well, maybe they're as accurate as your spelling... Your very first line is in error: should be -3x^2 toward the end. Fix that, and everything's ok. If you visit wolframalpha.com and enter derivative (x^2 + 2x - 6)^2 (1-x^3)^2 you will get several different ways of wri...
a <= 80 b <= 45 15a+25b <= 1500 40a+20b <= 3000 250a+350b >= 6000 a = 25 b = 30 is one solution
If the two numbers are a and b a-b=0 3a-2b = 18 since a=b, 3a-2a=18 a = 18 So, b=18
when 500000(1.0375)^n = 1000000 or, less cumbersome, 1.0375^n = 2
(x+1)*(3x)*(4-x) = -3x^3 + 9x^2 + 12x
pre-calculus - typo
Scratch all that, since s = d/√3 v = s^3 = d^3/√27 a = 6s^2 = 2d^2
d^2 = 3s^2 so, s = (d/3)^(1/2) v = s^3 = (d/3)^(3/2) A = 6s^2 = 2d
Help please! Math
12-10 = 2 2 years = 2.25 std below the mean. So, check your Z table for P(Z<-2.25)
Help - Math
60/80 = 75%
math - incomplete
if all you have are those three pairs, it's possible to have lots of functions that fit. Why do you think f(2) = 2, when the table says f(2)=3? There must be more to the problem than you have said.
perimters: triangle = 30 square: 60 ant walks 60 m in same time, beetle walks 2.5*60 = 150 m 150/60 = 2.5 laps or, just notice that the distance walked by the ant is one lap of the square, so the beetle, walking 2.5 times as fast, walks 2.5 laps on the square.
AC*AD = 80, so AC = 20 AD=CE=4 CE*BC/2 = 30, so BC=15 AB+BC=20, so AB=5
x = ((.65+.25)(3/2)+1.50)(2) = 5.70 check: start: 5.70 after lunch: 2.85 after magazine: 1.35 after bus: .90 after brother: .65 Or, working from the other end, (x/2-1.50)(2/3)-.25 = .65
g(x) = (x-1)/(x+2) If by g^2 you mean g(g(x)), then g(g) = (g-1)/(g+2) = ((x-1)/(x+2) - 1) / ((x-1)/(x+2) + 2) = -1/(x+1)
9.8x10^2 cm = 980cm = 9.8m So, the rate of flow is pi*4.9^2 m^2 * 5m/s = 377 m^3/s
Good reasoning, but it seems like a lot of work, since simply recognizing "against" as a preposition would have done the job. Now if you can just work on the use of apostrophes, that will be real progress...
for a nice online worksheet that does proper formatting and shows all the details, try calc101.com and click on the "long division" button.
#1. Makes no sense to average jersey numbers #2. Order the scores to get 664 693 698 714 751 753 779 789 802 818 834 836 mean: 760.9 median: 752 mode: all are modes midrange: 750 don't look consistent to me #3. .60(92+83+77+84+82)/5 + .10*88 + .15*95 + .15*77 = 84.76 #4. (...
If the 2nd term is really +3.2, then the next one is -204.8
x+y <= 95 y >= x+20
sin(A+B) = sinAcosB+cosAsinB divide that by cosAcosB and you have sinA/cosA + sinB/cosB
tan(A+B) = (tanA+tanB)/(1-tanAtanB) tan(A-B) = (tanA-tanB)/(1+tanAtanB) so, tanA+tanB = tan(A+B)(1-tanAtanB) tanA-tanB = tan(A-B)(1+tanAtanB) divide the two and you have tan(A+B)/tan(A-B) * (1-tanAtanB)/(1+tanAtanB) multiply top and bottom by cosAcosB nad you have tan(A+B)/tan...
Since A = pi*r^2 9A = pi*(3r)^2 That is, the radius grows by a factor of 3 So, since C = 2pi*r, it also grows by a factor of 3. Just so you know, if the linear value grows by n, the area grows by n^2 the volume grows by n^3
there are tutoring chatrooms, but not here. To play around with derivatives and much more, visit wolframalpha.com. For this problem, enter derivative (x) / ((x^2)-1)^(-1/2) and it will show you (2x^2-1)/√(x^2-1) and you can click on the "step-by-step solution" ...
2π(2r) / 2πr = 2
3s*3s / s*s = 9
x/2 + x + x/2 + x = 3x
13%+17% = 30% who quit So, 210 were the remaining 70% 210/.7 = 300 13% of 300 = 39
What Does This Mean?
I think you're overthinking the question. Surely hamsters-in-a-cage is a source of energy, but not likely one you could or would choose. So, pick 3 real available sources, such as coal, electricity, nuclear, geothermal, etc. Then name one of those 3 as your "ideal&quo...
efgh has half the area of abcd, so its side is 6/√2.
integrated physics and chem
Just thinking of NaCl, I'd have to go with A.
hint: heard of noble gases?
Consider the right triangles with AD and BC as hypotenuses. Their height is the same, so their base legs are also the same. So, with all three sides congruent, the angles are also congruent.
math - incomplete
no way to know, without more information on previous pay or number of employees.
We'd rather hep you solve problems than just provide answers. If you want us to verify your calculation, then tell us what you got. Even better, show what you did, so if you go wrong somewhere, we can help you understand the problem. There are, sadly, some who just want to...
1/3 of 6 dozen fruits are apples = 2 dozen apples. 1/4 of 6 dozen fruits are oranges = 1 1/2 dozen are oranges. 2 dozen apples 1 1/2 dozen oranges 6 - 3 1/2 = 2 1/2 dozen bananas
math - Confusion
Ahh. The first Steve who answered was not the same as the second one. I may have to change my moniker if this gets too confusing...
no, p > -3 adding or subtracting does not change the direction of the inequality. (Also, p < -3 was not one of the choices.)
m - 7 < 6 m -7 + 7 < 6 + 7 m < 13 p + 12 > 9 p + 12 - 12 < 9 -12 p < -3
v + (v+17) = 41 v = 12 so, truck = v+17 = 29
3800 = 2n-200 n = 2000 north: 2000/64 animals/acre south: 3800/35 animals/acre
29 is almost 30 1/3 of 30 is 10
Or, consider this. Suppose 4/0 = x for some value of x. To clear the fraction, we get 4 = 0*x But 0 times any number is zero. So, there is no possible value of x for which 0*x = 4. (Or any other nonzero value)
is that a week of 5 days, or 7 days?
use the good old distance formula. d = √(x2-x1)^2 + (y2-y1)^2)
Math help Please
and we have a winner!
Introduction to Computers
http://en.wikipedia.org/wiki/MS-DOS I think you can find your answer here.
since distance = speed * time, 50x + 40(1-x) = 48
g(x) = x^2+4 g(1/2) = 1/4 + 4 = 4.25 1.4g(1/2) = 1.4*4.25 = 5.95
Sure. Consider a step function. [x] is the greatest integer less than or equal to x. For example, [1.3] = 1 [1.9] = 1 Now consider the domain as the interval [1,2] The domain is the whole interval, with infinitely many values, but the range is a single value: y=1 Such a step f...
y = a(x-1)/(x+1) (x+1)y = a(x-1) xy + y = ax - a xy - ax = -y - a x(y-a) = -(y+a) x = -(y+a)/(y-a)
no, you can add and subtract anything without flipping the direction. Only if you multiply or divide by a negative value does the direction change. It's really just a shortcut to moving things to the other side: -2x < 8 0 < 8+2x -8 < 2x -4 < x That's the sa...
x^2 - 8 > 0 x^2 > 8 That should help.
complementary angles add up to 90 degrees. So, what do you have to add to 30 to get 90?
membership is a benefit when 15+2n < 3n where n is the number of movies rented in a year.
a = bh/2 Since b = 2h+8, a = (2h+8)h/2 = (h+4)h = h^2+4h
check the differences: #15: -64,-32,-16,... #16: 0.25,0.25,0.25,... Looks like #16 is Tn = 2.75 + 0.25n
You know car A's distance and speed. Since distance = rate * time, 18 = 30 * time time = 18/30 hours Do likewise for car B The figure the time difference.
not sure what the _ means, nor the 5x8 Do you mean 5x^8 = 5x^2 + 5x + 40 ? I hope not, since that's very hard to solve.
you know that x/(x+3) is undefined at x = -3 since √n is defined only for n >= 0, we need x/(x+3)-5 >= 0 x/(x+3) > 5 x > 5x+15 -15 > 4x -15/4 > x So, the domain is all reals less than -15/4. Note that this automatically excludes x = -3.
Math 2 questions :/
If you mean 3x-3 = -4x 2y+4-y = 16 7x+5 = 4x+5+3x 6y - 2 = 2(y-1) Then the 3rd one is the same on both sides, so it has many solutions. Any value of x will work. n-6 >= 2
If y varies directly with x, then y/x = k and remains constant. 6/8 = 3/4 How about the other pairs?
Hmmm. If you need more than you have, do you have enough?
C'mon, kristin, think for a second. You have 60 oz. You need 64 oz. Do you think you have enough?
well, since 4 lbs = 64 oz, the answers should be clear.
Looks like -4x
Since 582416035 is not divisible by 11, neither is any factor of it. If it were divisible by 11, then of course 1 would be the least whole number for which 582416035/n is divisible by 11. So, I suspect a typo or garbling of the question.
math help ??!!
so, why be coy? Ask us to check your answer, and let us know what it is. In fact, you might even show your work, in case you went wrong.
If x is the height of the rectangle, with base along the leg of length 4, then A = 4/3 x(3-x)
yes, both are incorrect...
The copy/paste font mangles things, but I'll take a crack at it. #4 m-7 < 6 m < 13 #5 y+5 <= 7 y <= 2 #6 p+12 > 9 p > -3 #7 x-5 >= 9
455000RM * 1m^2/14.50RM * 1hectare/10000m^2 = 455000/(14.50*10000) = 3.14 hectare
two ways to do this: the hypotenuse is √89, so the other two angles are arcsin(8/√89) and arcsin(5/√89) Or, using the law of sines, if the right angle is C, we have 1/√89 = sinA/5 = sinB/8 The calculation gives the same results for angles A and B.
y = [x/4] where [n] is the greatest integer less than or equal to n.
You have to specify your domain. For log(x-1) you need x>1 For log(1-x) you need x<1 May times you will find it written that ∫ dx/x = log |x| + C just for this reason.
Hmmm. I see I did make an error, since 4n would be 4,8,12,16,.... I have no idea how to get from 4 to 2916 in at most 35 terms, given the slow start. It does not appear exponential. I could of course insert any required number of terms, but the rule would be awkward.
Since the nth term is 4n, and 2916 = 4*729 It appears that there are 729 terms.
Math urgent help please!!
cube of side s: area = 6s^2 volume = s^3 sphere of radius r: area = 4 pi r^2 volume = 4/3 pi r^3 So, solve for s or r given that the area is 500, then plug that value into the volume formula.
reflection through x=a moves (x,y) -> (a-(x-a),y) Similarly for y=b. So, (0,0) -> (2a,0) -> (2a,2b)
7/10 > 1/2
math help please
Assuming the usual carelessness, and considering the apparent level of difficulty, I'd say we have 4 2/5 x = 12 1/10 22/5 x = 121/10 44/10 x = 121/10 x = 121/44 = 2 33/44 = 2 3/4 (B)
Health (Ms. Sue)
Health (Ms. Sue)
Health (Ms. Sue)
any< b > way you
The distance between the two points is √(16+16) = √32 So, the hypotenuse is √32*√2 = √64 = 8
LCM(3,4) = 12 He could make 3 vertical strips on each rectangle, then 4 horizontal strips on them. That way he would have the same number of small areas, and by shading in the horizontal strips on one and the vertical strips on the other the fractions involved could be used.
the 5-12-13 right triangle is one of the most commonly used ones. So, you have a 5m-12m-13m triangle. Or, you may have one with sides 5m,√119 m,12m but usually the hypotenuse is not called one of the "sides" in a right triangle.
Homework - Math
Just divide each term Also, you have the order reversed. 5m^3n - 10m^2n^2 divided by 5mn is m^2 - 2mn #2: 3a^3 - 2a #3: -4a^2 + 2ab - 3b^2 Review your rules for adding/subtracting exponents
It appears you have a typo. You probably mean 8% on sales above $1000, since he earns 5% on the first $1000. So, if he sells $2500, that's $1000 + $1500, so he gets 5% of $1000 plus 8% of $1500, or .05 * 1000 + .08 * 1500 = 50 + 120 = $170 How ever did you get $500? That...
could be linear feet off a long roll. Doesn't really matter, does it? It's still 965 * .125
70+180 = 250
1. Think about reciprocals. 1/x is smaller if x is larger. So, a max of f(x) is a min for 1/f(x) 2. If the leading coefficient is positive, f(x) has a minimum (the parabola opens upward), and vice-versa for negative. 3. Since a parabola grows without bound, its reciprocal shri...
her heels are tipped with black rubber?
first, it's the Pythagorean Theorem. Any web search will give you many many illustrations of it.
no way. The third side can be anything less than the sum of the other two.
solve just like an equation, but using the inequality symbol. 2x-1 < 7 2x < 8 x < 4 5x+3 < 3 5x < 0 x < 0
since a = bh/2, we have h = 2a/b = 2*15/5 = 6 for a circle, a = pi r^2 = 9pi
Just multiply everything in either of your equations by -1 to see that they are really the same equation. 2x = 4 is the same as -2x = -4
since a = s^2 2a = (√2 s)^2 so, the side grows by √2 check: if a = 2, s = √2 if a = 4, s = 2 = √2 * √2