Wednesday

June 29, 2016
Total # Posts: 41,512

**Math**

just as a hint, there are 4*2 possible ways to pick the outfit. How many of those have matching colors?
*May 18, 2016*

**physics**

could be, but I think there should be a t in there somewhere.
*May 18, 2016*

**maths**

the series is the sequence of partial sums. So, the first three terms are 1,5,13 No idea what the last term is, since I don't see a pattern to the items.
*May 18, 2016*

**Algebra I**

it means that the change does not depend on the amount already present. The amount changes by a constant amount each time period. That is, a fixed amount per year, per day, etc. So, what do you think?
*May 18, 2016*

**maths**

a(r^4-1)/(r-1) = 10 T4/T3 = 1/2 the common ratio is the ratio between any term and the previous one. That should get you started.
*May 18, 2016*

**Math**

3*3 = 9
*May 18, 2016*

**Math**

there are 3 entrees and 3 veggies. So, since you can pick any entree, and the match it with any veggie, what do you think?
*May 18, 2016*

**Math**

false -3 is not a natural number
*May 18, 2016*

**Math**

don't know about profit, but the revenue is price * quantity. So, r(x) = 1500x if x <= 150 x(1500-5(x-150)) if x > 150 This is just a parabola with vertex at (225,253125), which is clearly greater than the flat rate for groups of less than 150.
*May 18, 2016*

**Math! Please Check Answers!**

I like B, but doesn't a cube have 6 sides?
*May 18, 2016*

**Math**

you are correct
*May 18, 2016*

**Math**

I assume you know how to find the area of a right triangle. The volume is just base_area * prism_height.
*May 18, 2016*

**Calculus**

dx/dt = x^2 Hmmm. if x>1, this will blow up in a hurry
*May 18, 2016*

**Math**

Which survey question is biased? “Should the President of the United States serve a six-year term “Which meal—breakfast, lunch, or dinner—is your favorite meal of the day?” “During which month do you prefer to go on vacation?” “Do you ...
*May 18, 2016*

**Calculus**

y" = sin(x)+e^(2x) this should be no trouble. Just integrate twice and use the initial conditions to find the two constants.
*May 18, 2016*

**Math**

each side is √225
*May 18, 2016*

**Calculus**

well, dy/dx = √x/2y 2y dy = √x dx ...
*May 18, 2016*

**Algebra 2 help plsss?**

√1296 = 36, so assuming you meant 4√(1296 x^16 y^12) = 4*36x^8y^6 = 144 x^8 y^6 #2 come on. √4 = 2 (4-x)/(x^2+5x-6) ------------------------- = -(x+1)/((x-1)(x-7)) (x^2-11x+28)/(x^2+7x+6)
*May 18, 2016*

**Geometry/math**

v = pi r^2 h plug in your numbers
*May 18, 2016*

**Calculus**

dx/dy = e^(x+y) dx/dy = e^x * e^y e^-x dx = e^y dy -e^-x = e^y + c x(1) = 0, so 0 = e+c c = -e -e^-x = e^y - e e^-x = e - e^y x = -ln(e - e^y)
*May 18, 2016*

**Math (Check)**

me too
*May 18, 2016*

**Geometry**

pi * 3^2 * 2
*May 18, 2016*

**Geometry**

since (3,0) is on the x-axis, the angle there must be the one bisected by the axis. So, the 3rd vertex is at (6,-4). Now you can find the side lengths and thus the perimeter.
*May 18, 2016*

**math**

1680wd/20min = 84wd/min 84/80 = 1.05 or a 5% increase in speed.
*May 18, 2016*

**math**

well, 78-8 = 70 ...
*May 18, 2016*

**Mathematics**

when you say subtracted by do you mean x-150 or 150-x ? Pick one and set it equal to x/7, then solve for x.
*May 18, 2016*

**math**

Assuming you mean that the edge of the cloth is to be trimmed with lace, you want the arc length of the graph. ds^2 = (3cos^2(t)sin(t))^2 + (3sin^2(t)cos(t))^2 dt = 9sin(t)cos(t)(cos(t)+sin(t)) dt integrate that from 0 to pi/2 and multiply that by 4 to get the entire length of...
*May 18, 2016*

**math**

4*7
*May 18, 2016*

**math**

each term is -2 times the previous one.
*May 18, 2016*

**math**

64.1*10^6 / 54*10^4 = 1.19*10^2 = 119 people/mi^2
*May 18, 2016*

**math**

start at 8 each term adds 0.5
*May 18, 2016*

**math**

B and C are both trinomials. Typo?
*May 18, 2016*

**Math**

all the numbers from 1-9 can be formed from the 1st five terms. All multiples of 10 can be formed from the geometric terms (basically just a scaled binary sequence). With that, all the gaps between the tens can be filled with the units.
*May 17, 2016*

**Math (pre-celc 12)**

why would you add denominators? These are still just fractions. 1/x = x/(3x+18) multiply by x(3x+18) 3x+18 = x^2 ...
*May 17, 2016*

**ms sue?**

.22 + .46 - .10 = .58
*May 17, 2016*

**Algebra 1**

The first thing I'd do is multiply by 3 to clear all the fractions: 4s - 9 < 3s + 2 - s 4s - 9 < 2s + 2 2s < 11 s < 11/2
*May 17, 2016*

**integral calculus**

∫[0,2] 5x - 5x^2/2 dx
*May 17, 2016*

**calc**

3ln2 = ln 2^3 = ln8 by definition, e^lnx = x ln(e^x) = x ln and e^ are inverse functions
*May 17, 2016*

**calc**

ln(1/25) = ln(5^-2) = -2 ln(5) e^(3ln2) = e^(ln8) = 8
*May 17, 2016*

**Calculus question ?**

nope - just a vertical one
*May 17, 2016*

**word problem math**

forget all those decimal points. p+n+d = 9 p+5n+10d = 53 n = d-2 now just solve for p.
*May 17, 2016*

**math**

a = kbh a/bh is constant, so you want a such that a/(20*15) = 200/(25*16)
*May 17, 2016*

**Grade 12 Calculus and Vectors**

If the dimensions are x and y, then xy = 432, so y = 432/x If the shared side is y, then the cost for our homeowner is c = 2x + y + y/2 = 2x + 3/2 y = 2x + 648/x we want minimum cost, so dc/dx = 2 - 648/x^2 dc/dx = 0 when x = 18 So, the garden is 18x24, with the 24' side ...
*May 17, 2016*

**Algebra II**

a 90° clockwise rotation takes (x,y) -> (y,-x) review your rotation matrix definition.
*May 17, 2016*

**Geometry**

no idea. what is the relation between the two figures?
*May 17, 2016*

**Math/algebra**

what about the formula do you not understand? There are many handy online calculators that you can use to check your answer.
*May 17, 2016*

**maths**

2sin(180°+x)sin(90°+x)/cos^4x-sin^4x 2(-sinx)(cosx)/(cos^2x-sin^2x)(cos^2x+sin^2x) -sin2x/cos2x -tan2x
*May 17, 2016*

**math**

a = -2 r = -2 T20 = ar^19 = 2^20 = (D)
*May 17, 2016*

**Math**

correct
*May 17, 2016*

**Math**

the degree is just the highest power of the variable.
*May 17, 2016*

**Math**

sounds like the prism is 19x6 by 2 so, there are two bases and two pairs of rectangular lateral faces. It's just a box, and you only have to add up the two areas of the rectangles.
*May 17, 2016*

**Calculus**

x+y = 10 p = xy = x(10-x) = 10x-x^2 dp/dx = 10-2x max p at x=5 what a surprise...
*May 17, 2016*

**math**

well, is y/x constant? 40/2 is not 20/5 is xy constant? 2*40 is not 5*20 so, neither direct nor inverse. of course, you could have just tried some values in the various choices to check them...
*May 17, 2016*

**Math**

not sure what tools you have for estimating polynomial roots, but the signs of the quotient from synthetic division tells you that they are all between -2 and 4. Other than that, some numeric method will have to provide better precision.
*May 17, 2016*

**Algebra**

note that each term increases by 5
*May 17, 2016*

**math**

if price is p and cost is c, then normally, p = 1.8c If c increases by 20%, then 1.8c - 1.2c = 0.6c that is, the profit has changed from .8c to .6c, or a decrease of 25%.
*May 17, 2016*

**Math**

7n-3 = 2n+12 7n = 2n+15 5n = 15 n = 3
*May 17, 2016*

**Science**

figure that all the PE has changed to KE
*May 17, 2016*

**math**

for a given perimeter, the largest area is enclosed by a square. That is, all 4 sides are equal...
*May 17, 2016*

**Applied calculus**

you need Fx = 0 and Fy=0 for a max, so -4x^3 + 2y = 0 -4y^3 + 2x = 0 max f=1/2 at x = y = ±1/√2
*May 17, 2016*

**calculus**

z = 1250ln(yx^2)+45(y^2+x)(x^3 -2y)-(xy)^1/2 if x is fixed, dz/dy = 1250/y + 45(2y)(x^3-2y) + 45(y^2+x)(-2) - (1/2)(x)(xy)^(-1/2)
*May 17, 2016*

**calculus**

copy/paste font problems garbled the post
*May 17, 2016*

**calculus**

well, the distance traveled by the boat is found using d = 280 cot25° - 280 cot 65° speed = distance/time
*May 17, 2016*

**Maths**

1/T = 1/60 + 1/30 + 1/15 = 7/60
*May 17, 2016*

**maths**

1991 is 4 years from 1987, so the projection is (in billions) 5 * 1.02^4
*May 17, 2016*

**Math**

multiply the ratio by 9 and you have 45:18
*May 17, 2016*

**math**

using similar triangles, you can see that PH/4 = 18/PH PH^2 = 72 PH^2 + PF^2 = 18^2 PL/4 = PF/PH
*May 17, 2016*

**Percent of loss**

523.20 * .192 = ?
*May 17, 2016*

**Geometry**

multiply the ratio by 24/5 and you have 72/5 : 24 or 14.4:24
*May 16, 2016*

**science**

you are reducing the molarity by a factor of 3, so you need to increase the volume by a factor of 3. 1/3 acid and 2/3 water don't add the acid to the water!
*May 16, 2016*

**Algebra**

it lands when h=0. So, just solve the quadratic the way you do normally.
*May 16, 2016*

**science**

how long does it take to fall? 4.9t^2 = 30 now use v = 9.8t to get the speed.
*May 16, 2016*

**Physics**

it might be, but probably not.
*May 16, 2016*

**math**

I suspect a typo. The line from (2,0) to (2,8) is vertical. So, all the other lines must also be vertical or horizontal. They are not. and I think you meant "vertices" of a square...
*May 16, 2016*

**physics**

unless you have some idea of the mass of the galaxy, you are stuck. Once you have that, just divide by the sun's mass to see how many "suns" there are in the galaxy.
*May 16, 2016*

**Math**

just add up the changes x + 12 + 3 = 44
*May 16, 2016*

**math**

well, how many tiles will it take? multiply that by the cost of each tile.
*May 16, 2016*

**maths**

start with the sum-to-product formula: sin(√(x+h))-sin(√x) = 2cos((√(x+h)+√x))/2)sin((√(x+h)-√x)/2) or, try substituting u = √x sin(√x) = √x sin(√x) / √x = u * sin(u)/u and you know that lim sin(u)/u = 1
*May 16, 2016*

**Geometry**

the distance between those two points is √125 The equation is (x+4)^2 + (y+3)^2 = 125 You have mangled the question somehow. None of the equations has the correct center or radius.
*May 16, 2016*

**maths**

Try that again so it makes sense.
*May 16, 2016*

**Mech. Engr./Dynamics/Physics/Math**

well, you can start with the observation that the horizontal velocity is constant at v0 * sinθ Now just figure the time needed for each hop, and see if the ball travels enough to skip a step or hit it twice. Of course, you will need to have data on the height and width of...
*May 16, 2016*

**mathematics**

if they are the sides of a hexagon, the just add them up.
*May 16, 2016*

**Math**

all correct
*May 16, 2016*

**math**

7.5" = 10' 10.5" = 14' 10x14 = 140 ft^2
*May 16, 2016*

**Math**

review your basic trig functions. Draw a diagram, and you can easily see that cosθ = 1.5/6
*May 16, 2016*

**Pre-Calc College**

the fraction left after t minutes is (1/2)^(t/29) so, after two hours (120 minutes), the fraction left is 1/2^(120/29) = 0.0568 To find how log it takes to get to 10mg, 650(1/2)^(t/29) = 10 (1/2)^(t/29) = 1/65 t/29 = log(1/65)/log(1/2) = 6.022 t = 174.65 or, almost 3 hours ...
*May 16, 2016*

**Maths**

100000cm = 1km so, the scale is 1cm : 1km that should help
*May 16, 2016*

**math**

the integers form an arithmetic sequence, with a = 1 d = 1 So, the sum of the 1st 1000 integers is 1000/2 (2+999) = 500500 This is just an illustration of what Gauss figured out as a kid. You can pair up the numbers starting from the ends 1+1000 2+999 3+998 ... 500+501 There ...
*May 16, 2016*

**math**

since they are equal, 2x = 100
*May 16, 2016*

**Trigonometry**

Draw a diagram, then take a look at the cot function and you will see that h cot21° - h cot32° = 75
*May 16, 2016*

**math**

If their digit's number means the sum of the digits, then there are lots of them. But if since a quotient is only defined for two numbers, that implies that the number is a 2-digit value. I can't think of any two digits whose quotient is 20 and whose sum is 11. I ...
*May 16, 2016*

**Math**

x = y-13 x = 3/4 y x=39 y=52
*May 16, 2016*

**Math**

4(n-1) = 12 n-1 = 3 ...
*May 16, 2016*

**maths**

If one part is 2/7 of the other, then we can divide 54 into 9 parts such that each is 6. Now we see that the two parts are 2*6 = 12 7*6 = 42 12 is 2/7 of 42
*May 15, 2016*

**Integral calculus**

As a check, the theorem of Pappus says that the volume is the area times the distance traveled by the centroid, which is 9π*6π = 54π^2.
*May 15, 2016*

**algebra/trigonometry**

the easy way is to remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2 You have a long side of 75, so the other two sides are 75/√3,75,150/√3 The string is the long side. Or, using trig, the length of the string, x, is found using 75/x = ...
*May 15, 2016*

**Math**

If we let x = weight of camera y = weight of lock z = weight of crown we have x+y=330 x+z=670 y+z=470 now just solve for x,y,z
*May 15, 2016*

**Algebra**

Usually the dependent variable is on the left side. Its valye depends on the expression on the right side. The equation tells how to calculate the result of assigning a value to x.
*May 15, 2016*

**Math**

Assuming they paid the tip on the price after discount, then each paid 97.38*0.65*1.18 -------------------- = $18.67 4
*May 15, 2016*

**mathematics**

9/9^2 = 15/x^2
*May 15, 2016*