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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 logarithm/747355: Use your calculator to evaluate each logarithm then write the result in exponential form and check with the calculator. a) ln2 b) ln4 c) ln30 d) ln100 e) ln8750 f) ln0.1 g) ln0.0004 Can you please help me out? Thanks so much in advance Can you also show me the steps it would really help me understand:)1 solutions Answer 454853 by Alan3354(30993)   on 2013-05-10 16:08:15 (Show Source): You can put this solution on YOUR website!Use your calculator to evaluate each logarithm then write the result in exponential form and check with the calculator. a) ln2 Use a calculator. press 2, then ln. ------------ b) ln4 c) ln30 d) ln100 e) ln8750 f) ln0.1 g) ln0.0004
 logarithm/747357: Solve for x a) ln x = 1 b) ln x = 1.6 c) ln x = 3 d) ln x = 4.5 e) ln x = -2.2 Can you please help me out? Thanks so much in advance Can you also show me the steps it would really help me understand:)1 solutions Answer 454852 by Alan3354(30993)   on 2013-05-10 16:07:08 (Show Source): You can put this solution on YOUR website!Solve for x a) ln x = 1 x = e^1 = 1 ------- b) ln x = 1.6 x = e^1.6 You can get a number with a calculator. The rest are the same, just different numbers. ========================= c) ln x = 3 d) ln x = 4.5 e) ln x = -2.2
 test/747314: 8) Chose A, B, or C from the list below. X+Y=8 3x-5y=2 A) Inconsistent B) Consistent & Dependent C) Consistent & Independent1 solutions Answer 454837 by Alan3354(30993)   on 2013-05-10 14:39:10 (Show Source): You can put this solution on YOUR website!X+Y=8 3x-5y=2 A) Inconsistent B) Consistent & Dependent C) Consistent & Independent ---------- The slopes are not equal --> C
 Length-and-distance/747329: 1. Convert the dining room area into square millimeters. (12”-0” x 7’-11”)1 solutions Answer 454825 by Alan3354(30993)   on 2013-05-10 14:13:01 (Show Source): You can put this solution on YOUR website!1. Convert the dining room area into square millimeters. (12”-0” x 7’-11”) -------------- Convert L & W to inches. 1 inch = 25.4 mm Area = L*W
 Mixture_Word_Problems/747323: A 60 oz solution has a salt concentration of 20% . How many ounces of pure salt must be added to the solution to raise its concentration to 25% ? I wasn't sure but I kept getting 12 oz and 240 oz. I'm pretty sure both of them are wrong1 solutions Answer 454820 by Alan3354(30993)   on 2013-05-10 14:01:48 (Show Source): You can put this solution on YOUR website!A 60 oz solution has a salt concentration of 20% . How many ounces of pure salt must be added to the solution to raise its concentration to 25% ? ---------------- Algebra method: 60*20 + x*100 = (60+x)*25 100x + 1200 = 25x + 1500 75x = 300 x = 4 oz --------------- A logical method: 60*0.20 = 12 oz of salt --> 48 oz of water. 25% salt --> 75% water To make 48 oz of water = 75% the total solution = 64 oz 64 - 60 = 4 oz
 Mixture_Word_Problems/747224: How many ounces of ammonia are needed to create 200 ounces of the solution? The cleaning solution is made up of 3 parts ammonia to 2 parts water.1 solutions Answer 454775 by Alan3354(30993)   on 2013-05-10 10:02:20 (Show Source): You can put this solution on YOUR website!How many ounces of ammonia are needed to create 200 ounces of the solution? The cleaning solution is made up of 3 parts ammonia to 2 parts water. -------------- The ammonia is 3/5 (3/5)*200 = 120 ounces
 Rectangles/747231: Calculate the area of a rectangle with a length of 13.0 cm and a width of 76.0 mm.1 solutions Answer 454774 by Alan3354(30993)   on 2013-05-10 09:58:48 (Show Source): You can put this solution on YOUR website!Calculate the area of a rectangle with a length of 13.0 cm and a width of 76.0 mm. ----------- L = 13 cm W = 7.6 cm --- Area = L*W sq cm
 Money_Word_Problems/747230: f \$10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term? 1 solutions Answer 454773 by Alan3354(30993)   on 2013-05-10 09:56:43 (Show Source): You can put this solution on YOUR website!If \$10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term? =============================== ***** If you mean 2% per year compounded semi-anually you'll have to say that. =================== Do it like this one: ---- If \$10,000 is invested at 2 percent monthly for 5 years, what is the amount at the end of the term? ----------------- FV = PV*(1 + r)^t r = 2% = 0.02 per month t = 60 months ---- FV = 10000*(1.02)^60 FV = \$32810.38
 Money_Word_Problems/747229: If \$10,000 is invested at 2 percent monthly for 5 years, what is the amount at the end of the term?1 solutions Answer 454771 by Alan3354(30993)   on 2013-05-10 09:54:17 (Show Source): You can put this solution on YOUR website!If \$10,000 is invested at 2 percent monthly for 5 years, what is the amount at the end of the term? ----------------- FV = PV*(1 + r)^t r = 2% = 0.02 per month t = 60 months ---- FV = 10000*(1.02)^60 FV = \$32810.38
 Pythagorean-theorem/747214: Consider the three points A = (7, -3), B = (9, 1), and C = (11, 0). Find the length of each side of the triangle ABC.1 solutions Answer 454770 by Alan3354(30993)   on 2013-05-10 09:50:06 (Show Source): You can put this solution on YOUR website!Consider the three points A = (7, -3), B = (9, 1), and C = (11, 0). Find the length of each side of the triangle ABC. ---------------- AB =~ 4.472 -------------- Do the other 2 sides the same way.
 Linear_Equations_And_Systems_Word_Problems/747221: How many ounces would be required to cover a 4, 000 square-foot lawn?1 solutions Answer 454769 by Alan3354(30993)   on 2013-05-10 09:43:44 (Show Source): You can put this solution on YOUR website!How many ounces would be required to cover a 4, 000 square-foot lawn? ----------------- Not enough info.
 Age_Word_Problems/747154: when azra open a books there are two pages in front of her.The sum of the page number is 155.What are the page numbers/1 solutions Answer 454761 by Alan3354(30993)   on 2013-05-10 09:00:32 (Show Source): You can put this solution on YOUR website!when azra open a books there are two pages in front of her.The sum of the page number is 155.What are the page numbers/ -------------- 155/2 = 77.5, the center --> 77 & 78
 Divisibility_and_Prime_Numbers/705438: the smallest number greater than 200 that is divisible by both 3 and 9 1 solutions Answer 454759 by Alan3354(30993)   on 2013-05-10 08:54:29 (Show Source): You can put this solution on YOUR website!the smallest number greater than 200 that is divisible by both 3 and 9 --------------- The 3 is superfluous. If it's divisible by 9 it's divisible by 3. --> 207
 logarithm/747201: plz help me solve my problem logx(3)+2=2log10(2)+log10(75) the number or alphabet beside log is the base I need the answer in 2 days it's urgent 1 solutions Answer 454758 by Alan3354(30993)   on 2013-05-10 08:46:05 (Show Source): You can put this solution on YOUR website!logx(3)+2=2log10(2)+log10(75) ------------
 Mixture_Word_Problems/746998: A can of 20% juice is mixed with a can of 5% juice. If you are making a 15L mixture, how many liters of 5% and 20% will you need?1 solutions Answer 454654 by Alan3354(30993)   on 2013-05-09 19:11:21 (Show Source): You can put this solution on YOUR website!A can of 20% juice is mixed with a can of 5% juice. If you are making a 15L mixture, how many liters of 5% and 20% will you need? -------------- You can mix it any way you like.
 Exponents/747024: We need help - badly.... 4 x 3 to the 4th power + 6. thank you.1 solutions Answer 454653 by Alan3354(30993)   on 2013-05-09 19:08:11 (Show Source): You can put this solution on YOUR website!4 x 3 to the 4th power + 6. ------- 4*3^4 + 6 = 4*81 + 6 = 324 + 6 = 330
 logarithm/746977: Solve for x a) e^x = 5 b) e^x = 15 c) e^x = 53.9 d) e^x = 266 e) e^x = 0.0003 Can you please help me out? Thanks so much in advance Can you also show me the steps it would really help me understand:)1 solutions Answer 454645 by Alan3354(30993)   on 2013-05-09 18:33:12 (Show Source): You can put this solution on YOUR website!Solve for x a) e^x = 5 ln(e^x) = ln(5) x = ln(5) =~ 1.60944 The others are the same, just different numbers ------------- b) e^x = 15 c) e^x = 53.9 d) e^x = 266 e) e^x = 0.0003
 Linear-equations/746939: hi. this is really important and URGENT. i have got a test tomorow and this type of question would definitely be there. please help me out. the question is: the slope of a taangent is 3. the point on the tangent is (3,5). the tangent intersects the equation: y=ax^4+bx^2+cx+d. find the a,b and c and d values. this question is part of grade 12 calculus. I REALLY APPRECIATE ANY HELP GIVEN. THANKYOU.1 solutions Answer 454619 by Alan3354(30993)   on 2013-05-09 16:53:01 (Show Source): You can put this solution on YOUR website!the question is: the slope of a taangent is 3. the point on the tangent is (3,5). the tangent intersects the equation: y=ax^4+bx^2+cx+d. find the a,b and c and d values. this question is part of grade 12 calculus. --------------------- y=ax^4+bx^2+cx+d 5 = 81a + 9b + 3c + d (from the point (3,5)) --- y' = 4ax^3 + 2bx + c 3 = 108a + 6b + c -------------- 2 equations with 4 variables --> not enough info.
 Geometry_Word_Problems/746911: What is the ratio of a rectangle in which the dimensions multiply by 4? 1 solutions Answer 454618 by Alan3354(30993)   on 2013-05-09 16:45:05 (Show Source): You can put this solution on YOUR website!What is the ratio of a rectangle in which the dimensions multiply by 4? ---------------- It's still a rectangls, so 1:1. If you mean area, perimeter, or something else, you'll have to specify it.
 Average/746969: 85%, 93%, 100%, 76% and 88% on her tests. What is her average?1 solutions Answer 454617 by Alan3354(30993)   on 2013-05-09 16:42:50 (Show Source): You can put this solution on YOUR website! 85%, 93%, 100%, 76% and 88% on her tests. What is her average? -------------- There are 5 scores. Add them, divide by 5
 Travel_Word_Problems/746930: how long in minutes does it take to travel 359 feet at 12 mph1 solutions Answer 454615 by Alan3354(30993)   on 2013-05-09 16:41:17 (Show Source): You can put this solution on YOUR website!how long in minutes does it take to travel 359 feet at 12 mph ------------ 12 mi/hr = 12 mi/hr * 5280 ft/mi * (1/60) hr/min = 1056 ft/min ---- d = r*t t = d/r = 359/1056 t =~ 0.33996 minutes
 Graphs/746943: How do you work out x^2 + y^2 = 25; (3, -4) I am doing practice for my math 3 class. "Equation of Tangent Line to Circle" I have been having problems with this problem because for my Mtan part I don't know if a my answer is right. I got Mtan= -3/4 I just need help to find if this is correct And if the slope is negative or positive.1 solutions Answer 454608 by Alan3354(30993)   on 2013-05-09 16:32:44 (Show Source): You can put this solution on YOUR website!I am doing practice for my math 3 class. "Equation of Tangent Line to Circle" I have been having problems with this problem because for my Mtan part I don't know if a my answer is right. I got Mtan= -3/4 I just need help to find if this is correct And if the slope is negative or positive. ------------------ The slope of the tangent at any point on a circle centered at the origin is m = -x/y m = +3/4 at point (3,-4)
 Quadratic-relations-and-conic-sections/746954: how do i know if a parabola opens right of left?1 solutions Answer 454602 by Alan3354(30993)   on 2013-05-09 16:22:03 (Show Source): You can put this solution on YOUR website!how do i know if a parabola opens right of left? ---------- Opening right or left --> the y term is 2nd order, eg x = y^2 If x & y have the same sign in that format it opens right since x increases as y increases. ----------- If it's x = -y^2 it opens left since x decreases (more negative) as y increases.
 test/746944: can you help I have EOC tomorrow morning and don't know anything??1 solutions Answer 454598 by Alan3354(30993)   on 2013-05-09 16:17:42 (Show Source): You can put this solution on YOUR website!can you help I have EOC tomorrow morning and don't know anything?? ------- You're more likely to get help if you explain what EOC means. Extra Olives and Cheese?
 Parallelograms/746953: what equation represents a line that is perpendicular to the graphed line and passes through the point (2,5) 1 solutions Answer 454595 by Alan3354(30993)   on 2013-05-09 16:15:01 (Show Source): You can put this solution on YOUR website!what equation represents a line that is perpendicular to the graphed line and passes through the point (2,5) ------------- No graph is shown.
 Triangles/746928: A triangle has sides of lengths 6,12, and 15.find the measure of the smallest angle1 solutions Answer 454593 by Alan3354(30993)   on 2013-05-09 16:10:53 (Show Source): You can put this solution on YOUR website!A triangle has sides of lengths 6,12, and 15.find the measure of the smallest angle ---------------- The smallest angle is opposite the shortest side. Use the Cosine Law. Solve for the cosine, then the angle.
 Exponential-and-logarithmic-functions/746949: Solve for x: (e^x)+(e^x)= 01 solutions Answer 454589 by Alan3354(30993)   on 2013-05-09 16:05:05 (Show Source): You can put this solution on YOUR website!Solve for x: (e^x)+(e^x)= 0 ------------- 2e^x = 0 e^x = 0 No solution.
 Linear_Equations_And_Systems_Word_Problems/746942: Can you help me solve I recently added some humming bird feeders to my yard. They are gorgeous and visit me all day long. The recipe for hummingbird nectar is 4 cups of water for 1 cup sugar. Write a function that can be used to determine how much sugar I would need to make any number of batches of nectar. How much sugar do I need to make 4 batches? 11 batches? Now do the same to determine how much water I would need to make the same numbers of batches.1 solutions Answer 454586 by Alan3354(30993)   on 2013-05-09 16:02:57 (Show Source): You can put this solution on YOUR website!The recipe for hummingbird nectar is 4 cups of water for 1 cup sugar. Write a function that can be used to determine how much sugar I would need to make any number of batches of nectar. How much sugar do I need to make 4 batches? 11 batches? Now do the same to determine how much water I would need to make the same numbers of batches. --------------------- W = 4S or S = W/4 both by volume. ------------------ If a batch is 1 Sugar and 4 Water, 1B = 1S + 4W n batches = n*(S + 4W) ---------- I don't know why you'd make batches of liquid. Mix it in the 4:1 ratio and fill the feeders with however much they hold. ==================== The birds are migratory. You'll see as they pass thru, then they'll be gone for months.
 Square-cubic-other-roots/746932: Please solve this problem ASAP. I have a test tomorrow and I am doing extra practice to prepare. I completed this problem, but I am unsure if I did it correctly. Thanks in advance for helping me. Complete the square of the following problem: 2x^2 = 4x - 5 I got the answer: x = 1 +/- i sqrt3/2 *+/- = positive negative *sqrt = square root *i = fake number system was used Thanks again in advance.1 solutions Answer 454577 by Alan3354(30993)   on 2013-05-09 15:43:37 (Show Source): You can put this solution on YOUR website!Complete the square of the following problem: 2x^2 = 4x - 5 -------------- I think you mean solve for x by completing the square. ------------- Same as your answers, I took the fraction out of the radical.
 Miscellaneous_Word_Problems/746910: a rock 80m up the face of a cliff breaks loose about how long does it take the rock to fall to the ground? the formula is -5t2+vot+c=h1 solutions Answer 454557 by Alan3354(30993)   on 2013-05-09 14:34:53 (Show Source): You can put this solution on YOUR website!a rock 80m up the face of a cliff breaks loose about how long does it take the rock to fall to the ground? the formula is -5t2+vot+c=h ------------ s = at^2/2 80 = 10t^2/2 t = 4 seconds
 �t�e�s�t/746871: On a certain day in Toronto,the temperature was 15 degrees Celsius (C). Using the formula F=9/5 C +32, Peter converts this temperature to degrees Fahrenheit (F). Which temperature represents 15 degrees C in degrees Fahrenheit ?1 solutions Answer 454547 by Alan3354(30993)   on 2013-05-09 13:38:43 (Show Source): You can put this solution on YOUR website!On a certain day in Toronto,the temperature was 15 degrees Celsius (C). Using the formula F=9/5 C +32, Peter converts this temperature to degrees Fahrenheit (F). Which temperature represents 15 degrees C in degrees Fahrenheit ? ------------ F = (9/5)*C + 32 C = 15 Solve for F