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# Recent problems solved by 'solver91311'

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 Geometry_proofs/602872: Assume that abcd is a rhombus. Prove that ac is prependicular to bd (let e be the point of intersection$1 solutions Answer 380488 by solver91311(17077) on 2012-04-24 12:24:30 (Show Source): You can put this solution on YOUR website! Draw the diagonals forming 4 triangles. Since it is a rhombus, it is also a parallelogram. The diagonals of a parallelogram bisect each other. AB congruent AD, defn of rhombus AE congruent AE, reflexive equality BE congruent DE, diagonals of parallelogram bisect each other Triangle ABE congruent triangle ADE by SSS Angle BED is a straight angle, hence measures 180 degrees. Angle AEB congruent Angle AED by CPCT measure of BED equals measure AEB + measure AED measure of BED equals 2 times measure AEB measure AEB is 90 QED. John My calculator said it, I believe it, that settles it  Exponential-and-logarithmic-functions/602881: What is x^2+10x-12000 factored?1 solutions Answer 380485 by solver91311(17077) on 2012-04-24 12:08:02 (Show Source): You can put this solution on YOUR website! The given trinomial cannot be factored over the rational numbers. Depending on your instructions you can either declare the trinomial to be prime, or factor it over the irrationals. If your instructor expects you to factor it over the irrationals, set the trinomial equal to zero and solve using the quadratic formula. You will obtain two roots, and . The factors of the trinomial are then and . John My calculator said it, I believe it, that settles it  Probability-and-statistics/602653: Below are the home states of 19 college professors. New Jersey Ohio Michigan Georgia Nebraska Wisconsin Ohio South Carolina Pennsylvania Michigan Georgia New Jersey Wisconsin Georgia Ohio Florida Georgia New Jersey South Carolina i. Make a frequency table using these 9 states: Florida Georgia Michigan Nebraska New Jersey Ohio Pennsylvania South Carolina Wisconsin My work: States Tally Frequency Florida | 1 Georgia |||| 4 Michigan || 2 Nebraska | 1 New Jersey ||| 3 Ohio ||| 3 Pennsylvania | 1 South Carolina || 2 Wisconsin || 2 ii. What is (are) the mode(s)? There are 3 (1s) and 3 (2s) iii. Does it make sense to talk about the average for this data? Why or why not? Really not sure how to come up with this answer iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table: Home State Frequency Percentage of total Measure of Central Angle (in degrees) Florida Georgia Michigan Nebraska New Jersey Ohio Pennsylvania South Carolina Wisconsin My Work: Home State Frequency Percentage of total Measure of Central Angle (in degrees) Florida 1 1/19*100=5.26% .0526*360=18.94 degrees Georgia 4 4/19*100=21.05% .2105*360=75.78 degrees Michigan 2 2/19*100=10.53% .1053*360=37.91 degrees Nebraska 1 1/19*100=5.26% .0526*360=18.94 degrees New Jersey 3 3/19*100=15.79% .1579*360=56.84 degrees Ohio 3 3/19*100=15.79% .1579*360=56.84 degrees Pennsylvania 1 1/19*100=5.26% .0526*360=18.94 degrees South Carolina 2 2/19*100=10.53% .1053*360=37.91 degrees Wisconsin 2 2/19*100=10.53% .1053*360=37.91 degrees Anyone know if this is correct? And can someone tell me how to figure out part iii.? 1 solutions Answer 380363 by solver91311(17077) on 2012-04-23 20:24:38 (Show Source): You can put this solution on YOUR website! The mean (or average) doesn't tell you anything meaningful about this data. The mode is a much more meaningful measure of central tendancy in this case, and the mode of this data (4 in Georgia) is going to stick right out when you create your pie chart because Georgia's piece of the pie will be larger than the others. In contrast to the mean for this data, the mode points to a specific data point where as there is no place that has an "average" number of college professors. John My calculator said it, I believe it, that settles it  Geometry_Word_Problems/602652: 1. The border around a square painting is 4cm wide. Each side of the painting is 40cm long. Find the area of the border. 2. A rectangular flower-bed measures 10m by 6m. It has a path 2m wide around it. Find the are of the path. 3. A rectangular piece of glass measures 60cm by 46cm. When it is placed on a table, it leaves a margin 4cm wide all round it. What is the area of the table-top NOT covered by the glass? 4. A rectangular carpet is placed on the floor of a room which measures 8m by 7m. It leaves a margin 1m wide around it. Find the area of the carpet.1 solutions Answer 380362 by solver91311(17077) on 2012-04-23 20:15:56 (Show Source): You can put this solution on YOUR website! The area of the whole thing is 48 times 48 cm. The area of just the picture is 40 times 40. Subtract the area of the picture from the area of the whole thing. John My calculator said it, I believe it, that settles it  Volume/602638: A cube has volume of 4,906 cm3. What is the lenght of each edge of the cube?1 solutions Answer 380361 by solver91311(17077) on 2012-04-23 20:14:03 (Show Source): You can put this solution on YOUR website! The cube root of 4906. But I'll bet you really meant to type 4096, in which case the edge of the cube is the cube root of 4096 which is 16. Centimeters, of course. John My calculator said it, I believe it, that settles it  Rational-functions/602642: What are some ways that adding radical expressions is similar to adding polynomial expressions? How are the two processes different? 1 solutions Answer 380359 by solver91311(17077) on 2012-04-23 20:09:12 (Show Source): You can put this solution on YOUR website! In order to add radicals, they have to be the same, just like the variables in a polynomial. You can add 1 fernblatz plus 2 fernblatzes to get 3 fernblatzes, but you can't add 1 fernblatz and 1 horbesnort because they are two different things. You can add Just like you can add but you can't add Just like you can't add John My calculator said it, I believe it, that settles it  Linear_Equations_And_Systems_Word_Problems/602640: A person invested$17,000 for one year,part at 10%, part at 12%, part at 15%. The total annual income from these investments was $2,110. The amount of money invested at 12% was$1,000 less than the amount invested at 10% and 15% combined. Find the amount invested at each rate.1 solutions Answer 380358 by solver91311(17077)   on 2012-04-23 20:03:20 (Show Source): You can put this solution on YOUR website! Solve the 3X3 system. Recommend the substitution method to eliminate y first. Then solve for z in terms of x and solve the rest by substitution as well. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/602639: a couple inherit $40000 and deposi it in a fixed term deposit that pays 4.5% p.a. compounded quarterly. They withdraw the money as soon as they have over$45000. how long did they keep the money in that account?1 solutions Answer 380356 by solver91311(17077)   on 2012-04-23 19:54:12 (Show Source): You can put this solution on YOUR website! Solve for John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/602595: one number is 36 more than another number. Find the smallest possible value for their product. one number is x the next would be x + 36 product would be x^2 + 36x .... How do I find the smallest product?1 solutions Answer 380355 by solver91311(17077)   on 2012-04-23 19:51:57 (Show Source): You can put this solution on YOUR website! Graph is a parabola opening upward. Vertex is at So fill in the numbers: And do the arithmetic to find , then plug that value into to find the value of the function at the vertex which is the minimum value of the function and hence the smallest product. John My calculator said it, I believe it, that settles it
 Volume/602623: what is the volume of a cylinder if the area of the base is 50 square inches and the height is 12 inches1 solutions Answer 380349 by solver91311(17077)   on 2012-04-23 19:30:36 (Show Source): You can put this solution on YOUR website! The volume of a cylinder in cubic units is the area of the base in square units times the height in units. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/602612: suppose you invest $1500 in an acount paying 4.75% annual interest. what is the account balance after 25 years with the interest compounded annualy, semiannually, quarterly and monthly1 solutions Answer 380348 by solver91311(17077) on 2012-04-23 19:29:20 (Show Source): You can put this solution on YOUR website! Don't forget that is expressed as a decimal Plug in your numbers. For annual compounding, , for semiannual, , for quarterly, , and for monthly, . John My calculator said it, I believe it, that settles it  Sequences-and-series/602616: One sequence is 7,11,15,19,23... Second sequence is 1,10,19,28,37 - the number 19 is in both sequences. If both sequences continue, what is the next number that is in both sequences?1 solutions Answer 380347 by solver91311(17077) on 2012-04-23 19:23:26 (Show Source): You can put this solution on YOUR website! In the first one the common difference is 4. In the second one the common difference is 9 John My calculator said it, I believe it, that settles it  Angles/602499: if m angle 2 = 74 degrees then what does m angle 6 =1 solutions Answer 380346 by solver91311(17077) on 2012-04-23 19:15:20 (Show Source): You can put this solution on YOUR website! Did you actually read the part of the instructions for posting that says "We don't have your book or your homework assignment or anything except what you tell us"? How do you expect anyone to answer you with no other information but what you provided? Use your head for something besides a hat rack. John My calculator said it, I believe it, that settles it  Radicals/602529: I would be very happy if you would help me solve this equation: 18 over 6 divided by sqrt(2)1 solutions Answer 380307 by solver91311(17077) on 2012-04-23 17:30:19 (Show Source): You can put this solution on YOUR website! I would be very happy to try to help you solve whatever equations you have, but what you have expressed is NOT an equation. Equations have two expressions, one on either side of an equals sign. You have one expression and no equals sign. Expressions, in and of themselves, do not have a "solution". John My calculator said it, I believe it, that settles it  percentage/602520: Hello 350 is what percent of 1250? Thank you1 solutions Answer 380303 by solver91311(17077) on 2012-04-23 17:21:52 (Show Source): You can put this solution on YOUR website! Divide 350 by 1250. Multiply the answer by 100. John My calculator said it, I believe it, that settles it  Linear-equations/602525: write the equation of the line in slope-intercept form m=-5/4,y-intercept(0,-3/41 solutions Answer 380302 by solver91311(17077) on 2012-04-23 17:19:53 (Show Source): You can put this solution on YOUR website! The slope intercept form is: where is the slope and is the -coordinate of the -intercept. John My calculator said it, I believe it, that settles it  Graphs/602522: Solve the conjunction -6 _< 3 +x<4. Thank you. 1 solutions Answer 380300 by solver91311(17077) on 2012-04-23 17:17:18 (Show Source): You can put this solution on YOUR website! Just add -3 to each part of the compound inequality. John My calculator said it, I believe it, that settles it  Trigonometry-basics/602425: Verify that the equation is an identity: sin^4 - cos^4 = 2sin^2 - 1 Also please show the steps if you can. It will be a lot of help since I'm not at all good with Math. Thank you! :)1 solutions Answer 380225 by solver91311(17077) on 2012-04-23 13:58:19 (Show Source): You can put this solution on YOUR website! Factor the difference of two squares in the LHS: Note that the right-hand factor in the LHS is just the Pythagorean Identity: Then, using the Pythagorean identity again in the form , substitute: Combine terms in the LHS: John My calculator said it, I believe it, that settles it  Mixture_Word_Problems/602423: If 5 quarts are needed to paint, how many gallons and quarts should I buy?1 solutions Answer 380222 by solver91311(17077) on 2012-04-23 13:47:04 (Show Source): You can put this solution on YOUR website! There are 4 quarts in a gallon. John My calculator said it, I believe it, that settles it  Exponential-and-logarithmic-functions/602419: logx + log(x-3)=1 can you help me find the answer to this question so that i can have a better understanding of what logarithms are?1 solutions Answer 380221 by solver91311(17077) on 2012-04-23 13:44:50 (Show Source): You can put this solution on YOUR website! Logarithms are exponents. Remember the sum of the logs is the log of the product: If the base is not specified, the base is assumed to be 10, hence using the definition of logarithms from above: Anything raised to the 1 power is just that thing, hence: Put the quadratic into standard form and solve. Hint: it factors. John My calculator said it, I believe it, that settles it  Geometry_Word_Problems/602413: The diameter of a construction pipe is 3ft . If the pipe is 17ft long, what is its volume? (Use the value 3.14 for 2 , and round your answer to the nearest cubic foot. Be sure to include the correct unit in your answer.)1 solutions Answer 380220 by solver91311(17077) on 2012-04-23 13:38:32 (Show Source): You can put this solution on YOUR website! A pipe is a cylinder. The volume of a cylinder is given by Remember that the diameter is twice the radius. John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/602416: How do i solve (3x-6)(2x+3)=01 solutions Answer 380219 by solver91311(17077) on 2012-04-23 13:35:09 (Show Source): You can put this solution on YOUR website! Use the Zero Product Rule, to wit: or John My calculator said it, I believe it, that settles it  Probability-and-statistics/602411: What are the odds in favor of drawing a club from an ordinary deck of cards?1 solutions Answer 380218 by solver91311(17077) on 2012-04-23 13:32:09 (Show Source): You can put this solution on YOUR website! The odds in favor of anything is the ratio of the number of possible ways for the event to occur to the number of ways that it could possibly not occur. There are 52 cards in a deck and 13 of them are clubs. John My calculator said it, I believe it, that settles it  Graphs/602412: Please show me how to do this...given the expotential modelP(t)=200E^t/4 determine the values of this expotential function for the t values of -10,-5,0,-5 and 10 use the values to sketch the graph 1 solutions Answer 380217 by solver91311(17077) on 2012-04-23 13:29:40 (Show Source): You can put this solution on YOUR website! Replace with each of the given values and then use your calculator to find the value of the function in each case. Create five ordered pairs of the form using the given and calculated values. Plot the points and draw a smooth curve through them. By the way, it is a lower case meaning the base of the natural logs, thus John My calculator said it, I believe it, that settles it  Trigonometry-basics/602392: Hi. Please help me prove that this equation is an identity because I really don't know what to do. Thank you! (cot B / sec B - tan B) - (cos B / sec B + tan B) = sin B + csc B1 solutions Answer 380216 by solver91311(17077) on 2012-04-23 13:23:02 (Show Source): You can put this solution on YOUR website! The LCD in the LHS is the product of the two denominators. The two denominators are a conjugate pair, hence the product is the difference of two squares. Apply the LCD: Use the fact that tangent is sine over cosine, cotangent is the reciprocal of tangent, secant is the reciprocal of cosine, and cosecant is the reciprocal of sine to write: Simplify the LHS numerator: Combine the fractions in the LHS denominator: Use the Pythagorean identity in the LHS denominator: Finally, apply cosecant is the reciprocal of sine John My calculator said it, I believe it, that settles it  Linear_Equations_And_Systems_Word_Problems/601725: system of three equations you are given$144.00, in one, five and ten dollar bills. There are 35 bills. The number of ten-dollar bills is two more than the number of five-dollar bills. How many bills of each type are there?1 solutions Answer 379973 by solver91311(17077)   on 2012-04-21 18:51:10 (Show Source): You can put this solution on YOUR website! Let represent the number of 1s, represent the number of 5s, and represent the number of 10s, then: Solve the system. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/601738: how many2.5cm segments are in a 10cm segment 1 solutions Answer 379972 by solver91311(17077)   on 2012-04-21 18:41:21 (Show Source): You can put this solution on YOUR website! Divide 10 by 2.5 John My calculator said it, I believe it, that settles it
 test/601730: Hi! I would like some help with this problem: According to a man's will, his estate valued at \$650.500 was settled according to the following conditions: - 3/10 of the state went to his wife. - each of his children recieved half as much as his wife. - his brother recieved one sixth as much as his wife. - the rest went to charity. what dollar amount of his estate went to charity?1 solutions Answer 379970 by solver91311(17077)   on 2012-04-21 18:36:30 (Show Source): You can put this solution on YOUR website! The wife gets 30%, the children each get 15%, and the brother gets 5%. You don't say how many children there are, but it must be more than one because you used the plural. If 2 children: If 3 children: If 4 children: The terms of the will cannot be fulfilled if 5 or more children so we must assume that there are 2, 3, or 4 children since you cannot have fractional parts of a child (despite what King Solomon was reported to have suggested). Hence, the answer is either 35%, 20%, or 5% of the total amount of the estate. Do the arithmetic. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/601678: solve. by checking work records a plumber finds that worker A can do a certain job in 12 hours.worker B can do the same job in 9 hours. how long would it take if they worked together? (algebra)1 solutions Answer 379938 by solver91311(17077)   on 2012-04-21 14:11:44 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it
 test/601679: I need help with graphing quadratic equations before I go back to school from my independent study, help!1 solutions Answer 379937 by solver91311(17077)   on 2012-04-21 14:05:31 (Show Source): You can put this solution on YOUR website!Write back and we can negotiate my fee for a complete lesson on graphing quadratic equations. Otherwise, ask ONE specific question for someone to answer.
 Rectangles/601672: what is the approximate length of the diagonal of a square if the perimeter of the square is 12 ft1 solutions Answer 379935 by solver91311(17077)   on 2012-04-21 13:45:41 (Show Source): You can put this solution on YOUR website! The measure of one side of a square is one-fourth of the perimeter. The measure of a diagonal is times the measure of one side. Use your calculator and round off to as much precision as you like. John My calculator said it, I believe it, that settles it