Wednesday

July 30, 2014

July 30, 2014

Total # Posts: 26,914

**phisecs**

What is phisecs, some small unit of time? rowing rate --- x km/h current rate --- y km/h A girl rows 11 km downstream in 2 h ---> 2(x+y) = 11 2x + 2y = 11 "Her return trip takes 4 h" ---> 4(x-y) = 11 4x - 4y = 11 first times 2 4x + 4y = 22 add to the 2nd 8x = 3...

**Math ~ Check Answers ~**

Are you just guessing? Your second one happens to be correct, do you know why it is 2 ?

**math**

Poor wording of the problem. dy/dx = 8x^3 + 9x^2- 2x+ 5 y = 2x^4 + 3x^3 - x^2 + 5x + c but (2,3) lies on it 3 = 32 + 24 - 4 + 10 + c c = .... evaluate, plug c back into y = ....

**math**

slope of line is -1 dy/dx for y = 2/x+ k is -2/x^2 so -2/x^2 = -1 x^2= 2 x= ±2 if x = 2, 2+y = 1 ---> y = -1 so one point of contact is (2,-1) it must lie on y = 2/x + k -1 = 2/2 + k k = -2 you try the case where x = -2

**algebra**

x -28 + 7= 43 solve for x

**math**

nope consider a rectangle, with sides of width 4 cm and length 10 cm. I can also draw a parallelogram with opposite pair of sides of 4 and 10 cm. they are not congruent. I would go with "sometimes"

**algebra**

9|9-8 x|=2x+3 , x ≥ -3/2 |9-8 x|=(2x+3)/9 9-8x = (2x+3)/9 81 - 72x = 2x+3 -74x = -78 x = -78/-74 x = 39/37 or 9-8x = -(2x+3)/9 81 - 72x = -2x - 3 -70x = -84 x = 87/70 = 6/5 check: if x = 6/5 LS = 9|9-8(6/5)| = 27/5 RS = 2(6/5)+3 = 27/5 , so x = 6/5 if x = 39/37 LS = 9|9-...

**Math**

here is a nice youtube showing how it works http://www.youtube.com/watch?v=hJCHhWlyIws

**Math**

let f(x) = 2x^4 + 4x^3 + 3x^2 + 18 f(1) = 2+4+3+18 ≠ 0 f(-1) = 2 - 4 + 3 + 18≠0 f(2) ≠0 f(-2) ≠0 ... f(±9) ≠ 0 tried ±1, ±2, ±3, ±6, ±9, ±1/2, ± 3/2, ±9/2 none worked could not find an...

**math**

let the time taken be t minutes velocity = 265 ft/sec = 15900 ft/min distance traveled along the hypotenuse = 15900t ft Did you make a sketch of the right-angled triangle? I see it as ... sin 15° = 11000/15900t 15900t = 11000/sin15 t = 110/(159sin15) = 2.69 minutes

**MATH**

2(x-5) - 7 =2 2x - 10 = 9 2x = 19 x = 19/2

**PRE-Algebra**

tank A : tank B = 11:15 550/tankB = 11/15 11tankB = 8250 tankB = 750

**back up - Geometry HELP HELP**

oops, I misread the question, and got the wrong triangle (I used the y-axis, instead of the x-axis) so thepoints are (0,0), (2,2) and (5,0) same equation for the right-bisector of AB which is x + y = 2 the right bisector of line from A to (5,0) is x = 5/2 for centre: 5/2 + y =...

**Geometry HELP HELP**

Make a sketch, and by some simple preliminary algebra you can see that the triangle is A(0,0) , B(2,2) and C(0, 10/3) the centre of the circle lies on the right bisectors of any of these sides midpoint of AC = (0, 5/3) so right-bisector equation is y = 5/3 midpoint of B(2,2) i...

**math**

first vector = (530cos0, 530sin0 = (530,0) 2nd vector = (80cos220 , 80sin 220 = (-61.28355, -51.423 resultant = ((468.71644 , -51.423) maginitude = √((468.71644^2 + (-51.423)^2 ) = 471.529 direction: tan ฿ = -51.423/468.71644 = -.839.. ฿ = E 40° S

**math**

I have a strong feeling you meant: (1-tan^2 Ø)/(1 + tan^2Ø) + 2tan^2 Ø = (1 - sin^2 Ø/cos^2 Ø)/sec^2 Ø + 2sin^2 Ø/cos^2 Ø = (1 - sin^2 Ø/cos^2 Ø)(cos^2 Ø) + 2sin^2 Ø/cos^2 Ø = cos^2 &Osl...

**pre-calc**

Your given function will be the part of the parabola which lies to the right of the vertex (3, -9) so y = x^2 - 6x inverse is x = y^2- 6y y^2 - 6y = x complete the square: y^2 - 6y+ 9 = x+9 (y-3)^2= x+9 y - 3= ± √(x+9) y = 3 ± √(x+9) but we only used ...

**Calculus**

You are doing fine so far. For these kind of max/min questions, look for "something" which will be either maximized or minimized. What ever that "something" is , you will need an equation that says "something" = ...... In this case I see, " ....

**Geometry**

original dimensions: l, w, h volume = lwh new length --- 2l/3 new width ---- w/10 new height = h/4 new volume + (2l/3)(h/4)(w/10) = 2 lwh/120 = lwh/60 or (1/60)lwh so , yes, it is B

**math**

4 2/3-1 1/6 = 14/3 - 7/6 = 28/6 - 7/6 = 21/6 = 7/2 or 3 1/2 Your second has the correct answer, but is nonsense in between 10 1/2-6 2/5 = 21/2 - 32/5 , ( LCD = 10 ) = 105/10 - 64/10 = 41/10 or 4 1/10 PS, I always consider an "improper" fraction in lowest terms a bett...

**Algebra**

I will assume you mean u/(1-u) + 1 = 1.5 u/(1-u) = 1/2 2u = 1-u 3u = 1 u =1/3

**Math**

so let the width be x , we know the length is 30 30x = 600 x = 20 so he needs 20+20+30 = 70 ft

**Math help**

(2x^2)( y^4)( 2x^2 y) + 2xy - 3x^5 y^3 = 4x^4 y^5 + 2xy - 3x^5 y^3 now what? are we factoring ?

**math fractions and decimals**

ummhh, give me a whole number greater than 4 and less than 8. Am I missing something here?

**Math - Check My Answers**

remember , the method I used only works if the exponents are the same, that is, a^m * b^m = (ab)^m

**Math - Check My Answers**

#1. 2^(1/3)*4^(1/3) = 8^(1/3) = 2 #2,3 , ok #4 same reasoning as #1 3((1/3) * 9^(1/3) = 27(1/3) = 3 #5, 6, 7, 8, 9 are all ok

**Gowith Steve - Geometry**

messed up my typing don't know why my 1/3 suddenly became 2/3

**Geometry**

let the base of the pyramid and the cube be x by x let the height of the pyramid be h then the height of the cube is 2h volume of pyramid = (1/3)x^2 h = (2/3)h x^2 volume of cube = x^2 (2h) = 2h x^2 ratio of cube : pyramid = 2hx^2 : (2/3hx^2 = 2: 2/3 = 6:2 = 3:1 so it is 3 tim...

**Math**

I don't understand your notation ^-^4 I will assume you meant: (5.7 x 10^3)^-4 = 5.7^-4 x 10^-12 = .000947.. x 10^-12 = 9.47 x 10^-16

**Geometry**

Did you mean positive whole numbers ? let the base be y and each of the equal sides be x To be a triangle, x > 2y or y < x/2 2x + y = 99 y = 99-2x y-intercept is 99, x-intercept is 49.5 so the x, or the base, can only be a number from 1 to 49 but to even have a triangle,...

**Foundations Math 12**

option A: semiannual rate --- i 15000(1+i)^10 = 20000 (1+i)^10 = 4/3 1+i = 1.029186 semi-annual rate is 2.9186 % annual rate is 5.8372 % option B, monthly rate is .004864.. 15000(1 + .004864..)^60 = 20069.53 so option B Since the annual rate is the same, clearly the more frequ...

**Math**

I am going to assume you meant to type f(x) = 2/(x+3) (g ° f)(x) = g(f(x)) = g( 2/(x+3)) = 1/( 2/(x+3)) = 1(x+3)/2 = (x+3)/2 If you meant it the way you typed it, follow the same steps and make the appropriate changes.

**algebra**

width ---- x length --- 2x - 3 x(2x-3) = 44 2x^2 - 3x - 44 = 0 (x + 4)(2x - 11) = 0 x = -4, which would make no sense or x = 11/2 or 5.5 yds the width is 5.5 yrds and the length is 8 yards check: 8(5.5) = 44

**Foundations Math 12**

PV( 1.00075)^48 ) = 225.50 PV = $217.53

**Math**

3 ln 2 – ln 4 + 5 ln x = ln 3 + 2 ln 5 ln 2^3 - ln4 + ln x^5 = ln 3 + ln 5^2 ln ((8x^5)/4) = ln (75) none of those match this left in log form, I had ln (8x^5/4) = ln 75 none of your choices match this.

**Math**

So the midpoint is (5, -1) and the equation would be (x-5)^2 + *y+1)^2 = r^2 plug in one of the end points of the diameter to get r^2 check your answer by plugging in the other point, you should get the same r^2 value

**Calculus**

let the width of the rectangle be 2x let the height of the rectangle by y then sides of triangle are 2x each and its height is √3 x area = (1/2((2x)(√3x) + 2xy = √3 x^2 + 2xy 200 = √3 x^2 + 2xy u = (200 - √3x^2)/(2x) Perimeter = P = 6x + 2y = 6x +...

**Math**

what is 2000( 1.06^40 - 1)/.07 ?

**Math**

You want the ratio of fantasies : total books = 50 : 85 = 10 : 17 you had that. end of problem

**Arithemetic progression**

term(18) = a+ 17d but d = 3 and term(18) = 549 a + 17(3) = 549 a = 498 term(56) = a + 55d = ..... sum(32) = (32/2)(2(498) + 31(2) ) = ...

**Math**

We know that (√x)^2 = x , by the very definition of √x suppose we take x(1/2) and square it (x^(1/2)^2 by the exponents rules this would be x( (1/2)(2) ) = x so (√x)^2 = (x^(1/2) )^2 then √x = x^(1/2) so x^(1/2) behaves the same way as √x by the s...

**Math (I'm really confused). Please help.**

So the sides must be the same .... 9x - 14 = 7x 2x =14 x = 7 ( I am confused that this confused you)

**Math PLZ help**

sides of a 30-60-90 triangle are in the ratio of 1 : √3 : 2 so x : ? : 18 = 1 : √3 : 2 x/1 = 18/2 x = 9

**ijhs**

let original number be 10x + y then the number reversed is 10y + x difference= 10x+y - (10y+x) = 9x - 9y but 9x - 9y= 36 x - y = 4 since x and y must both be integers between 1 and 9 that little equation tells me that the difference between the digits is 4 possible (x,y) are (...

**math**

Huhh?

**Math.G.P**

arithmetic mean of 1st and 3d = (x-2 + x+6)/2 = (2x + 4)/2 = x+2 let the 2nd be y then y/(x-2) = (x+6)/y y^2 = (x-2)(x-6) y = ± √((x-2)(x+6)) mean:2nd = 5:3 (x+2)/√((x-2)(x+6)) = 5/3 square both sides and expand (x^2 + 4x + 4)/(x^2 + 4x - 12) = 25/9 25x^2 + ...

**Math 2**

number of feet = 8(2.5) = 20 number of yds = 20/3 or 6 yards and 8 inches

**Math**

-48x(7x^2 - 6) ...|336 288 4 |84 72 4 | 21 18 3 | 7 6 The GCF of 336 and 288 = 4x4x3 = 48

**Maths**

present value of remaining balance = 600( 1 - 1.00583333^-36)/.00583333 = $19,431.88 you are paying an extra $1000 leaving a present value balance of $18,431.88 so ... 600( 1 - 1.00583333^-n)/.005833333 = 18431.88 1 - 1.005833333^-n = .179198811 1.00583333^-n = .820801188 log ...

**algebra**

Looking at all the "Related Questions" below, you must have a typo. Most say "Alex spent twice as much as Terry" let Terry's amount be x let Nick's amount be y let Alex' amount be 865-x-y after the spending: Terry has (3/5)x = 3x/5 Nick has y-40...

**Algebra**

you will find that the question contained in http://www.jiskha.com/display.cgi?id=1305681090 has the same setup as yours, just change the numbers and follow my method.

**math**

number of paperclips ---- x reds ---- (1/6)x blue ---- (5/12)x sofar: x/6 + 5x/12 = (7/12)x remainders ---- x - 7x/12 = 5x/12 so (2/5)(5x/12) = 10 10x/60 = 10 x/6 = 10 x = 60 reds = 60/6 = 10 blues= 5(60)/12 = 25 So there are 15 more blues than reds check: reds and blues = 35 ...

**Algebra**

using y = mx + b -4 = (4/5)(7) + b -4 - 28/5 = b b = -48/5 y = (4/5)x - 48/5

**German help - Reiny**

correct

**Maths**

last term is a + (n-1)d = 37a 36a = 49(n-1) 36a = 49n - 49 n = (36a+49)/49 or (36/49)a + 1 but n must be an integer, so a must be a multiple of 49 if a=49 , n = 37 if a = 98 , n = 73 if a = 147 , n = 109 etc (n increases by 36) check my second example, a = 98 , n = 73 terms wo...

**geometry**

V = πr^2 h h = 335/(π r^2) SA = 2π r^2 + 2πrh = 2πr^2 + 2πr(335/(πr^2) = 2πr^2 + 670/r d(SA)/dr = 4πr - 670/r^2 = 0 for a min of SA 4πr = 670/r^2 4πr^3 = 670 r = (670/(4π))^(1/3) = 3.763757606.. subbing back into h h ...

**maths**

Did you mean: a grocery man bought 300 apples ... ? We need the cost price to establish the profit.

**German Help please**

Just noticed that your opening phrase in #5 is a mix of English and German. It should have been something like this: Die Schwester meines Vetters ist (if the cousin was male) or Die Schwester meiner Kusine ist (if the cousin was female)

**German Help please**

All correct except #3 I think you have a typo, since #3 is the same as #4 According to you choses answer of "meine Geschwister" , I will guess that it was: mein Bruder und meine Schwester.

**Algebra - Rational Exponents**

Depends what you mean by raising a power to a power e.g. (3^2)^3 = (3^2)(3^2)(3^2) = (9)(9)(9) = 729 or = 3^6 = 729 if the two exponents are at the same "horizontal level" then you multiply the two or more exponents (a^x)^y = a^(xy) do not confuse that with (a^x)(a^y...

**pre cal**

I agree. What about it?

**Math**

What is 1/3 of 1/5 ? isn't that just 1/15 ??

**Algebra**

start with y = mx + b y = (4/5)x + b plug in the point ... -1 = (4/5)(3) + b -1 = 12/5 + b -5 = 12 + 5b ---- I don't like fractions 5b = -17 b = -17/5 y = (4/5)x - 17/5 easier way: y+1 = (4/5)(x-3) 5y + 5 = 4x - 12 4x - 5y = 17 mold this equation into any form you wish, on...

**math**

original price --- x (1/2)x - 6 = 88 x/2 = 94 x = 188

**Maths**

I am not familiar with a "balloon payment" since I am not from the US, but I will take a stab at the math. Amount owing after 30 years = 300000(1.07)^30 - 23500( 1.07^30 - 1)/.07 = $ 63,848.80 Is this the balloon payment? It is appr 3 times the annual payment of 23,5...

**Intermediate Algebra**

or y = (9/5)x + 4

**Intermediate Algebra**

The slope of the given line is -5/9 so the slope of the new line must be +9/5 and the new equation will look like 9x- 5y= c plug in the given point (0,4) 0 - 20 = c new equation: 9x - 5y = -20

**Math**

Using the same form of your given line, and since the slope is the same , m = 2 y-7 = 2(x-5) or y = 2x - 10 + 7 y = 2x- 3

**math**

What is 400(3) + 500(-2) ?

**Calculus I**

when x = 3 9+y^2 = 25 y^2 = 16 y = ±4 2x dx/dt + 2y dy/dt = 0 dy/dt = -x dx/dt/y = -3(-8)/±4 = ± 6

**Geometry**

40 cm : 18 mm = 40 cm : 1.8 cm = 40 : 1.8 = 400 : 18 = 200 : 9

**Maths**

Pay( 1.08^18 -1)/.08 = 160000 pay = $ 4272.34

**math**

45000(1.03)^n = 50000 1.03^n = 1.1111... n log 1.03 = log 1.111.. n = 3.5644.. about 3 1/2 years

**Math**

let the present value of the deposit be P P(1.075)^6 = 55000 p = 55000/1.075^+ = $35637.88 (elope, skip the expensive wedding, and use it as a downpayment for a house)

**Algebra**

What? No interest involved? So, let the number of months be n 500 + 95n = 800 + 75n 20n = 300 n = 15 check: 500 + 15(95) = 1925 800 + 15(75) = 1925

**Bronies**

Never heard of that, so I googled it. Does GOOGLE not work on your computer ?

**Algebra (Age Problem)**

present age --- x age five years ago --- x-5 age five years from now -- x+8 "Five years ago Rico's age was half of the age he will be in eight years" x-5 = (1/2)(x+8 times 2 2x - 10 = x + 8 x = 18 Rico is now 18 yrs old check: 5 years ago: 13 8 years from now: 26...

**Math (Variation)**

cost = k r^2 when r = 6, cost = 148 148 = k(36) k = 37/9 cost = (37/9) r^2 so when r = 11 cost = (37/9)(121) = 497.44 or cost1/cost2 = r1^2/r2^2 148/cost2 = 36/121 36cost2 = 148(121) cost = 148(121)/36 = 497.44

**math**

denominator --- x numerator ---- x-6 (x-6)/x = 3/4 4x-24 = 3x x = 24 check: (24-6)/24 = 18/24 = 3/4 , YUP

**Pre-Alegebra**

25/20 = 6/x 25x = 120 x = 120/25 = 24/5 or 4.8 ft

**maths**

time = distance / rate = 300 km/(60 km/h) = 5 hrs

**algebra 2**

since cotØ = 1/tanØ by definition, given the tangent of an angle, just take the reciprocal to find the cotangent of that same angle eg, given tanØ = 4/7 then cotØ = 7/4

**Math**

I would first of all change the ratio from 1/4 in : 6 ft , to 1 inch: 24 ft a) for 18 ft, x in/1 in = 18ft/24ft x = 18/24 = 3/4 inch b) x/1 = 66/24 = 11/4 inches or 2.75 inches c) you do it.

**Maths**

current: number of girls -- 3x number of boys --- 4x after change: number of girls -- 3x+3 numbr of boys --- 4x-1 new ratio of girls to boys = (3x+3) : (4x-1) more data needed to get numerical answer. e.g. if we let x = 5 we had 15 girls and 20 boys, notice 15:20 = 3:4 after c...

**Probability**

Assuming of course that he would try the same password more than once, we want success within 2 attempts ----> He could log in on his first try, or if that fails on his second try. FS for failure, then success is Prob(S) + Prob(FS) = 1/8 + (7/8)(1/7) = 2/8 = 1/4

**Math**

using my favourite normal distribution graphing calculator (same as tables in back of text books) http://davidmlane.com/hyperstat/z_table.html click on "value from an area" then enter: area = .9 (to be in top 10%, 90 must be "below" ) mean = 620 SD = 220 cl...

**math**

total now = 24 let the number of oranges to be added be x so (4+x)/(24+x) = 1/4 16 + 4x = 24+x 3x = 8 x = 8/3 8/3 buttons ??? Questions is flawed, check your data or your typing.

**math**

number of rooms rented = 450 - 7x price per room = 750 + 4x revenue = (450-7x)(750+4x) expand, then either find the vertex of the resultiong quadratic function, or differentiate, set equal to zero, and solve for x

**MATH HELP!!!!!!!!**

Do you know how to find the inverse of a 3by3 matrix? I got the following: 28 -51 1 40 -18 -26 4 27 7 each is divided by 192 so multiply the above inverse matrix by 46 12 60 then divide each result by 192 for your x1, x2, x3

**Algebra 1 (Reiny!)**

a) correct b) correct, but do you know why the volume is zero ? c) this will also answer part b) the given volume = c(8.5-2c)(11-2c) in expanded form notice if c = 4.25, the size of the cut-out, you would be cutting away 4.25 on each side of the width but the width is only 8.5...

**math**

do you know Calculus? If so, then dP/dx = -80x + 1000 = 0 for a max of P 80x = 1000 x = 1000/80 = 12.5 I assume you can't make a partial product , so either make 12 or 13 to get the same maximum profit If you don't know calculus .... the x value of the vertex is -b/(2a...

**math**

let magnitude 3 be represented by c then maginitude 4 would be 10c and magnitude 6 would be 10^2 x 10c = 1000c it would be 1000 times as great.

**algebra**

number of quarters --- x number of dimes ----- x + 6 25x + 10(x+6) = 165 solve for x, sub into my definition

**math**

let the amounts be 2x , 3x, and 5x solve 2x+3x+5x = 8000, then sub the x back into the three different definitions (hint: the largest share should be $4000 )

**math!!!!**

9 laps = 9(1/8) or 9/8 miles speed = (9/8) / 2.5 minutes = 1.125/2.5 mpm = .45 miles/min

**MATH**

yellow : red = (3/4) : (5/4) = 3 : 5 y:1 = 3:5 y/1 = 3/5 y = 3/5 He needs 3/5 L of red check: (3/5) : 1 = 3 : 5, the ratio as needed

**Geometry**

Area of a kite = (1/2)product of the diagonals So the width and height would be diagonals let the height diagonal be h (1/2)(15)h = 60 15h = 120 h = 8 , looks like C

**Maths**

I will assume you meant: x^2 = (y^2 - r^2)/y^2 , (or else it becomes a real mess involving a quadratic equation in y^4) Let me know otherwise on my assumption, x^2 y^2 = y^2 - r^2 y^2 - x^2 y^2 = r^2 y^2(1 - x^2) = r^2 y^2 = r^2/(1 - x^2) y = ± r/(√(1-x^2) , where...

**math**

Assume there were no babies in the group number of children --- x number of adults ----- y number of seniors ---- 6-x-y 17x + 27y + 25(6-x-y) = 115 17x + 27y + 150 - 25x - 25y = 115 -8x + 2y = -35 8x - 2y = 35 The left side of this equation is even, the right side is odd, this...

**pre calculus**

.72 = 1 (e^-.000124t -.000124t ln e = ln .72 but lne =1 t = ln .72 /-.000124 = appr 2649 years check my arithmetic

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