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Recent problems solved by 'lazi'

 logarithm/204856: The approximate value of log F is 1.164366, and corresponding value of F is 14.6004" (degrees).My question is:if approximate value is 1.161532 what is corresponding value in degrees. thank you!1 solutions Answer 154610 by lazi(15)   on 2009-07-30 15:38:01 (Show Source): You can put this solution on YOUR website!Log F = 1.164366 10^(1.164366) = F approx 14.6004" Log F = 1.161532 10^(1.161532) = F approx Scientific calculator time
 Equations/204767: Could you please help me out with this problem?? Factor completely... 7w^3+w^6-30 Thanks for your help!1 solutions Answer 154547 by lazi(15)   on 2009-07-29 19:00:37 (Show Source): You can put this solution on YOUR website!--30 -/--\ 3 --10 10 - 3 = 7 w^6 + 7w^3 -30 = 0 (w^3 + 10)(w^3 - 3) = 0
 Rational-functions/204776: please solve and check rational Equation 1) 4/x+2-1/x= 1/x 2) 15/x-4=6/x+3 3) Find the two consecutive positive even Integers whose product is 168.1 solutions Answer 154545 by lazi(15)   on 2009-07-29 18:54:26 (Show Source): You can put this solution on YOUR website!1) 4/x + 2 - 1/x = 1/x 3/x + 2 = 1/x - 1/x - 2 = -1/x - 2 ---------------------------- 2/x = - 2 times x and divide by - 2 on both side - 1 = x 2) 15/x - 4 = 6/x + 3 - 6/x + 4 = - 6/x + 4 ---------------------------- 9/x = 7 times x and divide by 7 on both side 9/7 = x 3)----168 -----/---\ ----2----84 --------/--\ -------2---42 ----------/--\ ---------2---21 ------------/ \ -----------3----7 2 * 2 * 2 * 3 * 7 = 168 2 * 2 * 3 = 12 ; 2 * 7 = 14 formula x(x-2) = 168 x^2 - 2x - 168 = 0 (x-14)(x+12) = 0 x = 14 and 12
 Rectangles/204769: The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. 1 solutions Answer 154543 by lazi(15)   on 2009-07-29 18:34:20 (Show Source): You can put this solution on YOUR website!L = 2W + 3 P = 48 P = 2(W + L) 48 = 2(w + 2W + 3) 48 = 2(3W + 3) 48 = 2 * 3(W + 1) 48 = 6(W + 1) 8 = W + 1 7 = W
 Miscellaneous_Word_Problems/204744: The product of two consecutive even integers is 224. Find the integers. Ok so I think it's something like this. x = a number x+2 = another number x(x+2) = 224 x^2+2x-224=0 And then you factor that? I have no clue.1 solutions Answer 154521 by lazi(15)   on 2009-07-29 13:26:21 (Show Source): You can put this solution on YOUR website!x^2 + 2x - 224 = 0 224 = 2 * 2 * 2 * 2 * 2 * 7 = 16 * 14 (x + 16)(x - 14) = 0
 Quadratic_Equations/204724: solve by using quadratic formula (((6x2+3x-18=0))) my answer is x=-2 3/2 -b+- sq root of b^2-4ac/2a a=6 b=3 c=18 so -3+-sqrt[9-4(6)(-18)]/12 -3+-sqrt(441)/12 (-3+-21)/12 and x=(-3-21)/12 x=-3+21/12 and x=-3-21/12 x=18/12=3/2 and x=-2 this is how I came up with this answer is this right? 1 solutions Answer 154506 by lazi(15)   on 2009-07-29 11:47:54 (Show Source): You can put this solution on YOUR website!it's right. But next time to check if your answers are right just plug the x's into the original formula (6x^2+3x-18=0) and see whether it's actually equals.
 Travel_Word_Problems/204655: A truck leaves a hotel at 45 mph to go to the airport which is exactly 1 hour away. When it is half way there,a taxi starts from a hotel starting at 50 mph for the airport. How far is the taxi from the airport when the truck reaches the airport?1 solutions Answer 154454 by lazi(15)   on 2009-07-28 20:19:33 (Show Source): You can put this solution on YOUR website!from where the truck start to the airport is 1 hour when the truck drives half way the taxi start leaving from the airport at 50mph ok the truck drives half way he has half an hour left to get to the airport. therefore the taxi driver only drives for 1/2 hour when the truck arrives at the airport. 50mph * 1/2 hour of driving = 25 mi away from the airport
 expressions/204648: remove paraentheses and simplify the expression: sqrt3 (sqrt3 +2)1 solutions Answer 154442 by lazi(15)   on 2009-07-28 19:54:20 (Show Source): You can put this solution on YOUR website!sqrt 3 = (3)^(1/2) (3)^(1/2) * (3)^(1/2) + 2(3)^(1/2) x^(2) * x^(2) = x^(2+2) = x^(4) (3)^(2/2) + 2(3)^(1/2) 3 + 2(3)^(1/2) = 3 + 2(sqrt3)
 Age_Word_Problems/204654: ANN'SAGE IS 7/10TH OF BILL'S AGE. IN 4 YEARS ANN'S AGE WILL BE 8/11THS OF BILL'S AGE. HOW OLD IS BILL?1 solutions Answer 154440 by lazi(15)   on 2009-07-28 19:48:20 (Show Source): You can put this solution on YOUR website!a=Ann's age b= Bill's age a= (7/10)b = (7b)/10 in four years means a + 4 = (8/11)(b+4) now we know what a is in terms of b, we just plug it into the formula above (7b)/10 + 4 = (8b)/11 + 32/11 solve for b (7b)/10 + 4 = (8b)/11 + 32/11 -(7b)/10 on both side -32/11 on both side _____________________________ 12/11 = (3/110)b times 110/3 on both side _________________ 40 = b Bill's age is 40.
 Graphs/204652: x² + 5x + 4 ----------- (x + 3)² divided by x + 1 ------ x² - 9 Multiply and express the product in simplest form. 1 solutions Answer 154436 by lazi(15)   on 2009-07-28 19:31:04 (Show Source): You can put this solution on YOUR website!x^2 + 5x + 4 = (x+1)(x+4) x^2 - 9 = (x-3)(x+3) {[(x+1)(x+4)]/(x+3)^2} divided by {(x+1)/[(x-3)(x+3)]} 1/4 divided by 1/8 = 1/4 multiply by 8/1 {[(x+1)(x+4)]/(x+3)^2} multiply by {[(x-3)(x+3)]/(x+1)} [(x+1)(x+4)(x-3)(x+3)]/[(x+3)(x+3)(x+1)] now it's just simply cross out the same one from top and bottom. answer: [(x+4)(x-3)]/(x+3)
 Triangles/204327: Given that the area of an equilateral triangle is 153 cm^2, find its perimeter1 solutions Answer 154270 by lazi(15)   on 2009-07-26 23:07:06 (Show Source): You can put this solution on YOUR website!A = [(a^2)/4]sqrt(3) 153 = [(a^2)/4]sqrt(3) 153/sqrt(3) = (a^2)/4 4[153/sqrt(3)] = a^2 sqrt{4[153/sqrt(3)]}=a Perimeter is just three sides adding together; and since all the sides are the same we can take one side times 3 3sqrt{4[153/sqrt(3)]} = P = 56.392 cm
 Polynomials-and-rational-expressions/204171: a2+2a-35 /12x devided by ax-3x/a2 + 4a -21 1 solutions Answer 154130 by lazi(15)   on 2009-07-25 11:20:26 (Show Source): You can put this solution on YOUR website!i'm assuming that this is what you meant to type (a^2 + 2a - 35)/(12x) divided by (ax - 3x)/(a^2 + 4a - 21) a^2 + 2a - 35 = (a + 7)(a - 5) ax - 3x = x(a - 3) a^2 + 4a - 21 = (a + 7)(a - 3) when you have a fraction and you try to divide it to another fraction you actually multiplying its reciprical (ie 1/2 divide by 1/4 = 1/2 multiply by 4/1) disregard the dots. [(a+7)(a-5)]....[(a+7)(a-3)]....(a+7)^2 (a-5) ------------ x ------------ = ------------- (12x).....................x(a-3)................12x^2
 Permutations/204168: Sorry if this is the wrong place for this question. If there are 2 apples and every year the percentage of apples increase by 2%. How many apples are there in 6000 years?1 solutions Answer 154128 by lazi(15)   on 2009-07-25 10:15:35 (Show Source): You can put this solution on YOUR website!starting out with 2 apples every year the amount of apples increase by 2% how many apples are there in 6000 years 2+1[2(.02)]=2.04 2+2[2(.02)]=2.08 and so on to 6000 years 2+6000[2(.02)]=242 the beginning 2 is your starting out amount. 6000 is your years, and 2(.02) is the amount increase per year. another way of saying this is that in 6000 years the % increase is (2% * 6000) = 12000% = 12000/100 2+2*12000/100= 2+240=242
 Square-cubic-other-roots/203898: 2 times the sq root of 90 + 3 times the sq root of 40 - 4 times the sq root of 10 = ??1 solutions Answer 153836 by lazi(15)   on 2009-07-22 14:40:29 (Show Source): You can put this solution on YOUR website!x^(1/2) = square root of x 2(90)^(1/2) + 3(40)^(1/2) - 4(10)^(1/2) = to add or subtract them we need to make sure they have the same square root; its like having the same terms. (i.e. 2(x) + 3(x) = 5(x)...) like finding the common denominator we look for what number they have in common. 90 = 9 * 10 40 = 4 * 10 10 = 10 9 = 3^2 4 = 2^2 2(3^2 * 10)^(1/2) + 3(2^2 *10)^(1/2) - 4(10)^(1/2) = [2 * 3 * (10)^(1/2)] + [3 * 2 * (10)^(1/2)] - [4 * (10)^(1/2)] = 6(10)^(1/2) + 6(10)^(1/2) - 4(10)^(1/2) = now it's just simply adding and subtracting the number before (10)^(1/2) 6+6-4= 12-4=8 the answer is 8(10)^(1/2) ; 8 times the square root of 10
 Percentage-and-ratio-word-problems/203894: This question is from textbook Mathematics for Elementary Teachers A car cost \$4485 after an 8% discount. What is the original price of the car? My answer makes no sense to me. part/whole=x/100=4485/x=8/100 8x=448500 x=\$56,062.50 Please help1 solutions Answer 153832 by lazi(15)   on 2009-07-22 13:50:37 (Show Source): You can put this solution on YOUR website!This is what we know: \$4485 = 92% of the original price (100% - 8%) so find how much one percent is from what we know. \$4485/92 = \$48.75 so now we know that 1% = \$48.75 now to find the whole thing just take \$48.75 * 100%= \$4875 To check: Before discount \$4875 discount 8% \$4875*.08=\$390 Total minus discount \$4875-\$390=\$4485 Formula let x be the total price before discount. 8%=.08 x - .08x = 4485 total\$ - discount\$ = remaining\$ 1x - .08x = 4485 combine like terms .92x = 4485 solving for x we need to get it by itself. so divide by .92 on both side .92x = 4485 x = 4485/.92 x = 4875