Monday

May 2, 2016
Total # Posts: 11,464

**math**

(2, 2 square root 2, and 2 square root 3) means (2, 2√2, 2√3) Square each number: (4, 2²×2, 2²×3) =(4,8,12) Do these numbers make a Pythagorean triplet?
*April 4, 2015*

**geometry**

See your later post.
*April 4, 2015*

**linear algebra check**

You have u1 and u2 correct. Don't know if you're expected to rationalize the denominator, in which case, u1 would read [(√3)/3,(√3)/3,(√3)/3]...etc. u3 should be [0,....] A good way to check your answer is to verify if u1.u2=0, u1.u3=0, u2.u3=0.
*April 4, 2015*

**Chemistry**

Keq can be obtained by substitution of the product concentrations and reactant concentrations in the definition of Keq. If in doubt, read: http://www.horton.ednet.ns.ca/staff/jeffrey/Chem%2012/answerkeysMJeffrey/kineticsandrates/Meaning%20of%20Keq%20page%201.pdf or examples in...
*April 4, 2015*

**accounting**

You can solve using the compound interest formula: Fv = Pv * (1+i)^n Fv=future value, to be calculated Pv=Present value ($8000) i=interest per period (6%/2=0.03) n=number of periods (2)
*April 3, 2015*

**chemistry ap**

Assuming zinc is in excess. 18 mL of 6.00 M H2SO4 equals 0.108 mol From Zn+H2SO4 -> ZnSO4 + H2 we deduce that 1 mol of H2SO4 produces 1 mol of ZnSO4. So mass of ZnSO4 produced is 0.108 mol, multiplied by the molecular mass of ZnSO4.
*April 3, 2015*

**accounting**

Use compound interest formula: Fv=Pv(1+i)^n here Fv=7500 Pv=present value to be calculated i=8%=0.08 (assume compounding annually) n=18 transposing, Pv=Fv/(1+i)^n
*April 3, 2015*

**math discrete**

Oops, I didn't do what the question asked. Go with Reiny's solution!
*April 3, 2015*

**math discrete**

f(x)=4x³ g(x)=2x h(x)=x² h◦(g◦f) =h◦(g(x²)) =h◦(2(x²)) =h◦(2x²) =4(2x²)³-5 =4(2²x²)³;-5 =4(2^6 x^6)-5 =256x^6-5
*April 3, 2015*

**PHYSICS**

You can read the response to the previous post and try to work out the answer.
*April 3, 2015*

**PHYSICS**

By the law of floatation, any floating object will displace a mass of fluid equal to its own mass. So a floating object of volume 1 m³ density 400 kg/m³ will displace 400 kg of water, i.e. fraction of immersed object is 0.4, equal to its specific gravity, and ...
*April 3, 2015*

**math - typo?**

A cubic foot of water weighs 62.4 pounds. An imperial gallon of water weighs 10 pounds. You used kg all over, so it is not clear whether there is one or more typos in the question. You will need to check the question and make appropriate corrections before your answer can be ...
*April 3, 2015*

**math**

First possibility: 10 B = 10 B After that, we can take advantage that 3B weighs as much as 2A, so you can progressive change every 3B for 2A, for example, 7B+2A = 10B 4B+4A = 10B there is one more that I will leave you to finish.
*April 2, 2015*

**Math**

All correct except the first: The square of the length ...
*April 2, 2015*

**math**

5•4•3 does not equal 40, you probably meant 5*4*2 you can add 5*8*1 If order does not count, I don't see other ways.
*April 2, 2015*

**calc**

A vector that is orthogonal to two given vectors is the cross product, namely |i j k| |x1 y1 z1| |x2 y2 z2| which in this case is |i j k| |1 6 1| |1 -9 1| Expanding the determinant, we get the following vector: <6*1+1*9, 1*1-1*1, 1*-9-6*1> <15, 0, -15> which can be...
*April 2, 2015*

**biology**

Some cons to think about: 1. Mandatory donation will no longer be a donation, it will be an obligation. 2. What do you think about the individual rights of citizens of Canada. 3. The need may be urgent, but will the organs of ALL Canadians be required?
*April 1, 2015*

**7TH MATH HELP**

A translation is defined as: T: (x,y) -> (x+p,y+q) where p and q are given constants. For example: (10,3) -> (10+p, 3+q) = (1,6) 10+p=1 => p=1-10=-9 3+q=6 => q=6-3=3 So we have established that the translation is T: (x,y) -> (x-9, y+3) (note: if p is positive, ...
*April 1, 2015*

**Algebra 2**

Expand sin2θ = 2sinθcosθ so sin2θ=-cosθ 2sinθcosθ + cosθ = 0 factoring out cosθ, cosθ(2sinθ+1)=0 cosθ(sinθ+1/2)=0 Using the zero product property, we deduce that cosθ =0 OR sin&theta=-1/2 Solve...
*April 1, 2015*

**Exponential Equations**

Direct substitution of equation: Pv=present value Fv=future value Fv=Pv*(1+i)n where i=interest rate per compounding period (assumed year here) n=number of compounding periods (assumed year here). note that 2.75% is equivalent to 0.0275 for i (interest rate). If both Pv and Fv...
*April 1, 2015*

**Physics**

The difference of 2.5 minutes per day is assumed to be due to the difference in g at the two locations. If in Cayenne it loses 2.5 minutes per day, it means the period there is longer. To find how g affects the period, we are given the relationship T=k/sqrt(g) where k is a ...
*April 1, 2015*

**precalculus**

If you're not getting the correct answer, I suggest you post how you got your incorrect answer so that we will help you find what went wrong. This is the whole purpose of solving problems.
*March 31, 2015*

**chemistry to MathMate**

In case you got confused with the units, I underline that the units are the same, namely, nanometre, or nm. You have a tube of length of 5000 nm, and diameter of 1 nm. How many time is the length bigger than the diameter?
*March 31, 2015*

**chemistry to MathMate**

5000 nm is correct. How many times as big is 5000 nm (length of tube) compared to 1 nm (diameter of tube)?
*March 31, 2015*

**to CJ**

Perhaps it is easier if we go back to the question to make sure we understand information given in the question, and what the question is asking. "Nanotubes are rolled up cylinders of graphite with diameters of about 1nanometer, and lengths in micrometers." The above...
*March 31, 2015*

**links to previous posts**

For reference, these are the links to related posts on the same question. http://www.jiskha.com/display.cgi?id=1427844366 http://www.jiskha.com/display.cgi?id=1427822942
*March 31, 2015*

**chemistry to CJ**

Also, it would be of big help to you if you would re-read the question and try to understand what is being asked. It is similar to a problem like: If I can buy a candy with one penny (1 cent), how many candies can I buy with $5.00? knowing that 1$ equals 100 cents.
*March 31, 2015*

**chemistry to MathMate**

1 metre = 100 cm 5 metres = ? cm
*March 31, 2015*

**Algebra 2**

You're welcome!
*March 31, 2015*

**Algebra 2**

use the identities tanφ=sinφ/cosφ cotφ=cosφ/sinφ sin²φ+cos²φ=1 tanφ+cotφ =sinφ/cosφ+cosφ/sinφ =(sin²φ+cos²φ)/(sinφcosφ) =1/(sinφcosφ)
*March 31, 2015*

**Chemistry - toCJ**

Recall that the original question is: (I) If a nanotube is 5 micrometers long, how many diameters does this represent?
*March 31, 2015*

**Chemistry - to CJ**

If the tube is 1 nm in diameter, then veryify that 5 μm = 5*1000 nm = 5000 nm = how many diameters? Can you tell us what prevents you from finding the answer with the information above?
*March 31, 2015*

**calculus**

1. find derivative with respect to h: C'(h) = 1/15-15000000/h² 2. equate C'(h) to zero and solve for h. 2. 1/15-15000000/h² = 0 h²=225000000 h=15000 3. verify that it is a minimum (not maximum) by taking second derivative, and see that C"(15000)>...
*March 31, 2015*

**torque**

Torque = force × lever arm Assuming 190 foot-pounds is in gravitational units (i.e. foot-pound wt), then force = 120 pound-wt lever arm = x feet using the torque formula, 190 foot-pound wt = 120 pound-wt * x feet Solve for x (in feet).
*March 31, 2015*

**fluids**

use the conversions from 1. pressure: psig (rel) to psi (absolute) by adding 14.69595 psi. 2. temperature: °F to °K by (°F-31)*5/9+273.15 Then use the ideal gas formula: P1 V1 / T1 = P2 V2 / T2 to calculate V2
*March 31, 2015*

**Energy, work, power**

12 feet above, below or at the same elevation as the truck? Moving things at the same level is not considered work done because there is no change of potential energy, kinetic energy nor dissipative energy.
*March 31, 2015*

**math**

First you need to find the area of an equilateral triangle with side x. Base = x Height = (√3)x/2 Area = (√3)x²/4 Thus, the area as a function of side x A(x)=(√3)x²/4 A'(x) = (√3)x/2 Substitute x=12 cm in A'(x) to get rate of change of...
*March 31, 2015*

**Chemistry**

If the tube is 1 nm in diameter, then veryify that 5 μm = 5*1000 nm = 5000 nm = how many diameters?
*March 31, 2015*

**Chemistry**

* 1 μm = 1000 nm (nanometer)
*March 31, 2015*

**Chemistry**

1m = 1000 mm (millimeter) 1 mm = 1000 μm (micrometer) 1 μ = 1000 nm (nanometer) If the tube is 1 nm in diameter, then veryify that 5 μm = 5*1000 nm = 5000 nm = how many diameters?
*March 31, 2015*

**Physics**

Using energy principles, (KE=kinetic energy, PE=gravitational potential energy) KE+PE=constant, so KEi+PEi = KEf+PEf KEi=0 (both are stationary) KEf=(1/2)Iω^2+(1/2)mv^2 PEi=0 PEf=0+mgh (weight descended) Equate energies: 0 = (1/2)Iω^2+(1/2)mv^2 + 0+mgh (note that h...
*March 31, 2015*

**Maths**

2/5 of what was left after giving 1/6 to her mother means 2/5 of (1-1/6) of her salary. Working it out: 2/5 × (6/6-1/6) =2/5 × (5/6) =2/6 =1/3
*March 31, 2015*

**Math**

Sorry, messed up codes, the iterative equation should read: xn+1=3xn/(xn+1)
*March 31, 2015*

**Math**

Fixed points are values of x when the two sides of the iterated map are equal as n->∞. This means that fixed points are essentially the solution of the iterative equation. Here we have: xn+1=3xb/(xn+1) (please check my interpretation of your equation) To find fixed ...
*March 31, 2015*

**physics**

75W for 24 hours =0.075 kW for 24 hours =1.8 kW for 1 hour =1.8 kW-h How much would that cost?
*March 31, 2015*

**physics**

Gravitational energy (in joules) = mgh where m=mass (k) g=acceleration due to gravity (m/s²) h=height (m) Solve for h.
*March 30, 2015*

**math**

No. of digits > 6 : {7,8,9} i.e. 3 of them odd digits: {1,3,5,7,9}, i.e. 5 Total = 3×5 = 15 However, subtract number of plates with identical digits. Figure out which plates there are and calculate the final numbers.
*March 30, 2015*

**Math**

IF the size of the cubes is 1 cm³, then the number of cubes is equal to the volume in cm³. If the size of the cubes is bigger than 1cm³, then it is not possible to build the prism with the larger cubes because the GCF of 8,9,5 is 1.
*March 30, 2015*

**Probabilit**

4 red out of (4+5+2)=11 marbles Probability that first draw has no red =(11-4)/11 =7 No replacement, so probability for second draw = (10-4)/10 =6/10 Probability that both have no red = product of the two probabilities.
*March 30, 2015*

**math**

Hint: Use the triangular inequality, a+b>c where a,b,c represent three sides of any triangle.
*March 30, 2015*

**statistics**

Assuming the random selection is from a large pool of people, in which case the probability remains constant throughout the experiment. This experiment could then be modeled by the binomial distribution, with probability P(X=n)=C(N,x)px(1-p)N-x where p=probability of success...
*March 30, 2015*

**Math**

Thank you GanonTEK! Indeed, (12/52)(11/51)(10/50) is the correct answer. My bad!
*March 30, 2015*

**Math**

Probability =C(52,12) Use your calculator function nCr to calculate C(52,12) where n=52, and r=12. Or calculate =52!/((52-12)!(12!)) =52!/(40!*12!) You need to get familiar with these calculations if you are to learn anything from probabilities.
*March 30, 2015*

**Math**

There are four suits in each deck, each with 3 picture cards for a total of 12 picture cards in a deck of 52 (different) cards. The probability of choosing r objects from a pool of n different objects is C(n,r) = n! / ((n-r)!r!) where n!=factorial n = n(n-1)(n-2)...3.2.1 For ...
*March 30, 2015*

**Math**

You have probably learned C(n,r)=n!/((n-r)!r!) is the number of combinations of choosing r objects out of n. So in general, if we have letters a,a,a, b,b, c,c,c,c there are C(3,1) ways to choose a letter a C(2,1) ways to choose a letter b and C(4,1) ways to choose a letter c ...
*March 30, 2015*

**French**

In general, you have done reasonable work, because you seem to catch the sense of the text. Here are some hints to help you in future exercises and to correct the present text. One good way to do these problems is to translating mentally and reading it aloud to check if it ...
*March 30, 2015*

**Chemistry**

Assuming the temperature remains constant, you can use Boyle's law, which says that PV=constant (at constant temperature) or P1*V1 = P2*V2
*March 29, 2015*

**Chemistry**

Convert 15°C to °K: 15°C = 15+273.15°K = 288°K Then use the ideal gas equation PV=nRT n=number of moles (constant in this case) R=constant Assume also that P=pressure constant, we have V1/T1 = V2/T2 Solve for T2 to get T2=V2*(T1/V1) Substitute initial ...
*March 29, 2015*

**physics**

To prevent sliding, friction must provide (i.e. equal) the centripetal force μmg=mv²/r Solve for μ, with v=25 m/s r=220 m g=9.8 m/s² m cancels
*March 28, 2015*

**Quadratic equations**

f(x) is a quadratic equation for which exact solutions may be obtained in many ways, including factoring, completing the square, and quadratic formula. Are you studying numerical methods where an approximate solution is required instead of an exact one? Yes, your answer is ...
*March 28, 2015*

**French Grammar**

The sentences are correct or as corrected. But if you are working on, or have learned the demonstrative pronouns celui/celle/ceux/celles, then you can apply them to avoid repeating the subject in the same sentence. For example, the first sentence could have been replaced by: &...
*March 28, 2015*

**statistic**

Let's work on this together. 1. How many questions does he need to guess right to pass the test? (include all possible values) 2. What kind of distribution does this problem fall into?
*March 28, 2015*

**math**

Right, there was a typo! Thought I corrected it. Thanks Steve! Should read: g*62+(75-g)*56=75*58
*March 27, 2015*

**math**

Let g=number of girls, and assuming all data given are exact (i.e. no rounding involved), then g*62+(75-g)*58=56 Solve for g.
*March 27, 2015*

**physical science**

All free-falls on earth starts at g (9.8 m/s²) if initiated near the surface. At high elevations, g is slightly reduced because of the greater distance from the centre of the earth. Subsequently, as velocity is substantial, air-resistance plays an important rôle in ...
*March 27, 2015*

**Astronomy**

Hint: Escape velocity =√(2GM/r) G=gravitational constant M=mass r=radius When mass is doubled, replace M by 2M, similarly for r. For further reading, see for example: http://en.wikipedia.org/wiki/Escape_velocity
*March 26, 2015*

**Math**

337 is her total score, and 84.25 is her current average up to the fourth test. If she ended up with a grade of 90, that means her total score (for all five tests) is 5*90=450. So what did she score in the final test?
*March 26, 2015*

**algebra**

Hints: here are the possible situations: When discriminant is negative: 2 imaginary roots When discriminant is a positive perfect square, such as 1, 4, 9, 16... and all coefficients are rational: 2 real, rational roots When discriminant is zero, and either coefficient a or b ...
*March 26, 2015*

**Math**

Use n instead of 18% in your first and second calculations. a. 500*n%=5n net receipt=500-5n = 500(1-n/100) b. 100%-n%=(100-n)% net receipt = 500(100-n)% = 500(1-n/100) Since a and b are the same, so the two calculations are equivalent for any value of n.
*March 26, 2015*

**math**

Hints: Actual Length = model length * scale Actual area = model area * scale² Actual volume = model volume * scale³
*March 26, 2015*

**algebra II**

Use the law of logarithms: log(a)+log(b)=log(ab) => log(x+2)+log(x-3)=log(x+29) log((x+2)(x-3))=log(x+29) => (x+2)(x-3)=x+29 x²-2x-35=0 (x-7)(x+5)=0 Solve for x, and reject any solution which will result in a negative argument to the log function.
*March 26, 2015*

**computer programming**

Store three arrays: String[] model={"Chevrolet",....}; double[] dailyRate={50,85,53,60,60,70}; double[] milageRate={0.27, 0.45,....0.40}; int nModel=0; int milage=0; double cost; then present a menu for user to choose from, remembering that model[0]="Chevrlet&...
*March 26, 2015*

**Math**

Yes, that's what I got, and here's how: 1125(4*.262-1)=54
*March 26, 2015*

**Math**

Yes, you're right. I misread the 80% as the copayment. Most health insurance companies that I have seen have annual deductibles, which I assumed. Here I interpreted that the $300 was a previous payment, which exceeds the annual deductible. However, since no mention was ...
*March 26, 2015*

**Math**

He paid $300 in copayments, so that means that the deductible no longer applies on subsequent payments. Out of the $2300 in hospital bill, he has to pay the copayment of 80% = 2300*0.80 = $1840 added to the previous copayment, he paid a total of 1840+300 = $2140 Please explain...
*March 26, 2015*

**phy**

0°K------------273.15°K 0°K-------------0°C--------232°C Conversion from °C to °K °K = °C + 273.15
*March 26, 2015*

**physics**

t = time of free fall = 35 s Horizontal distance = horizontal speed × duration of free fall For the vertical component of free fall, Vyi=initial vertical velocity = 0 a=vertical acceleration = -g = -9.8 m/s² ΔY = vertical position change ΔY = Vyi(t)+(1/2...
*March 26, 2015*

**Physics**

Yes, you have figured it out. On the other hand, extraneous information is present in everyday real problems. In solving problems, it is a necessary skill to pick out relevant information.
*March 26, 2015*

**Calc**

Given a polynomial function in t where I(t) = 0.00009045t5+0.001438t4−0.06561t3+0.4598t2−.6270t+99.33 We need to find the extrema for 0≤t≤10. Steps: find first derivative I'(0), equate to zero. Solve for the zeroes which correspond to the extrema, say t1 ...
*March 26, 2015*

**Physics**

Whole circumference of a circle of radius r = 2πr. 1 km/h = 1000/3600 m/s Distance = speed × time.
*March 26, 2015*

**physics/chemistry**

Assuming the flask was filled with propane only, and propane approximately closely an ideal gas at the given temperature, you can use the ideal gas equation PV=nRT where R=8.314 J-K-1mol-1 P=pressure in pa V=volume in m³ n=number of mols (pure number) T=temperature in &...
*March 26, 2015*

**Calculus**

Try reading the following in compensation for the quick lesson. http://www.economicshelp.org/blog/7019/economics/examples-of-elasticity/ and for equations/formulas: http://study.com/academy/lesson/the-elasticity-of-demand-definition-formula-examples.html p=price=$2 q=quantity ...
*March 25, 2015*

**Computer science**

The logic looks correct except for one minor logic error in: sum=sum+(i*rem); which should read sum=sum+i*r; You need to make sure the statements execute correctly in Matlab syntax. For example, an integer division can be written as dec=dec./2; or dec=idivide(dec,2); Also, be ...
*March 25, 2015*

**physics**

We will take velocity and distance as positive upwards, and distance = 0 at the bottom of the cliff. Use Distance = Vi*t-(1/2)gt² For the stone thrown upwards, X1(t)=9.33t-(1/2)gt^2 For the stone thrown downwards, X2(t)=5.28-9.33t-(1/2)gt^2 When they meet, X1(t)=X2(t) and...
*March 25, 2015*

**Math**

Subdivide the shape into known sub-figures. Sum the areas of all the sub-figures.
*March 25, 2015*

**math is my answer correct**

Your answer is quite close. I get 337.66. If you have been copying intermediate answers to 4 figures, that would make the difference. Try to use the calculator memory instead of copying down intermediate answers.
*March 25, 2015*

**physics**

Vi=29.2 m/s θ=31.7° Vxi=Vi cos(θ) = 24.844 m/s Vyi=Vi sin(θ) = 15.344 m/s since Vy(t)=Vyi-gt so at the maximum, Vy(t)=0, or Vyi-gt=0 => t=Vyi/g The optimal (best) horizontal distance would therefore be the horizontal distance travelled during this time...
*March 25, 2015*

**French**

Subjunctive mood should be used when any of the following is involved in the situation: - doubt, - wish - desire - emotions So that applies to 1A and 1B. The present tense of the subjunctive mood for the two verbs are: You can use the Bescherelle or Internet to look up the ...
*March 25, 2015*

**System ?**

You can set up a system of equations: let x=number of 2-point questions, then 40-x = number of 3-point questions. 2(x) + 3(40-x) = 100 Solve for x. Or you can solve mentally as follows: If all questions are worth 2-point, then the total = 2*40=80 points, or 20 points too few. ...
*March 25, 2015*

**Math Check**

The answer is basically correct, except for an error of sign in one place which I think you will spot readily. Also, when there is multiplication following division, insert parentheses to express clearly what is needed. For example, 6/4y should be interpreted as (6/4)y (left-...
*March 25, 2015*

**math,Computer**

Are you already familiar with linked lists? We assume A and B are singly linked lists, i.e. linked in the forward direction only. To attain the end of a list, the node pointer must traverse every node from head to tail. The number of operations is therefore n, where n=size of ...
*March 25, 2015*

**math,Computer**

I interpret this as: if (A==φ)A|B == B else A|B = Ha|Tab But then we're defining A|B using Tab, which is the tail of A|B. Sounds to me a circular definition. Can you please clarify the definition, or give your comments?
*March 25, 2015*

**maths**

Time to reach bottom = t s distance 44 m= (1/2)gt^2 where g=acceleration due to gravity = 9.8 m/s² => t=sqrt(2*44/g)=2.997 s Subtract this time from 3.12 seconds will be the time needed for sound to travel 44 m. Use Distance=speed × time to find speed of sound.
*March 25, 2015*

**French**

If I say "con-" is a common prefix, does that help?
*March 25, 2015*

**math**

"...students having the best score..." ? 85/100 has a range of [84.5%,85.5%] 170/200 has a range of [84.75%,85.25%] I would take the better of the worst case, namely, candidate with a least score of 84.75%. In practice, I would decide by a final interview.
*March 24, 2015*

**statistics**

P(lose once) = (15-2)/15 = 13/15 = (13/15)1 by the multiplication rule: P(lose n times) = (13/15)n
*March 24, 2015*

**Math**

Total reading time: 8/9 World news: 1/4 of 8/9 = (1/4)*(8/9)=2/9 Remaining time = 8/9 - 2/9 =(8-2)/9=6/9 Half of remaining time = (1/2) 6/9 = 3/9 =1/3 h.
*March 23, 2015*

**Advanced Algebra**

Think of how many ways you can choose a chairman (10), vice-chairman (9 remaining people), secretary(8), treasurer (7). Multiply them together using the product rule, and the product is 10*9*8*7 =10*9*8*7*6*5*4*3*2*1/(6*5*4*3*2*1) =10!/(10-4)!
*March 22, 2015*

**math**

where μ represents the frequency of occurrence (success) within a given time period (week). In this case, failure is considered "success". so μ =3 "successes" / 20 weeks =3/20 By definition of the Poisson distribution, P(x;μ)=e-μμx/x! where x...
*March 21, 2015*

**math**

The outcomes are X={0,1,2,3}, with probabilities P(x)=(1/8)x!/(3!(3-x)!) The mean, or expected value E[X]=ΣxP(x) =Σ(0*(1/8)+1*(3/8)+2*(3/8)+3*(1/8)) =12/8 =3/2
*March 21, 2015*