Posts by Steve
Total # Posts: 54,365
Which excerpt from Robert Burnss To a Mouse best conveys understanding and forgiveness? An weary winter comin fast,/An cozie here, beneath the blast <<< Thy wee-bit housie, too, in ruin!/Its silly was ...
I don't get what you wrotegeometry
It's the usual octohedron. 8 faces and so on. check out the Platonic solids.
the solution is all numbers, since every number is either greater than 3 or less than or equal to 3.
If there are m 8-point questions and t T/F questions, you need 8m+3t = 60 m >= 1 and t >= 1 So, clearly m <= 7 since 8*8 > 60 So, just list the possibilities: 1*8=8 and 3 does not divide 60-8=52 2*8=16; 3?44 3*8+12*3 = 60 ok! you might want to check for other ...
another way to do it is to group the group all the flowers on each table, as in (9+3f)t + 12 Now just plug in the numbers 9*21 + (3*3)*21 + 12 = 390 (9+3*3)*21 + 12 = 390
she ate 2/3 of what she had (5/6 cake) or 2/3 * 5/6 = 10/18 = 5/9 of a whole cake
assuming you meant h = 35t-5t^2, then just solve 35t-5t^2 = 50 If you get two answers, then that is because the carpet went up higher than 50 meters, and then came back down. I must say, throwing a carpet up more than 50 meters is quite a feat! Was it shot from a cannon?
Regardless of your answer, 1 and 2 are grammatically incorrect. "what" is a pronoun -- more correct would be "which" to modify the subject. just a pet peeve of mine, like using "if" instead of "whether"
the only pairs of factors of 15 are 1x15 and 3x5
v = dx/dt = 0.0080 + 0.20t
Since the time elapsed is 6 hours, the slopes are (48-58)/6 and (62-67)/6
2/5 x + 12 = 1/2 x Now just solve for x.
PE = mgh, so 51*g*h = 5997.6 You know g, so now find h.
Math/ compound interest
uh, ... 1-10?
Math, algebra, geometry
If the fixed cost is f and the per-pizza cost is p, then we know: c+2p = 17 c+4p = 31 now subtract and you see that 2p = 14 now you can find p, and then c. The five pizzas cost c+5p
the middle bead is #9. So, you have two AP's of 8 terms each, plus the middle bead. That means that 2(8/2 (2+7))+ x = 100 x = 28
4 ft = 48 in, so the scale is 1:48 The areas are in the ratio 1:48^2 = 1:2304
n/(2n+5) = 1/3 Now just find n and thus the fraction
30% of 600 = 180 180+5n = .40(600+5n) Now just find n and thus 5n.
#1 Huh? 1:6/12 = 12/6 = 2 How does that relate to what they said? You need to set the words to math: (d-6)/d = 3/4 4(d-6) = 3d 4d-24 = 3d d = 24 check: 18/24 = 2/3 yes. As with most skills, with a little practice it gets easier. #2 n/(2n+5) = 1/3 3n = 2n+5 ... #3 Since 2 and 5...
a slightly less flexible but much simpler interface is at wolframalpha.com just type in your function and it takes care of the rest
74 = 8*9 + 2
AP Calculus Help
v(t) = dr/dt = (1-(1/2)sin(t/2),-3cost) Now just plug in your t value: v(?) = (1-(1/2)(1),-3(-1)) = (1/2,3)
1.6% = 0.016 so, 0.016h = 1.77 h = 110.6 meters This represents the actual height. No idea what the "usual" height is ...
math - impatient much?
Reposted after only 12 minutes?
Please Help! Calculus
v(t) = dr/dt = (-2t,6) (0,12) is on the curve, so at that point, t=2 so, that means v(2) = (-4,6) |v| = ?(16+36) = 2?13
You are told that g = 3p 10g+20p=175 so, 10*3p + 20p = 175 50p = 175 p = 7/2 g = 3p = 21/2 2g+8p = 2(7/2)+8(21/2) = 88
Just plug in the numbers. 3?5 = (7-3)(3+5) = 32 5?c = (7-5)(3+c) = 6+2c so, 32 = 6+2c c = 13
clearly, that will be 1500 * 1.02^4
99 + 112 + c >= 415
in a triangle, it is the line from a vertex to the midpoint of the opposite side.
How long does it take the water to hit the ground? 4.9t^2 = 0.75 t = 0.3912 seconds so, the horizontal speed = 2m/.3912s = 5.11 m/s
First plot the curves. They intersect at (3/2,?/3) and (3/2,-?/3) So, let's just take twice the area for ? in [0,?/3] Now just plug in the functions. The area is ?[0,?/3] (1+cos?)^2 - (2-cos?)^2 d? = ?[0,?/3] 6cos?-3 d? = 3?3 - ?
well, 120 = 2*2*2*3*5 Just pick 3 sets of factors from those combinations
Small changes differentiation
taking derivatives, you have dT = ?/?(gL) dL Now, to find the % change of T, you take dT/T You would expect it to be about 1/2 the change in L, since you have roughly T^2 = kL 2T dT = k dL
4 Calculus Related-Rates Problems
These are all just applications of the chain rule. If y is a function of u, and u is a function of t, then dy/dt = dy/du * du/dt So, now we see what do do: #1 v=4/3 ? r^3 dv/dt = 4?r^2 dr/dt dr/dt = 15/(4?r^2) As expected, if the volume changes at a steady rate, the bigger the...
1x(4) - 8x9/-3 1*4 - 72/-3 4 - (-24) 28
Math 6th Grade
when a problem says "of" that means multiply 1/2 of a dozen = 1/2 * 12 = 6
just do the usual derivative: v(t) = z'(t) = -16.2tk and evaluate at t=3 and t=6 works the same if there are i and j components as well.
there are two lengths and two widths, so the perimeter is 13+7+13+7 = 40 2(13+7) = 40 inches
can't draw flowcharts here. However, the logic might look like this: define n as a 10-number array sum = 0 i=1 ask for number assign it to n(i) add it to the sum increase i i <= 10? yes, go back to ask again no, print the sum quit
Maths - huh?
you wanna try that again so it makes sense?
31 are boys so, 31/50 are boys. Just turn that into a %
he makes it 2 meters forward every second. So, after 29 seconds, he has gone 58 meters. He makes it out in the 30th second. (29 2/3 seconds, actually)
I assume you mean the 5th term is 5. You don't even have to find the 1st term, a; just start at 5 and go backwards, adding 3 each time: 17,14,11,8,5 If you want to do it algebraically, of course, just realize that the 5th term is a+4d = a+4(-3) = 5 a-12 = 5 a = 17
If by 25/2% you mean 12.5%, then 500 * 1.125 * 1.15 = ?
since the ratio of sides is the same, 9/5 = x/4
I think this will be a good place to start. The answer is given, and you can surely find your way there. https://books.google.com/books?id=uwDfHbyl1IMC&pg=SL22-PA420&lpg=SL22-PA420&dq=Find+the+equation+to+the+cone+whose+vertex+is+the+point+(a,b,c)+and+whose+generating+lines+...
probably the intersection of the first two planes.
m+r = 338 m+49 = r/2 m+49 = (338-m)/2 m = 80 check: Minah had $80 and Rohana had $258 Later, Minah had 80+49 = $129 and Rohana had 258/2 = $129
p = 2g g = p-20 now just solve for p and g.
f(x)=3.8cos(?x20)+2.2 cos(x) has a minimum value of -1 so, f(x) has a minimum value of 2.2 + 3.8(-1) = -1.6
Educational Technology and Online Learning 7
copyright is for published material. which of the choices does not fit that category?
no way to tell what is his mass? what is his weight on earth? something, eh?
time for the carbon would be dilated, or slowed by the usual relativistic factor. So, multiply the half-life by that.
Draw the triangle in QIV so that r = 3 x = 2 y = -?5 tan? = y/x = -?5/2 ...
well, your equation has a typo (it has two = signs, and that 84x cannot be right!). Aha -- it appears that you have duplicated the equation 4x-3y = 8 Clearly (1,4/3) does not fit, but (1,-4/3) does work, since 4(1)-3(-4/3) = 4+4 = 8 4(3/2)-3(-2/3) = 6+2 = 8 4(-4)-3(-8) = -16+...
It's easy if you (a) draw a diagram (b) review your trig functions Then it's clear that if the height is h, h cot17° - h cot20.9° = 928 Now just find h.
because (a+b)^2 ? a^2 + b^2 sqrt is not a linear operator
correct, if ?5 is one of two bisectors of ?1. Of course, you don't give much context, do you?
Of course, it is not possible to make a "complete" graph of a parabola on finite graph paper. If y = x^2-2x-8 then clearly the y-intercept is -8, since that's what you get when x=0 x^2-2x-8 = (x-1)^2 - 9 So the vertex is at (1,-9), which is the lowest point on ...
draw the triangle. Review your basic trig functions: opposite = ?11 adjacent = 5 hypotenuse = 6 csc = hypotenuse/opposite
if you mean the recoil speed, then just conserve momentum (mv) 6v = 0.025*615
check to be sure you don't want 3 + 9 + 27 + 81 + 243 4 + 16 + 64 + 256
no problem. How about asking an actual math question?
work = force * distance so, how far did he move?
Well, revenue must equal costs, so if they sell t tickets and f fans get free bats, we have 4t + 1200 = 2100+1900+3f
s = ?[0,2] ?((18t)^2 + (18t^2)^2) dt = ?[0,2] 18t?(1+t^2) dt = 6(5?5 - 1)
if the interval is [a,b] and there are n equal subintervals, then the ith x value is a + i times the subinterval width, less 2/3 of that width. xi = a + (b-a)/n * i - (b-a)/n * 2/3 = a + (b-a)/n * (i - 2/3) and the sum is as usual n ? f(xi)*(b-a)/n i=1
6n + 4*2n = ?
(a) ?x | A(x) any ideas on the others?
1/2.5 = 15/x x/2.5 = 15 x = 2.5 * 15 ...
the triangles are congruent. This is in fact almost the definition of congruent. Take a look at your text. two triangles are similar if their angles are equal. Also, they are congruent if their sides are equal, as described above.
I'll work with a vertical axis, just because it makes me more comfortable with the derivatives. For y = x^2/4 (x^2 = 4y), at x=a, the slope is x/2, so the normal has slope -2/a For y = x^2+k, at x=b, the slope is 2b, so the normal has slope -1/(2b) So, the equations of our...
Eh? How can two parabolas with a common vertex and a common axis of symmetry have two distinct normals? This should get you started... https://math.stackexchange.com/questions/524130/common-normal-parabola-problem
The four points are (0,b),(?b,0),(0,-b),(-?b,0) Now use your favorite method to find the base length and altitude, or sides and angles, etc. to find the area of the rhombus.
what you do is translate so that the desired point becomes the origin. Then rotate as usual, and undo the translation afterwards. Each of these operations can be described using a matrix, and the whole shebang can be performed at once by using the product of the three matrices...
correct. y = -x^3, which is a polynomial, not an exponential.
since PV=kT, if T is constant, then P and V are inversely proportional. Halving the pressure doubles the volume.
|x| + 5 = 18 |x| = 13 x = ±13 |x+3| < 5 x+3 < 5 if x >= -3 x < 2 so, -3 <= x < 2 or x+3 > -5 if x < -3 x > -8 so, -8 < x < -3 result: -8 < x < 2 |-3n|-2 = 4 |-3n| = 6 |3n| = 6 since |-3n|=|3n| 3n = ±6 n = ±2
(e + 1/e)^4 = e^4 + 4e^3/e + 6e^2/e^2 + 4e/e^3 + 1/e^4 = e^4 + 4e^2 + 6 + 4/e^2 + 1/e^4 for the 2nd one, since the terms alternate in sign, every other term cancels out, leaving just 2(e^4 + 6 + 1/e^4)
if wire 2 is 9, and wire 3 is x, then we have 9 = 2x-3 x = 6 the perimeter is just 5 + 9 + 6 = ?
math - trig/pythagoras
x^2 + (2b)^2 = (6b)^2 x^2 + 4b^2 = 36b^2 x^2 = 32b^2 x = 4b?2 Now recall that area = bh/2 and just do the multiplication
1) m = 6t m+20 = 2(t+20) 6t+20 = 2t+40 t=5 So, Mary is 30 in 20 years she will be 50, which is 2*25 2)5W = 2*10W = 4*15W = 8*20W 3) makes no sense, either the question of the answers
taxes: 40% of 50000 = 20000 So, they had 30000 left to spend In 1994 they spent of their $40000 Others-10000 Food- 4000 Housing- 10000 Total: 24000 That leaves 6000 for savings
Math - Need Pattern
ummm, which pattern?
Alg 1 -Further explanation PLEASE
If the points given are those of P(x), then f(x) has the same values, with the exception of (1,-3). f(x) contains (1,3) since |-3|=3, and the range of f(x) is all the distinct values of y.
ah, actually I misspoke. Since 3+2i is also a root, we have p(x) = (x-(3-2i))(x-(3+2i))(x-a) = (x^2-6x+13)(x-a) So, now just solve for a: p(0) = -13a = -52 a = 4 p(x) = (x^2-6x+13)(x-4) = x^3-10x^2+37x-52
peter is 30 lbs lighter than john. So, j + j-30 = 235 Odd; I expected an integer answer... as for the polynomial, who knows? I see no question there. And LaTex doesn't do well here. And p(x) cannot be monic with real coefficients and have a complex root.
x^(3/2) = x^(1 + 1/2) = x * x^(1/2) = x?x so, 20^(3/2) = 20?20 = 40?5
1200rev/min * 2?/rev * 1min/60s = 40?Hz 40?Hz * 3s = 120?*6cm = 720?cm
or, convert all to decimals. Then it is easy to see.
So, with limits a and b, that will be n-1 ? f(a+(i + 1/3)*(b-a)/n)*(b-a)/n i=0
one way is to check the lengths of the sides. Call the longest c, and the others a and b. If c^2 = a^2+b^2 then you have a right triangle. For example, GH^2 = (3+2)^2 + (-1-1)^2 = 29 Now fin the other side lengths Another way is to find the slopes of the sides. If two of the ...
assuming the diagonals are equal, 3x+2 = 5x-8 x = 5
r^6 = 39366/54 = 729 = 3^6 a = 54/3^2 = 6 ... for the factorials, just use any online calculator. geez.
Note that since 8 = 2^3, 8a^-3 = 2^3/a^3 = (2/a)^3 so, (8a^-3)^-2/3 = (a/2)^2 = a^2/4 You are done, and you are correct.
well, you know that 1 ft = 12 in 1 yd = 3 ft = 36 in So, just do the math
the nth term is (1 + .07/12)^n after 5 years, the balance is thus 25000(1+.07/12)^(12*5)