Monday
April 21, 2014

Posts by steve


Total # Posts: 21,815

math
identify the sequence 1.6, .8, .4, .2 as arithmetic, geometric, or neither and why.

math
C(g) = 2.19g

math
a gas station charges $2.19 per gallon of gas. use function notation to describe the relationship between the total cost C(g) and the number of gallons purchased g.

math
looks like 8 11 14 17

math
find the 1st 4 numbers of the sequence 3 n + 5

math
625cm/2500cm = 1:4 so, what's 5000/4 ?

Math
since you give no information as to their directions, I will assume they are traveling in opposite directions. So, if the .1kg mass is moving in the + direction, we have 0.1*0.4 - 0.2*1.0 = (0.1+0.2)v v = -8/15

science
why do people have a hard time moving a large rock out of the road

science
what animal would have less momentum then a 52 kg cheetah running at 10 m/s.

science
what is the momentum of a 20kg scooter traveling at 5.o m/s.?

math
this is bogus. Maybe X,Y,Z are all disjoint. So, Z – (X U Y) = Z maybe Z⊆(XUY) so Z – (X U Y) = Ø Looks like you're on your own for this one.

math
well, duh: (2,-3)

Math
w(2w+4) = 400 w = √201 - 1

linear algebra
3/4 as big as or 25% smaller than

Math
assuming you mean a 1 ft cube, then it has 4^3 = 64 smaller cubes. The 8 corners have 3 faces yellow The 12 edges have 2 blocks each with 2 faces yellow, making 24 The 6 faces have a 2x2=4 set of cubes with 1 face yellow, or 24 That leaves the interior 2x2x2=8 cubes all green

Math 10
the graph is a parabola, with vertex at t=1 h(1) = 20 see a picture and analysis at http://www.wolframalpha.com/input/?i=-5t^2+%2B+10t+%2B+15

Math
x+y = 14 30x+60y = 660 6 @ 30" 8 @ 60"

Algebra
w=t+11 2w+t=64 w = 25 t = 14

physics grade 10 icse
v is the same forces in ration 1:2

calculus
Hmmm. If the population is p, then we have dp/dt = kp dp/p = k dt ln(p) = kt + c p = c e^kt Now we know that p triples in 14 days, so we can forgo using e, and just use 3 as our base: p(t) = Po * 3^(t/14) so, starting with 100, and gaining 15 per day and losing 23 each day, ma...

calculus
if the printed area has width and height x and y, then the total area is a = (x+8)(y+12) and xy=384 a = (x+8)(384/x + 12) = 12x + 3072/x + 480 that is minimum when da/dx = 0, so we need 12 - 3072/x^2 = 0 x = 16 so the poster is (16+8) by (24+6) or 24x30

math
a pyramid has a height of 5 inches and a surface area of 90 inches squared. A similar pyramid has a height of 10 inches what is it's surface area?

Math
n(n-1)/2

Algebra
x/(2x-5) - 5/(6x-15) 3x / 3(2x-5) - 5 / 3(2x-5) (3x-5) / 3(2x-5) or 1/2 + 5 / 6(2x-5)

math
I have 7 different pairs of jeans and want to take 2 with me on vacation. how many different ways can you pick 2 pairs of jeans to take on vacation. sorry for not proofing before

math
pairs of jeans and want to take 2 with you. how many different ways can you pick 2 pairs of jeans.

Math
Use partial fractions to see that you have -1/x^2 + 2/x + 3/(x+2) Now it's a piece of cake, right?

math
well, how many numbers are there? 10 how many are divisible by 2? 5

math
you have a spinner labeled 1 through 10. you spin once. what is p (divisimble by 2)

Calculus
y = xe^(-4x) y' = (1-4x)e^(-4x) y" = 8(2x-1)e^(-4x) since e^(-4x) > 0 for all x, y" < 0 when 2x-1 < 0. see the graph at http://www.wolframalpha.com/input/?i=+xe^%28-4x%29+for+0+%3C%3D+x+%3C%3D+1

maths
substitute y=7-2x and you have x^2 - x(7-2x) = 6 x^2 - 7x + 2x^2 - 6 = 0 3x^2 - 7x - 6 = 0 (3x+2)(x-3) = 0 x = 3 or -2/3 so, y = 1 or 25/3

CALCULUS
algebraically, since both functions are symmetric about the origin, the area is zero. geometrically, using symmetry, you have the area is 2∫[0,pi/9] (tan3x - 2sin3x) dx = 2/3 (2cos 3x - log cos 3x)[0,pi/9] = 2/3 (log2 - 1)

CALCULUS PLEASE HELP
seems pretty straightforward. We have ∫[0,10] 2300e^(.024t)-1450e^(.018t) dt = 10107.8 see http://www.wolframalpha.com/input/?i=%E2%88%AB[0%2C10]+2300e^%28.024t%29-1450e^%28.018t%29+dt

CALCULUS
If I read it correctly, you have y=4/x, y=16x, and y=x/16 for x>0 You need to break the area into two regions, because the two top curves intersect at x = 1/2 So the area is ∫[0,1/2] 16x - x/16 dx + ∫[1/2,8] 4/x - x/16 dx = (8x^2-x^2/32)[0,1/2] + (4logx-x^2/32)[...

math
7/10 * 6/9

algebra
(1+.09/12)^(12x) = 500000/25000 x = 33.411 years I figure you can calculate the required day

algebra
just solve for t in (1/2)^(t/5715) = 0.76 t/5715 = log(.76)/log(.5) t = 2262 makes sense, since 76% is about half way to 50%.

math
take a look here: http://www.wolframalpha.com/input/?i=plot+x%2B2y%3D-2%2C+-2x%2By%3D14+%2C+x%3D0%2C+y%3D0

birzit
find t with 5t^2 = 20 then use that t to find the distance d in d = 25t

maths
Since the formula says BAC% = ... I'd say just set it up as 0.1 = (5.14)(4*16*.04) / (.73)(12.5*14) - 0.015H H = 0.2 hours

maths
you have the formula, and you have the numbers. What's the trouble? (aside from converting stones to lbs)

maths
g = 32 ft/s^2 ya just gotta know some things

maths
solve for t in 16t^2 = 5 then plug that t into the distance d = 600t

math
z^2 = -2j = 2cis(3pi/2) z = √2 cis(3pi/4) = √2 (-1/√2 + 1/√2 j) = -1+j

math
1.1c - 150 = 0.6c c = 300

word problem
just solve 34.1 lnx + 117.7 = 250 34.1 lnx = 132.3 lnx = 3.88 x = 48.4 so, we're looking at 2048

Algebra
Hmm. I read it as x(x-7) = 8 Oddly enough, the answer is the same!

finance
(1+r)^4 = 73800/52500 = 1.4057 1+r = 1.0888 r = 8.9%

Finance
(1500(1+.04/4)^(4*5) + 500)(1+.05/4)^(4*5) = 2987.51 2987.51 - (1500+500) = 987.51 330.29 on the 1st deposit 657.22 on the 2nd deposit

math
3/5 x + (1/3)(2/5)x = 110 x = 150 so, he had $40 left.

logarithim
remember that 9^x = (3^2)^x = 3^(2x) so, setting everything to base 3, you have 3^(x-2) = 3^(2(x+4)) now take logs to base 3 on both sides (meaning: if the numbers are equal, then the powers are equal), to get x-2 = 2(x+4) x = -10

algebra
{f,o,d}

algebra
yes. Then since the logs are equal, so are the numbers, and you have (x+3)/(x-5) = 7 x = 19/3

algebra
3ln(4x) = 17 ln(4x) = 17/3 4x = e^(17/3) x = (1/4) e^(17/3)

algebra
3x+2 = 7^5 x = (7^5-2)/3 = 16805/3

algebra Word problem
e^15r = 3 15r = ln3 r = ln3/15 = 7.3%

algebra
since you probably don't have a log base 5 button on your calculator, you need to change base. log5379 = log379 / log5 and on the right, you can use any base you want: e or 10

math
(3.835/100.00)v = 283.79 v = 7400.00 wow - cheap house!

Math HELP
11 cm = .11 m, so now it is 1.6 + .11 = 1.71 m high don't know why you were messing with times tables. They gave you the old height and told you how much it grew. Just add the two numbers!

Math
one week ago was 7 days ago.

algebra
just use the distance formula, which I'm sure you know. The length of the line segment is just the distance between the points: √((0-3)^2+(-6-0)^2) = √(3^2+6^2) = √45 = 3√5

Physics
mv = 7.84*10^7 acceleration from the force is a = F/m = -1.29*10^6/m so, v after force is 7.84*10^7/m - (1.29*10^6/m)(9.65) = 6.6*10^7/m so the final momentum is 6.6*10^7 kg-m/s sorry about using m for mass as well as meters.

Stats.
Wow - you must give up easy. For #a, click the Between button and enter the two values. Then click recalculate. It will show the relevant area and its probability: .0955 If you know the area and want the bounds, then click on the Value from an Area button.

Stats.
a good place for playing around with Z table stuff is http://davidmlane.com/hyperstat/z_table.html

algebra
no reason to estimate, since the quadratic formula provides their exact values. x = (3±√65)/4 since √65 is very close to 8, a good approximation would be x = 11/4 or -5/4

trig
just use your calculator to find the angle with the given property. Then solve for x. For example, tan 58.7° = 1.6443 Since the period of tan(x) is 180°, you have to find x where 90-2x = 58.7: 2x = 31.3, so x = 16 2x = 211, so x = 106 also, continuing on, x = 196,286 D...

trig
cos(x) assumes all values between -1 and 1. Each of those values appears twice in a period of the curve. Since you want a unique value, x = 0 so cos(x) = 1 or x = 180, so cos(x) = -1 for any other value where cos(x) = k, cos(360-x) is also equal to k. Look at the graph and you...

trig
either 1 or -1 is attained only once on the given domain.

math
3/8 + 5/8 = 1 so, you still have 5/8 to go. and, believe it or not, "further" and "farther" are not interchangeable.

English grammar
while and unless can have opposite meanings I will stay inside while it's raining. I will go outside unless it's raining. Of course, there are other meanings as well, as in While I'd love to help you, I can't, unless you tell me what's wrong.

MATHS - HCF
LCM(25,45,60) = 900 So, 920 will do the trick. 70 = 16 + 3*18 = 10 + 5*12 = 22 + 2*24

isd muscat
1/16 is left after 4 half-lives (1/2^4) so, 2 hours is 4 half-lives. ...

math - typo?
I think that the "d" is a typo.

Calculus
the discontinuity is non-removable. There's no way to define f(x) there so that the two limits are the same and equal f(x).

math
just list the numbers: 140 120 100 80 60 40 20 0 120 110 100 90 80 70 60 50 40 30 20 10 0 So, how many numbers are in both lists?

science
p = mv = 20kg * 5 m/s = 100 kg-m/s

science
what is the momentum of a 20.0 kg scooter traveling at 5.00 m/s?

Calculus
just apply the definition. What's the problem? f(x) = 1/x f(a) = 1/a f(x)-f(a) = (a-x)/(ax) Now divide that by x-a and you have -1/(ax) the limit as x->a is -1/x^2 So, fix your typo and adjust the evaluation. (1,1/5) is not on the curve for 1/x.

math
n! = n(n-1)! 1! = 1 so, 1 = 1*0!

Math
the formula is a = 2pi*r(r+h) 2*pi*8(8+8) = 803.8 If you just want the lateral area, or the area of the two ends, then you get half that. So, reread the question and make sure you are both on the same page for how much of the area you want to consider.

math
48 is 3/4 of 64 cents so, what's 3/4 of 16 inches?

math
18 / (3/8) = 18 * 8/3 = ?

algebra
x^2+10x-24 = 0 (x+12)(x-2) = 0 Looks like D to me.

math
n(t) = 15000*3^(t/8)

Math
the integral of the u stuff is just u + log(u) - 1/u so the whole thing is just 72/7 + 5log(7/5)

Math
that would be f(2)-f(0) = 3.68 - 2.64

Math
R(x) = ∫R'(x) dx = -0.05x^2 + 40x Now just plug in your x values.

5th Grade Math
c = 5d d = m+187 c = 15250 (change km to meters) you want m, so start substituting m = d - 187 = c/5 - 187 = 350 - 187 = 163

Math
∫√(11x)(√x + √11) dx = ∫√11 x + 11√x dx now it's just straight powers of x, so we have ∫[0,1] √11 x + 11√x dx = √11 x^2/2 + 11(2/3) x^(3/2) [0,1] = 22/3 + √11/2

functions (easy explanation)
well, you surely know that 5^x > 0 for positive x. It grows from 5,25,125,625,... getting ever larger Now, negative exponents are reciprocals. So for negative x, you just have 1/5, 1/25, 1/125,... No negative values for y, just smaller and smaller.

Math
nope. All you know is that bh/2 = 22 Pick any value for b, and you can figure h, but you can't pin them both down.

Math
1-6 are ok #7 is no. You can divide 22 up into a product in many different ways.

math
4*8*L = 256 L = 256/32 = 8

Calculus
you know the slope of the tangent for y = f(x) at any point is m = dy/dx So, for y = x^2-2x, the slope at any x is y'(x) = 2x - 2 So, at (0,0), mm = -2 If you want to estimate the slope, pick two x values close to zero and find the slope between those two points on the cur...

Math
I'd say use the average of the averages. But, it depends on what you want. Not sure that a "team average" has any real meaning. Depends on how you define it. If you average the averages, it decreases the importance of hitters who have been up many times, as their...

math
784 = 28*28 All we know about the parallelogram is that its base=28 and its height=28 The long sides can be anything greater than 28, depending on how flat the parallelogram is.

math
(10/2) m^(2-5) = 5/m^3

math
1 1/2 inches is 3 times 1/2 inch so, what's 3 times 5 yards?

math
consider the data points 1 10 20 1 2 3 4 10 10 10 17 18 19 20 same center, same max Yiu can surely come up with many variations where the same conditions hold.

Math
I get A why not use actual math symbols instead of words? 3x^5 / 15x

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