Tuesday

September 16, 2014

September 16, 2014

Total # Posts: 27,117

**math**

term 11 = a+10d = 8+10d term 7 = a + 6d = 8+6d (8+10d)/(8+6d) = 5/8 64 + 80d = 40 + 30d 50d = -24 d = -24/50 = -.48 check: term 11 = 8 + 10(-.48) = 3.2 term 7 = 8+6(-.48) = 5.12 5.12 : 3.2 = 512 :320 = 8 : 5
*March 19, 2014*

**Physics question - I NEED HELP PLEASE**

need rules of physics here. volume of water if trough is full = (1/2)(3)(5)(8) = 60 cubic metres from here on it is physics
*March 19, 2014*

**math**

boys --- 4x girls ---- 5x 4x+5x = 54 take over....
*March 19, 2014*

**Math**

distance at 15 km/h --- x distance at 18 km/h ---- 136-x x/15 + (136-x)/18 = 8 multimply each term by 90 6x + 5(136-x) = 720 6x + 680 - 5x = 720 x = 40 distance at 15 km/h is 40 km distance at 18 km/h is 136-40 or 96 km check: 40/15 = 2 2/3 hrs 96/18 = 5 1/3 hrs , for a total ...
*March 19, 2014*

**math**

(1/8) of what number is 3 ?
*March 18, 2014*

**derivatives**

yup! sloppiness on my part
*March 18, 2014*

**derivatives**

I assume that you want the derivative, since you titles your post that way. if y = x^2cosx-2xsinx-2cosx dy/dx = (x^2)(-sinx) + 2x cosx - 2x(-cosx) - 2sinx + 2sinx = -x^2( sinx) + 4x( cosx) etc if needed
*March 18, 2014*

**Not so fast .....**

Since each flower needs 1 square foot, the flowers planted along the circumference will not have a complete square foot. To illustrate, take a grid paper, and draw a circle with radius 7. we will need x^2 + y^2 = 49 you only have to look at 1/4 of the circle and look at the ...
*March 18, 2014*

**Calculus Help**

y = (e^-x) (cosx)^2 (x^2 + x + 1) take ln of both sides ln y = ln e^-x + ln (cosx)^2 + ln(x^2 + x + 1) = -x + 2 ln(cosx) + ln(x^2 + x + 1) now differentiate y' / y = -1 + 2(-sinx/cosx) + (2x+1)/(x^2 + x + 1) = -1 - 2tanx + (2x+1)/(x^2 + x + 1) y' = y(-1 - 2tanx + (2x+1...
*March 18, 2014*

**Math**

for any quadratic function f(x) = ax^2 + bx + c the x of the vertex is -b/(2a) sub that x value into the function to get the y of the vertex, so n(x) = -.3x^2 + 9x + 15 x of vertex is -9/(2(-.3)) = 15 n(15 = -.3(225) + 9(15) + 15 = 82.5 ticket sales will peak on day 15 and ...
*March 18, 2014*

**math**

TC = 5/9 (TF – 32) TF = 9/5 TC + 32 , converts between TF and TC TF is temperature in archaic Fahrenheit, TC is temperature in Celsius I + PRT, interest = principal x rate x time for simple interest D = R x T , distance = rate x time
*March 18, 2014*

**Math**

yes , the x-intercepts are 0 and 4, respectively confused about your second reply, the vertices are indeed (0,0) and (0,4) <<I mean 0 for -2x^2. Sorry about the 4, I didn't mean to put that. >> , don't even know what that is supposed to say. see, http://www...
*March 18, 2014*

**Math**

You talk about equations, but show no equation. You must have meant the equations to be y = -2x^2 and y = -2x^2 + 4 You are asking for the axes of symmetry but instead state the vertices. You were correct that the vertices are (0,0) and (0,4) respectively. so the axes of ...
*March 18, 2014*

**Math**

Did you not notice that for every increase of 20 in the x's there is a decrease of 20 in the y's so the slope is (45-65)/(30-10) = -1 so y = -x + b using x=10, y = 65 65 = -10 + b b = 75 y = -x + 75
*March 18, 2014*

**trigonometry**

the formula you want is cos a + cos b= 2cos((a+b)/2) * cos((a-b)/2) so cos 5w + cos 2W = 2cos(7w/2) * cos(3W/2)
*March 18, 2014*

**Algebra**

I did this one last year http://www.jiskha.com/display.cgi?id=1362104847
*March 18, 2014*

**algebra 1**

first even : x 2nd even : x+2 now do it like the others
*March 17, 2014*

**PreCalc**

Andy, I have done quite a few for you now. Give this one a try, let me know what you get.
*March 17, 2014*

**uninhibited growth**

done, look back to your earlier post of this
*March 17, 2014*

**algebra 1**

done , look back
*March 17, 2014*

**interest**

we don't really need the amount at first rate: 2 = 1 e^(.05t) ln2 = .05t t = 13.86 ---> the doubling time at 2nd rate: 2 = 1 e^(.1t) you finish it.
*March 17, 2014*

**algebra 1**

1st number ---> x 2nd number -- > x+1 3rd number --> x+2 x+x+1+x+2 = -204 3x = -207 x = -69 largest is -67 or let the 3 numbers be (x-1) , x , (x+1) x-1 + x + x+1 = -204 3x = -204 x = -68 largest number is -68+1 = -67 notice that in my second solution, the equation ...
*March 17, 2014*

**algebra 1**

what does (2/9)x = 24 sound like to you?
*March 17, 2014*

**algebra 1**

looks like (3/8)b = 14
*March 17, 2014*

**Math**

The ones digit is 5 less than 10. ---> xx5 The tens digit is 2 more than the ones digit -- x75 it must be less than 200 so it is either 175 or 75
*March 17, 2014*

**Precalculus**

I have now answered several question for you of this type. This is the easiest of the bunch Your turn ! let me know what you got
*March 17, 2014*

**PreCalculus**

amount = 100 (1/2)^(t/5730) b) 59 = 100 (.5)^(t/5730) .59 = .5^(t/5730) ln .59 = (t/5730) ln (.5) t/5730 = ln .59/ln .5 = .76121314 t = 4361.75 yrs
*March 17, 2014*

**Uninhibited Growth**

time from 1992 to 2010 = 18 years Denmark: pop = 5.2 e(18(.001)) = appr 5.29 million Chad: pop = 5.2 e(18(.025)) = 8.2 million when is 10 = 5.2 e^(.025t) 1.923077 = e^ .025t .025t = ln 1.923077 t = 26.16 years or in appr 26 years or in 2018 (in 2010 it was 12.7 million)
*March 17, 2014*

**Precalculus**

let t=0 correspond with the year 1850 then 1900 ---> t = 50 then 1950 ---> t = 100 population = a( e^(kt) ) , where a is the initial population and t is the number of years since 1850 23,191,876 = a e^0 a = 23,191,876 then: 62,947,714 = 23,181,876 e^(50k) 2.715384812 = e...
*March 17, 2014*

**math**

what is 123(81) - 492(9) + 813 ?
*March 17, 2014*

**AP Calc**

let's eliminate the parameter t from x = e^t lnx = t then y = (lnx)^2 - 3 to be concave up, the second derivative must be positive y' = 2(lnx)(1/x) y'' = 2lnx (-1/x^2) + (1/x)(1/x) = (-2lnx + 1)/x^2 x^2 is always positive so -2lnx + 1 > 0 lnx < -1/2 ----&...
*March 17, 2014*

**AP Calc**

cos y = x - y -sin y dy/dx = 1 - dy/dx dy/dx - siny dy/dx = 1 dy/dx(1 - siny) = 1 dy/dx = 1/(1 - siny) to have a vertical tangent, the slope of that tangent must be undefined, that is, 1 - siny = 0 sin y = 1 y = π/2 or y = -3π/2 or 5π/2 if y = π/2 , then ...
*March 17, 2014*

**College Algebra**

by intuition, it must be 8 oz or the amount of salt must stay the same, so .02(16) = .04(16-x) .32 = .64 - .04x .04x = -.32 x = 8
*March 17, 2014*

**Trigg**

y=1000 sin (2t) +400 sin(anything) lies between -1 and +1 so the smallest value of sin(2t) is -1 so the smallest value of y = 1000(-1) + 400 = -600 But, it would make not make any sense to have a negative population, so my answer would be zero
*March 17, 2014*

**Algerbra**

I will assume I am looking at two different ones 1. -1< 3+2x<11 2. 1 – x >-3 or 5x-1>19 #1. -1< 3+2x<11 subtract 3 -4 ≤ 2x < 8 divide by 2 -2 < x < 4 all real numbers between -2 and 4 #2 1 – x >-3 or 5x-1>19 -x > -4 or 5x >...
*March 17, 2014*

**math**

The use of this page is more efficient and more accurate than using a standard normal distribution table, http://davidmlane.com/hyperstat/z_table.html for the prob(between 170 and 180) is gives .4772 for the prob( > 178) it gives .0548 multiply each of these by the 80 ...
*March 17, 2014*

**French school**

This person has listed the number of school days of several countries http://norberthaupt.com/2012/04/20/school-days-around-the-world/ Not all countries are listed of course, e.g. he did not list my Canada, but I know that in Ontario the number of days is 195 on average.
*March 17, 2014*

**Math 134**

Don't try to "create" fractions in this format, the spacing comes out all wrong. did you mean: 2x/(x+3) + 9/(x-3) - 36/(x^2 - 9) ?? if so, notice that x^2-9 = (x+3)(x-3) , so your LCD is (x+3)(x-3) give it a try
*March 16, 2014*

**Math 134**

my goodness! I answered this same question for you earlier. All you have to do here is change the numbers. http://www.jiskha.com/display.cgi?id=1395018684
*March 16, 2014*

**Alegbra**

if those negatives are supposed to be exponents, write them this way: 6.3 x 10^-7 3.25 x 10^-12 both expressions are in scientific notation
*March 16, 2014*

**Alegbra**

I suspect a typo
*March 16, 2014*

**math**

ummh, that would be (0,0) You should know the properties of this , the simplest form of the equation of a circle.
*March 16, 2014*

**Math 117**

done, check back on your previous post of this
*March 16, 2014*

**Math 117**

I interpret (fg)(x) as (-6x-1)(4x^2) = -24x^3 - 4x^2
*March 16, 2014*

**Math 117**

I bet you mean: f(x) = (x+10)^2 new equation: g(x) = (x+10 - 12)^2 = (x-2)^2
*March 16, 2014*

**math**

radius of each bubble = .005 m or (1/2) cm volume of each bubble = (4/3)π(1/2)^3 cm^3 so 1 million of them = 1000000(4/3)π(1/2)^3 = appr 523598.78 cm^3 = appr .5236 m^3 a bit over 1/2 cubic metre
*March 16, 2014*

**trig**

2tanA+6=tanA+3 tanA = -3 so A must be in II or IV using tanx = +3 x = 71.565° so A = 180-71.564 = appr 108.4 or A = 360 - 71.565 = appr 288.4°
*March 16, 2014*

**Math 134**

rate = 4760/34000 = .14 so .14(36000) = $ 5040
*March 16, 2014*

**Math**

Make the rectangle sit on the diameter. Let its base be 2x and its height be y then x^2 + y^2 = 27^2 y = √(729 - x^2) area = 2xy area^2 = 4x^2y^2 = 4x^2(729-x^2) = 2916x^2 - 4x^4 d(area^2)/dx = 5832x - 16x^3 = 0 for a max of area (if area is the largest of all areas, ...
*March 16, 2014*

**Algebra**

A variety of 9 different questions with no apparent effort shown by you, indicates that you just want us to do this assignment for you. Tell me what answers you obtained, and where you are having difficulty. Are you telling me that you can't do #2 ?
*March 16, 2014*

**Math**

Just realized that I answered this same question back in 2011 http://www.jiskha.com/display.cgi?id=1306326095
*March 16, 2014*

**Math**

Did you make a diagram? Did you not realize that the direction of the plane and the wind form a right angle ? How did you get 266.4 for the groundspeed ? (I got 241.86)
*March 16, 2014*

**Math 2 questions**

volume of 2 similar solids is proportional to the cube of their corresponding sides, so x/240 = 23^3/92^3 = (23/92)^3 = (1/4)^3 = 1/64 64x = 240 x = 3.75 the new volume is 3.75 ft^3 If I told you that the surface area of 2 similar solids is proportional to the square of their ...
*March 16, 2014*

**Math**

number of chairs --- x number of tables --- 14-x 30x + 70(14-x) = 660 solve for x, pretty straightforward.
*March 16, 2014*

**can u explain? 1 question**

volume of pyramid = (1/3) area of base x height
*March 15, 2014*

**i need yur help with this..**

look at my answer to your first question here http://www.jiskha.com/display.cgi?id=1394926846 In calculating the area of the triangle, the height is not 15. make a sketch of the triangle to see that 15 is the hypotenuse.
*March 15, 2014*

**Calc**

quick way: for a given point (p,q) , the shortest distance from that point to the line Ax + By + C = 0 is |Ap + Bq + C|/)√(A^2+B^2) so we have (p,q) = (-4,-4) and line 2x - 2y + 3 = 0 distance =|-8 +8 + 3|/(4+4) = 3/√8 = 3/√8*√8/√8 = 3√8/8...
*March 15, 2014*

**math**

could be a very nasty equation but .... 3^x + 4^x = 5^x by inspection and recall, I know that 3^2 + 4^2 = 5^2 (did you recognize the 3-4-5 right-angled triangle) so x = 2 now suppose it had been 3^x + 4^x = 6^x look at Wolfram's solution http://www.wolframalpha.com/input/?...
*March 15, 2014*

**Math help plz check my answers!**

Surface area of a square pyramid usually just adds up the surface area of the 4 isosceles triangles, not including the base one of them: base = 11 hypotenuse = 15 height^2 + 5.5^2 = 15^2 height^2 = 194.75 height = √194.75 area of one of them = (1/2)(11)√194.75 = ...
*March 15, 2014*

**Algebra II**

I am sure you meant: (4-7i)/(2+5i) = (4-7i)/(2+5i)*(2-5i)/(2-5i) = (8 -20i - 14i + 35i^2 )/(4 - 5) = 8 - 34i - 35)/-1 = 27 + 34i
*March 15, 2014*

**Pre-Calculus**

5 - 12i r = 13 , but we want it in the form r(cosØ + isinØ) cosØ = 5/13 , so Ø could be in I or IV sinØ = -12/13, so Ø could be in III or IV so Ø must be in IV taking Damon's angle of 292.6° 5 - 12i = 13(cos292.6 + i ...
*March 15, 2014*

**Algebra Question~!**

x^2 + 7x - 30 = (x+10)(x-3) so the sides could be (x+10) and (x-3) , were x > 3 or x^2 + 7x - 30 = (x-2)(x+9 - 12/(x-2) ) so the sides could be x-2 and x+9 - 12/(x-2) or x^2 + 7x - 30 = (x+5)((x+2 - 40/(x+5) ) so the sides could be x+5 and x+2 - 40/(x+5) or ... as you can ...
*March 15, 2014*

**Algebra Question~!**

you should know the formula for the area of a circle just plug in 3x+2 for r and look at your choices (which you did not give us)
*March 15, 2014*

**math**

did that one for you, look for your previous post
*March 15, 2014*

**mathematics**

tough one! are you sure you did not mean 4^x = 8^x ? that would be easy. What you typed requires some sort of sophisticated method such as "Newton's Method" but an intuitively obvious answer would be x = 2 however there is another one between 0 and 1 let me know ...
*March 15, 2014*

**math**

looks like a lot of nonsense and mathematical gibberish.
*March 15, 2014*

**geometry**

make a sketch, join the centre to A, and complete the right-angled triangle. let the distance from the centre to the chord be x x^2 + 5^2 = 13^2 x^2 = 169-25 = 144 x = √144 = 12 Where does CD enter the picture? Where is D ? Your opening sentence of "center C has a ...
*March 15, 2014*

**math**

all lines of the type y = (-3/2)x + b , where b is any real number would be perpendicular to your given line Where there any choices? so just make sure the answer starts with y = (-3/2)x ...
*March 15, 2014*

**Algebra Question~!**

area of lot = (6x)(9x) = 54x^2 area of circle = π(4x)^2 = 16πx^2 amount left over = 54x^2 - 16πx^2 = (54-16π)x^2
*March 15, 2014*

**math**

let the original cost of one shirt be x so three shirts cost 3x reduced by 30% leaves you with .7(3x) .7(3x) = 63 2.1x = 63 x = 63/2.1 = 30 Just noticed this same question was asked last year. http://www.jiskha.com/display.cgi?id=1361331485 Now you have 3 different solutions, ...
*March 15, 2014*

**math**

What is 8/9 - 3/5 ?
*March 15, 2014*

**geometry**

As I understand the question, you simply want the circumference of a sector of central angle 7(15°) or 105° with a radius of 24 cm circumference of a circle with radius 24 is 48π cm so using a simple ratio ... 105/360 = x/48π gives an arc length of 105(48&#...
*March 15, 2014*

**Finance**

You have conflicting information. At the beginning of his "retirement period" he will need: 35000( 1 - 1.08^-15)/.08 = 299,581.75 so he would not need $400,000 at that time. To assure that he will have that $299,581.75 available 20 years from now , he needs a present...
*March 15, 2014*

**Trigonometry**

using sin(A+B) = sinAcosB + cosAsinB 4sin(π/2+x) = 4(sin(π/2)cosx + cos(π/2)sinx) = 4( (1)cosx + (0)sinx) = 4 cosx
*March 14, 2014*

**Probability**

I too made a Venn diagram and after filling in the given information , found two missing sections 1. Those that only walked 2. Those that took the bus or the car, but did not walk confirm this please #2, dA/dr means the rate of change of the surface area with respect to the ...
*March 14, 2014*

**math**

I = PRT 960 =4000(R)(3) solve for R (I got 8%)
*March 14, 2014*

**Calculus**

Steve is right, I made a silly adding vs subtracting error in the 3rd last line 3y + 27/5 = 2x - 48/5 3y - 2x = -21/5 should be 3y + 27/5 = 2x - 48/5 3y - 2x = -75/5 to give 10x - 15y = 75 , reducing to 2x - 3y = 15
*March 14, 2014*

**Calculus**

the the point of contact be P(x,y) Make a sketch to see that there would be two points P 2x + 8y dy/dx = 0 dy/dx = -2x/(8y) = -x/(4y) slope of tangent = (y-3)/(x-12) then (y-3)/(x-12) = -x/(4y) 4y^2 - 12y = -x^2 + 12x x^2 + 4y^2 = 12x + 12y but x^2 + 4y^2 = 36 12x + 12y = 36 x...
*March 14, 2014*

**Happy Pi Day**

OOPS, good catch, my apologies to the good people of Illinois.
*March 14, 2014*

**Happy Pi Day**

From the article: "The Illinois Science Council and Fleet Feet Sports are hosting a 3.14-mile walk/run Friday night, ." It is ironic that the state of Illinois actually introduced a bill , the notorious #246, which attempted to declare the value of π to be 3. ...
*March 14, 2014*

**math**

from the given: term(3) = ar^2 = 28 term(4) = ar^3 = -56 so ar^3/(ar^2) = -56/28 r = -2 then in ar^2 = 28 a(4) = 28 a = 7 sum(6) = a(r^6 - 1)/(r-1) = 7((-2)^6 - 1)/(-2-1) = 7(63/-3) = -147 check: GP is 7, -14 , 28 , - 56 , 112, - 224 sum of that is -147
*March 14, 2014*

**math**

You state different interest rates for the 1st and 3rd debt, but state no rate for the 2nd debt of $2000 due in 2 years. Other than , choose a time as a reference or focal date I picked the present time, so at present, the value of the debt = value of payments 500(1.03)^-2 + ...
*March 14, 2014*

**Math**

cost of 1st machine = 250000 + 30000( 1 - 1.085^-10)/.085 - 75000(1.085)^-10 = 413,669.04 cost of 2nd machine = 400000 + 225000(1.085)^-5 - 175000(1.085)^-10 = 472,235.27 1st is cheaper, I used the present time as my "focal point in time" check my arithmetic
*March 14, 2014*

**Algebra 1**

so we want a^2 = b^3 a = b^(3/2) or (√b)^3 so pick b = a perfect square, e.g. b = 4 , then a = 8 so 8^2 = 4^3 = 64 let b = 9 , a = 27 9^3 = 27^2 = 729 let b = 16 , then a = 64 16^3 = 64^2 = 4096 let b = 25 , a = 125 25^3 = 125^2 = 15625 So the first few numbers with that...
*March 8, 2014*

**Albegra**

I would first of all divide both sides by 20 to get the numbers a bit smaller 121/(570+r) = 107(570-r) now cross-multiply 60990 + 107r = 68970 - 121r 228r = 7980 r = 7980/228 = 35 or, look at it this way: the LCD is (570+r)(570-r) so in effect I just multiplied both sides of ...
*March 8, 2014*

**applied algebra**

what is 800(1.0275)^14 ?
*March 8, 2014*

**math**

3x^2 - 24x + 45 =0 first divide by 3 to simply x^2 - 8x + 15 = 0 (x-3)(x-5) = 0 x = 3 or x = 5 check: http://www.wolframalpha.com/input/?i=plot+y+%3D+3x%5E2+-+24x+%2B+45
*March 8, 2014*

**math**

To have more than 30 cents, the right pocket must have the quarter and the dime. possible cases, order does not matter: L --- left pocket, R -- right pocket L -- R QP ND QN PD QD PN PN QD PD QN ND QP -----> so we have 6 cases prob = 1/6
*March 8, 2014*

**Math**

y = 2(x^2 - 2x +1 -1) - 6 = 2( (x-1)^2 - 1) - 6 = 2(x-1)^2 - 2 - 8 = 2(x-1)^2 - 10 the vertex is ........
*March 8, 2014*

**Math**

y=x^2 - 4x-21 = (x^2 - 4x + 4 - 4) - 21 = ( (x-2)^2 - 4) - 21 = (x-2)^2 - 4 - 21 = (x-2)^2 - 25 take over
*March 8, 2014*

**MATH**

I agree with Damon that your gravitational constant is off. Since you are using metric , your equation should be h = -4.905t^2 + 16t + 9 let's ballpark it to h = -5t^2 + 16 + 9 a) ..... b) sub in t = 1 , h = -5+16+9 = 20 m c) for t of the vertex ... t =-b/(2a) = -16/-10 = ...
*March 8, 2014*

**Statistics**

I thought I had given you the answer. finding the z-score results in a mean of 0 and a standard deviation of 1 so in the link I gave you .... http://davidmlane.com/hyperstat/z_table.html enter 0 for the mean 1 for the sd click on "below" and enter -.75 click on "...
*March 8, 2014*

**further maths**

calculate the area of a circle with 23 m - area of circle with 20 m. = (23^2)π - (20^2)π = .....
*March 8, 2014*

**Statistics**

Fun to play around with this excellent site http://davidmlane.com/hyperstat/z_table.html
*March 8, 2014*

**Statitics**

prob(lost) = 5/1000 = 1/200 prob(not lost) = 199/200 prob( 2 of 22 are lost) = C(22,2) (1/200)^2 (199/200)^20 = .005224.. Question for you. would this be the same as "....a group of people who have 11 pieces of luggage. What is the probability that 1 of these are lost? &...
*March 8, 2014*

**Statistics**

Use David's excellent "normal distribution" calculator http://davidmlane.com/hyperstat/z_table.html click on "area from a value" enter the data, click on "between" and enter 8 and 11 to get .4467 You can enter the data directly, no need to ...
*March 8, 2014*

**maths**

There are 2 ways to get a sum of 11 in a throw of 2 dice --- 6,5 or 5,6 prob of sum of 11 = 2/36 = 1/18
*March 7, 2014*

**Algebra**

Hint for the factors: Can you think of 2 numbers, one positive and the other negative, which when multiplied give you -30 and when added give you +7 ?
*March 7, 2014*

**Algebra 1 Answer Check (Reiny)**

you are welcome
*March 7, 2014*

**Algebra 1 Answer Check (Reiny)**

all 3 are correct.
*March 7, 2014*

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