Friday
August 1, 2014

Posts by Steve


Total # Posts: 24,064

math
h/100 = tan 24

Algebra 1--Please, help me!
#1 we have n calculators that cost c each. Since nc = k is constant, 24*60 = 80n #2 Actually, the cost must be a positive integer divisor of 75, since the number of packages must be an integer. #3 well, you have the formulas, and you want the ratio scone/scyl = (πrl + ...

geometry math help
(a) two layers means 24 cans per layer. The cans are 10 cm across, so the 46x60 dimensions of the box allow for that many cans. The height of the box will accommodate the two layers. (b) You know the way to compute the volume of the box. Now, just subtract 48 times the volume ...

math
no idea. what does the pattern represent? How many more terms are to be considered? Ans why the ?? marks around the 20?

trigonometry
the angle is x, where sin x = 50/120

business math
just askin', but did you complete the table?

business math
just solve 2.903 t - 1.98 = 18 when you get t, add that to 2000 such bogus wordage. 4 <= t <= 9 is the condition.

Cosine Law
At 12:00 the hands are together After h hours, the hour hand has gone h/12 * 360 degrees After m minutes, minute hand has gone m/60 * 360 degrees 9:30 = 9.5 hours :30 = 30 minutes So, the hour hand has gone 9.5/12*360 = 285° and the minute hand is at 180° So, the angle...

Cosine Law
sinB/b = sinC/c that will get you B Then A+B+C=180 gets you A a^2 = b^2+c^2 - 2bc cosA gets you A. Then, b/sinB = c/sinC = a/sinA gets you A and B

3D Shapes & Scale
a 2m cube occupies 8 times the volume of a 1m cube. I assume the trailer is enclosed, so the volume makes a difference. So, what's 128/8?

trig
h/65 = sin 32

Earth Science Regents!!!
It is clearly #2. Since both observations were made at the same time, the orbit traveled by the planet can have nothing to do with it. Only separate observations at different times could indicate how the earth has moved. If the earth were flat, the star is so distant that all ...

math
well, that's 2(1/2) + 2/5 = 1 + 2/5 = 7/5

more logarithms help!
just plug in your values: 24000(1-0.15)^n = 2500 Now solve for n. First step is .85^n = 2500/24000

logarithm math help
log(x^n) = n*log(x) log(u/v0 = log(u) - log(v) Now go for it.

Math binomial formula and sequence
Almost: C(8,4)(2x)^4(-3)^4 90720x^4 ar^3 = 16 ar^6 = -128 r^3 = -8 r = -2 so, a = -2 a_n = -2*(-2)^(n-1) = -(-2)^n S15 = 15/2 (2*8+14*4) = 540

Math - Ratio
(a) 2.5km/10^4 = 2.5*10^5cm/10^4 = 25 cm .5cm:2.5km = .5:2.5*10^5 = 1:5*10^5 = 1:500,000 Just as a check, the 1:10,000 scale used 25cm, and .5cm is 1/50 of that, so the scale should be 1:500,000

Calculus
If you are assuming a parabola, then a little work will show that the equation is y = ax^2+bx+c 2500a-50b+c = 50 2500a+50b+c = 70 a(-b/2a)^2 + b(-b/2a) + c = 47 y = 1/200 x^2 - 1/5 x + 47 and the vertex is at (20,47) Now, the length of cable is thus s = ∫[-50,50] √...

Math - Logarithms
(a) x^5 = 100, so x = 100^(1/5) (b) I assume you mean 3^(x+5) = 81 we know that 3^4 = 81, so x+5 = 4 (c) log (4x+2)/2 = log 6x the logs are equal, so we just have (4x+2)/2 = 6 I guess you can probably handle that one, eh?

Geometry
review the description of a circle with center at (h,k) and radius r: (x-h)^2 + (y-k)^2 = r^2

Precalculus
4x^2-y^2-24x-10y+11=0 4(x^2-6x) - (y^2+10y) = -11 4(x^2-6x+9) - (y^2+10y+25) = -11 + 4(9) + 25 4(x-3)^2 - (y+5)^2 = 50 Better check to see what you lost while completing those squares.

Algebra 2
a = -2 r = -2 so, T20 = -2*(-2)^19

Math
I also get 1/2 * 1/2 = 1/4 since the two events are independent.

Algebra 2
If the box originally had side s, then the new box has side s-6, since 3" was cut off each corner. The height of the box is just the 3" that was cut off. So, s(s-6)^2 = 675 Now, just by inspection, 675 = 3*225 = 3*15^2 So, the box now has sides of 15, and height=3 Th...

Math - eh?
since T3 = T1 * r^2, r = 3 No idea what "124 of the fifth" means

Math - Linear Equations
T = k√L so, T/√L is constant. (a) .63/√9 = T/√25 (b) .63/√9 = 1.5/√L

Algebra
since time = distance/speed, d/(12-5) + d/(12+5) = 3 now just solve for d. Assuming the round trip takes 3 hours.

Algebra
Assuming they both work the same time, Alma works 4/3 as fast as Kevin, so she does 4/7 of the work, or 57% Or, you can find how long it takes to do the whole job together: 1/x = 1/4 + 1/3 x = 12/7 So, in 12/7 hours, Alma does 1/3 * 12/7 = 4/7 of the work.

Algebra
they have 1/4 the distance to go. They have walked 3/4, or 3 times that far.

arithmetic
Nice homework dump. Can you show any effort on any of the problems?

Trig
The nth term has 2^-n, so the ratio is 2^-1 = 1/2 Did you try listing the first few terms? That would have made it clear that 2 was not the ratio.

Math - Linear Equations
total trucks: x+y = 8 total loads: 10x + 5y = 70 I expect you can solve that with little difficulty.

Algebra 1--Please, help me!
The question still is poorly worded. What is the "side" of a roof? I expect we are looking at the end of the building, at the cross-section area. The triangle has area a1=b2*h/2 The trapezoid has area a2=(b1+b2)*h/2 The ratio of areas is thus a1/a2 = (b2*h/2) / (b1+b...

Math - Variation
T = kd^4n^2 if we replace n by 2n and d by d/2, we have T' = k(d/2)^4(2n)^2 = kd^4n^2/4 = T/4

geometry
12000/x = sin 32°

HELP MATH !!
correct

HELP MATH !!
If there's a constant term, that just plugs right in. Melanie always has $5.00 for supplies. If there's a cost which is "per" unit, that is the slope of the line. Each new unit adds some fixed amount. Melanie gets $4.50 for each new hour worked. So, y = 4.50x...

algebra
Better recheck your numbers. C is correct. If the attendance was equal 15x + 76 = –x2 + 36x – 4 x^2-21x+80 = 0 (x-5)(x-16) = 0

math
and we have a winner!

Algebra 1--Please, help me!
(a) want a ratio? Just plug in the numbers for a fraction (1/2 b^2 h) / ((b1+b2)/2 h) = b^2/(b1+b2) For (b), just substitute in new values and see how the ratio changes. By the way, having b^2 for one figure and b1+b2 for the other plays havoc with the units. Better check your...

algebra
pick two x values, figure the y values there, and plot the points. Then draw a line between them. Easy points to pick are where x=0 or y=0. 2x = -10y (0,0) is on the line. If x=5, y=-1, so (5,-1) is on the line Plot those two points and draw a line through them. x+5y=3 (3,0) i...

Math - vastly incomplete
!!!

algebra
1/2 is 2/3 as big as 3/4 So, R will be (3/2)^2 = 9/4 * 12 = 27 ohms

Math
you are correct. Just use whatever type of graph you feel most clearly depicts the data collected. Not a frequency table. That is not a graph. It might be a part of the description, though.

math last set up
The angle is θ, where tanθ = (618-10)/90

math
you can play around with these things at http://davidmlane.com/hyperstat/z_table.html

math
Draw a diagram. If the bottom of the balloon is at height x and the top of the balloon is at height y, then x/32 = tan46° y/32 = tan56° The height of the balloon is just y-x, or 32tan56° - 32tan46° = 32(tan56°-tan46°)

Algebra
not sure just what you want. 9C6 = 9C3 = 9*8*7/1*2*3 = 84 6C4 = 6C2 = 6*5/1*2 = 15 3C1 = 3/1 = 3 More formally, 9C6 = 9! / (9-6)!6! 6C4 = 6! / (6-4)!4! 3C1 = 3! / (3-1)!1!

Math - Literal Equations
area of base = 9, so 9*height = 144 height = 16

algebra 2
don't know what f and g are, but (f+g)(x) = f(x)+g(x) plug in your value for x and add the two functions there.

geometry
θ is the angle that has sinθ = 12/452

Geometry Help!!!
I don't see any question here, but if you label the triangle's vertices as PKF, with P as the right angle, then the library sits at L, where ∆PKF ~ ∆LFP ~ ∆LKP You can get the length of PL or FL or KL from those ratios.

math
d/24 = cos 15°

college calculus
or, you can think of it like this: every half-life, 1/2 of what was there is gone. So, the amount left after t half-lives is (1/2)^(t/5730) So, we want t when (1/2)^(t/5730) = .45 t/5730 = log(.45)/log(.5) = 1.152 That is, it takes 1.152 half-lives to reduce to 45% So, t = 1.1...

Math
1000050 - 5*85000 = ?

Calculus
(100*7 + 300*2 + 200*6)/15 = 166.67 It always helps if you show your own work - then it's possible to point out the mistake, if any.

maths
.05*25000 + 275 = ?

CHEMISTRY
Hard to say. If there's an excess of Mg, then the N2 is the limiting reagent. If there's plenty of N2 around, then the Mg limits the reaction.

Language Arts Grade 8
You can find the table of contents at amazon.com: http://www.amazon.com/Popol-Vuh-Definitive-Edition-Glories/dp/0684818450#reader_0684818450

math
.05 * 25000 = ? Since you mention two increases, I'm not sure just what is to be done. I would not expect the COL increase to include the merit increase.

geometry
There is no apothem. Only regular polygons have one. In this case, the lateral area is the three faces of dimensions 3x6, 4x6, 5x6 The volume is v=Bh where B is the area of the base, 1/2 (3)(4)

Algebra 2
If we try to solve this algebraically, we run into trouble. x^2 + y^2 = 1600 x^2 + (1/40 (x-40))^2 = 1600 x^2 + 1/1600 (x-40)^4 = 1600 (x-40)^4 + 1600x^2 = 1600^2 Now, that's a hard one. However, if you examine the two equations, you see that the first is a circle of radiu...

Math please check my answer?
Not B, that's for sure. The x-intercept is where y=0. Plug that in and you get 6x=30 Similarly, if x=0, we get 11y = 30 The values in B are the reciprocals of the true answers.

appliance repair
I guess the context of the subject, the question and its choices would indicate that the class is in electricity or electronics, and not physics. Not much call for Electric Field strength in appliance repair... :-)

physics
conserve momentum: .02*80 = 100v

English
#2. read up on restrictive qualifiers. They don't use the comma.

math
Back to the drawing board. Try 1B 2B 4C 8A 9D are you just guessing here? I'm especially intrigued at #2, since I gave you the answer! It would have helped had you actually shown your work. Then I might have been able to show you where you went wrong.

math
#1. Interesting. 1/5 of 60 is 12. So I'd be interested to know how you figure a 2/5 increase is only $9. #2. Interesting. 4 days at $40/day would only be $160, and she paid less than that. 12.5 cents is about 10% of 380 or about $40 So, an estimate would be about $200. How...

Maths
No, a=2b a+b = 40 2b+b = 40 ?? Not an integer solution Also, you started out saying a=boys and b=girls. Then you say b=2a, but that's not correct. The whole problem looks mishandled.

Algebra
this is just a quadratic, so the max is reached at x = -b/2a = -500/-50 = 10

Math
the new balance is just old balance + finance charge - payment.

Calculus
f(x) = 2x^3 - 3x^2 - 72x + 7 f'(x) = 6x^2 - 6x - 72 = 6(x^2-x-12) f"(x) = 12x-6 = 6(2x-1) f'=0 at x= -3 and 4 f"=0 at x = 1/2 Now it's easy to answer the questions. f is increasing where f' > 0 f is concave up where f" > 0 no asymptotes, so...

Algebra
(9x+1)(2x-3) = 0

Algebra
(1/2)^3

Math
6+2x = 48 Looks like 21 DVDs. Naturally, the total cost would be $48, since the 2nd plan always costs that.

furthermathematics
the horizontal distance is x(t) = u cosθ t The time taken to go 20m is thus t = 20/(u cosθ) The trajectory is y(t) = u sinθ t - g/2 t^2 We know that y=0 at 0 and 20/(u cosθ), so the max height is reached at 10/(u cosθ). So, u sinθ * 10/(u cosθ...

Math 6 gemoetery
Good call, Damon. By rounding down to 90 I neglected the rather sizable underestimate of 2.47 by 2.00.

Math 6 gemoetery
Rounding each value to the nearest single-significant-digit approximation, that would be 90x60x2 I'd choose that instead of 100*60 because in that case both values are rounded up, making the estimate too high.

Algebra
2x+5 > 1 x > -2 So, of the 10 numbers, how many are greater than -2?

math ~dont know all but check some~ pls help!!!
#1 x^2+2x+4 can be written as x^2 + x(2) + 4*1^2 I think that the best choice would be 1 big square, 1 tall rectangle, 4 little squares #2 –3f^2 + 4f – 3 + 8f^2 + 7f + 1 just collect terms of the same power (-3+8)f^2 + (4+7)f + (-3+1) 5f^2 + 11f - 2 #3 (2x^2 + 6x + 1...

maths/permutation and combination
You have to have the 2 or 3 as the first digit. After that, the other 3 digits can be done in 3! = 6 ways. So, the total is 2*3! = 12

Calculus
the gradient is the slope of the tangent to the curve. y' (x) gives the slope of the tangent for any value of x. So, at x=0, y'(x) = 2-0 = 2, so the gradient is 2 at the point (0,2) See the graphs at http://www.wolframalpha.com/input/?i=plot+y%3D2x-x^2%2Cy%3D2x

Calculus
y = 2x-x^2 y' = 2-2x so, where is 2-2x = 2?

maths
these are standard values. plug them in; what do you get?

maths
GRR! PI, not pie! sin pi/6 = cos pi/3 = 1/2 tan pi/4 = 1 so, we have 1/4 + 1/4 - 1 = -1/2 I suspect a typo

Maths
Uh, geez -- I believe I just did. Given two points, find the midpoint of the line connecting them. Find the slope of that line, and take its negative reciprocal. Now you have a point and a slope. Just write the equation of the bisecting line.

Maths
Yes. P and Q cannot be as given. All of the choices have slope 7/4 or -7/4.

Maths
the bisector goes through the midpoint of PQ. That is (-3/2,-3/2) PQ has slope -5/7, so the perpendicular has slope 7/5 Now you have a point and a slope, so the line is y+3/2 = 7/5 (x+3/2) 10y + 15 = 14x + 21 10y-14x-6 = 0 I suspect a typo. If you graph the two lines, you will...

Calculus
dN/N = -k dt log N = -kt N = e^(-kt) Now, we know that the fraction left after t years is (1/2)^(-t/5730) So just use the fact that 1/2 = e^-log2 and you can find k.

Calculus
use discs or shells. v = ∫[0,2] πr^2 dy where r = x or v = ∫[0,√2] 2πrh dx where r=x and h=y

Calculus
a = ∫[0,1] (2x-x^2)-(x^2) dx

Calculus
1/(x+2) + 1/(x-2)

Calculus
u = x : du = dx dv = e^x dx : v = e^x ∫u dv = uv - ∫v du = xe^x - ∫e^x dx I expect you can take it from there.

Calculus
u = x^2-1 du = 2x dx, so x dx = du/2 ∫1/2 u^3 du

fifth grade math
8/15 * 1/4 = 2/15

Calculus - incomplete
what specifications? what were the measurements?

Math 8th gr.
27 - (-9) (-2) ÷ 3 * (-4) - 0 - 33 - (-39) 27 - 18 ÷ 3 * (-4) - 0 - 33 - (-39) 27 - 6 * (-4) - 0 - 33 - (-39) 27 - (-24) - 0 - 33 - (-39) 27 + 24 - 0 - 33 + 39 51 - 0 - 33 + 39 51 - 33 + 39 18 + 39 57

math
-15 - (3-7) + 6 * (-2) + (-8) - 9 -15 - (-4) + 6 * (-2) + (-8) - 9 -15 + 4 - 12 - 8 - 9 -40

math
draw a number line mark it off in units of 1/6 using a different color, mark it off in units of 1/2 You will see that the 3rd mark on the 1/6 line is the same as the first mark on the 1/2 line.

Precalculus
It is true that Reiny's answer has a typo. Recognizing that, fix it and rearrange it into the desired form of the equation.

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