Friday
August 28, 2015

Posts by STEVE


Total # Posts: 33,111

Biology
How is a protein different from a complex carbohydrate? a.The monomers that make up a protein vary whereas the monomers that make up a complex carbohydrate are all the same. b.Proteins function as energy storage polymers whereas complex carbohydrates function to control rates ...
August 15, 2015

Math
no idea. What shape is the container? Do the marbles touch all of the nearest sides of the container? Only one side? Any sides at all? Lots of specifics left out here.
August 15, 2015

pre-algebra
4/5 x + 5 < -3 4/5 x < -8 4x < -40 x < -10
August 15, 2015

math
clearly the black tea is 1/4 of the total The price p is thus 10(2.40)+30(3.20) = 40p
August 15, 2015

lasmocol
figure the number of moles of the silver compound. Since 500cm^3 is 0.5 liters, the molarity is twice the # of moles.
August 15, 2015

Urgent math
the expansion of (a+b)^10 starts out with a^10, so the term with a^3 is C(10,7)a^3b^7 So, since you have a = 3x and b = -3, that would be C(10,7)(3x)^3(-3)^7 = 360(27x^3)(-2187) = -7085880x^3
August 15, 2015

Urgent math
the common difference is d=5 So, the nth term is 4 + 5(n-1) or, 5n-1
August 15, 2015

Algebra ASAP
an = 0.85 * 1.29^n Now just plug in n=6
August 15, 2015

Math
No way to tell. What size cake did those ingredients make?
August 14, 2015

AHOOOGAAH! HOMEWORK DUMP!
So many questions! So little work to show! This is what is affectionately known as a Homework Dump.
August 14, 2015

Algebra 1
If 5% is gone, that leaves 95% of the previous population. So, #3.
August 14, 2015

Algebra 1 - eh?
eh?
August 14, 2015

math
(x+y)(x-y) = 105 Since 105 = 3*5*7, I suspect that x-y is one of those values. Now, 105 = 3*35 or 5*21 or 7*15 So, we can try x-y=3 x+y=35 (x,y) = (19,16) x-y=5 x+y=21 (x,y) = (13,8) x-y=7 x+y=15 (x,y) = (11,4)
August 14, 2015

Geometry
Wouldn't it be x-30+x+76=180 2x+46=180 2x=134 x=67 thus 67-30=37 and 67+76=143
August 14, 2015

Geometry
<1 &<2 are a linear pair. m<1=x-30 & m<2=x=76. Find the measure of each angle.
August 14, 2015

Geometry
That would makem it 24 + 34 =58 T NMO = 6(24)-28 58 + nmo = 144 - 28 = 119 116- 58 = 58 Thank you
August 14, 2015

Geometry
Line MO bisects <LMN, m<LMN =6x-28,m<LMO=x+34. Find m<NMO
August 14, 2015

Math
4/3 the speed means 3/4 the time. time = distance/speed
August 14, 2015

math
starting with x, .05x on rent, leaving .95x .95x * .20 = .19x on car, leaving .76x of the remainder, 7/20 = 4907, so 13/20 = 9113 So, 9113+4907 = .76x x = 18447.37
August 14, 2015

Geometry
50
August 14, 2015

Geometry
since BD bisects the angle, we must have] 5x = 3x+10 2x = 10 x = 5 So, you are correct, but that does not answer the question: What is <ABC?
August 14, 2015

Geometry
sorry = my answer is 5
August 14, 2015

Geometry
Find the,<ABC if the line BD bisects <ABC and given m<ABD = 5x and m<DBC = 3x + 10.
August 14, 2015

math
since time=distance/speed, x/5 + 1/2 + x/(5/2) = 4 x = 35/6 His total distance is 2x
August 14, 2015

math
net inflow is 4 - 1/2 = 7/2 gal/min So, it takes 50/(7/2) = 14.3 min to fill
August 14, 2015

Calculus
Since x has degree less than x^2-100, the horizontal asymptote is y=0 since x^2-100 = 0 at x = ±10, and x≠0, those are the vertical asymptotes I find the function unrealistic. It implies negative concentrations, going off the charts as time increases. I suspect a ...
August 14, 2015

Math
x - x/5 - 2x/3 = 60 x(1 - 1/5 - 2/3) = 60 x(15-3-10)/15 = 60 x(2/15) = 60 x = 60(15/2) = 450
August 14, 2015

college algebra
Assuming you mean 3^(1-x) = 1/27 3^(1-x) = 3^(-3) 1-x = -3 x = 4
August 14, 2015

algebra 2
1st digit: 1-9 other digits: 0-9 So, 9*10*10*10 = 9000 possibilities
August 14, 2015

Algebra ASAP
find r by dividing any term by the previous term: r = 9/36 = 1/4 So, Tn = 36*(1/4)^(n-1) = 144/4^n T10 = 144/4^10 This was pretty straightforward. Looks like you need to review the topic.
August 14, 2015

Algebra
If the shorter list has x items, then x + x+7 = 33
August 13, 2015

algebra
5ac+10ab-25ad = 5a(c+2b-5d) 4x(a+b)-3y(a+b) = (4x-3y)(a+b) ax-bx+2a-2b = x(a-b)+2(a-b) = (x+2)(a-b) 2(x+y)-t(x+y) = (2-t)(x+y) These are pretty straightforward. Look how they worked out, and try some more on your own. It just takes a little practice to get used to seeing the ...
August 13, 2015

physics
see related questions below.
August 13, 2015

calc
clearly that would be ∫[0,2] t^2-1 dt = 2/3 But that is the algebraic distance (final displacement), since it starts out with negative velocity. To get the actual distance traveled, you need to separate the two parts: ∫[0,1] -(t^2-1) dt + ∫[1,2] t^2-1 dt = 2/...
August 13, 2015

Math
you are correct.
August 13, 2015

Math
Looks like you need to study what 50% more efficient means. It means B can do 50% more work than A in a given time. 50% = 0.5 So, 50% more means 1.5 times as much. That's 3/2. Think about it. If I do twice as much as you, it takes half (1/2) as long. If I do 3/2 as much as...
August 13, 2015

Math
3/2 as productive means it takes 2/3 as much time. So, (D).
August 13, 2015

Math
-4 = 0-4, but -1 ≠ 5-4
August 13, 2015

Math
Doesn't look like it, assuming I have read your garbled text correctly.
August 13, 2015

Math Urgent
well, let's see what happens. 12 6 3 10 5 16 8 4 2 1 4 2 1 4 2 1 tarting with T8, they repeat with a period of 3 1000 = 7+993 = 7+3*331 So, T1000 = 1
August 13, 2015

STATISTICS
looks like 0.12^3 to me.
August 13, 2015

Math Probability
clearly one step will take the ant to the equator of the octahedron. From there, there are 4 ways to go, only one of which continues on to the bottom. So, p = 1/4
August 13, 2015

English
thank you
August 13, 2015

English
Id the 2 adjectives. Argyles are patterned socks named after a Scottish clan. My answer patterned & Scottish
August 13, 2015

Sociology
thank you
August 13, 2015

Sociology
Understanding what is required to test theories? a- reason b- imagination c- validity research my answer is d
August 13, 2015

math
(6*42)/36 = 7
August 13, 2015

Applied Geometry
The area of an equilateral triangle with sides of 3 is 1/4 * 3^2 * √3 So, the volume of the pyramid is 1/3 (9√3/4)(4) = 3√3 = 5.2 You are correct.
August 13, 2015

Geometry
Nope. The whole circumference is 2πr = 16π
August 13, 2015

Maths
ok. now what?
August 13, 2015

Maths
do you mean 4√(132/143) - 2 or ∜(132/143) - 2 Not sure what "by" means here. Either way, there's not much that can be simplified. 132/143 = 11*12 / 11*13 = 12/13
August 13, 2015

maths
s/3 + 3t/4 = 30.5 2t = 6(j-s) j=34 solve that and you have s=24 t=30
August 13, 2015

Math
Just write down in symbols what they told you. If there are a apples and p pears, then a+p = 450 (1/2)a + (3/4)p = 265 a=290 p=160 a-p = 130
August 13, 2015

math
Which ways can two of the 15 coupons total $10? 2+8 5+5 8+2 P(2,8) = 5/15 * 2/14 = 1/21 P(5,5) = 2/15 * 1/14 = 1/105 P(8,2) = 2/15 * 5/14 = 1/21 Add up the ways and you get 11/105
August 13, 2015

math
20*15*6.00 = ?
August 13, 2015

Arithmetic progession
a+2d = 10(a+d) a+6d = 7a Solve for a and d, and then you can find the sum of T8+T15 = (a+7d)+(a+14d)
August 13, 2015

MATH
well, since there are 360° for 24 hours, every hour is 15° of longitude. The latitude does not matter.
August 13, 2015

Urgent math
well, finding the first six terms is easy, right? An = 5n^2-1, so here's a table: n An 1 5*1^2-1 = 5-1 = 4 2 5*2^2-2 = 20-2 = 18 3 5*3^2-3 = 45-3 = 42 4 5*4^2-4 = 80-4 = 76 5 5*5^2-5 = 125-5 = 120 6 5*6^2-6 = 180-6 = 174 Now just add 'em up to get S6
August 12, 2015

Calculus
just to get rid of pesky decimals. Fractions are exact; decimals can often be only an approximation, as in 2/3 = 0.666...
August 12, 2015

Math
If there were c correct answers, then there were 10-c wrong answers. So, now use her score to find c: 5c - 2(10-c) = 29
August 12, 2015

Math (Calculus)
you need both the product rule and the chain rule. f(x) = (3x)(x^2+4)^-1 f'(x) = (3)(x^2+4)^-1 + (3x)(-1)(x^2+4)^-2(2x) = 3/(x^2+4) - 6x^2/(x^2+4)^2 = (3(x^2+4)-6x^2)/(x^2+4)^2 = (12-3x^2)/(x^2+4)^2 The quotient rule produces the same result; in fact, you can see the ...
August 12, 2015

math
time of truck: 15:24-12:00 = 204 minutes time of flight: 3:24-1:48 = 96 minutes So, if the truck's speed was x km/hr, we have (x km/hr)(204 min) = (170 km/hr)(96 min) x = 170*96/204 = 80 You could convert everything to m/s, or use fractional hours or something, but if you ...
August 12, 2015

Math
If you google images for "ruler" you will find many images. Some have an inch divided into 16 parts, and some into only 8 parts. If you remember that 1/8 = 2/16, you should have no trouble getting what you want.
August 12, 2015

Geometry
If BC=2y and CD=2x, note that triangles ADF, ECF, and ABE are all right triangles with one leg half of a side of the rectangle. We know that ABCD has area (2x)(2y) = 72, so xy=18. ADF has area (2y)(x)/2 = xy = 18 ECF has area (y)(x)/2 = xy/2 = 9 ABE has area (y)(2x)/2 = xy = ...
August 12, 2015

Algebra
If there were c correct answers, then there were 10-c wrong answers. So, now use her score to find c: 5c - 2(10-c) = 29
August 12, 2015

alegebra
AP: T1 = a T3 = a+2d T9 = a+8d GP: T1 = a T2 = ar T3 = ar^2 a+6d = 14 a+2d = ar a+8d = ar^2 Solve all that and you find a=2 d=2 r=3 T20 of the AP is 2+19*2 = 40 Check: AP: 2 4 6 8 10 12 14 16 18 20 ... GP: 2 6 18 ...
August 12, 2015

Algebra 2
You know that y=5x+2 has slope 5. Now just use the point-slope form of the line: y+3 = 5(x-1) You can massage that into one of your choices, if it's not already there.
August 12, 2015

Algebra ASAP
P: 3^(2n)-1 is a multiple of 8 P(1): 3^2-1 = 8. True Assume P(k). Then with n=k+1, we have 3^(2(k+1))-1 = 3^(2k+2) = 3^(2k)*9 - 1 = 3^(2k)*8 + 3^(2k) - 1 but, we know that 3^(2k)-1 is a multiple of 8, say, 8m. Then we have =8(3^(2k))+8m = 8(3^(2k)+m) which is a multiple of 8. ...
August 12, 2015

pre-cal
The term containing x^k in (x+z)^n is C(n,n-k)x^(n-k)z^k. So, we have C(10,5)(x^5)(2y)^5 = 8064 x^5 y^5
August 12, 2015

math
(a+b)^2 = 49 (a-b)^2 = 16 (a+b)^2 - (a-b)^2 = 4ab = 33 so, ab = 33/4
August 12, 2015

algebra 1
As written, f(x) = 5x-1 So, you will have a shifted f as g(x) = f(x-13) = 5(x-13)-1 = 5x-66 If, however, your function is f(x) = 5(x-1), then the shifted function is g(x) = f(x-13) = 5((x-13)-1) = 5(x-14) You gotta learn how to use parentheses!!
August 12, 2015

Counting and Probability
Take a look in each hundred numbers starting with the digit x: x10 x20 ... x90 - 9 of them x21 x31 ... x91 - 8 of them ... x98 - 1 of them 9+8+...+1 = 45 So, in each hundred numbers there are 45 that have the tens greater than the ones.
August 12, 2015

math
Clearly the equation is wrong. If a = π/4, we have sina = cosa = 1/√2 and the equation is 1/8 + 1/8 - 1/8 = 1 - 2(1/2) which is false.
August 12, 2015

Math
If the number is ab, then we have 2(a+b) = b+19 10b+a = 10a+b - 18 Now solve for a and b, and you see that the number is 75
August 12, 2015

algebra
any value of r such that 0 < 1+r < 1 will work. That is, -1 < r < 0 In other words, r is negative, but not by much. That is, (1+r) is a positive fraction, so as x increases, the value of A(x) gets smaller and smaller
August 12, 2015

Math
(j/2) = (j/k)(k/2) = (32)(3/4) = 27
August 12, 2015

pre-cal
In Pascal's Triangle, the coefficients on the 5th row are 1,5,10,10,5,1 So, (x-y)^5 = x^5 + 5(x^4)(-y) + 10(x^3)(-y)^2 + 10(x^2)(-y)^3 + 5x(-y)^4 + (-5)^5 = x^5 - 5x^4y + 10x^3y^2 - 10x^2y^3 + 5xy^4 - y^5
August 12, 2015

probability
well, they tell you that the probability that the archer hits the target exactly r times in n attempts is given by the term containing p^r in the binomial expansion of (p+q)^n You have p=0.8 and q=0.2 You want the term containing p^4 in the expansion of (p+q)^6 That term will ...
August 12, 2015

calculus
xy^3 + 2y - 2x = 1 y^3 + 3xy^2 y' + 2y' - 2 = 0 y' = (2-y^3)/(3xy^2+2) At (1,1), y' = 2/5 Now you have a point: (1,1) and a slope: 2/5 I'm sure you know the point-slope form of a line.
August 12, 2015

calculus
tantas preguntas! tan poco trabajo!
August 12, 2015

math
If the square has side x, then the box when folded up has height 5, and a square base of side x-5-5=x-10 5(x-10)^2 = 320 (x-10)^2 = 64 x-10 = 8 x = 18
August 12, 2015

Math
If the squares have sides a and b, then we have 4a+4b=20 a^2+b^2 = 13 a+b=5 (a+b)^2 = 25 a^2+b^2+2ab = 13+2ab = 25 2ab=12 ab=6 If we assume integer sides, then since the factors of 6 are 2 and 3, a=2, b=3. check: 4*2+4*3 = 20 2^3+3^2 = 13 OK
August 12, 2015

Maths progression
we have a=2 sum of 1st 5 terms: S5 sum of next 5 terms: S10-S5 So, we now have S5 = (S10-S5)/4 4S5 = S10-S5 5S5 = S10 (5)(5/2)(4+4d) = (10/2)(4+9d) d = -6 The progression is thus 2, -4, -10, -16, -22, -28, -34, -40, -46, -52 ... S5 = -50 S10 = -250 S10-S5 = -200 T20 = 2+19(-6...
August 12, 2015

math or algebra
rate of change is °/hr You have 12° in 6 hrs Thus the average rate of change is -12°/6hr = -2°/hr the distance from sea level is just the absolute value of the elevation. That is, +500 ft and -500 ft are both just 500 ft from sea lavel. So, Climax: |11560| = ...
August 12, 2015

physics
0.544 km E = <0.544,0.000> 0.925 km S = <0.000,-0.925> 3.58 km W17.3°N = <-3.418,1.065> Adding them all up, the final location is <-2.874,0.140> Now you should be able to figure the final displacement and thus the average velocity.
August 12, 2015

math
20 cos30°
August 12, 2015

Polygon
5*180 / 7
August 12, 2015

Algebra
done - see previous posting.
August 12, 2015

Urgent math
none - see previous post.
August 12, 2015

Geometric progression
clearly, a=6, r=3/2 S13 = a(r^13-1)/(r-1) = 6((3/2)^13 - 1)/(3/2 - 1) = 4758393/2048
August 11, 2015

math
done. see prior post.
August 11, 2015

math
done - see previous post
August 11, 2015

math
done. see previous post
August 11, 2015

DC/AC Electronics
highest, since E = IR or IX
August 11, 2015

math
LCM(4,7,8,9) = 504 5:4 = 630:504 7:8 = 504:576 9:7 = 576:448 So, we have the class ratios in the sequence 630:504:576:448 Add those up and you have 2158
August 11, 2015

math
As usual, draw a diagram. If the smaller circle has center O and the larger circle has center P, and the tangent on one side touches O at A and P at B, then draw AC parallel to OP, intersecting PB at Q. Note that AQ = OP and you have a right triangle AQB where angle QAB = 30&...
August 11, 2015

math
(x)(t+54) = (1.12x)t tx + 54x = 1.12tx .12tx = 54x .12t = 54 t = 450 The actual value of x does not matter.
August 11, 2015

algebra 2
well, 1+cot^2 = csc^2 tan(cot+tan) = 1 + tan^2
August 11, 2015

mathematics
I can't see how two forces of 35 and 5 can add up to 5. 35-5 <= |u+v| <= 35+5 I suspect a typo
August 11, 2015

Urgent math
I don't see any which work 5(1)+1-9 = -3 6(4)-2 = 22 7(2)+1 = 15 3(2)+1 = 7 10(2)-2 = 18
August 11, 2015

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