any base you like commensurate with the capabilities of your calculator or spreadsheet. John My calculator said it, I believe it, that settles it
 Circles/597896: In the circle whose equation is x^2 + y^2 = 49, a chord is perpendicular to a diameter at the point (0,4). a. What is the length of the chord? b What are the coordinates of the chords end points?1 solutions Answer 378382 by solver91311(17077)   on 2012-04-11 20:52:29 (Show Source): You can put this solution on YOUR website! The circle is centered at the origin, so a diameter through the point (0,4) must be a vertical line, moreover it must lie in the -axis. The perpendicular chord must then lie in a horizontal line with the equation . Construct the chord and then construct the radii that intersect the circle at the two points of intersection of the chord and the circle. You will have created two right triangles with vertices at the origin, the point (0,4) and the points of intersection of the chord and the circle. The radius of the circle is 7, hence the measure of the hypotenuse of each of your two right triangles is also 7. Also, the measure of the short side of the triangles is 4 since the short side is on the -axis from the origin to the point (0,4). Use Pythagoras to calculate the measure of each half of the desired chord. The measure of the cord is 2 times this value. The -coordinates of the two endpoints of the chord are the positive and negative of this value and the -coordinate of the endpoints is, perforce, 4. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/597890: Please help me solve this equation: 1 solutions Answer 378380 by solver91311(17077)   on 2012-04-11 20:39:50 (Show Source): You can put this solution on YOUR website! Factor it. Hint: -7 times -3 equals +21. -7 plus -3 equals -10. John My calculator said it, I believe it, that settles it
 Quadratic-relations-and-conic-sections/597868: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13). Give the equation in standard form y = ax2 + bx + c.1 solutions Answer 378376 by solver91311(17077)   on 2012-04-11 20:13:57 (Show Source): You can put this solution on YOUR website! If a parabola has a vertex at (-3, 5) and passes through (-1, 13), then by symmetry, it must also pass through (-5, 13). If it passes through the point (-3, 5), then Likewise: and Giving the following 3X3 system: Solve the 3X3 system for the ordered triple to determine your coefficients for the function: John My calculator said it, I believe it, that settles it
 Sequences-and-series/597867: 6 is 4% of what number?1 solutions Answer 378374 by solver91311(17077)   on 2012-04-11 19:58:10 (Show Source): You can put this solution on YOUR website! Let represent the number you are trying to calculate. Then . Solve for John My calculator said it, I believe it, that settles it
 Expressions-with-variables/597864: How can I solve for y: -11y-4(3-2y)=7-3(5-y)1 solutions Answer 378373 by solver91311(17077)   on 2012-04-11 19:56:15 (Show Source): You can put this solution on YOUR website! Use the distributive property to remove all of the parentheses. Collect all like terms with the variable in the LHS, and collect all constant terms in the RHS. Multiply both sides by the reciprocal of the resulting coefficient on the variable. John My calculator said it, I believe it, that settles it
 Surface-area/597839: You want to form a rectangular pen of area, a=70 ft^2. One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the width of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is L=70/w. The total amount of fence required is the function F=2w + 70/w, in feet. Determine the dimensions of the rectangle that requires a minimum amount of fence. Round to decimal places. width = feet length = feet I have been having difficulty with area problems. Any help would be greatly appreciated. Thanks!!!1 solutions Answer 378371 by solver91311(17077)   on 2012-04-11 19:50:22 (Show Source): You can put this solution on YOUR website! I hope you are taking Calculus, because that is the only way I know how to solve this one. Minimize Take the first derivative: Set the first derivative equal to zero and solve for the value of the independent variable at a local extremum. Discard the negative root; measurements of distance less than zero are absurd in this context. Take the second derivative: Which is positive for all positive values of the independent variable. Therefore the local extreme is a minimum. Hence the minimum amount of fence is required when the width measures . You should be able to determine the length yourself using . Using the calculator and rounding is also up to you. John My calculator said it, I believe it, that settles it
 Rectangles/597613: 1.find the length and width of a rectangle that has perimeter 40 meters and a maximum area. 1 solutions Answer 378282 by solver91311(17077)   on 2012-04-11 14:52:28 (Show Source): You can put this solution on YOUR website! The perimeter of a rectangle is given by: Which can be rearranged to: The area, given by length times width, can then be represented as a function of the width for a given perimeter thus: This function is a quadratic that can be put into standard form thus: The graph of such a quadratic is a parabola that is concave down (the lead coefficient is less than zero), meaning that the vertex represents a maximum. The coordinate of the vertex of this parabola is given by: Therefore the width that gives the greatest area rectangle for any given perimeter is the perimeter divided by 4. The two widths are therefore half of the perimeter, hence the two lengths must also be half of the perimeter, and therefore the shape is a square. Divide your given perimeter by 4 and then square the result. John My calculator said it, I believe it, that settles it
 Triangles/597610: tell whether the side lengths 6,8,10 of a triangle would be right, acute or obtuse.1 solutions Answer 378245 by solver91311(17077)   on 2012-04-11 12:19:45 (Show Source): You can put this solution on YOUR website! Hint: If is a Pythagorean triple, then is also a Pythagorean triple. 3, 4, 5 is a Pythagorean triple. John My calculator said it, I believe it, that settles it
 test/597603: You have a set of lettered tiles:  R, E, X,  V,  U,  X,  J.     You randomly choose one of the lettered tiles. Without replacing the first tile, you choose a second tile. Find the probability of choosing the first tile, then the second tile. a.  P(X,  U) b.  P(X, X) c.  P(Not X, X) d.  P(vowel, consonant) e.  P(R, X)   1 solutions Answer 378244 by solver91311(17077)   on 2012-04-11 12:17:19 (Show Source): You can put this solution on YOUR website! There are 2 vowels in 7 tiles, hence Once you have chosen a vowel, then there are 6 tiles left, 5 of which are consonants, so: John My calculator said it, I believe it, that settles it
 Linear-equations/597480: i want to know... the slope and y intercept of the line represented by this equation. y= -56x+681 solutions Answer 378213 by solver91311(17077)   on 2012-04-11 00:09:09 (Show Source): You can put this solution on YOUR website! The slope is and the -intercept is John My calculator said it, I believe it, that settles it
 logarithm/597473: How would you solve this Find the value of x. log64(x) = 1/31 solutions Answer 378212 by solver91311(17077)   on 2012-04-11 00:07:13 (Show Source): You can put this solution on YOUR website! Use the definition of the logarithm function: John My calculator said it, I believe it, that settles it
 Trigonometry-basics/597462: what is the supplement of pi/21 solutions Answer 378209 by solver91311(17077)   on 2012-04-10 23:51:53 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/597362: Having problems simplifing this equation x-y/xy - a-y/ay1 solutions Answer 378149 by solver91311(17077)   on 2012-04-10 20:25:47 (Show Source): You can put this solution on YOUR website! Though there are other ways to interpret your expression (NOT equation since there is no equals sign anywhere to be seen), I'm going to presume you mean: The LCD is so multiply the first fraction by and the second fraction by : Simplify and collect terms in the numerator: Factor out of the numerator: And finally, eliminate the factor of common to both numerator and denominator: John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/597378: a rope stretches from the top of a 20-foot pole to a point ten feet from the bottom of the pole. how long is the rope?1 solutions Answer 378147 by solver91311(17077)   on 2012-04-10 20:13:25 (Show Source): You can put this solution on YOUR website! Use Pythagoras. John My calculator said it, I believe it, that settles it
 test/597363: How long would it take to $2,700 working 5 days a week, 8 hour days at 8 dollars an hour?1 solutions Answer 378146 by solver91311(17077) on 2012-04-10 20:11:31 (Show Source): You can put this solution on YOUR website! Multiply 5 times 8 times 8 to get the weekly wage. Divide 2700 by the weekly wage to get the number of weeks required to accumulate$2700. John My calculator said it, I believe it, that settles it
 Linear-systems/597371: how do you come up with the answer to this equation x-y=5 and x=2y+11 solutions Answer 378145 by solver91311(17077)   on 2012-04-10 20:07:45 (Show Source): You can put this solution on YOUR website! That is not AN equation. It is a system of equations. There are at least 4 ways to solve it: Substitution, Elimination, Gauss-Jordan Row Reduction, and Cramer's Rule. I'm not going to do all of them for you, so you have to tell us what you want. John My calculator said it, I believe it, that settles it
 Sequences-and-series/597375: 4 E i^2 i=0 find the sum1 solutions Answer 378143 by solver91311(17077)   on 2012-04-10 20:02:55 (Show Source): You can put this solution on YOUR website! The sum of the first integers squared is given by Substitute 4 for and do the arithmetic. You get to do your own arithmetic. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/597341: How do you calculate the roots of the function f(x)=-2csc(x-pi/2)+4 in the interval [0,pi]?1 solutions Answer 378138 by solver91311(17077)   on 2012-04-10 19:55:18 (Show Source): You can put this solution on YOUR website! in I presume you mean the zeros of the function since "roots" is really a term that is used with polynomial functions. Cosecant is the reciprocal of sine or So which is in the given interval if and only if Hence, Or which is not in the given interval for any values of Therefore the solution set contains the single element John My calculator said it, I believe it, that settles it
 Sequences-and-series/597343: 1,-1,1,-1,1 find the expression for the sequence to find the nth term??1 solutions Answer 378131 by solver91311(17077)   on 2012-04-10 19:22:39 (Show Source): You can put this solution on YOUR website! You can also use a piecewise function: John My calculator said it, I believe it, that settles it
 Money_Word_Problems/597332: If you own a pizza business and your cost is 5 dollars for a 6 inches pizza, what would you charge for an 18 inch pizza?1 solutions Answer 378126 by solver91311(17077)   on 2012-04-10 19:15:22 (Show Source): You can put this solution on YOUR website! Impossible to answer. You haven't established a proportional relationship between the cost of a pizza and its diameter. And you haven't provided any profit margin information. You could establish that a pizza with three times the diameter (and therefore 3 times the radius) has an area that is 9 times the smaller pizza so as to make a claim that the 18 inch pizza costs 9 times the cost of the 6 inch. The problem with that idea is that some of the $5 cost of making the 6 inch pie is fixed overhead cost, that is to say cost that remains the same whether you make a 6 inch pizza or one that is 5 feet across and fills the entire oven, and the rest of the$5.00 is the cost of ingredients which cost is related to the actual size of the pie. But even if you had provided information to allow allocation of the fixed and variable costs, your question asks for the PRICE of the larger pizza. You can't get from cost to price without some idea of the margin. John My calculator said it, I believe it, that settles it
 Linear-systems/597325: Rosa has $3.10 in nickels and dimes. she has 10 less nickels than she has dimes. how many dimes and nickels does she have1 solutions Answer 378122 by solver91311(17077) on 2012-04-10 18:57:02 (Show Source): You can put this solution on YOUR website! Let represent the number of dimes and then has to be the number of nickels. Dimes are worth 10 cents each, so the total value of the dimes must be cents. Likewise, nickels are worth 5 cents so the total value of the nickels is . All together the dimes and nickels are worth$3.10, which is the same thing as 310 cents, hence: Solve for , then calculate . John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/597326: a car travels 528 miles on 16 gallons of gas. at the same rate how many gallon of gas are need to travel 165 miles. 1 solutions Answer 378118 by solver91311(17077)   on 2012-04-10 18:47:32 (Show Source): You can put this solution on YOUR website! Divide 528 by 16 to get miles per gallon. Then divide 165 by miles per gallon. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/597320: Raja lives in Ft Pierce and his cousin lives in Clearwater. The distance btw the two is 170miles. The cousin decides to meet for a visit some place btw their homes. Raja leaves Ft. Pierce at 10am traveling an avg speed of 50mph. His cousin leaves Clearwater at 11am traveling an avg of 30mph. At what distance, in miles from Ft Pierce will the two cousins meet? 1 solutions Answer 378117 by solver91311(17077)   on 2012-04-10 18:46:26 (Show Source): You can put this solution on YOUR website! If the guy who starts at 10am is going 50 mph, he will have gone 50 miles when the other guy starts. Which is to say that when the second guy starts they will be 170 minus 50 = 120 miles apart. Distance equals rate times time, so time equals distance divided by rate. The distance the 50mph guy will cover of the remaining 120 miles can be represented by , so The other guy must be traveling what remains of the 120 after you subtract the miles the first guy will cover, so his trip is described by: Since we are concerned with the time they meet, the time each of them is on the road (starting at the 11:00 am time) is equal, hence: Solve for John My calculator said it, I believe it, that settles it
 Linear-systems/597313: find a fraction whose value is 4/7 and whose denominator is 15 greater than its numerator. if this is all i am asked, how do i know anything about a numerator or a denominator? how do I slove something like this. when you show me how, can you explain all the steps?1 solutions Answer 378114 by solver91311(17077)   on 2012-04-10 18:33:44 (Show Source): You can put this solution on YOUR website! In the fraction , 4 is the numerator and 7 is the denominator. Let represent the as yet unknown numerator. Then the denominator of the unknown fraction must be . Hence, a representation of the fraction you want is: And finally, you are given that the value of this fraction is: Therefore Since we know that is equivalent to: We can cross-multiply to get: Now just solve the equation for , then calculate , and construct the desired fraction. John My calculator said it, I believe it, that settles it