# 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

**3rd grade math - arrays**

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**

Is the answer 47/9?

**Calculus**

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

**11th grade**

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**

Alright, thanks! It's the correct answer on the answer key.

**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**

Thanks for your help!

**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-?