Friday
April 29, 2016

Posts by steve

Total # Posts: 40,006

Math
If x gallons of apple, then 2x + 3.50(10-x) = 26
March 29, 2016

geometry
C = 180-55-44 = 81 Since AB is side c, the law of sines tells us that AB/sinC = b/sinB Now just plug in your numbers.
March 29, 2016

Geometry
Check your formula for the area of a cone. A = πr^2 + πrs where s is the slant height: √(r^2+h^2) So now, just plug in your numbers.
March 29, 2016

Math
lots of resources online. Google is your friend.
March 29, 2016

math
78 / 9 x 3 + (6 - 9) 78 / 3 + (-3) 26 - 3 23 Note that I did (1/9 * 3) first, due to the fact that 78/9 is not an integer, but 78/3 is. (78/9)*3 = (78*3)/9 = 78*(3/9) = 78/3
March 29, 2016

Check My Answer! :)
If the height of each triangular face is 4, then the area including base is 36 + 4*6*4/2 = 84 without the base, it's 48 If it is 5, then the area is 36 + 4*6*5/2 = 96 without the base, it's 60 So, you can see that much important information has been omitted. The answer...
March 29, 2016

Check My Answer! :)
what is the difference between altitude and height? 144 = 36 + 4*27 I can't "square" that with the dimensions given, assuming the base is 6x6. So, what's the difference between the height and the altitude?
March 29, 2016

Calc 2
If you want an explicit function, then you are correct.
March 29, 2016

Calc 2
du/dt = (2t + sec^2(t))/(2u) 2u du = (2t + sec^2(t)) dt u^2 = t^2 + tan(t) + c 16 = 0+0+c u^2 = t^2 + tan(t) + 16
March 29, 2016

Calc 2
yes.
March 29, 2016

Calc 2
dy/dx = x/y y dy = x dx y^2 = x^2 + c 49 = 0 + c c = 49 y^2 - x^2 = 49
March 29, 2016

Math
LCM(44,56) = 7*8*11 So, there will be 14*44 by 11*56 = 616x616 mm, using 14*11 = 154 tiles
March 29, 2016

Mathematics
so, did you do it?
March 29, 2016

Math
S150 = 150/2 (2*15 + 149*2)
March 29, 2016

physics
If I understand conservation of energy correctly, if her weight is mg, then the loss of PE going from 2m to 1m is mg Joules. So, since that is converted to KE, we have mg = 1/2 mv^2 2g = v^2 v = √19.6 m/s
March 29, 2016

Calculus
You have to remember what the derivatives mean. To start with, your derivatives are incorrect: f = (2x+2)/(x-2) f' = -6/(x-2)^2 f" = 12/(x-2)^3 Fortunately, this small error does not affect their properties in any relevant way. Now, local max/min are where f'=0 ...
March 29, 2016

Business Math
If x is at 5%, the rest (98000-x) is at 10%. So, just add up the interest: .05x + .10(98000-x) = .08(98000)
March 29, 2016

permutation
8P5 = 8*7*6*5*4
March 29, 2016

Math
cos(x)
March 29, 2016

mathematics
that would be u•v×w = |3 -5 1| |0 2 -2| = 36 |3 1 1|
March 29, 2016

Math
well, just add up the numbers.
March 29, 2016

math
9:50 to 10:00 = 10 minutes 10:00 to 10:45 = 45 minutes so, just add it up for the cassettes, subtract to see how much total was spent. Since it was for 2 cassettes, divide by 2 to get each one's cost: (20.00-2.04)/2 = ?
March 28, 2016

maths
x^a * x^b = x^c so, x^b/x^c = 1/x^a similarly, y^c/y^a = y^b y/x = z/y (x^b/x^c)× (y^c/y^a)× (z^a/z^b) = 1/x^a * y^b * z^a/z^b = (y/z)^b * (z/x)^a = (x/y)^b * (y/x)^2a = (x/y)^(b-2a) Now, since b-a = c-b, 2b=a+c b-2a = b-a + b-c = 2b-(a+c) = 0 (x/y)^0 = 1
March 28, 2016

Alam
After t1 seconds, v = x*t1 s = x/2 t1^2 after t-t1 more seconds, s = (x*t1)(t-t1) - y/2 (t-t1)^2
March 28, 2016

Calc 2
What is the shaded area?
March 28, 2016

Math
Let O be the center of the circle. Let the chord be labeled QR. Draw a radius bisecting the chord at P. Draw radii OQ and OR. Now you have a right triangle OPQ with OP=6 and OQ (the hypotenuse) = 10. So, PQ = 8 and the chord QR = 16
March 28, 2016

C++
first step: try compiling the code. What errors do you get?
March 28, 2016

C++
#1 If x and y are numbers, then &x and &y are their addresses. So, False. #2 If x and y are pointers, then since they point to the same thing, the values pointed to are equal. So, True.
March 28, 2016

Math
Looks like 100 to me. No smaller number is a multiple of 4,10,25.
March 28, 2016

maths
40 / (2/3) = ?
March 28, 2016

maths
you seem to know the formula. What do you get? We'll check it for you.
March 28, 2016

Math
use google to search for math word problem on rates and ratios and you will get lots of examples and discussions.
March 28, 2016

Physics
You know that F = GMm/r^2 so, what happens to F if r is replaced by r/2? F' = GMm/(r/2)^2 = 4GMm/r^2 = 4F use the same technique when replacing the other quantities.
March 28, 2016

physics steve or damon help!!!!
You know the rock is falling for 3 seconds. Why? (the horizontal speed is constant) So, how far does it fall in 3 seconds? h = 1/2 at^2
March 28, 2016

Algebra
You specify no distance, so let's work with the per/km cost. For x trucks of A and y trucks of B, you want to minimize c=30x+40y subject to 20x+30y >= 3000 40x+30y >= 4000 Now crank out the vertices.
March 28, 2016

math
what, got no calculator? Post whatcha got, and we can check it.
March 28, 2016

math
55/1320 = tan x
March 28, 2016

math
h/35 = tan40
March 28, 2016

math
for m miles, you want 0 + 0.90m = 50 + 0.70m
March 28, 2016

algebra 2
How much of a house can they paint in a day? 1/4 + 1/3 = 7/12 So, at 7/12 house per day 105 / (7/12) = 180 days = 36 weeks
March 28, 2016

Trigonemtry
Draw a diagram. Review your basic trig functions. The shadow's length x is found by x/100 = cot 25°
March 28, 2016

algebra
If the width is w, and the length is x, then w*x*(3/4) = 48 wx = 64 The only integer factors of 64 greater than 2 are 4,8,16,32 So, the base of the prism must be 4x16 Of course, if integer values are not required, any number greater than 2 will work as the width, as long as ...
March 28, 2016

Math
Don't you think you need some data on the expected lifetime of the units?
March 28, 2016

math
the amount is x-y as a fraction of the salary, (x-y)/x
March 28, 2016

Geometry
Only for the coordinate planes. Slanted planes produce other results.
March 28, 2016

math
well, how many of the cards are diamonds or 6's?
March 28, 2016

math
8 of the 52 cards are jacks or twos. So, ...
March 28, 2016

math
clearly (i) is binary op, since rationals are closed under multiplication and addition. (ii) is not, since x.y might produce a value not in [0,pi]. For any value xy in[pi/2,pi], cos(xy) < 0, so is not in the domain. I think you can answer the other questions: is a.(b+c) = a...
March 28, 2016

math
For a discussion with examples, take a look here: http://www.solitaryroad.com/c138.html
March 28, 2016

Maths
clearly n=0 is the only solution.
March 28, 2016

Maths
if you are using base 10, then log x^3 = 1/2 3 logx = 1/2 logx = 1/6 x = 10^(1/6)
March 28, 2016

Math
√850 = 29.15 so, she can tile a 29x29 countertop subtract 29x29 from 850 to get the remainder.
March 28, 2016

physics
you know that with initial velocity v and acceleration a, s(t) = vt + a/2 t^2 so, 5v + 25a/2 = 80 10v + 50a = 80+180 v=6 and a = 4 check: s(t) = 6t + 2t^2 s(5) = 6*5 + 2*25 = 30+50 = 80 s(10) = 6*10 + 2*100 = 60+200 = 260 = 80+180
March 28, 2016

Calculus
you don't have to change back to x. Just use horizontal strips instead of vertical ones. Using symmetry, your area is just twice the area in [0,π/4] and since it's also symmetric horizontally, it's twice the area between the y-axis and the curve. a = 4∫[...
March 28, 2016

Calculus
well, is it continuous? Clearly yes, so the IMT is satiisfied.
March 28, 2016

Calculus Urgent
It's not surprising that the two curves are so close. As you learn about functions, you will come across the Taylor Series. Any function can be approximated over a limited domain by a polynomial. This is handy, because polynomials are well behaved. Anyway, you will find ...
March 27, 2016

physics
google is your friend.
March 27, 2016

math essentials
well, whatever the factor, if it is x, then the area is reduced by a factor of x^2. xL * xW = x^2(LW)
March 27, 2016

math
?? Don't forget your basic Algebra I skills now that you're in trig. y = 2arcsin(x-5) y/2 = arcsin(x-5) sin(y/2) = x-5 x = sin(y/2)+5
March 27, 2016

Algebra
well, how far did she go altogether on the first 3 days?
March 27, 2016

Math troubles
Hmmm. I got .08789 + .01465 + .00097 = .10352 Looks like you have some problems. Make sure you are calculating your binomial coefficients correctly.
March 27, 2016

Math troubles
First off, no probability can be more than 1, so you calculations are off. P(x=3) = 5C3 .25^3 .75^2 P(x=4) = 5C4 .25^4 .75^1 P(x=5) = 5C5 .25^5 .75^0 Having gotten those, yes, you add them up.
March 27, 2016

math
google is your friend.
March 27, 2016

maths
well, shucks -- what are cos(pi/3) and cos(pi/4)?
March 27, 2016

math @Reiny
The problem as stated above does not mention draining. However, your answer is one of the choices, so I guess his posting today was garbled.
March 27, 2016

math
None of those. the 4 gal of 25% antifreeze contains 3 gal water 1 gal antifreeze So, you need 2 more gal of antifreeze to make the result 50% algebraically, .25*4 + 1.00 x = .50(4+x)
March 27, 2016

math
600 * .30 + 300 * .60 = (300+600)x
March 27, 2016

math
20% of 36, of course
March 27, 2016

Math
Review your basic trig functions: the vertical height is y/120 = tan10° the distance walked is z/120 = sec10°
March 27, 2016

computer
I'm holding my flowchart up to the screen. Take a look. the algorithm is for n = 2 to 20 step 2   print n next n or, if you don't like for loops, i=1 n=2 NEXTI: print n n = n+2 i = i+1 if i <= 10 go to NEXTI stop
March 27, 2016

calculus2 - eh?
you want to try that again in complete sentences? The fragment when the casting temperature 1200 o C is bogus If this is a linear heat increase, no calculus is needed. If not, what model are you using?
March 27, 2016

Progression
we know that since b-a = c-b, x^c/x^b = x^b/x^a and the same for y and z. Try starting with that.
March 27, 2016

science
recall that the height h is h(t) = (500 sin30°)t - 5t^2 Now just find the vertex of that parabola.
March 27, 2016

math
the nature is easily found from the discriminant, B^2-4AC.
March 27, 2016

calculus
you know that |t-1| has a minimum at t=1, so 1-|t-1| will have a max there. Now just find the values at -9 and 6 and select the max and min
March 27, 2016

calculus
draw a diagram. Here is where implicit differentiation comes in handy. at the moment in question, the boat's distance x from the dock is 8 ft. The length of rope z is found by z^2 = x^2+8^2 so x^2 = z^2-64 x = √(z^2-64) Now start taking derivatives. The velocity and ...
March 27, 2016

calculas
just use the chain rule to get 18x + 128y y' = 0 Now just solve for y' and that's implicit, not explicit.
March 27, 2016

math
64*13 + 28
March 27, 2016

maths
so, did you draw the graph? Font problems in my browser caused your function to be garbled. Try typing it in, rather than copy/paste.
March 26, 2016

Math
well, it's the same as the probability of NOT choosing a green ball.
March 26, 2016

Pre Calculus
well, since profit is revenue less cost, P(x) = R(x)-C(x) you just need to solve for x in 0.002x^2 + 38x - 150000 >= 1650000
March 26, 2016

math
Your Algebra I is missing 3cos(x+4) = 1 cos(x+4) = 1/3 x+4 = arccos(1/3) x = arccos(1/3) - 4 = 1.231 also, 2π-1.231 = 5.052 sin^2(t) = 1/2 sint = ±1/√2 since sin π/4 = 1/√2 t = all odd multiples of π/4
March 26, 2016

contempory math
not enough to go on. All we have is A, 4G's, A, 5G's no telling how many G's we are expecting between the A's. 4,5 ... is not much info.
March 26, 2016

math
the diagonal has length √(8^2+8^2) = 8√2 So, the sides have length 8. The total area is thus 6*8^2
March 26, 2016

mathematics
Let x be Jane's age now y be John's age now They have said x+y = 25 (x-8) = 2(y-8) So, just solve for x and y.
March 26, 2016

TRIGONOMETRY
Or, more directly, tan = 1/cot = 1/√(cot^2) = 1/√(csc^2-1)
March 26, 2016

Math
product means multiply: x(x+2) = 80 Note that 8*10 = 80
March 26, 2016

calculas
if it's a max at t=0, it is a cosine curve. So, y(t) = (2.7/2) cos((2π/18) t) the velocity is y', so v(t) = -(1.35)(π/9) sin(π/9 t)
March 26, 2016

calculas
first, find the slope of the tangent line anywhere: y' = -3sin(3x) so, at x=π/4, y = -3sin(3π/4) = -3/√2 Now you have a point and a slope, so the line is y + 1/√2 = -3/√2 (x - π/4)
March 26, 2016

Math
66/36 = 18/x 66x = 18*36 x = 18*36/66
March 26, 2016

PRECALC
f(3+h) = 2^(3+h) = 8*2^h f(3) = 2^3 = 8 ... (g◦f)(5) / (f◦f)(3) = √(f(5)-7) / 2^f(3) = √(32-7) / 2^8 = 5/64
March 26, 2016

calc 2
g(x) = (x + 5/2)^2 - 25/4 p = -25/4 there are Euler's method calculators online.
March 26, 2016

Algebra 1
What grade represents a C? Let's say it's a 75. Then just consider the total points he needs to have a 75 average: 68 + p >= 2*75 If a C is some other number, then just make the adjustment and solve for p, the number of points he needs.
March 25, 2016

Probability
well, of the 52 cards, how may are a 3 or a K?
March 25, 2016

Math
42.5 <= 90-19x <= 52 -47.5 <= -19x <= -38 2.5 >= x >= 2
March 25, 2016

Probability
well, of the 52 cards, how many are a heart or a king?
March 25, 2016

mathematics-probability
well, the probability of getting a 6 on just the 1st roll is (1/6)^1 * (5/6)^3 Since you are allowed a 6 on any of the rolls, what do you think?
March 25, 2016

Math
2*8*6 + 2*3*6 + 2*3*8 = 180 in^2 How much she needs to buy depends on the width of the roll and how much overlap she uses during the wrapping.
March 25, 2016

Math
well, such a reflection takes (x,y) -> (-x,y) Now just plug in your numbers.
March 25, 2016

Math
you have a square of side 18 and 4 triangles with base 18 and height 12. So, since you know how to find the area of squares and triangles, just add 'em up.
March 25, 2016

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