Thursday
January 29, 2015

Posts by STEVE


Total # Posts: 28,475

algebra
Hmm. It occurs that you might have meant that 4b = b+12 so, b = 4 baby is 4, sitter is 16
January 15, 2015

algebra
s = 4b+12
January 15, 2015

Science Ms. Sue?
Looks like C to me A: winter is approaching B: ditto D: either a day or a year has passed, depending on the revolution. C happens as the axis tilts toward the sun, which would cause all the effects listed.
January 15, 2015

calculus
homework dump alert! I did a couple of these above. Do you have any ideas of your own we can check?
January 15, 2015

Algebra
well, divide each term by 3x^2 6x^3/3x^2 = 2x 24x^2/3x^2 = 8 So, the result is 2x-8
January 15, 2015

math
(3/4)(15/2) = 45/8 or 5 lb 10 oz
January 15, 2015

math
(4.50/60 * 25.0 * 5280)/45.0 = 220 cars
January 15, 2015

math
Hmmm. 36+48 ≠ 72 also, 6in/72mi is a scale of 1:760320
January 15, 2015

math
clearly, it is 6in:72mi Now you just have to figure out how many inches in 72 miles and rewrite the scale in just inches. (B) 2 inches on the map. 1/3 as far on the map, 1/3 as far in real life: 24 miles.
January 15, 2015

math
first get rid of the (x-y): (x-y)(4(x-y)^2-1) Now you have a difference of two squares, so (x-y) (2(x-y)-1) (2(x-y)+1) ...
January 15, 2015

Math
that would be a good first step.
January 14, 2015

trigonometry
Consider your answer. The angle traverse is quite small. Will it really rise more than its entire length? Draw a diagram. after swinging through an angle θ, the distance from the top is 1.8cosθ. So, the amount it has risen is 1.8(1-cosθ) I suspect you used r(1+...
January 14, 2015

Math
ln 35.3595 = 152r
January 14, 2015

Math
Both look good to me, but not sure about #1.
January 14, 2015

Logarithms
since log_u(x)/log_v(x) = log_v(u) and log_u(x) = 1/log_x(u), we have log_a/b(a) = 1/log_a(a/b) = log_a(a) + log_a(1/b) = 1 + log_a(1/b) If those two properties of logs have not yet been delivered to you, work to convince yourself that they are true. I'm sure you can find ...
January 14, 2015

math
Looks like C to me 6/12 = 1/2 = 1:2 2.5/5 = 1/2 = 1:2
January 14, 2015

Math
once the two checks have cleared, his balance at the bank will be 56.75 - 5.00 - 13.25 = 38.50 His checkbook shows 87.37-38.50 = 48.87 more than that. Looks like (A) as you said.
January 14, 2015

math
Just write what that means: .36x = 25200 So, divide by the 0.36
January 14, 2015

math
since y can be expressed in two ways, set them equal: 4x = 2x^2 4 = 2x x = 2 Now you can find y easily.
January 14, 2015

math
equate the two functions, since they are both y: 8x+7 = -x^2-5x+7 x^2+13x = 0 x(x+13) = 0 . . .
January 14, 2015

math
that would be where 9x-4 = x^2+7x x^2-2x+4 = 0 That has no real solutions, so I suspect a typo. See that the graphs do not intersect: http://www.wolframalpha.com/input/?i=plot+y%3D9x-4+%2C+y+%3D+x^2%2B7x Now, the line y=9x+4 does intersect the parabola.
January 14, 2015

calculus - oops
d/dx cos^-1(x) = -1/√(1-x^2)
January 14, 2015

Algebra 1
The size of a certain cell is 2.5 * 10 to the -9 power m. Another cell is 1.5 * 10 to the 3rd power larger. How large is the larger cell in scientific notation? my answer is 3.75 * 10 to the -6 power m
January 14, 2015

Algebra 1
What is the simplified form of (-3x to the 3 power y squared) (5xy to the -1 power)
January 14, 2015

Algebra 1
What expression is equal to 1/8000 written in scientific notation? My answer is 1.25X 10 to the negative 4 power.
January 14, 2015

Math
since the cord costs less than $1/meter, and you bought less than 5 meters, how can it cost more than $5? 4.58 * 0.98 = 4.49 How did you come up with $5.83?
January 14, 2015

Math
6(4) + 6(x) = 24+6x
January 14, 2015

math
0.9p = 1.08c p = 1.08/0.9 c = 1.2c so, the price is a 20% markup before discount
January 14, 2015

math
commutative property is for addition and multiplication. I guess it also applies to Boolean logic, but I fail to see how your "answer" relates to that. I ate dinner and read a book. is the same as I read a book and ate dinner.
January 14, 2015

math
you are correct
January 14, 2015

math
log(u/v * s/t) = log(su/tv)
January 14, 2015

math
well, start listing them: p = 1 n = 5 d = 10 q = 25 pp = 2 pn = 6 ... ppnnndqq = 77 Now count them up, after eliminating duplicate amounts
January 14, 2015

Algebra 1
(-m) to the-3 power n if m =2 and n = -24
January 13, 2015

Algebra 1
Thank you
January 13, 2015

Algebra 1
Simplify -(14x) to the 0 power y to the -7 power z
January 13, 2015

math - pls check!!!
looks good, except for the standard form. That would be 3x + 8y = 23
January 13, 2015

math
these are the squares of 2,3,5,7,11,13 An odd sequence, unless you note that these are the primes. The next prime is 17, so the next term is 289
January 13, 2015

Math - Trigonometry
If you understand since functions, you must understand this. The height of a point on a rotating circle is ha sine (or cosine) function. The question does not state at what point to start measuring, so we will start with the car at its lowest point at t=0. Since cos(t) is a ...
January 13, 2015

maths
v = 4/3 pi r^3, so the tank can hold 1/2 * 4/3 * pi * (3/2)^3 = 7.07 m^3 of water So, it will take 7.07 m^3 / (25/7 L/s) to drain I'll let you do the conversion from m^3 to liters.
January 13, 2015

Algebra
do a little multiplying and you have 8h + 6f = 16.80 15h + 6f = 27.30 Now subtract to get rid of the f's and you have 7h = 10.50 h = 1.50 Now you can figure f.
January 13, 2015

math
If there are m math questions which take 2x minutes each, and e english questions which take x minutes each, 2xm + xe = 60 2xm/xe = 8/7 14xm = 8xe 7xm=4xe 7m=4e m+e = 22 x(2m+e) = 60 x(8m+4e) = 240 x(15m) = 240 xm = 16 2xm + xe = 60 32 + xe = 60 xe = 28 xm+xe = 22x 16+28 = 22x...
January 13, 2015

math
don't be put off by all the words. Just write each fact down as math. You have several amounts: a,b,c,e,g. 2a = 3c = 4e 5b = 6e = 8g Since the LCM(2,3,4) = 12, 2a,3c,4e must be a multiple of 12 Since LCM(5,6,8) = 120, 5b,6e,8g must be a multiple of 120 Now, if 4e is a ...
January 13, 2015

Math
the LCD is 4x. So, that gives you 2(x-3)/(4x) - x(4x+3)/(4x) = [2(x-3)-x(4x+3)]/(4x) = (2x-6-4x^2-3x)/(4x) = -(4x^2+x+6)/(4x) That's about as far as you can take it.
January 13, 2015

Algebra
#1 is an example of why we always set factored expressions to zero. If the product of several factors is zero, one of the factors must be zero. So, we must have one of the following: x^2+5 = 0 Cannot happen x^4+3 = 0 Cannot happen 100x^2-10 = 0: x = ±1/√10 100x^2+...
January 13, 2015

Math
correct!
January 12, 2015

Math
x + x+13 = 93
January 12, 2015

Calculus
Hmmm. I'd say it's 12 feet tall h = 12
January 12, 2015

Math
If $x is at 7.5%, then the rest (10000-x) is at 9%. So, add up the interest: .075x + .09(10000-x) = 849 ...
January 12, 2015

Calculus
oh, come on. f' is the slope of f. So, if f' > 0, f is increasing. f" indicates concavity. If f" > 0, the graph of f is concave up. Have you not read any of your text?
January 12, 2015

Calculus
in general, you cannot. You can, however, tell where f' is positive or negative or zero, or where f" is positive or negative or zero.
January 12, 2015

Math
Nope. (-2)^2 = (-2)(-2) = +4 Similarly, (-y^2)^2 = (-y^2)(-y^2) = +y^4
January 12, 2015

math
well, how many different ways can the dice turn up? How many of those have two 1's?
January 12, 2015

MATH
You have a point (15,450) and a slope (4), so the line should be p-450 = 4(x-15) I'd say (B) with a typo
January 12, 2015

Math stem question
the equation is correct.
January 12, 2015

Math
(50/x)*80
January 12, 2015

Geometry
since the arc lengths are the same, 90r = 60w So, r/w = 2/3 Since the areas vary as the square of the radii, R/W = = (r/w)^2 = 4/9
January 12, 2015

Math
3s+9c = 75 8s+5c = 67
January 12, 2015

Math
correct
January 12, 2015

Algebra
-2 ≤ d + 0.5 ≤ 4.5 -2.5 ≤ d ≤ 4.0
January 12, 2015

Math
so, did you use your calculator? What did you get? Just plug in the numbers as given you.
January 12, 2015

Math
If 6 are boys, then the other 12 are girls, so 12/18 = ...
January 12, 2015

AP Physics
all the kinetic energy is converted to potential energy, so 1/2 mv^2 = mgh or, h = v^2/2g
January 12, 2015

math
in hundredths, you have 8/100 60/100 70/100 Looks like they're already in order...
January 12, 2015

Math
well, just plug in t=3
January 12, 2015

Algebra
y = 1/3 x + 26/3
January 12, 2015

Algebra
just look up the point-slope form. You will see that the equation is y+2 = 1/2 (x-5)
January 12, 2015

Math
the speed (distance/time) is constant, so that means 5/37 = 25/m None of the choices matches that exactly, but it is easy to see that (C) is the same equation.
January 12, 2015

Math
If you really want to use the index as you did, just type 2root or 3root. "square root" always means index of 2.
January 12, 2015

Math
in that case, yes. If there is no index, 2 is assumed. Online, its usually better to say sqrt for square root cbrt for cube root 4throot, 5throot, etc. x^(1/n) for the nth root. It's too easy to mistake the desired index for a multiplier.
January 12, 2015

Math
the two temperatures are equidistant from their average, (10.4+7.6)/2 = 9.0 So, you have |t-9.0| = 1.4
January 12, 2015

To: Anonymous and all others
Well done, student! These are model posts of homework problems. The problem is clearly written, possible answers are given (optional, of course), and the student's answer is noted, along with an indication of the solution method. If actual work had been shown, that would ...
January 12, 2015

math
1/12 + 1/x = 1/4 x = 6 so, 6 hours for the friend.
January 12, 2015

Math
well, since 0.7 = 7 * 0.1, add up seven times 1/10 of 0.7. That is, divide the 0.7 into ten equal pieces, and add up 7 of them. divide 1/4 into 5 equal pieces. Add up 4 of them.
January 12, 2015

algebra 2 help
3|x+4| = 8 |x+4| = 8/3 so, x is 8/3 away from -4, either + or - A is the solution to |x+4| = 6 or 3|x+4|=18 B is the answer to |x| = 2 C is the answer to |x+4| = 15 D is the answer to |x+18| = 4 If you have a typo, the answer may be (A) And if you can't even spell "...
January 12, 2015

chemistry
does HCl dissolve Al2O3? It probably reacts with it, instead. If that's what you meant, then figure how many moles of Al2O3 you have, then check the reaction to see how many HCl it takes to react with one Al2O3. Then you will need that many moles of HCl. Convert that back ...
January 12, 2015

Maths literacy, accounting, economics and business studies
It certainly looks like good preparation. Especially the Accounting course ...
January 12, 2015

physics
Since there are 86400 seconds and 40030 km in the earth's circumference, the plane must travel 40030/86400 km. Assuming east-west travel at the equator. I assume that the question is ignoring the truly minuscule relativistic effects of such a slow speed. Also, what are the...
January 12, 2015

Please check my Calculus
all look good to me. No reason to be unsure on #2. Just the chain rule. If u = 3x, y=sec u y' = secu tanu u'
January 12, 2015

Geometry
min diam = 39.5 max diam = 40.5 area = pi d62, so plug in the values for d. Use the two values for d to get the dimensions of the box. The box's sides must equal the ball's diameter, right?
January 12, 2015

Geometry
they are the sides of the drum. Their area is circumference * height.
January 12, 2015

Please check my Calculus
#1 there are 4 points of inflection, so (E) #2 f = x^2-4x+7 f has a min at x=2, so C or D f(0) -> 7 f(3) = 4 So, (d) #3 is correct On stuff like this, it is always helpful to verify your calculations with a graphing utility, of which there are many online.
January 12, 2015

Please check my Calculus
#1,2 are ok #3: f' = 16/x^2 16/x^2 = (8-2)/6 = 1 x^2=16 x=4 in [2,8] So, (A) is correct
January 12, 2015

Please check my Caclulus
#1 ok #2 h' = (f'g-fg')/g^2 = (6*1-0*1/3)/1 = 6 So, B is correct #3 f' = -(x^2+2)/(x^2+x-2)^2 f' < 0 for all x So, (D) is correct
January 12, 2015

math
since you got -1 for your final answer, did you try it to see whether it works? How about y=0? (0+1)(0/(1-0)) = 0, not -1 assuming you meant (y+1)(y/(1-y^2)) (y+1)(y) / (1+y)(1-y) y/(1-y)
January 11, 2015

math
√(4/3) - √(3/4) 2/√3 - √3/2 2√3/3 - √3/2 4√3/6 - 3√3/6 √3/6 (C)
January 11, 2015

college pre-calculus
1 - 1/x = 2 - 2/x 1 - 1/x = 2(1 - 1/x) so, 1 - 1/x = 0 x = 1 so, 3 - 3/x = 3 - 3 = 0
January 11, 2015

Math
(a) You need 3 dimensions for volume. What you have is the area of one of the sides of the box. You need (100-2x)(100-2x)x = x(100-2x)^2 (b) You need the area of the base, plus the area of the 4 sides: (100-2x)^2 + 4x(100-2x) = (100-2x)(100+2x) (c) Now that you have the two ...
January 11, 2015

physics
If the gun were fixed in place, all the momentum would transfer to the bullet, which would then have momentum p = mv = .0551kg * 320m/s But, the gun will recoil, and we have to divide that momentum into two parts. So, if the gun has velocity v, the actual ground speed of the ...
January 11, 2015

Calculus
Since f(x) is not defined for x = ±2, any interval which includes either of those values will not satisfy the theorem. So, A,B,D are all out The only possible choice is C, which is ok, because f(-3/2) = f(3/2)
January 11, 2015

Calculus
Since we know nothing about f'(-4) or f"(-4), we can say nothing about the properties of f there. However, if the change in sign is inadvertent, and all the data are about x=4, since f"(4)=0, x=4 is an inflection point.
January 11, 2015

8th Grade Geometry
since the triangles are similar, we know that the angles A=X, B=Y, C=Z So, 2x+5y = 50 Y = 102-x C = 5x+y Also, the angles have to add up to 180. So, 50+(102-x)+C = 180 (2x+5y)+Y+(5x+y) = 180 Putting all that together, you can get 50+102-x+5x+y = 180 2x+5y+102-x+5x+y = 180 or, ...
January 11, 2015

Calculus
since f'(-2)=0 and f"(-2)>0, (-2,5) is a minimum. (f is concave up there)
January 11, 2015

Area and Perimeter Word Problems
area = 10x, where 2(x+10) = 50
January 11, 2015

Area and Perimeter Word Problems
what is 4700/94 ?
January 11, 2015

Calculus
well, you just find where f'=0 and f"≠0 for extrema f"=0 for inflection points f' = (3x-1)(x-3) so, f'=0 at x = 3, 1/3 f"(1/3) < 0, so f(1/3) is a maximum f"(3) > 0, so f(3) is a minimum f"=0 at x = 5/3, so there's an ...
January 11, 2015

Calculus
Check out the graph, and scroll down to information on the extrema at http://www.wolframalpha.com/input/?i=%28x%2B1%29%28x-3%29^2 I think you are doing things right.
January 11, 2015

Area and Perimeter Word Problems
well, 15*15 = 225, so ...
January 11, 2015

maths
the cross-section area of the water is πd^2/8 = 49π/8 So, the water flowing through is (49π/8 cm^2)(2m/s)(10min) = 2309 liters
January 11, 2015

Calculus
Or, you can plot multiple curves to compare them: http://www.wolframalpha.com/input/?i=plot+y+%3D+%3Dx^2%2F%28x^2%2B5%29+%2C+y%3Dx^2%2F%28x^2%2B20%29
January 11, 2015

Calculus
I believe the answer is (A), given the interval [-3,-½]
January 11, 2015

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