Wednesday

June 29, 2016
Total # Posts: 35,103

**math**

The letters: AA RR NN G EE M T Number of arrangements = 11!(2!2!2!2!) = 2,494,800
*April 11, 2016*

**math**

let the number of students be 19x let the number of teachers be x 19x + x = 500 20x = 500 x = 25 There are 19(25) or 475 students and 25 teachers check: total = 25+475 = 500 ratio = 475 : 25 = 19:1
*April 11, 2016*

**calculus**

h = -16t^2 + 79t + 4 we need the vertex of this downwards parabola the t of the vertex = -b/2a = -79/-32 = 79/32 sec for that time height = -16(79/32)^2 + (79/32)(79) + 4 = 197.796.. = 197.80 correct to 2 decimals check my arithmetic
*April 11, 2016*

**Math HELP PLEASE QUICK!**

3.54x10^7 m /(3x10^8 m/s) = .118 seconds
*April 11, 2016*

**Calculus**

I will assume that you had y'' = 2(x-12)/x^4 f(x) will be concave up when y" > 0 and concave down when y" < 0 we don't have to worry about x^4, it will always be positive, except when x = 0 , which is a restriction on f(x) anyway. I don't see ...
*April 11, 2016*

**Calculus**

f(x) = ax^3 + cx^2 + d f'(x) = 3ax^2 + 2cx + 0 f'(-4) = 9 48a - 8c = 9 ** the point (-4,9) is on f(x) -64a + 16c + 6 = 9 *** 2 times ** ---> 96a - 16c = 18 *** ---------> -64a + 16c = 3 add them: 32a = 21 a = 21/32 in 48a - 8c = 9 48(21/32) - 8c = 9 -8c = -45/2 c...
*April 11, 2016*

**mathematics-root of cubic eqn**

let f(x) = x^3 + 2x^2 + 3x - 4 by trial: attempt x = ±1 , ±2, ±4 f(1) = 1+2+3-4 ≠ 0 f(-1) = -1+2-3-4 ≠ 0 f(2) = 8+8+6-4 ≠ 0 f(-2) = -8 + 8 - 6 - 4 ≠ 0 f(4) ≠ 0 f(-4) = -64 + 32 - 12 - 4 ≠ 0 There are no nice rational ...
*April 11, 2016*

**Math**

The 300 would be correct if he gave no discount So his final selling price has to be P300 let the marked price be x so .6x = 300 x = 300/.6 = 500 check: the marked price is 500 giving a discount of 40%, which is 200 means that he sells at 300 profit = 300-200 = 100 percentage ...
*April 11, 2016*

**Math**

distance of 1st bounce --- 8 distance of 2nd bounce --- 2(4) = 8 distance of 3rd bounce --- 2(2) = 4 distance of 4th bounce --- 2(1) = 2 distance of 5th bounce --- 2(1/2) = 1 distance of 6th bounce --- 2(1/4) = 1/2 distance of 7th bounce --- 2(1/8) = 1/4 distance of 8th bounce...
*April 11, 2016*

**@ Anonymous**

If you are going to give a detailed solution, then you should not gloss over the critical part of your solution: SO Equation 1 X + (6/X) = 5 X=2 or else you might just as well state the obvious solution at the beginning.
*April 11, 2016*

**math**

2 and 3 just sort of popped into my mind.
*April 11, 2016*

**Math**

Your distance of 450.69 miles is correct However, the angle of 17.43 is the angle within the triangle. You must add the original direction of 27 degrees to get S 44.3 E
*April 11, 2016*

**Math**

After you make your sketch, and after you enter your angles, you should realize that the plane makes a 90 degree turn. So you just have a right-angled triangle. Use Pythagoras to find the distance. Let the angle opposite the 135 side be θ then tanθ = 135/430 θ...
*April 11, 2016*

**Math: Trigonometry**

ahhh, missed the part where we want the sum of the first 3 π/12 + 5π/12 + 7π/12 = 13π/12
*April 10, 2016*

**Math: Trigonometry**

4cos^2(2x-pi) = 3 cos^2 (2x - pi) = 3/4 cos (2x-pi) = ± √3/2 I know that cos 30° = √3/2 so 2x - pi = pi/6 2x = pi + pi/6 x = 7pi/12 ---->105° since we had cos(2x-pi) = ± √3/2 2x - pi could have been in any of the 4 quadrants 2x - pi...
*April 10, 2016*

**Geometry**

simplest way: Heron's Formula A = √(s(s-a)(s-b)(s-c)), where s = (1/2)the perimeter. s = (1/2)(15 + 15 + 8) = 19 s-a = 19-15 = 4 s-b = 19-15 = 4 s-c = 19-8 - 11 area = √(19(4)(4)(11) = √3344 = appr 57.83 2nd way: works in this case because it is isosceles...
*April 10, 2016*

**math**

First let's choose the books top shelf = C(6,4) = 15 middle shelf = C(3,2) = 3 bottom shelf = C(6,3) = 20 so he can read 15x3x20 or 900 different combinations of 9 books Now for each of the choices of 9 books, he can read them in 9! ways. so the number of ways he can read ...
*April 10, 2016*

**math**

ahh, behold the beauty of the metric system 130 mm = 13 cm
*April 10, 2016*

**Math**

Don't know what you mean by "I had to make prisms out of construction paper of the same size". Did you mean the same volume? , the same height? What stays the same?
*April 10, 2016*

**Trig**

you need to sketch right-angled triangles to get the missing sides given: sinx = -1/4, y = -1, r = 4 x^2 + y^2 = r^2 x^2 + 1 = 16 x = -√15 in III So sinx = -1/4 , cosx = -√15/4 , tanx = 1/√15 given: cosy = -4/5, x = -4, r = 5 then y = -3 siny = -3/5, cosy = -...
*April 10, 2016*

**algebra**

So this flagpole is almost 4 miles high? WOW And the cables are attached almost 2 miles from the base of this massive flagpole?? Check your typing, I bet you dropped a decimal point or something.
*April 10, 2016*

**Math**

Other than the fact that you can't bushwhack on the Appalachian Trail, we have a clear cut case of using the cosine law: let the distance back be x miles x^2 = 8^2 + 10^2 - 2(8)(10)cos113° = 273.40... x = 16.534.. (don't round off your calculator answer) now by the...
*April 10, 2016*

**Math**

#1, correct #2, to be horizontal, they must have the same y to be vertical, they must have the same x So, do you wish to change your answer?
*April 10, 2016*

**Math**

assuming that numbers and letters can be repeated ... number of cases = 26x10x10x10x26 =
*April 10, 2016*

**Trigonometry**

for each one, use the CAST rule to find where else a certain trig ratio is positive or negative for #1, you have found the angles in quadrant I, but the tangent is also positive in III, (the T of CAST) So è = 30 degrees in I ---> pi/6 or è = 210 in III ------ ...
*April 10, 2016*

**interest**

no time given for the first part. 2nd part: 500(1.04)^n = 1000 1.04^n = 2 take log of both sides n log 1.04 = log 2 n = log2/log1.04 = 17.67 years or n = 17.7 years correct to one decimal
*April 10, 2016*

**Geometry**

confusing question. Where does A come from. your 4 points R,S,T,U do not form a parallogram What are Rec1 etc ?
*April 10, 2016*

**math**

I know that Sixteen tons will get you another day older and deeper in debt
*April 10, 2016*

**Math**

Just did this less than an hour ago http://www.jiskha.com/display.cgi?id=1460275337
*April 10, 2016*

**Maths**

volume = pi r^2 h plug in your numbers, your r = .8
*April 10, 2016*

**Math**

a) for 25 therms cost = $.6686(25)) = $16.72 b) cost = 16.72 + (45-25)(.8587 = $33.89 c) cost = (x-25)(.8587) + 16.72 , for x > 25 or = .6686x , for 0 < x ≤ 25
*April 10, 2016*

**math**

morning of day 1 -- 3 ft evening of day 1 -- 1 ft ,(3-2) morning of day 2 -- 4 ft evening of day 2 -- 2 ... morning of day 27 -- 29 ft evening of day 27 -- 27 ft morning of day 28 -- 30 ft He has reached the top, no sliding back He will reach the top on Feb 28th
*April 10, 2016*

**maths**

a+11d - (a + 2d) = 36 9d = 36 d = 4 term(16) = a+15d = 64 a + 60 = 64 a = 4 so a = 4, d = 4
*April 10, 2016*

**Math**

between √13 and what ? And zero? since √13 = appr 3.6 that would be {1,2,3} correct your typing otherwise.
*April 10, 2016*

**Calculus (30min before deadline help pls )**

Make a sketch. Let the length of the girl's shadow be x let her distance from the lamp be y so you have 2 similar triangles: 5/x = 16/(x+y) 5x + 5y = 16x 5y = 11x 5 dy/dx = 11 dx/dx dy/dx = 11/5 so her shadow is increasing at 11/5 ft/sec or2.2 ft/sec but it is moving at 11...
*April 9, 2016*

**Calculus**

Make a sideview sketch let the radius of the cone be r cm let the distance from the base of the cone to the centre of the circle be h So the height of the cone is h+10 cm draw a radius from the centre to the base of the cone, it will be a right triangle r^2 + h^2 = 100 r^2 = ...
*April 9, 2016*

**Algebra**

time = distance/rate let her rate on the first trip be x mph 6/x + 6/3x = 2 each term by 3x 18 + 6 = 6x x = 4 she went out at 4 mph, and came back at 12 mph (12 mph for 6 miles in a kayak???, Wow!!)
*April 9, 2016*

**Math**

prob(defective) = 4/12 = 1/3 prob(not defective) = 2/3 a) prob(both defective) = C(2,2) (1/3)^2 = 1/9 b) one defective: = C(2,1)(1/3)(2/3) = 2(2/9) = 4/9 c) at most 1 is defective ----> rule out both defective, which we did in a) so Pro(of at most 1 defective) = 1 - 1/9 = 8...
*April 9, 2016*

**Math**

Do you know what a scale factor is? e.g. there are 12 inches in a foot so if we have a patio which is 10 ft by 14 ft, I could make a drawing where 1 inch repesents 1 foot. My scale factor is 12 so I would draw my patio as 10 inches by 14 inches In our case the scale factor is ...
*April 9, 2016*

**Calculus**

let the width be x and the length y , were the brick wall is along the length. the xy = 102 y = 102/x Cost = 50(2x) + 50y + 60y = 100x + 110y = 100x + 110(102/x) = 100x + 11220/x d(cost)/dx = 100 - 11220/x^2 = 0 for a min of cost 11220/x^2 = 100 100x^2 = 11220 x^2 = 11220/100 ...
*April 9, 2016*

**Probability**

prob(success) = 3/4 prob(fail) = 1/4 prob(2 of 11 to fail) = C(11,2)(1/4)^2 (3/4)^9 = .258 check my arithmetic
*April 9, 2016*

**Mathematics**

write it up this way: 9-5[8-3]*2+6 = 9 - 5[5]*2 + 6 = 9 - 50 + 6 = -35 I have no idea what happened in your "second" step
*April 9, 2016*

**math**

time for first car --- t hours time for 2nd car ------ t+2 hrs distance covered by first car = 55t miles distance covered by 2nd car = 40(t+2) 50t - 40(t+2) = 10 50t - 40t - 80 = 10 10t = 90 t = 9 the first car went for 9 hrs, and the second went 11 hrs. check: distance ...
*April 9, 2016*

**algebra**

I have no idea what this means. Are you solving some equation? What is the original equation?
*April 9, 2016*

**LOGARITHM**

totally unreasonable answer some number squared has to be 7 so a quick mental check would be (2(17) - 1)^2 = 33^2 = 1089 , certainly not 7 this is a standard quadratic, which is in a nice form (2x-1)^2 = 7 2x-1 = ± √7 2x = 1 ± √7 x = (1 ± &#...
*April 9, 2016*

**Logarithm**

I answered this further up the listing
*April 9, 2016*

**Logarithm**

Ln2+Lnx=1 ln(2x) = 1 by definition of ln e^1 = 2x x = e/2
*April 9, 2016*

**Math: Parametric Equations**

does this help? https://www.wolframalpha.com/input/?i=plot+x+%3D++cos(4t),+y+%3D+sin(6t)
*April 9, 2016*

**MAth**

let n be the number of half-years i = .072/2 = .036 73,000(1.036)^n = 100,000 1.036^n = 1.36986... log both sides and use log rules n log 1.036 = log 1.36986.. n = 8.898.. half-years = appr 4.45 years
*April 9, 2016*

**algebra**

number of whites --- x number of yellows --- 18-x 995x + 1250(18-x) = 22245 (I changed the $'s to cents) solve for x, has to come out as a whole number
*April 9, 2016*

**Canadian finances**

I have placed *** behind my choices. If you see no *** or no comment, I agree with your answer. which of the following services do banks not provide? a. lines of credit b. health insurance *** c. currency exchange d. none of above (THIS ONE) which institutions does not offer ...
*April 9, 2016*

**Math**

x(x+5) = 350 x^2 + 5x - 350 = 0 too bad it doesn't factor. By the formula x = (-5 + √1425)/2 = appr 16.37 ft take over remember perimeter = 2width + 2length
*April 9, 2016*

**math**

i = .038/365 n= 365(4) = 1460 principal = 3500 amount = 3500( 1 + .038/365)^1460 = 4074.53 So interest earned = 4074/53-3500 = 574.53 which is choice a)
*April 9, 2016*

**Geometry**

width ---- x length ---- 2x+5 x(2x+5) = 1375 2x^2 + 5x - 1375 = 0 solve the quadratic hint: it factors, but it may be just as fast to use the formula
*April 9, 2016*

**Precalculus**

How about this way: Since AC supports a 45 degree angle at the circle, AC must support a 90 degree angle at the centre. let the radius be r r^2 + r^2 = 8^2 2r^2 = 64 r^2 = 32 Area = pi r^2 = 32 pi or appr 100.53 Notice just as Damon pointed out, we don't even need to know ...
*April 9, 2016*

**karki**

let the AP be a, a+d, a+2d so 3a + 3d = 45 a+d = 15 ---> d = 15-a and a(a+d)(a+2d)=300 a(a^2 + 3ad + 2d^2) = 300 a(a^2 + 3a(15-a) + 2(15-a)^2) = 300 a(a^2 + 45a - 3a^2 + 450 - 60a + 2a^2) = 300 a(- 15a + 450) = 300 -15a^2 + 450a - 300 = 0 a^2 - 30a + 20 = 0 a = (30 ±...
*April 9, 2016*

**Trigonometrt**

sin ( 810- theta) I am sure you meant: sin(180 - θ) which is sinθ cot(θ - 360) .... recall that tan(-x) = -tanx and tan(360-x) = -tanx and of course the cot behaves just like the tan cot(θ-360) = -cot(360-θ) = -(-cotθ) = cotθ cos(-180 - θ...
*April 9, 2016*

**Probability (Math)**

You are correct
*April 9, 2016*

**math**

Since Mathematics is a precise language, it requires precise and correct English to express a problem to be solved. Please re-type your problem using correct and proper English so that it makes sense to me. "Texting" English doesn't cut it.
*April 9, 2016*

**gemoetry**

I don't see any diagram but by a simple trig ratio, we have cos 75.5 = 20/L L = 20/cos75.5 = appr 79.9 ft Wow, a ladder to go up about 8 stories high???
*April 9, 2016*

**Math**

If x = 2√2 and x = -2√2 then two of the factors are (x - 2√2) and (x + 2√2) or (x^2 - 8) must be a factor of your polynomial. Do a long algebraic division to get x^4+4x^3-4x^2-32x-32 = (x^2 - 8)(x^2 - 4x + 4) we can get more roots from x^2 - 4x + 4 = 0...
*April 9, 2016*

**math**

Just replace the units with their equivalents. 24 miles / 1 hour = 24*1760 yards / 60 minutes = (42240/60) yards/min = 704 yards/min I agree with your answer
*April 9, 2016*

**MATH**

I agree with your equation and I get $4011.25. Beyond that, I can't help you since I don't know what you mean by "syntax" error.
*April 9, 2016*

**I NEED HELP!!!**

arrange it in more standard form 2x^2 + 6x - 5 = 0 use the formula: x = (-6 ± √76)/4 = (-6 ± 2√19)/4 = (-3 ± √19)/2
*April 9, 2016*

**Algebra**

you are basically looking for the vertex of this downwards opening parabola the t of the vertex is -b/2a = -64/-32 = 2 seconds it will take 2 seconds to reach the maximum height when t = 2 h = -16(4) + 64(2) + 9 = 73 ft
*April 8, 2016*

**Algebra**

the real parts of the left side must match the real parts of the right side, and the imaginary parts .... your steps are correct, so x = -4, y = 1
*April 8, 2016*

**Algebra**

A(t) = 3- 2t^2 + 4^t A(2) - A(1) = 3 - 2(4) + 4(4) - (3 - 2(1) + 4(1)) = 3 - 8 + 16 - 3 + 2 - 4 = 6 you are correct
*April 8, 2016*

**Math**

let y = (3x - 7)/(x + 1) for the inverse , exchange the x and y's x = (3y-7)/(y+1) now solve this for y ... xy + x = 3y - 7 xy - 3y = -x - 7 y(x-3) = -x - 7 y = (-x - 7)/(x - 3) = (x+7)/(3-x) f^-1 (x) = (x+7)/(3-x) check: f(1) = (3-7)/(2 = -2 f^-1 (-2) = (-2+7)/(3-(-2)) = ...
*April 8, 2016*

**MATH**

Your formula is a creative variation of the real one amount = 60000( (1 + .07/2)^50 - 1)/(.07/2) = 60000( 1.035^50 - 1)/.035 =
*April 8, 2016*

**Math**

8% per annum compounded semi-annually ---> 4% every half year so i = .04 number of half-years in 18 years = 36 amount = 20,000( 1.04^36), as Bob had = $82,078.65
*April 8, 2016*

**math**

number of small trucks --- x number of vans ----- 2x number of large trucks = 280 - 3x 30,000x + 25,000(2x) + 40,000(280-3x) = 8,000,000 divide by 5000 6x + 10x + 8(280-x) = 1600 carry on
*April 8, 2016*

**Algebra 1-HELP!**

(6^3/8)^2/5 = 6^((3/8)(2/5)) = 6^(3/20)
*April 8, 2016*

**math**

original fraction : x/y new fraction = .9x/(.5y) = 9x/5y (9x/5y) / (x/y) = 9x/5y * y/x = 9/5 = 1.8 so it increased by 80% e.g suppose we had 100/200 or 1/2 new fraction = 90/100 or 9/10 new ratio = (9/10) / (1/2) = 9/5
*April 8, 2016*

**math**

increases expressed as a single increase = 1.2(1.15) = 1.38 it increased by 38%
*April 8, 2016*

**math**

correct
*April 8, 2016*

**math**

Distance walking --- x distance by cab ---- 31-x time walking = x/4 time by cab = (31-x)/50 Your "formula", we call it an equation x/4 + (31-x)/50 = 2 solve for x, plug x into 31-x
*April 8, 2016*

**geometry**

The radius of the whole circle = 2πr = 10π Now, what fraction of that circumference is a 45 degree sector?
*April 8, 2016*

**Math w/business apps**

solve for x x(1 + .06/12)^12 = 20000
*April 8, 2016*

**Algebra 1-HELP!**

Did you first look for the HCF ? I see: 8(4a^2 + 12a^2 + 9) hint#2: Did you notice the perfect squares at front and end of the trinomial?
*April 8, 2016*

**Algebra 1**

hint: if there are x cans and you have 800 cans and bottles, wouldn't the number of bottles be 800-x ?
*April 8, 2016*

**algebra**

As Bob noted you don't have an equation. you probably have the expression (x - 1/x)/(1 + 1/x) and are asked to simplify it. Hint: how about multiplying the fraction by x/x
*April 8, 2016*

**math**

Why would "guess" for math problems Surely you could have tried to work them out #6 is trivial #8-12 deal with the rules of multiplying and dividing powers When multiplying powers with the same base, keep the base and add the exponents e.g. x^4 * x^8 = x^12 When ...
*April 8, 2016*

**math {sequences}please help**

#3 is geometric with a common ratio of 1/3 your other answers are correct
*April 8, 2016*

**GEOMETRIC SEQUENCES**

No Think of how you would obtain the next term you could take .18 of the previous term and subtract or just take .82 of it so the sequence is: 20000 , 20000(.82), 20000(.82)^2 , .... so r = .82 I am sure you can now answer the question
*April 8, 2016*

**math**

No interest ? Give it to me and after 35 years, my estate will pay you back 1000(12)(35) or $ 420,000
*April 8, 2016*

**math**

let the tens digit be x then the unit digit is 3x so the number is 10x + 3x = 13x the number reversed is 10(3x) + x = 31x 31x + 13x = 88 44x = 88 x = 2 3x = 6 The original number was 26 check: is 26 + 62 = 88 ? YES my answer is correct
*April 8, 2016*

**linear equation in one variables**

let unit digit be x then tens digit is 9-x the number is : 10(9-x) + x = 90 - 9x the number reversed is 10x + 9-x = 9x + 9 9x+9 - (90-9x) = 27 18x - 81 = 27 18x = 108 x = 6 unit digit is 6 tens digit is 3 The number is 36
*April 8, 2016*

**elementary quantitative methos**

This is just finding the P of a PV. Same formula, same story.
*April 8, 2016*

**elementary quantitative methos**

beginning of 2nd year ---> end of first year. I will assume the 12th payment has been made outstanding balance = 230000(1.01625)^12 - 3817.23( 1.01625^12 - 1)/.01625 = ....
*April 8, 2016*

**elementary quantitative methos**

subtract 100,000 from 240,000, that is your PV i = .195/12 = n = 240 P = ? straight formula application ( I got 3817.23 )
*April 8, 2016*

**elementary quantitative methos**

Use the PV formula I showed you in your previous post
*April 8, 2016*

**elementary quantitative methos**

i = .085/4 = .02125 n = 20 amount = A = 30000 payment = P = ? You must memorize the formulas A = P( (1+i)^n - 1)/i and PV = P (1 - (1+i)^-n )/i, where PV is the present value just sub in all your data and solve for the missing variable. 30000 = P( 1.02125^20 - 1).02125 30000...
*April 8, 2016*

**Math**

number of stickers ---- x number of ballons --- 6x bubbles ----- (1/3)(6x) = 2x x + 6x + 2x = 135 solve for x
*April 7, 2016*

**Math**

I assume you mean by just guessing. he must get 8 right, or 9 right or 10 right = C(10,8)(1/2)^8 (1/2)^2 + C(10,9)(1/2)^9(1/2) + C(10,10) (1/2)^10 = (1/2)^10 ( 45 + 9 + 1) = 55(1/2)^10 = 55/1024 not good, better study
*April 7, 2016*

**Math**

let the side of square ABCD be x then area = x^2 area of square EFGH = 2x^2 side of square EFGH = √2 x EF = √2 x AC^2 = x^2 + x^2 = 2x^2 AC = √2 x AB/AC = x/√2x = 1/√2 AB/EF = x/√2x = 1/√2 thus AB/AC = AB/EF
*April 7, 2016*

**Math**

original price ----- x dollars .85(1.08)x = 688.50 solve for x
*April 7, 2016*

**Math**

In a refection over the x-axis, the x coordinate would stay the same, but the y would turn into its opposite that is, (x,y) ---> (x, -y) A(2,-5) ---> A'(2,5) find the choice that matches this
*April 7, 2016*

**pre ap math**

If it is lauched from a height of 48 ft, then the equation should be h = -16t^2+32t+48 I will assume a typo you want h = 0 (at ground level h=0) 0 = -16t^2+32t+48 t^2-2t-3 = 0 It factors, (t-3)(t+1) = 0 t = 3 or t = -1, rejecting the negative time it took 3 seconds
*April 7, 2016*

**linear equations in one variable**

Let the number of ₹5 coins be x then the number of ₹2 = 3x and the number of ₹1 = 160 - x - 3x = 160 - 4x Now for the value: 5x + 2(3x) + 1(160 - 4x) = 300 5x + 6x + 160 - 4x = 300 7x = 140 x = 20 You have 20 ₹5 coins 60 of the ₹2 coins and 80 of ...
*April 7, 2016*

**math probability**

The prob that you get a 7 when rolling two dice = 1/6 so when two friends roll , (the same result as you rolling twice) prob(2 7's ) = (1/6)(1/6) = 1/36
*April 7, 2016*