Sunday
April 26, 2015

Posts by STEVE


Total # Posts: 30,799

algebra
42
March 30, 2015

Math
1x10^-2 = 1/100 lbs = 4/25 oz seems a bit light, but it's a lot closer than 10^-20 = 1/100000000000000000000 lbs!!!
March 30, 2015

calc
f is increasing where f' > 0 since the even powers are always positive, f'>0 where x-3 > 0 and x-4 > 0 so, that would be (3,4)U(4,∞)
March 30, 2015

Middle Math
Nope. too many zeros, and wrong number 6E0 = 6 6E-1 = 0.6 ... 6E-7 = 0.0000006 You wrote 7E-8
March 30, 2015

math
if the discriminant is zero, there is only one root, hence only one point of intersection. positive, two roots negative zero roots Incidentally, you'd better check your discriminant. If you graph y=x+5, you will see that it intersects in two points, not 1. http://www....
March 30, 2015

calculus
see the related questions below
March 30, 2015

Math
y = x^(e^x) lny = e^x lnx 1/y y' = e^x(lnx + 1/x) y' = x^e^x * e^x (lnx + 1/x)
March 30, 2015

Calculus
you have the functions. Just plug in the values.
March 30, 2015

Calc
(a) dC/dx (b) and (c) are just plug and chug
March 30, 2015

math help
come on. You have the formula. Just solve n^2+n-1 = 2549 Hint: it's not -51
March 30, 2015

math help
check the differences: 4,6,8 I suspect that the next terms are 19+10=29 and 29+12 = 41 you plug in 3 pairs of values into a general quadratic y=ax^2+bx+c and you get a+b+c=1 4a+2b+c=5 9a+3b+c=11 a=1, b=1, c=-1 and get Tn = f(n) = x^2+x-1 Or, you can recall that 1+2+3+...n = n(...
March 30, 2015

Mathematics
((5*.60)+.80)/6 = 63.3% You didn't say whether the tests were weighted, so I'm not sure what the 200 points mean.
March 30, 2015

Algebra
after t minutes, you want 30+25t = 300-20t
March 30, 2015

Algebra 1
Find the solution to the system y=x^2-2x-2 My answer is (-1,1)(7,33)
March 30, 2015

Calculus
well, um, did you try actually drawing the graphs? x=4√y is the right half of a parabola that opens upward y=4√x is the upper half of a parabola that opens to the right. You can think of it as the area in the 1st quadrant, bounded by y=x^2/16 and x=y^2/16 You have ...
March 30, 2015

Math
3 choices for each of 10 questions is clearly 3^10 Naturally, there is only 1 way of getting all the answers right. If, however, you want to know the order of questions to answer, then there are 10! ways to select the questions. Rather a poorly worded question.
March 30, 2015

algebra
the difference in heights is 5, so the distance between the tops is the hypotenuse of a 5-12-13 right triangle.
March 30, 2015

Math
3*4*4, no?
March 30, 2015

exponential equations
Since 6400 is 16 * 400, the population has doubled 4 times. So, it will take 4*18 minutes.
March 29, 2015

maths
think of the shape of a wine glass. It's basically a parabola. Not sure what you will do with the linear, since you need a vertical stem and a horizontal base. How about y=0 y=x^2+4 with a suitable domain
March 29, 2015

Algebra
12 ft^2, but it won't hold much water.
March 29, 2015

arcsin?
Hmmm. I get tan^-1 (x/3)
March 29, 2015

science
it's just ∑mv for all the various m and v: 1300(60) + 1500(-95)
March 29, 2015

basic math
well 66 2/3 percent is 2/3, or 66.67% Simple or compound interest? 66.67% seems a bit high.
March 29, 2015

English
thank you
March 29, 2015

English
And if we meet we shall not ’scape a brawl, For now, these hot days, is the mad blood stirring. the fight in which Mercutio and Tybalt are killed or the duel in which Romeo is killed my answer is the 1st one because it was a fight
March 29, 2015

English
Death lies on her like an untimely frost Upon the sweetest flower of all the field. (Act 4, Scene 5) ow Does this example of dramatic irony create tension? My answer is because the reader know that Juliet is actually sleeping
March 29, 2015

Calculus
you know that ∫ du/√(a^2-u^2) = arcsin(u/a)+C right? So, just note that 8+2x-x^2 = 9-(x-1)^2 Now go for it.
March 29, 2015

English
I think that it is the last one.
March 29, 2015

English
Marry my child early next morn the gallant young and noble gentleman the county paris at st peter church shall happily make thee there a joyful bride Hang thee, young baggage! Disobedient wretch! I tell thee what: get thee to church o' Thursday, Or never after look me in ...
March 29, 2015

English
What quote from Romeo and Juliet Act 3, Scene 5 illustrates Shakespeare's use of comic relief?
March 29, 2015

Calculus
since cos(u) < 1, your terms are less than 1/(2^(k/3)+1) sum 1/2^(k/3) converges, and your terms are less than 1/2^(k+3), your series converges
March 29, 2015

English
thank you
March 29, 2015

English
Read the following line from Act IV, Scene 5 of Romeo and Juliet, when Capulet speaks of his daughters apparent death: Death lies on her like an untimely frost Upon the sweetest flower of all the field. How does Shakespeare use a simile to emphasize the tragedy of the apparent...
March 29, 2015

math
a = bh/2 135 = b*15/2 ...
March 29, 2015

Calculus 2 - Series
yeah - sometimes it's possible to overthink this stuff. It just takes practice, like anything else. Good judgment comes from experience. Experience comes from bad judgment.
March 29, 2015

Calculus 2 - Series
an = (n + 3)/(2n − 1) well, just start plugging in values for n: a1 = (1+3)/(2*1-1) = 4/1 = 4 a2 = (2+3)/(2*2-1) = 5/3 and so on ... Look at the numerators: 3,4,5,... = n+2 and the denominators: 4,9,16,... (n+1)^2 So, an = (n+2)/(n+1)^2
March 29, 2015

Pre Ap Chemistry
since PV/T = k is constant, (.825)(566)/(273+15) = P(834)/(273+20)
March 29, 2015

Calculus 2 (Differentiate & Decay Problem)
#1 you don't have to differentiate. You are given the differentials, and you need to integrate 8sin^2(y) dx + 8cos^2(x) dy = 0 cos^2(x) dy = - sin^2(y) dx dy/sin^2(y) = -dx/cos^2(dx) -csc^2(y) dy = sec^2(x) dx now integrate: cot(y) = tan(x) + c now, since (π/4,π/...
March 29, 2015

Math
sinC/c = sinA/a sinC = 6.1*0.342/2.1 = 0.993 That is so close to 1, I'd say C=90° So, yes, you are correct. Just a single right triangle does the trick.
March 29, 2015

Algebra 1
Find the measure of the smallest angle of the right triangle. c= 90degree a= height ac= 7 and cb = 11 a-32.5 degree b-57.5 degree c-13.0 degree d-50.5 degree my answer is a 32.5 degrees
March 29, 2015

Calculus
a = πr^2 da/dt = 2πr dr/dt So, plug in your numbers. When a = 4π, r=2, so 2 = 2π*2 dr/dt dr/dt = 1/(2π) miles/day
March 29, 2015

Math
yeah - compound or simple!
March 29, 2015

Math
the problem will tell you which it is. Although, if it neglects to say the compounding period, it is most likely simple interest.
March 29, 2015

Algebra 1
thank you
March 29, 2015

Algebra 1
If the leg of length 11 is adjacent to angle a, you are correct.
March 29, 2015

Algebra 1
In a right triangle c=90 degrees a=52 degrees b = 38 degrees the base length =11 What is the hypotenuse length? a-6.8 b-8.7 c-14.0 d-17.9 my answer is 17.9 d
March 29, 2015

Algebra 1
x=1 does satisfy the equation.
March 29, 2015

Algebra 1
Solve for x sq root 2x+3= sq root 6x-1 a-1 b-2 c-3 dsq root 6 My answer is a = 1
March 29, 2015

Algebra 1
correct
March 29, 2015

Algebra 1
A right triangles hypotenuse is 20 cm long. What is themlength of the side opposite a 60 degree angle? a- 40 b- 18.5 c- 20 d- 17.3 My answer is 17.3
March 29, 2015

Algebra 1
In a right triangle the height = 54 (ba) The hypotenuse is 90 (ac) and the base ism 72 (bc). What is the value of cosC? a-.5 b- .6 c- .8 d- .9 My answer is .8 72/90
March 29, 2015

Geometry
2(w + w+40) = 500
March 29, 2015

integral calculus
just apply the power rule to each term ∫ x^n dx = 1/(n+1) x^(n+1) so, ∫ x^4 dx = 1/5 x^5 and similarly for the other terms
March 29, 2015

math
each face is a triangle with base 8 and altitude 22
March 29, 2015

ALGEBRA
clearly the compound inequality is an and problem. As for absolute value problems, think of the shape of the graph. It is a V shape. So, if |f(x)| < c, you have one interval, below the line y=c. If |f(x)| > c, then you have the intervals outside the V, making it an or ...
March 29, 2015

maths
if they are in series, then R = 2+3+r If they are in parallel, then 1/R = 1/2 + 1/3 + 1/r
March 29, 2015

math
9-m^2 = (3-m)(3+m) So, the (3-m) factors cancel, and you have (3+m) in the top. Not sure just what the other stuff means; your use of numbers and carets is inconsistent. Just recall that u^n/u^m = u^(n-m) whatever u is.
March 29, 2015

Math
the distance z between you and Jonas after t seconds is z^2 = (60-2t)^2 + (10t)^2 For the box, we know xyz = 500000 since y=2x, 2x^2z = 500000 x^2z = 250000 So, z = 250000/x^2 c(x) = (x)(2x)(3) + (6x)(250000/x^2)(4) + (x)(2x)(5) = 16x^2 + 6000000/x Now just do your minimum stuff.
March 28, 2015

Math
I went back and checked my figures and I think it should be a t sq root 26
March 28, 2015

Math
A playground is shaped like a rectangle with a width 5 times it's length (t). What is the simplified expression for the distance between opposite corners of the playground? a- tsq root 26 b- 5t c- 26t squared d- 6t my answer is d 5t 5t+t =x x=6t
March 28, 2015

Math
Simplify 6/sq root 3 +2 My answer is 12 - 6 sq root 3
March 28, 2015

Math
thank you
March 28, 2015

Math
A surfer drives his dune buggy out into the sand dunes.He follows his compass 10 miles due north and then turns due west. If he ends up approximately 35 miles from where he started how far west did he travel? a- 10 miles b- 25 miles c- 33.5 miles d- 35 miles My answer is c 33....
March 28, 2015

Math--MS SUE!
#1 24 #2 46 #3 70
March 28, 2015

Math
Good job, Reiny. I keep seeing 3^√ being used as cube root, so maybe I was way off. In any case, the problem is solved.
March 28, 2015

Math
let f(x) = x^3 - 7 so f(∛7) = 0 See http://keisan.casio.com/exec/system/1244946907 just enter your function, its derivative, and initial guess.
March 28, 2015

Earth Space Science
you are correct.
March 28, 2015

statistics
so, do you have a table of NBA players' heights? If so, just do what the exercise says.
March 28, 2015

Math
I get XB=6 How far do you get? Hint: parallel lines indicate similar triangles.
March 28, 2015

Trigonometry
Usage differs, but one of them is the single value -π/3, and the other is -π/3+nπ check your text to see what is expected of you.
March 28, 2015

Trigonometry
just factor the first one, then there will be two values between 0 and 2π, and all multiples of 2π added thereto. 2sin^2(x)-5 sin(x)-3=0 (2sinx+1)(sinx-3) = 0 sinx = -1/2 sinx = 3 (not a valid solution) The other is already factored: (cos(x)-((√2)/2))(sec(x)-1...
March 28, 2015

Trigonometry
tan(-π/4) = -1 so, θ = -π/4 + nπ sin(π/6) = 1/2, so θ/2 = π/6,5π/6,... θ = π/3, 5π/3, ... = π/3 + 4nπ, 5π/3 + 4nπ
March 28, 2015

Trigonometry
(2sinx-√3)(2sinx+√3) = 0 sinx = ±√3/2 x = π/3, 2π/3, 4π/3, 5π/3 cos(3x) = -1 so 3x = π,3π,5π x = π/3, π, 5π/3
March 28, 2015

Math
my answer is D
March 28, 2015

Math
A gardener is mowing a 20 by 40 yard rectangular pasture using a rectangular pattern. He mows from one corner of the pasture to the corner diagonally opposite. What is the length of this pass with the mower? Give your answer in simplified ,form. a- 10 sq root 20 b- 20 sq root ...
March 28, 2015

math
2x*5x = 40 So, find x, and then 5x.
March 27, 2015

math
f(x) = 2(x-1)^2 - 7 So, if we restrict the domain to x>1 or x<1 we can find an inverse I expect you can turn that info into an interval . . .
March 27, 2015

math
Since referring you to the related questions seems to do no good, here it is again: f(x) = cx/(2x+3) f(f) = cf/(2f+3) = c[cx/(2x+3)]/(2[cx/(2x+3)]+3) = c^2x/(2(c+3)x+9) So, if c^2x/(2(c+3)x+9) = x, c^2x = 2(c+3)x^2 + 9x 2(c+3)x^2 + (9-c^2)x = 0 x(2c+6+9-c^2) = 0 x(15+2c-c^2...
March 27, 2015

math
Looks to me like g*62 + (75-g)*56 = 75*58 Or, since we're looking for the number of boys, not girls, 56b + 62(75-b) = 58*75
March 27, 2015

Math
thank you
March 27, 2015

Math
my answer is 5m
March 27, 2015

Math
Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7m the new total area will be 144m^2. Find the length of each side of the original garden.
March 27, 2015

Math
What is the value of c so that y=x^2+15x+c is a perfect square trinomial?
March 27, 2015

Algebra 1
Use the graph of f(x) to find the solutions to the equation f(x)=0 a-2 -10 & 2 b_ 2 10 & -2 c- 1 10 d- no solutions
March 27, 2015

Algebra 1
thank you
March 27, 2015

Algebra 1
a boulder is thrown launched into the air with an upward velocity of 184 ft per second. Its height h in feet after t seconds is given by the function h(t)=-16t^2 +184t+6. How long does it take the boulder to reach its maximum height? What is the boulder maximum height? a- 11.6...
March 27, 2015

Algebra 1
Thank you very much at 68 trying to help grandson I'm stretching a bit to when I took this
March 27, 2015

Algebra 1
so it would be 22 ft after 1 second
March 27, 2015

Algebra 1
a ball is thrown into the air with an upward velocity of 32 ft per second. Its height h in feet after t seconds is given by the function h(t)=-16t^2 +32t+6. How long does it take the ball to reach its maximum height? What is the balls maximum height? a- 22 ft 1.0 second b- 22 ...
March 27, 2015

Math
well, just multiply them. If you get the identity matrix, they are inverses Looks like we have a winner! http://www.wolframalpha.com/input/?i=%7B%7B1%2C1%2C1%7D%2C%7B3%2C5%2C4%7D%2C%7B0%2C-1%2C0%7D%7D*%7B%7B4%2C-1%2C-1%7D%2C%7B0%2C0%2C-1%7D%2C%7B-3%2C1%2C2%7D%7D
March 27, 2015

Algebra 1
244 was on the wrong problem - this one was 0 sorry
March 27, 2015

Algebra 1
review the discriminant. If it is positive, there are two real roots. In this case, b^2-4ac = 0, so there is but one root. -8x^2-8x-2 = -2(2x+1)^2 How ever did you come up with a discriminant of 244?
March 27, 2015

Algebra 1
I figured the discriminant at 244 so infinite?
March 27, 2015

Algebra 1
How many real number solutions does the equation have? -8x^2-8-2=0 o solutions 1 2 infinitely many I get -1/2 so would it be 2?
March 27, 2015

Algebra 1
thank you
March 27, 2015

Algebra 1
A physics student stands on top of a hill that has an elevation of 56 meters. He throws a rock and it goes up into the air and then falls past him and lands on the ground below. The path of the rock can be modeled by the equation - y=-0.04x^2+1.3x+56 where x is the horizontal ...
March 27, 2015

Algebra 1
your right sorry y=-0.04x^2+8.3x+4.3
March 27, 2015

Algebra 1
A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation- y= -0.04x^2+8.3x,where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters of the rocket above ground. How ...
March 27, 2015

Algebra
You can also solve it without finding the value of k. Since xy is constant, 150y = 4*300
March 27, 2015

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