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
if a = 81pi, r = 9 if r = 18, c = 36pi
if the height is 8 and the whole base is 20, the the perimeter is 2(8+20) = 56 Can't tell much from the diagram due to browser formatting.
I agree. 24 min. looks correct.
Both are correct, depending on the context. The second question is probably more likely, indicating that you have been working, probably on your own, getting ready for school. The first question implies that someone has been working with you to prepare you for school. So, as a...
Math - Algebra
100t+10u+h = 100h+10t+u + 108
Math - Algebra
8g+18s+7b = 500 8g+14s+13b = 500 16g+6s+9b = 500 gold=20 silver=15 bronze=10 x+y+z = 67 2x = y+3 z-y = 8 The numbers are 13,23,31 (a+e+s)/3 = 93 (e+s)/2 = a (a+e)/2 = s-3 Her grades are 93,91,95
C is true only if the rhombus is a square
B is correct
algebra 2 trig
log 300 = log 3 + log 100 = a+2
The second equation looks a bit off, but assuming there is no typo, then we have 7 = 2-y y = -5 substitute that into the other equation to get y = 8-x -5 = 8-x x = 13
Sn = a(1-r)^n/(1-r), so a(1-r)^4/(1-r) ÷ a(1-r)^8/(1-r) = 1/17 (1-r)^-4 = 1/17 (1-r)^4 = 17 1-r = ∜17 r = 1-∜17 I think rather than S4 you meant T4 S4 is usually used for the sum of the first 4 terms. So, now we have Tn = ar^(n-1) T4/T8 = ar^3/ar^7 = r^-4 = ...
Looks like you have some unintialized variables. Dividing by txt12 before giving it a value will use its default value of zero.
sure. the 2nd equation says that y = 105-x. Substitute that into the first equation to get 1.25x + 0.75(105-x) = 109.75 x = 62 So, y = 105-62 = 43
3 std away from the mean is pretty far out. Less than 0.2% is below that.
(1-x)(xy-1)/y^2 Still not very simple
If we let a = she studies for the exam b = she goes to the market c = she cleans her room d = she practices her sport I) a -> b II) ~c -> a III) ~d -> ~b A) ~b -> ~d B) a -> d (yes - transitivity) C) ~b -> d D) c -> b B is true because the contrapositive o...
pretty sure she must have meant B≠0
Substantial may not mean full tuition. When I applied to MIT, they offered me $2600, but a year's tuition, fees and lodging came to $4100. Luckily, I did obtain a more substantial (full tuition, fees, and board & room) elsewhere. Better check into the details when applying...
Chelle's solution gives the 12th term, but does not show the sum of all 12 terms, which was what was asked.
2+4+8+...+2^n = 2^(n+1)-2
1-4 are all correct For #5, the open circle means it's not A. If a < -2 is the answer (open circle, shading left of -2), then a-3 < -5 is the proper choice.
Draw a diagram. T = top of tower B = base of tower D = point 240' downhill draw a right triangle with hypotenuse TD. Let E be the right angle. From the law of sines, 125/sin 25° = 240/sin ∠T ∠T is angle DTB ∠T = 54° Now you have angle T, since ...
You are correct. Any time you need to divide, you can always multiply by the reciprocal. That is, dividing by 2 is the same as multiplying by 1/2 (or 0.5) In this case, I'm surprised that the question of division even arose, since you knew how many miles you could go on 1 ...
multiply by 0.7 15.4 * 0.7 = 10.8
Heck, the only set of sides which cannot work is 3,3,7 So, list all those with all 3 sides the same, those with two sides the same those with all different sides.
Kyle had 18 so, Jen ate 18
The downward speed is v = √(2as) = 37.84 The total speed is thus √(37.84^2 + 40^2) = 55 m/s The momentum is mv = 9735 kg-m/s
4*7 = 4-7 = -3 2*-3 = 2-(-3) = 5
any odd multiple of 5 ends in 5
A = lw (1.2*l)(1.2*w) = 1.44*lw = 1.44A So, the area has increased by 44%
plug in y: 196x = 28 x = 28/196 = 1/7
first, convert everything to the same units. I expect km/hr would be good here. Japan: 320 km/hr France: 89.44 m/min = 322 km/hr So, any speed between those two would be second fastest.
Since the diagonals of a rectangle are equal, 2x+30 = 36 x = 3
math litracy,history,geography,business studies
Also, take a class in a subject you are unfamiliar with*. I was a math major in my senior year when I decided to try a 1-credit-hour computer class. I fell in love, went on to grad school in computer science, and have had a long and happy career in software development. * like...