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Recent problems solved by 'stanbon'

stanbon answered: 57217 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

Equations/144117: 6x^2 - 28x + 16 x^4 + 2x^3 - 3x - 6 x^8 - 1 If I am doing it correctly and according to the book; the answer should be b. Is this correct? 1 solutions Answer 104890 by stanbon(57285)   on 2008-06-03 14:04:10 (Show Source): You can put this solution on YOUR website! Let R(x) = x^2 - 7/x^2 + 1; what happens to R(x) if we now have R(x+2)? a. It shifts 2 units to the left b. It shifts 2 units up c. It shifts 2 units to the right d. It remains stationary; there is no effect of adding 2 to x ---------------- Answer: a Cheers, Stan H.

Polynomials-and-rational-expressions/144119: I'm having trouble factoring these algebraic expressions, the rest of my problems weren't bad, but I cannot figure these three out, any help would be appreciated. thanks. 6x^2 - 28x + 16 x^4 + 2x^3 - 3x - 6 x^8 - 1 Thanks. 1 solutions Answer 104883 by stanbon(57285)   on 2008-06-03 13:18:08 (Show Source): You can put this solution on YOUR website! 6x^2 - 28x + 16 = 2(3x^2 - 14x + 8) = 2(3x^2-12x-2x+8) = 2(3x(x-4)-2(x-4)) = 2(x-4)(3x-2) ========================= x^4 + 2x^3 - 3x - 6 = x^3(x+2) -3(x+2) = (x+2)(x^3-3) = [(x+2)][(x-3^(1/3))][x^2-3(x^(1/3))+3^(2/3)] ----------------------------- x^8 - 1 (x^4+1)(x^4+1) = (x^4+1)(x^2+1)(x+1)(x-1) ============================ Cheers, Stan H.

Linear-equations/144106: I have to use either elimination or substitution to find the solutions and show my work. Then I will have to graph it. The graphin is not my problem on this one. Trying to find the intercepts and slopes is. I have to have 3 points. The equation is : 5x + 6y = 1 and x + 7y = 2 This is what I did but I don't think its right and If it is, i don't know where to go from there to get the other points. x=2-7y 5(2-7y) + 6y=1 10-35y = 6y=1 -29y= -9 y= 9/29 or 0.310344828 x=2-7(9/29) x= -5/29 or -0.172413793 1 solutions Answer 104880 by stanbon(57285)   on 2008-06-03 09:16:20 (Show Source): You can put this solution on YOUR website! This is what I did but I don't think its right and If it is, i don't know where to go from there to get the other points. x=2-7y 5(2-7y) + 6y=1 10-35y + 6y=1 -29y= -9 y= 9/29 or 0.310344828 x=2-7(9/29) x= -5/29 or -0.172413793 ------------- YOU ARE CORRECT I graphed it with a graphing calculator. Your x,y values are the point of intersection. ================== Cheers, Stan H.

Probability-and-statistics/144060: ok i have answered the question but i am lost on how to apply this to excel has anyone done this before or know how to use this? At the .01 level of significance, is the true mean greater than 10? Ho: mu = 10 Ha: mu > 10 t(14.44) = (14.44-10)/[4.45/sqrt(35)] = 4.44*sqrt (35)/4.45 = 5.9027 p-value = P (5.9027 the p-value is far less than alpha=1%, hasten to reject Ho. The test gives strong statistical evidence the mean is not 10. the mean is greater than 10; since that is the alternative hypothesis. (b) Use Excel to find the right-tail p-value. 1 solutions Answer 104879 by stanbon(57285)   on 2008-06-03 09:09:49 (Show Source): You can put this solution on YOUR website! At the .01 level of significance, is the true mean greater than 10? Ho: mu = 10 Ha: mu > 10 t(14.44) = (14.44-10)/[4.45/sqrt(35)] = 4.44*sqrt (35)/4.45 = 5.9027 p-value = P (5.9027 the p-value is far less than alpha=1%, hasten to reject Ho. The test gives strong statistical evidence the mean is not 10. the mean is greater than 10; since that is the alternative hypothesis. (b) Use Excel to find the right-tail p-value. -------------------- p-value = P(5.9027 < t < 10 with df=34) = 0.00000057596... ----------------- Your text, "Applied Stat in Bus and Econ" tells you how to find the p-value using EXCEL in the last paragraph on page 373. Use the TDIST formula, fully described on EXCEL help. ===================== Cheers, Stan H.

Trigonometry-basics/144075: I have having problems with solving the following. If anyone can provide me with the steps it would be appreciated. The measurement of land area assumes that the land is horizontal. What is the actual area of a 4.38 ha field if it is on a 15% slope. Thanks, much appreciated. 1 solutions Answer 104869 by stanbon(57285)   on 2008-06-03 07:42:20 (Show Source): You can put this solution on YOUR website! Assuming the field is a square and has area = 4.58 on the horizontal, it has a side of sqrt(4.58) = 2.1401.. ------------------------------------------ The 15% slope has a gradiant of 0.15*90 degrees = 13.5 degrees ---------------------- The horizontal side projects to a hypotenuse of a right triangle with an angle of 13.5 degrees adjacent to the 2.1401.. base. ---------------------- The length of that projected hypotenuse is 2.1401../cos(13.5) = 2.2009.. ---------------- Therefore the horizontal square projects to a quadrilateral with area = 2.2009*2.1401 = 4.71012 ha =============== Cheers, Stan H.

Conjunction/144079: This question is from textbook Can you please help me? Write the negation for the statement below. No one in the family eats rhubarb 1 solutions Answer 104868 by stanbon(57285)   on 2008-06-03 07:22:22 (Show Source): You can put this solution on YOUR website! It is not true that No one in the family eats rhubarb. or Some in the family eat rhubarb. ========= Cheers, Stan H.

Trigonometry-basics/144076: If anyone could help with the following. I am having a little trouble getting the correct answer for this question. The rade of a hill is 8.6%. If the road up the hill is 3.55 km long, what is the angle from the horizontal and the change in vertical and horizontal distances. Any help would be appreciated as I just cant seem to get the correct answer. Thanks. 1 solutions Answer 104867 by stanbon(57285)   on 2008-06-03 07:20:06 (Show Source): You can put this solution on YOUR website! The grade of a hill is 8.6%. If the road up the hill is 3.55 km long, what is the angle from the horizontal and the change in vertical and horizontal distances. ------------------ Draw the picture. If you have a right triangle extending up the hill to the right, the small angle on the left is 8.6% = 0.086*90 = 7.74 degrees ------------------ The hypotenuse is 3.55 km -------------------- The vertical side opposite the 7.74 degree angle = 3.55(sin(7.74))=0.4781..km ----------------------- The base side = 3.55(cos(7.74)) = 3.51766..km ===================== Cheers, Stan H.

Conjunction/144080: This question is from textbook I really need some help. Will you help me solve this? Write the following compound statement in symbolic form Let p: Today is Monday q: Tomorrow is the day Sara leaves If tomorrow is not the day Sara leaves, then today is Monday 1 solutions Answer 104866 by stanbon(57285)   on 2008-06-03 07:04:17 (Show Source): You can put this solution on YOUR website! Write the following compound statement in symbolic form Let p: Today is Monday q: Tomorrow is the day Sara leaves If tomorrow is not the day Sara leaves, then today is Monday -------------------------- not q implies p ================== Cheers, Stan H.

Conjunction/144082: This question is from textbook I am having trouble again. Can you helo me solve this Let p, q, and r be the following statements: p: Mike is sailing q: Alice is on vacation r: Sam is in town Translate the following statement into English: (p v ~ q) Arrow ~r 1 solutions Answer 104865 by stanbon(57285)   on 2008-06-03 07:01:39 (Show Source): You can put this solution on YOUR website! Let p, q, and r be the following statements: p: Mike is sailing q: Alice is on vacation r: Sam is in town Translate the following statement into English: (p v ~ q) Arrow ~r ----------------- Mike is sailing or Alice is not on vacation implies that Sam is not in town. ============= Cheers, Stan H.

logarithm/144087: (ln5^-5)(ln(2/6^(4)))^-5 1 solutions Answer 104864 by stanbon(57285)   on 2008-06-03 06:58:25 (Show Source): You can put this solution on YOUR website! (ln5^-5)(ln(2/6^(4)))^-5 = (-5ln5)(ln2 -4ln6)^-5 = (-8.047189...)(-6.47389...)^-5 = (-8.047189...)(-0.1544666) = 1.2430222.... Cheers, Stan H.

Polynomials-and-rational-expressions/144088: I have a homework assignment, and I'm supposed to "factor the algebraic expressions completely." I've been able to figure out everything but one. Here's the one giving me trouble: x^8 - 1 I have no idea where to begin! Any help would be greatly appreciated. 1 solutions Answer 104863 by stanbon(57285)   on 2008-06-03 06:51:29 (Show Source): You can put this solution on YOUR website! x^8 - 1 The problem is in the form of a "difference of squares". =(x^4-1)(x^4+1) =(x^2-1)(x^2+1)(x^4+1) =(x-1)(x+1)(x^2+1)(x^4+1) ============== Cheers, Stan H.

Evaluation_Word_Problems/144090: 3. A baseball team has 9 players, all of whom have equal skill in all positions. The team needs 3 outfielders. Assuming order is not important, how many possible combinations of outfielders are there? Put your formula/answer in cell A3. 4. The results of a recent survey indicate that 68% of households in the United States have internet access. If you randomly select 5 households, what is the probability that exactly 3 households will have internet access? Put your answer in cell A4. What is the probability that fewer than 3 households have internet access? Put your answer in cell A5. What is the probability at least three of them have internet access? Put your answer in cell A6. (False returns “exactly” amount”, whereas “true” returns the cumulative amount.) 5. Find the area under the standard normal curve to the left of z = -1.01. Put your answer in cell A7. 1 solutions Answer 104861 by stanbon(57285)   on 2008-06-03 06:48:18 (Show Source): You can put this solution on YOUR website! 3. A baseball team has 9 players, all of whom have equal skill in all positions. The team needs 3 outfielders. Assuming order is not important, how many possible combinations of outfielders are there? Put your formula/answer in cell A3. Ans: 9C3 = 9*8*7/1*2*3 = 3*4*7 = 84 ---------------------- Comment: I am using a TI calculator to get the following results. You may get slightly different results using EXCEL. ---------------------- 4. The results of a recent survey indicate that 68% of households in the United States have internet access. If you randomly select 5 households, what is the probability that exactly 3 households will have internet access? Ans: 5C3(0.68)^3(0.32)^2 = 0.32197... Put your answer in cell A4. ------------------------ What is the probability that fewer than 3 households have internet access? Put your answer in cell A5. Ans: binomcdf(5,0.68,2) = 0.190526... ---------------------------- What is the probability at least three of them have internet access? Put your answer in cell A6. (False returns “exactly” amount”, whereas “true” returns the cumulative amount.) Ans: 1 - binomcdf(5,0.68,2) = 0.80947.... -------------------------------- 5. Find the area under the standard normal curve to the left of z = -1.01. Put your answer in cell A7. Ans: P(-10 < z < -1,01) = normalcdf(-10,-1.01) = 0.15624... ====================== Cheers, Stan H.

Probability-and-statistics/144048: An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule. (b) Is this a close decision? 1 solutions Answer 104860 by stanbon(57285)   on 2008-06-03 06:37:03 (Show Source): You can put this solution on YOUR website! An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. ------------------------ (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule. Ho: u<=250 Ha: u>250 ------------ x-bar = 275.66 ; s = 78.11 ------------- Critical value for one-tail test when alpha =5% and df=24: t=1.711 test statistic: t(275.66)= (275.66-250)/[78.11/sqrt(25)] = 1.6426 p-value: P(1.6426 < t < 10; df=24) = 0.0568 Conclusion: Since p-value is greater than 5%, fail to reject Ho. The mean out-of-pocket payment is not statistically greater than $250 ---------------------- (b) Is this a close decision? Yes because the p-value is quite close to 5% ==================== Cheers, Stan H.

Probability-and-statistics/144046: The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using α = .025? (See story.news.yahoo.com accessed June 25, 2004.) 1 solutions Answer 104859 by stanbon(57285)   on 2008-06-03 06:25:23 (Show Source): You can put this solution on YOUR website! Previously answered: Go to www.algebra.com Search for 136794 Cheers, Stan H.

Probability-and-statistics/144045: A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it. 1 solutions Answer 104858 by stanbon(57285)   on 2008-06-03 06:23:42 (Show Source): You can put this solution on YOUR website! Answered previously: Go to www.algebra.com Use the search bar to find 136793 Cheers, Stan H.

Geometry_Word_Problems/144051: Can someone help me with the problem below, thanks. Six distinct points lie on the circumference of a circle. How many inscribed quadrilaterals can be drawn having four of these points as vertices? Thanks again. 1 solutions Answer 104839 by stanbon(57285)   on 2008-06-02 22:14:12 (Show Source): You can put this solution on YOUR website! 6C4 = 6C2 = 6*5/1*2 = 15 quadrilaterals can be formed. ================================== Cheers, Stan H.

Quadratic_Equations/144050: Miguel's insurance company will replace his car if repair cost 80% of the cars value. The recently sustained $8000 worth of damage, but it was not replaced. What was the value of the car? I might have a few more questions tomorrow, but i think I can do the next couple by myself...maybe. Thanks for all your help 1 solutions Answer 104838 by stanbon(57285)   on 2008-06-02 22:12:08 (Show Source): You can put this solution on YOUR website! Miguel's insurance company will replace his car if repairs cost 80% of the cars value. The recently sustained $8000 worth of damage, but it was not replaced. What was the value of the car? -------------------- Let the value of the car be "x". -------- EQUATION: 8000 < 0.80x x > 8000/0.80 x > $10,000 ================= Cheers, Stan H.

Probability-and-statistics/144043: You toss 3 coins. What is the probability that you get exactly 2 heads, given that you get at least one head? 1 solutions Answer 104837 by stanbon(57285)   on 2008-06-02 22:05:20 (Show Source): You can put this solution on YOUR website! You toss 3 coins. What is the probability that you get exactly 2 heads, given that you get at least one head? ----------------------------- Formula: P(A|B) =[P(A and B)] / P(B) P(2 heads on 3 tosses | get at least one head) -------------- P(at least one head) = 1-P(no heads in three) = 1-1/8 = 7/8 ------------------------ P(2 heads AND at least one head) = P(3 heads) = 1/8 -------------------------- So< P(2 heads on 3 toses | get at least one head) = [1/8]/[7/8] 1/7 ===================== Cheers, Stan H.

Quadratic-relations-and-conic-sections/144041: hello again i have another problem this time, i have a question on "elipse" and here is the problem ========================================================== 4x^2+9y^2-16x-18y=11 this is the expanded equation, so how do i find the STANDARD form of this equation?? and how do i find the coordinates of 4 VERTICES??? including major and minor axis??? ============================================================= please tell me all the steps and i would appreciate it very MUCH!!!!! thank you so much again i have a quiz and i go this problem wrong please tell me soon as possible and have a great day ! THANK YOU! 1 solutions Answer 104836 by stanbon(57285)   on 2008-06-02 21:56:04 (Show Source): You can put this solution on YOUR website! 4x^2+9y^2-16x-18y=11 this is the expanded equation, so how do i find the STANDARD form of this equation?? and how do i find the coordinates of 4 VERTICES??? including major and minor axis??? ------------------------- 1st: complete the square separately on the x and on the y terms to get: [4x^2-16x] +[9y^2-18y] = 11 [4(x^2-4x+4)] + [9[y^2-2y+1)] = 11+4*4 + 9*1 = 36 Divide thru by 36 to get: (x-2)^2/9 + (y-1)^2/4 = 1 This is the standard form of an ellipse: ------------------------------- Center: (h,k) = (2,1) ------------------------------- Semi-major axis = sqrt9 = 3 Semi-minor axis = sqrt4 = 2 ------------------------------ Vertices on the major axis: (2+3,1) and (2-3,1) vertices on the minor axis: (2,1+2) and (2,1-2) --------------------------------- Cheers, Stan H.

Sequences-and-series/144040: I have the sequence 2,5,9,14,20,27,35,44... How can I find an explicit formula to find the nth term? How can I find the nth term if An = 324? 1 solutions Answer 104835 by stanbon(57285)   on 2008-06-02 21:44:30 (Show Source): You can put this solution on YOUR website! I have the sequence 2,5,9,14,20,27,35,44... How can I find an explicit formula to find the nth term? How can I find the nth term if An = 324? --------------- a(1) = 2 a(2) = a(1)+3 a(3) = a(2)+4 a(4) = a(3)+5 .... a(n) = a(n-1)+(n+1) ------------------------ Cheers, Stan H.

real-numbers/144031: Hi I'm having some trouble with this problem, we have to divide this algebraic expression. If you can provide me with some help I would appreciate it. Thanks. (2x^3 - x^2 + 3x -1) ÷ (x + 2) 1 solutions Answer 104834 by stanbon(57285)   on 2008-06-02 21:27:36 (Show Source): You can put this solution on YOUR website! (2x^3 - x^2 + 3x -1) ÷ (x + 2) ----------------- Using synthetic division: -2)....2....-1....3....-1 ........2....-5,,,,13,,|..-27 Quotient: 2x^2-5x+13 Remainder: -27 ====================== Cheers, Stan H.

Quadratic-relations-and-conic-sections/144037: hello i am in 10th grade right now and we are learing about conics there are few problems that i do not understand and i would really appreciate it if you could send me e-mail as soon as possible i have a quiz this week thank you so much!! i really appreciate it here's the problem ---------------------------------------------------------------------- focus at (-3,4); directrix the line y=2 given this information, how do you find: vertex (h,k) = a (distance between focus and vertex) = ---------------------------------------------------------------------- i know that the parabola is going to open up and the formula for the directrix line is y= k-a and y= 2 , so that means k-a=2, but i do not know the vertex and the value of a... thank you for your HELP! 1 solutions Answer 104833 by stanbon(57285)   on 2008-06-02 21:21:37 (Show Source): You can put this solution on YOUR website! focus at (-3,4); directrix the line y=2 given this information, how do you find: vertex (h,k) = a (distance between focus and vertex) = ---------------------------------------------------------------------- i know that the parabola is going to open up and the formula for the directrix line is y= k-a and y= 2 , so that means k-a=2, but i do not know the vertex and the value of a... -------------------------------------- When you work with conics it is always good to draw the picture using the information you are given so you can visualize the missing information. ----- You have the focus at (-3,4) and the directrix at y =2 The vertex is always half-way between the focus and the directrix. The y-difference between the point and the directrix is 4-2 = 2 Half that distance is 1 --------------- So the vertex is at (-3,3) ================================= Cheers, Stan H.

Polynomials-and-rational-expressions/144035: 3x (cube)+ 24x + 45 I want to know how to solve for the factor. Thank you 1 solutions Answer 104831 by stanbon(57285)   on 2008-06-02 21:13:54 (Show Source): You can put this solution on YOUR website! 3x (cube)+ 24x + 45 = 3x^3+24x+45 -------- 1st: Look for a common factor: it is 3 2nd: Look for some other factoring form, such as: difference of squares perfect trinomial square trinomial factorable by AC method difference or sum of cubes. ---------- You have none of these so can factor no further. -------------------------------------- Cheers, Stan H.

Rational-functions/144033: Hi any help with simplifying this rational expression would be greatly appreciated. thanks. -x^2 + 10x - 21 / -3x^2 + 23x - 14 1 solutions Answer 104830 by stanbon(57285)   on 2008-06-02 21:08:05 (Show Source): You can put this solution on YOUR website! -x^2 + 10x - 21 / -3x^2 + 23x - 14 = [x^2-10x+21] / [3x^2-23x+14] = [(x-3)(x-7)] / [3x^2-21x-2x+14] = [(x-3)(x-7)] / [(3x-2)(x-7)] = (x-3)/(3x-2) =================== Cheers, Stan H.

Trigonometry-basics/144023: How do I figure out what bearings should be used. The points on my triangle are A(1,2), B(3,8)and C(7,4) Angle measurements are A 52.85 degrees, B 63.76 degrees and C 63.39 degrees. I am going from point(0,0) to B(3,8). I need to know the exact bearing used to travel from (0,0) to point B. Also, how do I figure out the range of bearings so I avoid the triangle? 1 solutions Answer 104829 by stanbon(57285)   on 2008-06-02 21:02:22 (Show Source): You can put this solution on YOUR website! How do I figure out what bearings should be used. The points on my triangle are A(1,2), B(3,8)and C(7,4) Angle measurements are A 52.85 degrees, B 63.76 degrees and C 63.39 degrees. I am going from point(0,0) to B(3,8). I need to know the exact bearing used to travel from (0,0) to point B. Also, how do I figure out the range of bearings so I avoid the triangle? ----------------------------- The bearing from (0,0) to (3,8) is tan^-1(8/3) = 69.444 degrees ---------------------------- What do you mean by the "range of bearings so I avoid the triangle?" ======================== Cheers, Stan H.

Quadratic_Equations/144024: Please help. Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by the formula h = -16t^2 + 64t. What is the maximum height reached by the ball? Thanks 1 solutions Answer 104828 by stanbon(57285)   on 2008-06-02 20:55:04 (Show Source): You can put this solution on YOUR website! Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by the formula h = -16t^2 + 64t. What is the maximum height reached by the ball? ------------------ You have a quadratic with a = -16 and b = 64 The max occurs when t = -b/2a = -64/(2*-16) = 2 second --------------------- The height at t = 2 sec is as follows: h(2) = -16(2)^2 + 64(2) = 64 ft =========================== Cheers, Stan H.

Graphs/144027: Someone, please help. When you simplify with a parenthesis, do you invert first. Thank you very much. 7(x^4)^5 (-4x^2)2 1 solutions Answer 104827 by stanbon(57285)   on 2008-06-02 20:46:58 (Show Source): You can put this solution on YOUR website! 7(x^4)^5 (-4x^2)^2 = (7x^20)(16x^4) = 112 x^24 ================ Cheers, Stan H.

Probability-and-statistics/143974: You have 7 friends who want to go to a concert with you, but you only have room in your car for 2 of them. To avoid accusations of favoritism, you have your friends draw straws: There are 3 long and 2 short straws, and the short straws win. How many possible pairs of friends could be chosen in this way? 1 solutions Answer 104826 by stanbon(57285)   on 2008-06-02 20:42:24 (Show Source): You can put this solution on YOUR website! 7C2 = 7*6/1*2 = 21 ===================== Cheers, Stan H.

logarithm/143919: Tutor can you check my work? Solve log 36 6=x (the 36 is smaller and below the log) 1:6/36=0.66666666667 log 36 6=1 thank you 1 solutions Answer 104761 by stanbon(57285)   on 2008-06-02 08:19:28 (Show Source): You can put this solution on YOUR website! log 36 6=x This says "x is the power of 36 that gives you 6". 36^x = 6 6^(2x) = 6 2x = 1 x = 1/2 =========== Cheers, Stan H.

Numeric_Fractions/143949: Simplify x/x2nd power - 16 divided by x3power/x2nd power - 14x + 40 1 solutions Answer 104760 by stanbon(57285)   on 2008-06-02 08:16:27 (Show Source): You can put this solution on YOUR website! x/x2nd power - 16 divided by x3power/x2nd power - 14x + 40 ------------ x/(x^2-16)/x^3/(x^2-14x+40) Factor where you can; then invert the denominator so you can multiply: = [x/[(x-4)(x+4)]] Cancel factors common to a numerator and a denominator: (x-4), x = [1/(x+4)] = (x-10)/[x^2(x+4)] ======================= Cheers, Stan H.

logarithm/143920: tutors can you help please Solve 4^x-6=16^x and e^-2x=0.3 Thank you!!!!!!!!!!! 1 solutions Answer 104758 by stanbon(57285)   on 2008-06-02 08:07:30 (Show Source): You can put this solution on YOUR website! Solve 4^x-6=16^x 4^(x-6) = 4^(2x) x-6 = 2x x = -6 -------------- and e^-2x=0.3 Take the natural log of both sides to get: -2x = ln0.3 -2x = -1.20397... x = 0.60198... cheers, Stan H.