# Posts by SH

Total # Posts: 283

math
a certain store sells two types of pen: one type for rs. 2 per pen and the other type for rs. 3 per pen. if a customer can spend up to rs. 25 to buy pens at the store, what is the greatest number of pens the customer can buy

math
after reducing the price by 20%, a calculators new price is \$10. the original selling price of the calculator was?

math
on a radio tower, a red light flashes every 6 seconds and a blue light flashes every 10 seconds. if both lights flash together at a certain time, how many seconds later will both lights flash together the next time

math
two employees X and Y are paid a total of rs. 550 per week by their employer. if X is paid 120 percent of the amount paid to Y, how much is Y paid per week

math
the length of a rectangle is increased by 25%. by what percentage should the width be decreased so that the area of the rectangle remains unchanged

math
find the capacity of an oil tank if an addition of 15 gallons raises the reading from 1/4 full to 5/8 full

Corporate Finance
avicorp’s cost of debt is 3.60% per 6 months or 7.34% per annum.

algebra
Nurse erika needs to prepare 12 liters of a 10% saline solution. The stockroom only has 7 % and 15% saline solutions. How much of each solution should erika mix together to get 12 litres of a 10% saline solution

algebra
How many ounces of a 19% copper alloy metal must be added to 42% ounces of a 40% copper alloy metal to produce a metal which is 31% copper alloy

algebra
Nurse erika needs to prepare 12 liters of a 10% saline solution. The stockroom only has 7 % and 15% saline solutions. How much of each solution should erika mix together to get 12 litres of a 10% saline solution

Chemistry
It's 60 C for the reason of its must be higher then forty

11 > 10. But 11 can be only 1x11 or 11x1 matrix (array) But 10 can be 2x5, 5x2, 10x1, 1x10.. so mary is wrong to say.... same goes with any Prime number as it can be only 2 ways to sent that count in an array.

Calculus
Thank you!

Calculus
Find the derivative of y=5^(1-4x) lny=(1-4x)ln5 Can I split it? lny=ln5-4xln5 1/y dy/dx = -[4ln5/(4xln5)^2] dy/dx=-[4ln5/(4xln5)^2]y Thanks.

Calculus
I need help to start this problem please, A company can sell 4500 pairs of sunglases monthly when the price is \$5. When the price of a pair of sunglasses is increased by 10%, the demand drops to 4250 pairs a month. Assume that the demand equation is linear. Find the demand ...

Calculus
I did the derivative wrong! Thanks!

Calculus
To construct a tincan, V=32pi m^3, The cost per square meter of the side is half of the top and bottom of can. What are the dimensions and the cost? V=πr²h=32pi SA=2πr²+2πrh h=32/r² Domain={r>o} Let x be the cost, I subbed 32/r² for h C=f(...

Calculus
Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x)-x= infinity when it's going towards infinity, shouldn't it equal to negative infinity, since 0-infinity = - infinity lim x-> -infinity (e^x)-x= infinity

Calculus
So the whole interval is increasing? The function of cosx has a section of decreasing though.

Calculus
Wow, so confusing. Thanks!

Calculus
Find the interval(s) where the function is increasing where and it is decreasing. f(x)=sin(x+(pi/2)) for 0≤x≤2pi so my derivative is f'(x)=cos(x+(pi/2))? and my critical number is -pi/2?

Calculus
Shouldn't it be -2xlog(base2)x because the product rule is inside the bracket, and its subtracting the bracket. y"=[x/ln - 2xlog(base2)x -2x²/xln2 - 4x/ln2 + 8xlog(base2)x]/x^5 =[-3x/x^5] + [6xlog(base2)x/x^5] - [2x²/xln2] Then I put them in common ...

Calculus
Find the second derivative of the following function: y=log(base2)x/x² y'=[(x/ln2)-2xlog(base2)x]/x^4 the derivative of x/ln2 is (ln2)^-1? y"={[((ln2)^(-1))-(2log(base2)x/xln2)]x^4-4x³[(x/ln2)-2xlog(base2)x]}/x^8 I tried simplifying it and I got, y"=[3...

Calculus
I have the same thing now, thanks! I thought I had to use product rule for xln2, but there's no variable in ln2, so it is accounted for a constant?

Calculus
I have trouble finding the second derivative, my answer is a little off from the answer key. f(x)=(log(base2)x)^5 f'(x)=[5(log(base2)x)^4]/xln2 f"(x)=[20(log(base2)x)³(xln2)-(ln2+(x/2))(5(log(base2)x)^4)]/[x²(ln2)²] for the f"(x), is g(x)=xln2? It ...

Calculus
So the negative is not included, for example f(x)=-2^x f'(x) would be (-2^x)(ln2)? Thanks!

Calculus
Find the derivative of f(x)=x(1-4^x) f'(x)=(1-4^x)+ (-4^x)(ln-4)(-4)(x) ln can't be negative. Is the derivative correct?

Calculus
Find the linear approximation L(x) of the given function at a, and use it to approximate the function value at the given x-value. f(x)=x^(1/3), a=-27, x=-28 I found the derivative to be f'(x)= 1/[3(-27)^(2/3)] but it does not exist because a number cannot be negative in a ...

math
When I factor out the bottom its x=-3 and x=2, how did you get -2 and 1? Why is +2 included? Doesn't it become undefined when x=2?

math
What's the domain of √((x-2)/(x^2+x-6)) (2,infinity] ?

Calculus
Thank you so much! :)

Calculus

Calculus
lim x->1 (x^47-1)/(x^9-1) With what method do I factor them with? Pascal triangle?

While driving his sports car at 20.0 down a four lane highway Eddie comes up behind a slow-moving dump truck abd decides to pass it in the left lane. If Eddie can accelerate at 5.00 m/s^2, how long will it take for him to reach a speed of 30.0 m/s?

math
What is 4.38E+01 equal to?

Chemistry
Consider the following buffer equilibrium: HF (high concentration) + H2O <--> H3O+ (low concentration) + F- ( high concentration) Using Le Chatelier's Principle, explain what happens to the pH of the buffer solution when a small amount of NaOH is added. Wouldn't ...

Calculus
Find the area between y=cosx and y=sinx from 0 to 2pi. To find the zeros, I combined the equations cosx-sinx=0 What's next?

Chemistry
Thank you so much for the clarification!

Chemistry
Oh, so they're all bases. Is the answer C because it is the strongest base out of the four. Does the stronger the base mean the more reaction? Thanks.

Chemistry
Water will react most completely as an acid with A. SO3^-2 B. H2BO3- C. C6H5O- D. CH3COO- Why isn't the answer A, since H2O + SO3^-2 <-> HSO3- + OH- so H2O and HSO3- are the conjugate acids.

Chemistry
What is the mass of NaOH required to prepare 100.0mL of NaOH(aq) that has a pH = 13.62 ? A. 0.38g B. 0.42g C. 1.67g D. 2.40x10^-14 g OH- + H2O <-> H3O+ + O^-2 antilog-13.62 = 0.09976 #gNaOH=(0.1-0.09976)M x 40g/mol x 0.1L = 0.40g?

Chemistry

Chemistry
S^-2 ion has equilibrium constant of 7.7x10^-1 So it's just (1.00x10^-14)/(0.77)=1.3x10^14 = Ka HS^- ?

Chemistry
The S^2- ion is a relatively strong base with an equilibrium constant of 7.7x10^-1. What is the Ka value for HS- ? I got the equation HS^- <-> H^+ + S^-2. Am I able to find [S^-2] with the Keq?

Chemistry
I understand now, thanks for your help! :)

Chemistry
How do you know if D ionizes or not? Is it because it doesn't have a metal or because it is a weak acid? So the more ions it have, the better the conductivity, eventhough HCl is one of the strongest acids?

Chemistry
Which solution will have the greatest electrical conductivity? A. 0.50MHCl B. 0.10MRbOH C. 0.50MK3PO4 D. 2.0MC6H12O6 I thought the answer would be B, but it is C. Is it not B because the Ka is too small? Otherwise, C is has the smallest Ka.

Calculus

Calculus
Differentiate: y=ln(x/(2x+3))^(1/2) y=(1/2)ln(x/(2x+3)) y'=0+(1/2)((2x+3-2x)/(2x+3)²) What's next after the quotient rule?

Calculus
I understand now, thanks! I changed the log to, 1/xln3 instead.

Calculus
Find the derivative. f(x)=(1+logᴈx)/x f'(x)=[1-ln3-logᴈx (ln3)]/(x²ln3) How do you simplify it further? Thanks.

Chemistry
Thanks!

Chemistry
Write the net ionic equation for the hydrolysis reaction that occurs when Ba(CH3COO)2 is dissolved in water. CH3COO- + H2O <-> CH3COOH + OH- ?

Calculus
at the point where x=0 *

Calculus
Find the equation of the tangent line to the curve y=1+ xe^(2x) y'=(e^(2x))(2x+1) = slope What's the next step?

Calculus
Ohh, so that's how you find dy/dt, thanks!

Calculus
A radar antenna is located on a ship that is 4km from a straight shore. It is rotating at 32rev/min. How fast does the radar beam sweep along the shore when the angle between the beam and the shortest distance to the shore is pi/4? Let's say that the shoreline is y, are we...

Calculus
Evaluate the following limit: lim x->(pi/2) [((pi/2)-(x))/cosx] May I please get a hint on how to start this question?

Calculus
Evaluate the following limit: lim x->0 xcscx =limx->0 x/sinx Does it equal one because the reciprocal is 1/1=1?

Calculus
Thank you for the help!

Calculus
Find dy/dx in the following: y=[x/√(1-x²)]- sin‾¹x y'={[(1-x²)^(1/2)-(-2x)(x)(1/2)(1-x²)^(-1/2)]/(1-x²)} - (1/√(1-x²)) Then I multiplied (-2x)(x)(1/2) together. How do I simplify the rest?

Calculus
I did try to continue with it. I brought sec²θ to the top -> cos²θ, so I plugged in cos(20/25). How come you typed 25/20 instead of sec(25/20)²?

Calculus
I'm not good with drawing diagrams from word problems, so I switched the numbers around to see if I could get the correct answer. 4/sec²θ=dθ/dt cosθ=20/25 4cos²θ/20=dθ/dt dθ/dt=0.160rad/s but the answer is 0.128rad/s.

Calculus
A vehicle moves along a straight path with a speed of 4m/s. A searchlight is located on the ground 20m from the path and is kept focused on the vehicle. At what rate (in rad/s) is the searchlight rotating when the vehicle is 15 from the point on the path cloest to the ...

French
Merci beaucoup!

French
Is this correct? He saw construction workers building new buildings and he thought they worked hard for their dream and the buildings represent hope and future. Il a vu les travailleurs de construction de construire de nouveaux bâtiments, et il pensait les travailler ...

Calculus
Thanks. The answer key says the 12 is positive.

Calculus
Find the derivative of y=cot³(1-2x)² y'=3[cot(1-2x)²]² (-csc²(1-2x)²)(2-4x)(-2) y'=(-6+24x)[cot(1-2x)²]²(-csc²(1-2x)²) How do you simplify further?

Calculus
I got-4sin2x for the second term, I made a typo. How do you translate sinx=-1/4 to decimal numbers?

Calculus
Determine the concavity and find the points of inflection. y=2cosx + sin2x 0≤x≤2pi y'=-2sinx + 2cos2x y"=-2cosx-4sinx How do I find the IP(s)?

Calculus
Got it.

Calculus
Find an equation of the tangent line to the given curve at the given point y=(1/cosx)-2cosx at((pi/3),1) y'=0+2sinx slope = √3 y=mx+b 1=(√3)(pi/3)+b b=(3-√3pi)/3 3√3x-3y+3-√3pi=0 What did I do wrong? Thanks in advance.

Calculus
Oh, I see it now, thanks!

Calculus
Find the derivative of y with respect to x: y=(1+cos²x)^6 y'=6(1+cos²x)^5 How do you derive inside the brackets? The answer says -sin2x, but wouldn't it be -2sinx, using the chain rule.

Calculus
Find the derivative of y with respect to x: y=3sin^4(2-x)^-1 y=[3sin(2-x)^-1]^4 y'=4[3sin(2-x)^-1]^3 (-3cos(2-x)^-1)(-1) -(2-x)^-2 y'=[12cos(2-x)^-1][3sin^3(2-x)^-1][2-x]^2 but the answer does not have a 3 in front of sin. What happened to the 3?

Calculus
Find the derivative of y with the respect to x: y=sin‾²(x³) y'=cos‾²(x³)(3x²) y'=3x²cos‾²(x³) How come my answer is incorrect? Thanks in advance.

ECONOMICS
WHAY IS GLOBAL ECONOMIC CRISIS?

Chemistry
What will be the [Cl-] when equal volumes of 0.10MNaCl and 0.20MAlCl3 are combined? A. 0.35M B. 0.15M C. 0.30M D. 0.70M

Chemistry
Is it, Final [Pb 2+]=0.0020M x (100ml/200ml)=0.0010M Pb 2+ Final [I-]=0.0040M x (100ml/200mL)=0.0020M I- Ksp=(0.0010)(0.0020)^2 Ksp=4.0x10^-9

Chemistry
The question asks for the ksp, so don't I try to find the final concentration first? How do you take 100mL of each molar concentration?

Chemistry
In an experiment, a student mixes equal volumes of 0.0020M Pb 2+ ions with 0.0040M I- ions. The trial ion product is? PbI2 <-> Pb 2+ + 2I- How do you determine the final concentration of Pb 2+ and I-?

Chemistry
Thanks! I'll keep that in mind.

Chemistry
Consider the following equilibrium: CaCO3(s)<->Ca 2+(aq) + CO3 2-(aq) Which of the following reagents, when added to the equilibrium system, would cause more CaCO3 to dissolve? a)KNO3(s), can't be this, NO3 is soluble with all negative ions b)CaCO3(s), adding more ...

Calculus
Retyped with brackets, it would be If √2[cosx)-1 = (1+√3)/2 and √2(cosx)+1 = (1-√3)/2, find the value of cos4x.

Calculus
I'm pretty sure I typed the question correctly, the answer at the back says 1/2.

Calculus
If √2cos(x)-1 = (1+√3)/2 and √2cos(x)+1 = (1-√3)/2, find the value of cos4x.

Calculus
Thanks!

Calculus
Find the value of tan2x, (pi/2)<x<pi, given secx=-5/4. So cosx=-4/5? I've no clue what to do next.

Physics
Name three ways in which you can reduce the distortion due to diffraction of a wave passing through an aperture. -large aperture -small wavelengths What's the last one?

Calculus
Got it, thanks!

Calculus
Solve identity, (1-sin2x)/cos2x = cos2x/(1+sin2x) I tried starting from the right side, RS: =(cos²x-sin²x)/(1+2sinxcosx) =(cos²x-(1-cos²x))/(1+2sinxcosx) and the right side just goes in circle. May I get a hint to start off?

Calculus
I did use x^(1/2). I got y'=[1/2x^(-1/2)]/(√x+1)^2, then I brought the top to the bottom. The last part of the question is sketching it. The graph is basically f(x)=√x with a horizontal asymptote at y=1. Thank you Reiny :)

Calculus
So my first derivative is wrong? Is the first step to the second derivative, y"=-(2√x(x+1)^2)^-2 (-1) ?

Calculus
y=(√x)/((√x)+1) Find the concavity and point of inflection(s). y'=1/(√(x/2))(√x+1)² y'=1/(x√(x/2)+2√(x²/2)+√(x/2)) y"=0- ? How do you find the second derivative?

Physics
The wavelength of red light is about 7x10^-7m. The frequency of the red light reflected from a metal surface and the frequency of the vibrating electron that products it are the same. What is this frequency?

Calculus
Then isn't the domain -1≤x≤1, since when I plug in -1 and 1, the answer is 0. For symmetry, I plugged 3 into y=x/[(1-x²)^(-2)], which I'm guessing is wrong. Since domain is -1≤x≤1, I switched the number to 0.5, and found that it is ...

Calculus
y=x√(1-x²) Domain? y=x(1-x²)^(1/2) y=x/[(1-x²)^(-2)]? x≠±1 Symmetry? f(3)=192 f(-3)=-300 -f(-3)=300 no symmetry?

Chemistry
I understand now, thanks for clarifying. :)

Chemistry
Isn't the equation not balanced then?

Chemistry
Write an equation to show the dissolving of the following substance in water. (NH4)2SO4(s) NH42SO4 + H2O -> 2NH4 + SO4 + H^+ + OH-?

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