Sunday

September 25, 2016
Total # Posts: 11,475

**mathematics**

Hints: 1. Use basic laws of logarithm: log(a)+log(b)=log(ab) log(a)-log(b)=log(a/b) log(a^b)=b(log(a)) and use the fact that all the numeric values are powers of 2: 2^6=64 2^2=4 2^3=8 2^10=1024 2. I'll get you started: r^2s^2+3t^2+r^2t^2+3s^2 =(r^2s^2+r^2t^2)+(3t^2+3s^2 ) ...

*March 12, 2015*

**Physics**

Assuming the raft is navigating in fresh water with ρ=1. Archimedes principle of floatation says that the mass of a floating body equals the mass liquid displaced. So until the mass exceeds the mass of liquid (fresh water) displaced by the volume of the raft, it will float...

*March 11, 2015*

**Probability**

Total of (13+17+15+11)=56 balls, out of which 17 are orange and 11 are white. Assume no replacement of balls. The first orange: 17 out of 56 (17/56) The second orange: 16 out of 55 (16/55) The white: 11 out of 54 (11/54) The probability of pulling in the given order is the ...

*March 11, 2015*

**Chemistry( I NEED HELP, PLEASE!!!!, IM DESPERATE)**

You're welcome! :)

*March 11, 2015*

**Chemistry( I NEED HELP, PLEASE!!!!, IM DESPERATE)**

From the ratio of molar masses according to the equation, find the required mass of H2 for 45.9 g of CuO. If the required mass of H2 is greater than 2.57g, then the limiting reagent is H2. If the required mass of H2 is less than 2.56g, then the limiting reagent is CuO. MM for ...

*March 11, 2015*

**statistics**

Order is not important, so 5 ways to find a male, and 7 ways to find a female. Using the rule of multiplication, the number of ways to find a male and a female actor is 7*5=35 ways.

*March 11, 2015*

**physics**

Since it is braking, the acceleration is negative. Use the standard equation Vf^2-Vi^2=2(a)S where Vf = final velocity (=0) Vi = initial velocity (90 km/h=90*1000/3600=25 m/s) a=acceleration required (m/s^2) S=distance = 1.3 km = 1300 m 0^2-25^2=2(a)1300 Solve for a (in m/s^2)

*March 11, 2015*

**chemistry**

Molecular mass of CH4=12+4=16 Molecular mass of H2O=16+2=18 Use the combustion equation: CH4+2O2=CO2+2H2O or 16 grams of CH4 should produce 2*18=36 grams of H2O. If there are only 9g of H2O produced, use proportions to calculate the mass of CH4 that produced the H2O, and hence...

*March 11, 2015*

**Algebra please explain!!!**

Use depreciation formula: Future value = Present value (1-rate)^(number of years) rate is in % per annum = 0.15 number of years = 10 Present value = 92000

*March 11, 2015*

**physics**

Use F=ma For top string, m=2*3.75=7.5 kg a=1.6 m/s62 T1=force in top string For staionary masses, T=mg If in addition, T1 casues upward acceleration, then (T1-mg)=ma or T1=m(a+g)=7.5(1.6+9.81)=85.75 N For the lower string (T2), use same argument, but with a different mass.

*March 11, 2015*

**nscc**

Probability =number of successful outcomes/number of possible outcomes. A standard deck has 4 kings and 52 cards. What constitutes a successful outcome is drawing a king. The number of possible outcomes is the number of cards in a deck. So use the definition given at the ...

*March 11, 2015*

**programming in c++**

Make a data structure (or simply a table) to store the pricing schemes. Use a pseudocode to plan the program flow. It should roughly look like the following: 1. Initialize pricing data 2. Prompt for input, e.g. number of persons, category/destination, etc. 3. Perform ...

*March 11, 2015*

**Statistics**

(a) p=0.87, q=0.13, n=212 need P(X>=50) mean = np = 212*0.87 = 184.44 variance = npq = 23.9772 σ = sqrt(variance) = 4.8967 To find P(X>=50)=P(Z>(50-184.44)/4.8967) =P(Z>-27.45)=1.000 from Normal probability table. Do a similar calculation for (b) using p=0.13

*March 10, 2015*

**math**

The easiest way is to make a Venn diagram (which you probably know how to do). Draw a box containing 50 students. Draw a circle containing 22 skateboards Draw another circle, overlapping the first, with 18 roller shoes. The overlap represents 6 students with both. So the ...

*March 10, 2015*

**statistics - can someone please Help me**

You're welcome!

*March 10, 2015*

**statistics - can someone please Help me**

Note on log: At college and university level, log to the base 10 is rarely used, so often log stands for natural log, sometimes also written as ln. Log10 is used for log to the base 10. If you are not sure, check ln(0.5)=log(0.5)=-0.6931472 log10(0.5)=-0.3010300 To start, we ...

*March 10, 2015*

**Chemistry**

To find the ions, we need to know the properties of some metals. Since we added chloride and carbonate ions and obtained precipitates, we need to know the solubilities and colours of the following salts: (S=soluble, I=insoluble) Salt Solubility Colour AgCl I White CuCl2 S blue...

*March 10, 2015*

**Check Answers (Math)**

In a typical function y=ax²+k k will shift the graph up and down, so does not affect the width. a is the vertical stretching factor. The greater its absolute value, the narrower the graph gets. A negative value of a will flip the graph about the x-axis, but will not ...

*March 10, 2015*

**finite math**

The two dice are assumed distinct. How many ways are there to get the desired outcomes (success): Sum 4 1-3,2-2,3-1 so 3 5 1-4,2-3,3,2,4,1 so 4 6 1-5,2-4,3-3,4-2,5-1 so 5 7 1-6,2-5,3-4,4-3,5-2,6-1 so 6 ... Continue until 11 (less than 12) and add the total number of ways to ...

*March 10, 2015*

**Foreign Language, French**

For #3, you can also say: Le serveur a couvert la table d'une nappe.

*March 10, 2015*

**statistics**

Let N=event of picking a nickel (5 cents) D=event of picking a dime (10 cents) X()=value of outcome P()=probability of outcome Possible outcomes: NN : X(NN) = 10 P(NN)=(3/5)(2/4)=3/10 ND : X(ND) = 15 P(ND)=(3/5)(2/4)=3/10 DN : X(DN) = 15 P(DN)=(2/5)(3/4)=3/10 DD : X(DD) = 20 P...

*March 10, 2015*

**Math help please!!!**

"Min is 4 " I do not find a 4 in the data. Is there a typo in the answer or the question? Q1 is the median of the left half of data, which is 13,13|20,21 For the given data, Q1 equals the mean of 13 and 20, which makes 16.5. Good work!

*March 10, 2015*

**Calculus**

dy/dx = 4y separate variables, dy/y = 4dx Integrate log(y)=4x+C or y=Ce^4x At x=7, y=6, so 6=Ce^(4*7) C=6/e^28 So y=6e^(4x-28) Check: y'(x)=dy/dx=24e^(4x-28) y'(2.5)=3.655*10^-7 y(2.5)=9.138*10^-8 y'(2.5)/y(2.5)=4.000 ok

*March 9, 2015*

**Raptor flowchart software**

zobon, Raptor is a visual software that does not quite express in words. It is quite visual and almost syntax-free, and you should have no problem working with it. You can also post your particular difficulty, if you have any. If you want your work checked, you can post an ...

*March 9, 2015*

**Useful information for Kaytlin**

Some selected ways to lower the priority of your question: 1. Multiple questions in the same post 2. Multiple questions in the same post of the same category 3. Multiple questions in the same post of the same category, and show no sign of any effort. 4. Multiple questions in ...

*March 9, 2015*

**geography help needed**

geography help needed

*March 9, 2015*

**french (for Mya)**

For French as in math, you cannot make a choice by guesses. You have to understand the rule/method to get the right answer, and then choose the correct one. These questions are based on the following: the noun which the pronouns replace must agree in gender and number. Gender ...

*March 9, 2015*

**Math Help!**

Range of a dataset is the highest data value minus the lowest data value. In light of this, would you change your answer, and why?

*March 6, 2015*

**Math**

Hint: Domain of a set of ordered pairs is the set of all the "x-values", or the first value of each ordered pair. Range is the set of y-values of the ordered pairs.

*March 6, 2015*

**Math**

In general, the line y=ax+b is in the slope intercept form, meaning that a=slope of the line, and b=y-intercept. For example, y=x+2 will have a line that has y-intercept =2 (i.e. the point (0,2)) and a slope of 1. So graph a point at (0,2), and draw the remaining line passing ...

*March 2, 2015*

**math**

We need to find a and b, so we will look for two equations. The first one is simply the point (1,1), which tells us that 1=y(1), or 1=a(1^3)+b(1)=a+b, or a+b=1............(1) The second one is the fact that the gradient (dy/dx) at (1,1)=-5. Since dy/dx = 3ax²+b, we have -...

*March 2, 2015*

**math**

The domain of a polynomial is R (real). The domain of a rational function (polynomial divided by another) is R less the points where the denominator becomes zero. The given function g(x) is a rational function where the denominator can be factorized into (x^2-36)=(x+6)(x-6) ...

*March 2, 2015*

**Math (Asap)**

You're welcome! :)

*March 2, 2015*

**Math (Asap)**

Example: A trinomial with ab as a common factor can be created by doing 2ab(3+5x+7x^2)=6ab+10abx+14abx^2 The common factor will be the GCF as long as the trinomial in brackets does not contain any common factor with 2ab.

*March 2, 2015*

**Math**

As long as you mean Tk=1/(5k) is the rule for term k of the given sequence Tk, you're correct. Perhaps 1/(5^k) refers to a different series.

*March 2, 2015*

**physics**

The question is heat can never flow from_________. We know that heat flows from hot to cold, so the answer is "cold to hot". Cold is not a physical quantity, heat is (measured in calories or joules).

*March 2, 2015*

**Math**

You're welcome! :)

*March 2, 2015*

**Math**

For an open-top rectangular prism with width w, length L and height h, the area of the base is wL. The area of the 4 sides is 2h(w+L) So the surface area of the open prism/bag is A=wL+2h(w+L). The correct answer is one of the given choices.

*March 2, 2015*

**science**

I do not see how you can get 13.0. Please show your work (must use consistent units, kg, N, s, m) F=1.2kN=1200N m=490 kg g=9.8 or 9.81 m/s^2 Perhaps it was a mistake on the calcultor, so please try again. μ should be between 0 and 1.

*March 2, 2015*

**science**

Draw the free body diagram which reveals the net forces on the body. The force F at 20 degrees with horizontal has an upward component of Fsin(20) which has the effect of reducing the normal reaction N from mg to mg-Fsin(20). The horizontal component of Fcos(20) is the only ...

*March 2, 2015*

**Math**

15 - 7 2/5 = 14 + 5/5 - 7 2/5 = 14-7 + (5/5-2/5) = 7 + (5-2)/5 = 7 + 3/5 = 7 3/5

*March 2, 2015*

**Math**

The answer is a fraction of the money he has. he spent: 1/2 (on candy) and 1/5 (on chocolate) for a total of 1/2+1/5. To add the fractions, we first find the common denominator, which is the LCM of 2 and 5 =10. 1/2+1/5=5/10+2/10=(5+2)/10 = ?

*March 2, 2015*

**maths**

It falls under the binomial theorem or binomial expansion when there are finite terms (this case). When the number of terms is infinite, such as (2-x/2)^(-3), then it falls under Taylor's series. Following are some typical references: http://mathworld.wolfram.com/...

*March 2, 2015*

**math**

Another possible reason is that your keyboard code has a different value for the "+" sign, which is rare.

*March 2, 2015*

**math**

An identical previous post been answered. The disappearance of the + sign is because you have probably have copied and pasted, and the original + sign was not in ASCII code if it was in another application. If you have to cut and paste, try to first paste it in an ascii editor...

*March 2, 2015*

**help! Physics**

Ask yourself the question: Will a greater coefficient of friction speed up the movement or slows it down? Then try to formulate your answer to the posted question.

*March 2, 2015*

**math**

We are given a lot, but the information has to be related some how. Can you check the question please?

*March 2, 2015*

**please assist me with science**

You're welcome! :)

*March 2, 2015*

**please assist me with science**

I have m(9.8)sin(28)+m(9.8)cos(28)*0.387=588 from which m=588/(9.8(sin(28)+0.387cos(28)) Do you have the same expression?

*March 2, 2015*

**please assist me with science**

What did you get for N?

*March 2, 2015*

**please assist me with science**

I get about half of that, which is pretty small for a car. A small MG-midget weighs more than that, unless it is an ATV. Can you check if you have a factor of 2 missing somewhere? If you don't spot it, tell me what you have for N (normal component), the value of g that you...

*March 2, 2015*

**please assist me with science**

First step: draw a free body diagram, showing 1. W=mg 2. down-plane component: mg sin(θ) 3. normal component, N: mg cos(θ) 4. friction (parallel to plane, downwards) = μN 5. applied force, F=588 N Since car is moving up the plane at constant velocity, forces ...

*March 2, 2015*

**Maths**

Put x=5-7y Substitute in the circle (5-7y)²+y²=15 Solve for the two values of y. Find corresponding values of x to give two ordered pairs which are solutions to (a) for P and Q. For (b), use the mid-point formula M=((x1+x2)/2, (y1+y2)/2) If you need further help, ...

*March 2, 2015*

**Calculus 2**

First step: decompose into partial fractions (probably the hardest part of the problem) Factorize the denominator (if possible) x^3+x^2+x+1=x^2(x+1)+1(x+1)=(x^2+1)(x+1) so we can decompose the given fraction into: 1/(x^3+x^2+x+1) =1/2(x+1) + (1-x)/2(x^2+1) which can be ...

*March 2, 2015*

**matLab**

If you know the syntax for plotting in Matlab, then it would be similar to your previous problem in the name of Jasmine.

*March 2, 2015*

**MatLab**

* n=11, or Sum(11)

*March 2, 2015*

**MatLab**

Do you mean y=Σ 2^n/n for n=1,3,...11 ? If you are already familiar with the syntax of Matlab, you can use the following pseudocode: function [S] = Sum(n) sum=0; for i=1:n:2 sum=sum+2^i/i; end S=sum; end The calling program has to supply i=11 to evaluate the required ...

*March 2, 2015*

**Math**

I interpret "adding the square root of 16 and -8" as "adding the square root of 16 and the square root of -8" which gives sqrt(16)+sqrt(-8) = 4+2√2 i which is a complex irrational number. If I interpret "adding the square root of 16 and -8" ...

*March 1, 2015*

**math**

Use the mortgage payment formula: and assume 2% is per annum and compounded monthly, A=PR^n(R-1)/(R^n-1) where A=monthly payment ($850) n=number of months (=30) P=principal (amount borrowed) R=monthly interest rate + 1 =(0.02/12+1) Solve for P P=A(R^n-1)/(R^n(R-1)) It should ...

*March 1, 2015*

**Math**

All correct, to the nearest tenth of a degree.

*February 26, 2015*

**Calculus II**

The hydrostatic pressure at a distance of x, measured along the plate from the top of the plate is P(x)=ρg(6m + x sin(30°)) For a horizontal strip of width dx, and length w (=3 m), the force is dF=pressure × area =P(x)*w*dx =P(x)*w*dx Total force = ∫dF =∫...

*February 26, 2015*

**Please help and explain engineering science n3**

Component of force acting down the incline F1 = mg sin(θ) Normal component of weight (affects friction) N = mg cos(θ) Frictional force Fr = μkN Force exerted by engine to overcome gravity and friction F= Fr + F1

*February 26, 2015*

**Math**

Sine rule states that: sin(A)/a = sin(B)/b = sin(C)/c Here you are given both a and A, so knowledge of c will let you solve for sin(C). Sin(C)=c*(sin(A)/a)=0.96225 and sin-10.96225=74.207° or 105.793° since sin(x) is symmetrical about 90°. If the sum of the larger ...

*February 24, 2015*

**physics**

If you used 47kg and 37 degrees, you need to redo your calculations. Check your calculator for the trig functions to see if it is set in degree mode. In degree mode: cos(60)=0.50000000 In radian mode: cos(60)=-0.95241298...

*February 22, 2015*

**physics**

(45.0)*(9.80)*(sin35 degrees)= a number 45kg or 47kg?

*February 22, 2015*

**Pre-Calculus (Trigonometry)**

You're welcome! :)

*February 22, 2015*

**Pre-Calculus (Trigonometry)**

The sine curve is symmetrical about 90 degrees. So sin(x) has the same value as sin(180-x). Review of the unit circle will certainly help as well.

*February 22, 2015*

**Algebra 2**

See other post please.

*February 22, 2015*

**No alias please**

Nancy, Ann, Brooke, etc. We prefer you to use a single name at this site for continuity. Thank you for your cooperation.

*February 22, 2015*

**Algebra 2**

Use the rules of logarithm (any base): log(a)-log(b)= log(a/b) and the definition of log to the base a log_a(b)=x means a^x=b where a>0. So log_2(x^2-20)-log_2(x)=3 means log_2((x^2-20)/x)=3 now you can apply the definition of logarithm to solve for x.

*February 22, 2015*

**Trigonometry (Logarithmic Function)**

Rules of logarithm if log(a)=x, then log(a^2)=2x, ... log(a^n)=n×log(a) Similarly, if log(a)=x, then log(√a)=(1/2)x...

*February 22, 2015*

**math**

Correct! Well done.

*February 22, 2015*

**Math**

We have a problem with an integer solution. Use proportion/ratios, 2 boys to 3 girls means 2 boys to 5 total number of members. 2:5 = 4:10 = 6:15 .... try until the total number of members x is 20<x<30.

*February 22, 2015*

**Algebra 2**

Your steps are correct if the equation was: 8^(2x-1) = 16^(x+1) and assuming this is the case. Since 8=2^3, and 16=2^4, you can simplify further using the same rule of logarithms: log(a^b)=b×log(a)

*February 22, 2015*

**Algebra 2**

Grouping has to be done in such a way as to have a common factor. With cubics, the usual strategy is to find an obvious factor, then reduce the cubic to a quadratic by synthetic (or long) division. The first factor is to check for (x-1). If all the coefficients add to zero, ...

*February 22, 2015*

**Algebra 2**

I notice that the sum of all the coefficients is zero. Do you know how that would help?

*February 22, 2015*

**Algebra 2**

Have you done factoring of polynomials?

*February 22, 2015*

**Algebra 2**

x^2 - 3x^2-22x+24=0 is a quadratic with two like terms. Would you like to double check for typos?

*February 22, 2015*

**math**

Now you can take the time to reread and understand the question. What is the length if the width is x? Take the sentence "length is five less than two times the width" and replace the word "width" by x (that we defined above), and translate it to mathematics.

*February 22, 2015*

**math**

Put x = width of the garden then what would be the length in terms of x?

*February 22, 2015*

**Math**

It doe not look too clear what P and Q are, I am assuming the following. P=(4,3,0) Q=(0,6,6) PQ = Q-P = <4,-3,-6> by subtraction = 4i-3j-6k in unit vectors. Length of vector <x,y,z> = sqrt(x^2+y^2+z^2)

*February 22, 2015*

**statistics**

Let event A=pump A is working B=pump B is working Assume pumps A and B are independent. then A'=pump A is not working B'=pump B is not working, hence P(A')=0.1 (probability that pump A fails) P(A)=1-0.1=0.9 (probaility that pump A works) P(B')=0.2 P(B)=1-0.2=0....

*February 22, 2015*

**Maths**

Hmm, let me see. f(-2)=0, check f(1)=0, check f(2)=0, check when expanded, the leading coefficient is 2 (polynomial=2x³-2x²-8x+8) This checks too. Yes, your answer is correct.

*February 18, 2015*

**Math**

Hint: The factors of a number, say 12, are 1,2,3,4,6,12, or rearranged differently, 1,12, 2,6, 3,4 for a total of 6 (even). The factors of a prime number, say, 23, are 1,23 for a total of 2 (even). The factors of another composite, say, 36, are 1,2,3,4,6,9,12,18,36, or ...

*February 18, 2015*

**physics**

When the ball reaches the highest point, it means that its vertical velocty v1 is zero. With an initial velocity of v0 (upwards), and an acceleration due to gravity of -g (downwards), we use the relation v1=v0+at substituting v1=0, v0=16.5 and g=-9.81, you would be able to ...

*February 18, 2015*

**Math**

Please see you later post.

*February 18, 2015*

**Math Help Please**

"solve" involves at least one equation and one unknown. I think you mean "simplify the expression". Also, according to PEMDAS, you need parentheses when dividing a polynomial by a binomial, and the division is written on a single line (as you do when you ...

*February 18, 2015*

**Math**

This is also the handshake problem. Use the logic of the answer to the previous post.

*January 19, 2015*

**Math**

This is the same as the hand-shake problem. N people talked to N-1 people. But each call involves two people, so the number of calls is N(N-1)/2.

*January 19, 2015*

**physics**

g is not required if the bike is on a horizontal road. velocity = 1.3*10^3 m / (14 min * 60 s/min) = (65/42) m/s Kinetic energy = (1/2)mv^2 = (1/2)(57.1)(65/42)^2 J

*January 19, 2015*

**Algebra 2**

f(x)=5x+3 g(x)=6x-2 fxg(x)= (5x+3)(6x-2) Expand and simplify. The domain of a polynomial is (-∞,∞)

*January 14, 2015*

**Algebra 2**

f(x)+g(x)=-5x-4 + 6x+7 You can simplify and make your answer choice from the list.

*January 14, 2015*

**ALGEBRA**

Please write in upper/lower case. It's easier to read. Here's an example to help you solve the given problems. Factorize (x+2)^2-5(x+2)-14. Keep the (x+2) as a single entity, say y=(x+2), then (x+2)^2-4(x+2)-12 =y^2-4y-12 =(y-6)(y+2) Now substitute y=x+2 =(x+2-6)(x+2+2...

*January 14, 2015*

**Algebra**

You can solve it like almost any equation, but replacing the equality sign with \≠. For example, solve for q in (4a+3)/5≠3 so we can continue 4a+3≠5*3 4a≠15-3 4a≠12 a≠3 is the answer. In set notation, a ∈ R\3, or a ∈ (-∞,3)∪(3,∞) (...

*January 14, 2015*

**chemistry**

The solubility of gases in water depend on the atmospheric pressure and the ambient temperature. Here's a link to the solubility of various gases (in g/1000g water). http://www.engineeringtoolbox.com/gases-solubility-water-d_1148.html

*January 2, 2015*

**maths**

Before 10:15, only car is on the road, by which time it has travelled 80*(15/60)=20 km towards B. So remaining distance as of 10:15 is 150-20=130 km. When lorry starts, they approach each other at a total speed of (80+40)=120 km/h. Elapsed time (since 10:15) when they meet is ...

*December 31, 2014*

**java programming**

Which sorting algorithm do you plan to use? For small number of items (less than 200), bubble sort is easy to understand and code using for-loops. For large number of random items, quick sort could be used, but requires the understanding of recursivity.

*December 30, 2014*

**Medical billing/coding**

Try http://www.findacode.com/ to help you look up the codes if you don't have access to any. Do remember that if you are coding for medical billing, you need the codes for acts performed, not the diagnoses.

*December 30, 2014*

**Math/ Statistics**

The null hypothesis is generally an equality, which makes it: H0: The average attendance at home games equals 3000. However, when the alternative hypothesis is one sided, which in this case is: H1: The average attendance at home games is less than 3000. It will be understood ...

*December 30, 2014*

**math**

Please check if what is needed is P(x1/x2<0.5) or is it P(xi/xj<0.5) because otherwise x3 is not playing any role.

*December 28, 2014*