at (x,y) on the circle, the slope is -y/x So, -y/x = 11/60 y = -11x/60 x^2(1+121/3600) = 11 x^2 = 39600/3721 y^2 = 1331/3721
x = k/y^3 6=k/27 k = 162 162/8 = 81/4 or, since xy^3 is constant, we have (6)(27) = x(8) x = 81/4
just solve for t when h=0 good old algebra I
6x+3x+x = 420 x=42 6*42/2 = 126 3*42+42 = 164 420-(126+164) = 130 126:164:130 = 61:82:65
16/4 = 4
24 and 8
you have to solve for x when y=0, which is not always possible analytically. There are lots of good graphing apps online, and wolframalpha.com will show the graph and other useful information. In this case, y = x(x^4+9) so y=0 when x=0 or when x^4+9=0 But, x^4 is always positi...
800+.035(8500+19500+15950+11250) = 2732
well, did you calculate (.0425)(268000) ?
pretty sparse table. There are lots of ways to get from 28 to 7. Two obvious ones are 28/4 = 7 28-21 = 7
Algebra - eh?
since you give no values for r and h, I'll have to trust your calculation.
The surface area of a cylinder is approximately? a-- 151 m sq b-- 273 m sq c-- 179 m sq d-- 302 m sq my answer is Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h c
150 miles x .35% = 52.5 miles ridden 150 miles - 52.5 miles ridden = 97.5 miles yet to ride
I assume the density is 10.5 g/cm^3 10.5 g/cm^3 * 4.5cm^3 = 47.25 g
If you want to factor it, that'd be 4a^2 + 7ab - 2b^2 (4a-b)(a+2b)
TODAY offer expires tomorrow...
read any book on the subject. If you like to suffer, start with Euclid's "Elements" If you really like torture, read it in the original Greek!
McKenna, you are right. note that 45% is 1/4 of the way from 40 to 60, so only 1/4 of the total is the higher concentration. Just sayin' . . . As for Julie, she had 35-18=17 visits left
if she uses x gallons of 40%, then .40x + .60(12-x) = .45(12)
if x lbs of 40%, then .40x + .20(10000-x) = .25(10000)
just take the graph of y=x^3 and shift it right 5 and up 2.
looks like 20, with 10 2nd-place
with no diagram or description, it's pretty hard to help.
a+9d = 54 a+4d = 4 5d=50 d = 10 a = -36
#2: ok, if you meant to say "or" a 4 #5: ace and spade (the ace of spades): 1/52 ace or spade: 4/13
get rid of fractions to make things easier: 12x + 25y = 180 3x - 2y = -9 or 12x+25y = 180 12x-8y = -36 33y = 216 11y = 72 y = 72/11 x = 15/11 rearrange to standard format: 4x-3y = 3 x-2y = -3 or 4x-3y = 3 4x-8y = -12 5y = 15 y = 3 x = 3
45 + .25x = 35 + .30x x = 200
well, there's no way that 2008 can be the sum of three consecutive integers. I think you must have meant "these" not "three". Otherwise, since 2008 has 8 divisors, we want 16 consecutive integers, meaning 16n + 15*16/2 = 2008 n = 118 So, the numbers are...
216/18 = 12, so the yard is 12x18, making the perimeter 60 feet. So, without the gate, she needs 57 feet of fence.
if the price is $99 after the discount, then the full price is 99/.6 = $165 and the discount if $66 If the original price is $99, then after a 40% discount, the price is 99*.6 = $59.40 and the discount is $39.60 You divided $99/.4 = $247.50, but that is not the computation you...
Math - incomplete
well, the 4th angle is therefore 114, but I'm not sure what's the question. Not sure whether the "upper left angle" is between the base and the left side, or the base and the diagonal. Maybe you should describe the figure, giving points ABCD as vertices, and ...
500(1.056)(8.5) assuming monthly posting of interest.
Vx = 2.59 Vy = 9.8t distance fallen = 4.9t^2 tan67.9° = 2.46 = Vy/Vx, so Vy = 2.46*2.59 = 6.37 so, the distance fallen is 4.9(6.37/9.8)^2 = 2.07 m
well, you could say that 0-2 represents a dog 3-4 represents a cat 5 represents other pet 6-9 represents no pet then, sample groups of 5 digits as above, counting what percent contain two or more 0,1,2 digits
short physics question
since force is proportional to acceleration, it means that the body is moving forwards and getting faster and faster. If the motion is forward but the force is backward, then the body is moving forward, but decelerating, or getting slower.
3x3 2x4 1x5 and, if you don't need integers, 2.5 x 3.5 1.7 x 4.3 etc, as long as length+width=6
since the slope is -14/3, y = -14/3 x + 12
2 quarters = $0.50 9 dimes = $0.90 2 nickels = $0.10 6 pennies = $0.06 ---------------------------- 19 coins = $1.56
2500(3/200) = ?
If simple interest, 2000(1+3r) = 2963 r = 16% If annually compounded interest, 2000(1+r)^3 = 2963 r = 14%
x - 3/5 x - 1/6 x = 14 7/30 x = 14 x = 60 check: 36 on bag 10 on belt leaves 14
maybe graphically. you can see the graphs here: http://www.wolframalpha.com/input/?i=solve+50000+*+1.07^x+%3D+70000+*+.96^x+ Hard to see how you're working with exponentials, but not yet logs.
First off, 7% growth means that each year there is 1.07 times the population. So, we need to find when 50000 * 1.07^x = 70000 * .96^x (1.07^x/.96^x) = 70000/50000 (1.07/.96)^x = 1.4 x log(1.1146) = log(1.4) x = log(1.4)/log(1.1146) x = 3.101 so, after about 3 years the populat...
just find two numbers where one is 3 more than the other: 1,4 7,10 etc. Then use them to make the factors (x+1)(x-4) = x^2-3x-4 (x+7)(x-10) = x^2-3x-70 etc. so b becomes -4,-70, etc.
#1 adjacent angles need one side in common So, ∠CBX and ∠FBC (or, to see it more easily, ∠CBX and ∠CBF) #2 No diagram, but if they are alternate interior angles, they are equal. #3-#6 No diagram. How do you expect any help? #7 7*180 = ? #8 360/8 = ? #9 ...
ar^2 = 24 a + ar = 288 so, we have r^2 = 24/a a + a√(24/a) = 288 a = 216 r = 1/3 (b) you want S8-S3, so just plug in your formula for Sn = a(1-r^n)/(1-r)
let A be at (0,0) Then if B is at (xb,yb), the length of AB is √(xb^2 + yb^2) Then, if C is at (xc,yc), the midpoint of AC is (xc/2,yc/2) and the midpoint of BC is at ((xb+xc)/2,(yb+yc)/2) If M is the midpoint of AC and N is the midpoint of BC, then the slope of MN is ((...
There are 2pi radians per revolution so, 3rev/s * 2pi rad/rev = 6pi rad/s
y = (-5x+4)/(10-5x) = (4-5x)/(10-5x) At x=2 there is a vertical asymptote, since 10-5x=0 As x gets large, y -> 1 since y = (4/x - 5)/(10/x - 5) -> -5/-5 = 1
we have two points, so the equation for the line is (g-8) = (17-8)/(47-28) (m-28)
12 l/min = 200 ml/s = 200 cm^3/s since the area of the base is 50cm^2, the height is changing at 200 cm^3/s / 50cm^2 = 4 cm/s = 40 mm/s
11/8.5 = 1.294 77/53 = 1.452 So, the 8.5x11 paper is closer to square than the 53x77 paper The scale will have to be such that the height of 77cm will fit in 11in That is 11in:77cm or 1in:7cm = 2.54:7 = 1:2.75
what would be the best resource to learn more bout martial arts. a- phone book b- dance studio c- local bait shop d- public golf course my answer is a
max at t = 3
the roots are x = -[(2m-1)±√(6m^2+m+4)]/(2m+3) The product of the roots is -(m+1)/(2m+3) If that is negative, then (m+1)>0 and (2m+3)>0, so m > -1 (m+1)<0 and (2m+3)<0, so m < -3/2 If the roots are reciprocals, then -(m+1) = 2m+3 3m = -4 m = -4/3
trig - dang it!
think twice, type once... 100/w = tan 79°
w/100 = tan 79°
If school A has a boys and b girls, and school B has c boys and d girls, then a/c = 2/1 b/d = 4/5 a+b = c+d we want to find a/b a = 2c 5b = 4d a-c = d-b a-(a/2) = (5b/4)-b a/2 = b/4 a/b = 2/4 = 1/2
CALCULUS PLEASE HELP!!!
as you know, the average velocity is the integral divided by the time interval. Since the position is the integral of the velocity, the average velocity in [a,b] = (s(b)-s(a))/(b-a) So, we have i) (s(2)-s(1))/(2-1) = (2sin2π+3)-(2sinπ+3) = 0 ii) (s(1.1)-s(1))/(1.1-1)...
If the fast pump fills the tank in x minutes, we have 1/x + 1/2x = 1/18 x = 27
we want to know whether leasing fits the budget. 275 + 10500*.04 + (10500/500)*5.00 = 800 Better find some way to save $50/month
Algebra - correction
oops, the $40 is a cost, not a profit x(2.50-1.75) - 40.00 >= 550.00 x >= 754
For x magazines, we need x(2.50-1.75) + 40.00 >= 550.00 x >= 680
surely your text explains that the area of a rectangle is height times width triangle is 1/2 times height times width a web search will provide copious examples and explanations
College Algebra - incomplete
pick a value for y and substitute it in to get x.
18 = 2 * 3^2 42 = 2 * 3 * 7 so, LCM = 2 * 3^2 * 7=126
Well, since the first three terms shown add to 47, you got me. Now, if we continue, with the difference increasing by one each term, we get 18 16 13 10 5 -1 ... If we add terms 2 through 5 we get 44. An odd problem, and, I suspect, garbled in transit.
x^4 + 9x^3 + 31x^2 + 49x + 3 = 0 I see no rational roots, so you will have to fall back on your favorite numeric method to approximate them. Some data about the function can be found here: http://www.wolframalpha.com/input/?i=x^4+%2B+9x^3+%2B+31x^2+%2B+49x+%2B+3
do a rough comparison: 1/8 is much less than 1/2 5/12 is almost 6/12 = 1/2 9/10 is almost 1, which is > 1/2 convert to decimal: 1/8 = 0.125 5/12 = 0.417 9/10 = 0.900 convert to LCD(8,10,12) = 120 1/8 = 15/120 5/12 = 50/120 9/10 = 108/120
vertical: v = at = -9.8(1) = -9.8 horizontal: constant at 100
t^2(t+1) - t(2t^2-1) t^3+t^2 - 2t^3 + t -t^3 + t^2 + t
x = 19.4 cos 235° y = 19.4 sin 235° multiply by -2 to get the x,y of -2r. multiply 19.4 by 2 to get the magnitude
six toppings means that there are 2^6=64 ways to select them or not.
well, since the last term is 11a, I don't see how a^2 could be a factor. The only number or power of a which divides every term is just a.
Calculus & Vectors
240 * 1.25 = 300 @ N20W = <-102.6,281.9> 240 * 2.00 = 480 @ N80E = <472.7,83.4> add 'em up to get <370.1,315.3> So, the distance back is 486.2 300+480+486.2 = 1266.2 km at 240 km/hr = 5.3 hours
if the integers are x-2,x,x+2, then 2(x-2) = x+2-1 2x-4 = x+1 x = 5 so the numbers are 3,5,7
I guess the foxes were factored in when calculating the surviving rabbit population, eh?
calculus - and?
in the words of Larry King, "What's the question?"
no 3x^2+4x = x(3x+4) you cannot add coefficients of unlike terms and then multiply their powers. 3x^2 + 4x^2 = 7x^2 3x^2 * 4x = 12x^3
just add up the distances: 255 m mighty slow walkin', I must say...
a+c = 560 2.25a + 1.25c = 916 now just solve for a
since the horizontal speed is the same and does not change, since stone A went 4 times as far, building A is 4 times as tall.
initial speed is √(2.5^2 + 5.7^2) The direction is problematical, depending on where the friend stands. If directly below the balloon, its direction appears horizontal. If sufficiently far to the side, then it will appears as being at an angle θ such that tanθ ...
math - bogus
This is not an identity as written. To be so, you would need (a-ab+b) = 1 which is clearly not true for most values of a and b. Fix it up and maybe we can get somewhere.
well, we know that x = 3t+6, so use it: 4(3t+6)+3t = 9 12t+24+3t = 9 15t = -15 t = -1 so, x = 3t+6 = 3
LCM(7,8,9) = 7*8*9 so, we have 3/8 = 3*7*9/7*8*9 = 189/504 2/7 = 2*8*9/7*8*9 = 144/504 4/9 = 4*7*8/7*8*9 = 224/504 Now you should have no problem
2*340/5 = 136
y=9x-9 That's called the slope-intercept form, so read off the slope.
y-6 = -8(x-5)
every hour it fills 1/9 and drains 1/22 1/9-1/22 = 13/198 So, it will take 198/13 = 15.23 hours
If you mean ∫[x,4] x/(x-4) dx that's a bit unusual to have the variable of integration as one of the limits. But ok, let's work it out as-is. ∫x/(x-4) dx = x + 4 log(x-4) Evaluating that at 4 and x, we have (4+4log(0))-(x+4log(x-4)) Looks like -∞ to m...
If you came up with 36,48 you are correct
Algebra 1 Answer Evaluation (Reiny)
#1. Nope 2^6 = 64 (2*2*2*2*2*2) 2^-6 = 1/2^6 = 1/64 #2 ok #3 where did the y's come from? When dividing, subtract exponents x^4/x^-6 = x^(4-(-6)) = x^10 #4 negative exponents indicate reciprocals. As a shortcut, they mean the item switches top and bottom in a fraction a^-3...
236-214 = 22 22/214 = 0.1028 so, just convert that to a percentage
I like C For Elisa, it would depend on how she was asking. If it was just a question, I'd say (C) or maybe (A). But if she was belligerent and challenging, (B) or (D) could easily be the answer. Dunno about modernist writers.
I = Prt, so P(.08)(2) = 300
and you are correct
If 1 side of a triangle is 10 inches and the same side in a 2nd triangle is 20 inches. A 2nd side is 4 inches in the 1st triangle what is the same side in the 2nd triangle? My answer is 8 inches
"to work" is a prepositional phrase. "to" is both a preposition and a part of the infinitive construct. It can be confusing... Look up diagramming sentences on line, and you may learn quite a bit about the construction of sentences. It used to be taught as ...