Thursday
August 27, 2015

Posts by STEVE


Total # Posts: 33,098

Geometry/Steve
78.5 = 25π, so r=5 (2-2)^2 + (-9-4)^2 = 13^2, so D is wrong (A) (-6-2)^2 + (4-4)^2 = 64, so nope (B) (2-2)^2 + (-1-4)^2 = 25 we have a winner you can check (C) if you want.
August 27, 2015

probability
0.3 * (1-x) = 0.06 x = 0.80
August 27, 2015

C++
write a prompt, then read in a real, an integer, and a real
August 27, 2015

Geometry
the length is correct. But the midpoint is -2+7 = 5. 5 = -2+7 = 12-7
August 27, 2015

Geometry
Line pb is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint. My answer would be the total length pf pb is 14 units so the midpoint would be 7.
August 27, 2015

Geometry
explain how you can use a straight edge and a compass to construct an angle that is both congruent and adjacent to a given angle.
August 27, 2015

Geometry
If we call the vertices A,B,C and the opposite sides a,b,c then we have (A): a=3, b=4, c=5 (B): a=6, b=√85 stop right there (C): a=13, b=10√2 stop right there (D): a=8, b=10, c=6 we have a winner!
August 27, 2015

Chemistry
The total masses of S and O are approximately equal, so since O has half the mass/mole of S, that means the empirical formula is probably SO2
August 27, 2015

Geometry
thank you
August 27, 2015

Geometry
What is the circumference of a circle in terms of pi with a radius of 2.2? I know that c = 2 pi * r c = 2 pi * 2.2 c = 2 * 2.2 my answer is 4.4 pi
August 27, 2015

Algebra
actually, that's x ≠ -3y, but it does not affect the final answer. Just sayin' ...
August 27, 2015

Equation - oops. go with Damon
Hmmm. I seem to have disregarded the distributive property ...
August 27, 2015

Equation
just use the quadratic formula: x^2 - bx + b-1 = 0 x = [b±√(b^2-4(b-1))]/2 = [b±√(b^2-4b+1)]/2 If you want an integer solution for b, then clearly b=2 and you have x^2-2x+1 = (x-1)^2 = 0 For a real solution, you need b^2-4b+1 >= 0 or b >= 2+&#...
August 27, 2015

Math
how many even numbers are there? 9 So, P(even) = 9/19 P(4) = 1/19 Now just add 'em up
August 27, 2015

Mathematics
well, 25kg = 25000 = 250*100 g
August 27, 2015

geometry
the 3' border on each side increases each dimension by 6. So, the outside dimensions are 18 by 22 Now you can figure the perimeter, right?
August 27, 2015

Math 10
3^x + 3^-x = 82/9 3^x + 1/3^x = 82/9 (3^2x + 1)/3^x = 82/9 clearly, x=2, but let's go on. 9(3^2x + 1) = 82*3^x 9*3^2x - 82*3^x + 9 = 0 think of this as 9u^2-82u+9, and you get (9*3^x - 1)(3^x - 9) = 0 3^x = 9 or 1/9 x = 2 or -2 aha. an unexpected solution!
August 27, 2015

problem solving.
j-10 = 4(b-10) j = 2b now it's a cinch, right?
August 27, 2015

math - eh?
If you mean 2*(1/2)^(4y) = 1/8, then (1/2)^(4y) = 1/16 (1/2)^1 = 1/2 y = 1 well, that didn't work. As written, you have (sort of) (5/2)^(4y) = 1/8 4y log(5/2) = -log8 That's not getting us anywhere. So, just what did you mean? what's the (2 1/2) doing there?
August 27, 2015

nyakasura school
s = 1/2 at^2, so 1/2 a*64 = 40 a = 80/64 m/s the mass does not matter.
August 27, 2015

math
for any x, x^2 >= 0 so, y >= 9 for all real x. x can, of course, be any real number. D: (-∞,+∞) R: [9,+∞)
August 27, 2015

algebra
Where did the 6 yards come from? If the temperature is constant from 6 to 15 yards, then we have to modify things. We then have at x=18 ft (6 yds), t(x) = 52. t(x) = 70-(2/3)x for x in [0,18] t(x) = 52 for x in [18,45] t(x) = 40+3x for x in [45,60] #5. Clearly you meant (x+3)/...
August 27, 2015

algebra
#4. -8/2 + 4 (____) - 2 -4 + 4x - 2 -6 + 4x that will always be even, so you just want -6 + 4x > 0 4x > 6 x > 6/4 So, any integer greater than 2 will work. #5-7 can be done similarly #8. yes. -16/4 = -4 #9. surely you could easily find out that 3 ft = 1 yd. Geez. So, ...
August 27, 2015

algebra
what's wrong with -6/9? It's just a fraction. Deal with it 3 - 2(4 - 7) ÷ 9 3 - 2(-3) ÷ 9 3 - (-6)÷9 3 - (-2/3) 3 + 2/3 11/3
August 27, 2015

Calculus 1
if tanθ = x, then cosθ = 1/√(1+x^2) cos2θ = 2cos^2θ - 1 = 2/(1+x^2)-1 = (1-x^2)/(1+x^2)
August 27, 2015

Calculus 1
that it is.
August 27, 2015

Calculus 1
come on. don't forget your trig now that you're taking calculus! You surely recognize cotθ = √3 No? How about tanθ = 1/√3
August 27, 2015

Calculus 1
for these, always draw the right triangle! for example, sin(arctan 17/8) = 15/17 Draw the triangle, fill in the missing side, and take the needed trig function. Then, as in the second problem here, remember your double-angle formula: sin2θ = 2sinθcosθ
August 27, 2015

Math (functions)
I believe you are correct.
August 26, 2015

Algebra
5s + 8(19-s) = 116
August 26, 2015

Algebra
(1 1/2 - 1 1/8)/2 = (3/2 - 9/8)/2 = (12/8 - 9/8)/2 = (3/8)/2 = 3/16
August 26, 2015

Algebra
if there are n jr high students, then we have n/(n+100) = 7/9 9n = 7(n+100) 2n = 700 n = 350
August 26, 2015

Ap algebra
since a function maps values in its domain to values in the range, if the y-value is undefined, the x-value cannot be in the domain. Surely the minimum value of a function is the least y-value in the range. For continuous functions, that is no problem. But, if there are point ...
August 26, 2015

precalc
y = -4x+1 has slope -4 so do all parallel lines perp. lines therefor have slope 1/4 Now use your point-slope form for the line: parallel line is y-3 = -4(x+2) change the slope to 1/4 for the perpendicular line.
August 26, 2015

Math
domain is all reals, but since x^2 >= 0 for all x, y >= 9 for all x. That is the range. D: (-∞,+∞) R: [9,∞)
August 26, 2015

Algebra 2
The angles are 2x,3x,3x. The sum is 180, so x=22.5 C-A = 3x-2x = x
August 26, 2015

Precalc
check the graph of x^3+1. No horizontal line crosses it more than once, so its inverse is a function. 4^x = (1/2)^(x-3) 4 = 2^2 = (1/2)^-2, so (1/2)^(-2x) = (1/2)^(x-3) -2x = x-3 x = 1
August 26, 2015

Algebra
15^3
August 26, 2015

AP Calculus
recall the definition of |u|. It is u for u>=0, and -u for u<0. So, your function f(x) = (x-2)/(x-2) for x >= 2 (x-2)/(-x-2) for x < 2 Now you can easily find the necessary limits. Then, peek at the graph below to verify your calculations.
August 26, 2015

Math
correct. you can also note that a constant function y(x)=k is the same as y=kx^0, and since 0 is an even power, kx^0 is an even function, and thus symmetric about the y-axis.
August 26, 2015

Precalc
5x^3 y^-1 z^-5 = 5x^3 / yz^5 take the -3 power of that and you have y^3z^15/125x^9 x^2 y^0 z^-6 = x^2/z^6 square that and you have x^4/z^12 Now just multiply the two fractions and you have y^3z^3 / 125x^5
August 26, 2015

Math
k is 1000, as in kg, km, etc. 2.0*10^3kcal/day * 1day/86400s * 1000cal/kcal = 23.15 cal/s
August 26, 2015

Math
.6carat * 200mg/carat * 1kg/10^6mg * 2.205lb/kg * 16oz/lb = 0.00423 oz
August 26, 2015

Geometry
well, you know that AC+CB=AB, so 3x+55+2x = 65 Now just solve for x and AC=3x
August 26, 2015

math
divide 36 into 4+5=9 parts. Each part is 4. so, the bikes are 16:20
August 26, 2015

Logs
well, it is easy enough with a calculator; there's an e^x button. can you use Taylor Series? e^x = 1 + x + 1/2 x^2 + 1/6 x^3 + ... 1 + (-.6) = 0.4 1 + (-.6) + (-.6)^2/2 = 0.58 ...+(-0.6)^3/3!+(-0.6)^4/4! = 0.5494 ...+(-0.6)^5/5!+(-0.6)^6/6! = 0.5488 what other ...
August 26, 2015

geometry
(-3+x)/2 = -3/2 -3+x = -3 x = 0 Think about it. Starting at -3, x grows by 3/2 to -3/2 at B. It grows by another 3/2 to be 0 at C. (4+y)/2 = 1 4+y = 2 y = -2 Had you plotted these points, you would have seen that your C point was way off. And what's with the "over&...
August 26, 2015

Algebra 1
I sense a question in there somewhere... x+y=50 20x+30y=1200 so, ...
August 26, 2015

vector
I see you are not about to do anything more than repost your question. IT'S 90 DEGREES!
August 26, 2015

Math
D=L D-26 = 2(L-38)
August 26, 2015

math
oh, come on. You can draw x- and y-axes, surely? They meet at a right angle. How many degrees is that? Just place a pencil pointing out the +x axis, and rotate it till it points upward along the y-axis. You must surely know how many degrees that is. If not, you are in for a ...
August 26, 2015

math
hint: 1 is on the +x-axis i is on the +y-axis. How far do you have to rotate the +x direction to point in the +y direction?
August 26, 2015

Algebra
list the x values in the domain, and apply the rule to get y x y=x+1 1 2 2 3 3 4 4 5 Now plot those points and draw a line through them.
August 26, 2015

math
just start filling in the blanks. Start with xxxxxx greater than 700,000. The choices are 7xxxxx 8xxxxx 9xxxxx my hundred thousands digit is twice my ones digit, my thousands digit,and my hundreds digit. So, the 1st digit must be even, leaving 8x44x4 my remaining digits are ...
August 26, 2015

science
conserve momentum 20*8 + 10*0 = (20+10)v
August 26, 2015

Geometry
the diameter of the circle is the distance between the points. That distance is 5. So, now you know the radius is 5/2, and you can take it from there.
August 26, 2015

Geometry
The endpoints of a diameter on a circle are a(2,1)and B(5,5). Find the area of the circle in terms of 3.14.
August 26, 2015

Geometry
thank you
August 26, 2015

Geometry
A garden is 5 ft by 6 ft has a walkway that is 2 ft wide around it. What is the amount of fencing needed to surround the walkway?
August 26, 2015

HELPPPP! ELECTRONICS
the hole is positive, so it is drawn to the negative pole: the cathode.
August 26, 2015

algebra, numerical operation
No idea at all? Multiplication comes before addition. Where is that rule violated?
August 26, 2015

Calculus
BZZT! But thanks for playing. Consider f(x) = 1/(x-a)^2 The limit from both sides is +∞
August 26, 2015

math
∜500/∜5 = ∜(500/5) = ∜100 = √10
August 26, 2015

math
11 - 5/(4x-5) There is no "both sides" -- it's a simple expression. Suppose you had 3 - 2/5 You put it all over the denominator: (3*5-2)/5 Same here: (11(4x-5)-5)/(4x-5) = (44x-60)/(4x-5)
August 26, 2015

Math
you need √((8-4)^2 + (y-3)^2) = 11 √(16+(y-3)^2) = 11 16+(y-3)^2 = 121 (y-3)^2 = 105 y-3 = ±√105 y = 3±√105 you can check this by noting that the locus of all points a distance of 11 from (4,3) is a circle: (x-4)^2 + (y-3)^2 = 121 Now pick...
August 26, 2015

math
1 radian is 180/π degrees, so ...
August 26, 2015

Trig
This kind of problem works very well when you draw the pertinent triangle. If cosθ = 12/13, you have a 5-12-13 triangle, so sinθ = 5/13 Similarly, sinθ = 3/5 gives you a 3-4-5 triangle, so tanθ = 3/4
August 26, 2015

mathematics
2x^2 - 5x - 2 = 0 x = [5±√(25+16)]/(2*2)
August 26, 2015

Math
We can without loss of generality assume a=1, so (1+4d)/(1+2d) = (1+16d)/(1+4d) d = -5/8 The AP is 1, 3/8, -2/8, -7/8, -12/8, -17/8, -22/8, ... -9 The GP is 1, -5/8, 25/64, ... (-12/8)/(-2/8) = 6 (-9)/(-12/8) = 6
August 26, 2015

Math
can you find x when x^2 = 4? x^2 = 9? Does 144 have two equal factors?
August 26, 2015

Math
well, each cm represents 5m, so 9cm --> 5m * 9 = 45m now do 7cm the same way.
August 26, 2015

Math - eh?
If you say so.
August 26, 2015

Math
The width grows by the same ratio as the height, so w/8 = 30/14
August 26, 2015

Calculus
x^2+y^2+6x-8y+9 = 0 rearrange things a bit to get ready to complete the squares: x^2+6x + y^2-8y = -9 x^2+6x+9 + y^2-8y+16 = -9+9+16 (x+3)^2 + (y-4)^2 = 16 so, the center is at (-3,4) with radius 4. Note that the center is 4 units above the x-axis, so C touches the x-axis at...
August 26, 2015

Math-Trigonometry
Assuming B is between A and the mountain, then the height h is found from h cot22° - h cot40° = 125
August 26, 2015

MATH
n^0 = 1 for all nonzero n. So, you just have x^3x^4 = x^7
August 26, 2015

MATH
well, just plug in the numbers: 2^5*2^8/1^5 = 2^13 = 8192
August 26, 2015

algebra
since there are two corners cut from each side, the volume is 3(x-6)(x-6)
August 26, 2015

Lccn acardamy
well, first off, mercury is a metal. A simple google search will provide a wealth of interesting explanations.
August 26, 2015

pre algebra
20-2*7+1+(3)+10 20-14+4+10 6+4+10 10+10 20 In order to get your answer, you'd need 20-(14+4+10) Also, online you should use * for multiplication, so you don't get things mixed up with decimal points, as in 2.7
August 26, 2015

maths
ok, I'll give you this one (5x-3)(2x^2+3x-3) = 5x(2x^2+3x-3)-3(2x^2+3x-3) = 10x^3+15x^2-15x -6x^2-9x+9 = 10x^3+9x^2-24x+9
August 26, 2015

AHOOOGAAH! HOMEWORK DUMP!
How about if you (a) post the complete problem (b) show some work of your own?
August 26, 2015

math
so, use the number line. Which hundred is closest to 153?
August 25, 2015

Precalculus
(2π*50ft/rev)(3rev/min) = 300π ft/min
August 25, 2015

Math
How so? The first item was: The greatest place value is hundred thousand. So why do you put 7 first? I'd start with a 9.
August 25, 2015

math
clearly, they will begin with the 3 smallest digits first: 203xxxx 204xxxx 205xxxx in each case, fill in the x's with the remaining digits, from least to most.
August 25, 2015

maths
I'm having a hard time parsing your text. Is it all one expression? What is the significance of the spaces? Or are there three separate expressions? 2(x+2)^2-(2x-1)(x+2) 2x(x-2)+5x(x/3)-x(3x-1) (5x-3)(2x^2+3x-3) As for the other one, I think it's (x-2)^2+3x-2 = (x+3)^2...
August 25, 2015

Calc
points equidistant from a point in 3D are the surface of a sphere. So, your two constraints will be the intersection of two spheres, which is a circle. Naturally, the intersection will lie in the x-y plane, since the centers of the spheres are both on the z-axis. Your circle ...
August 25, 2015

math
We are told that S12 = 135 S20-S12 = 210 S20 - 135 = 210 S20 = 345 Now, we know that S20 = 20/2 (2a+19d) S12 = 12/2 (2a+11d) So, we have 10(2a+19d) = 345 6(2a+11d) = 135 Solve that for d.
August 25, 2015

Math
when multiplying roots, take the root of the product. You then have 7throot( (11x/y^6) * (y^6/11x^8) ) = 7throot(1/x^7) = 1/x It would help if you showed your work...
August 25, 2015

Math
You did the right thing to get the numerator. Now just put it all over the common denominator: (3a+3b) / ab when you're solving equations, the cross-multiplying affects both sides of the equation. When just evaluating an expression, you need to remember why you are cross-...
August 25, 2015

math
get rid of the parentheses and rearrange things a bit: (y-2) + (z+3) + (x-3) y-2+z+3+x-3 x+y+z-2+3-3 But, you know that x+y+z = 26, so that gives you 26-2+3-3 24
August 25, 2015

maths
distance = speed * time = 5*90 = 450 km/hr speed = distance/time = 450/4 = 112.5 km/hr Or, you can reason like this: 4/5 the time means 5/4 the speed. 5/4 * 90 = 112.5
August 25, 2015

Red House Primary School
x/y = 2/3 (x-1)/(y+2) = 1/2 The original ratio was 8/12
August 25, 2015

TC
Assuming that the two parts share no common volume, then just add up the volumes, using the normal formulas: Clearly, the radius of the hemisphere (and the base of the cone) is 49-35=14cm So, the volume is just (1/2)(4/3)(pi)(14^3) + (1/3)(pi)(14^2)(35) = 4116 pi
August 25, 2015

math please help 9th grade
#1 (B) since 19 is not a perfect square, √19 is irrational. 18/3 is just 6, and 11/10000 is just a rational number. #2 (A) any repeating decimal is rational. #3 (B) ok. I can't say I like your syntax. Even if you can't figure out how to copy/paste special symbols...
August 25, 2015

Maths
1800 + 11*1500
August 25, 2015

Math
57/99 is 0.5757575757...
August 25, 2015

TC
If there are n means, then the common difference is (31-1)/(n+1) = 30/(n+1) The kth mean is 1+k*30/n So, you want [1+7*30/(n+1)]/[1+(n-1)*30/(n+1)] = 5/9 n = 14 Check: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31
August 25, 2015

Math
you are correct
August 25, 2015

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