# Posts by MathMate

Total # Posts: 11,744

**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) ...

**Math (Asap)**

You're welcome! :)

**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.

**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.

**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).

**Math**

You're welcome! :)

**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.

**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.

**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 ...

**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

**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 = ?

**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/...

**math**

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

**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...

**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.

**math**

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

**please assist me with science**

You're welcome! :)

**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?

**please assist me with science**

What did you get for N?

**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...

**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 ...

**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, ...

**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 ...

**matLab**

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

**MatLab**

* n=11, or Sum(11)

**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 ...

**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" ...

**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 ...

**Math**

All correct, to the nearest tenth of a degree.

**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 =∫...

**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

**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 ...

**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...

**physics**

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

**Pre-Calculus (Trigonometry)**

You're welcome! :)

**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.

**Algebra 2**

See other post please.

**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.

**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.

**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...

**math**

Correct! Well done.

**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.

**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)

**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, ...

**Algebra 2**

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

**Algebra 2**

Have you done factoring of polynomials?

**Algebra 2**

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

**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.

**math**

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

**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)

**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....

**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.

**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 ...

**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 ...

**Math**

Please see you later post.

**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 ...

**Math**

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

**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.

**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

**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 (-∞,∞)

**Algebra 2**

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

**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...

**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,∞) (...

**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

**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 ...

**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.

**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.

**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 ...

**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.

**math**

It looks to me this is an incompatible mixture of the two previous problems. f(x)≠(x+1)/2 if X~N(6,4). Please explain or elaborate if I am mistaken.

**math**

See response to previous post: http://www.jiskha.com/display.cgi?id=1419789148

**math**

Look up normal probability table for X~N(6,4) for P(X<8)=0.69 (approx.), so P(X>8)=0.31. Since we have random samples which we assume to be independent, we can use binomial probability distribution to calculate P(max{x1,x2,x3}>8). Alternatively, we can calculate P(all...

**math**

Given f(x)=(x+1)/2, -1<x<1 and zero elsewhere. So for each individual sample, P(X>0)=∫f(x)dx from 0 to 1 =∫(1/2)(x+1)dx =(1/2)[x²/2+x] 0 to 1 =3/4 = p Assume x1...x5 are independent and random samples, binomial theorem is appropriate: P(four of 5 X >0...

**programming**

Programming is a subject learned by intuition (for geniuses) or by practice (most of us). If your teacher did not cover programming, then it must have been required as a prerequisite. The problem given is not even for a first course in c-programming, so you will have a lot of ...

**programming**

What course are you taking, and which topics have been covered? It looks like this is an assignment to help you understand and apply what you have learned. I believe you should be able to show us some code or at least some pseudocode and start getting help with difficulties ...

**probability**

Let's simplify the problem to having 7 red balls, 5 green balls, and 4 blue balls (for a total of 16). Find the probability of drawing 2 red balls, 2R 2 green balls, 2G 2 blue balls, 2B (total of 6 balls), then Below we will use the notation of (n,r)=combination (n,r) =n...

**algebra**

Here we have two samples from two populations and would like to determine if the means are the same, namely to accept or reject: H0: μ1-μ2=0 The sample size n=14 is not sufficient to justify normality using the central limit theorem. Either an assumption of normality has...

**computers**

One possible cause is that the remote server administration tools are not installed on Windows 8 or 8.1. By default, they are not. If that's the case, the Active directory utilities, users etc will not be available. The fact that it pings the file server means that it is ...

**math**

Correction to missing parentheses for above expression for Z Z=[(X̄1-X̄2)-(μ1-μ2)] / sqrt(σ1²/n1 + σ2²/n2)

**math**

We have two samples, n1=n2=25 both are normally distributed, and are independent. Under these given conditions, E(X̄1-X̄2)=E(X̄1)-E(X̄2)=μ1-μ2 VAR(X̄1-X̄2)=V(X̄1)+V(X̄2)=σ1²/n1 + σ2²/n2 Z=(X̄1-X...

**Probability**

the equation you need is P(X=r)=C(n,r)*p^r*(1-p)^(n-r) C(n,r)=n!/((n-r)!r!) and n!=n(n-1)(n-2)....(2)1=factorial n You have everything you need to calculate the required probability. It turns out that C(n,0)=1 for any positive value of n. The answer is less than 5%. You can ...

**Math**

The rule of 72 says that the time in years it takes to double your money is 72 divided by the interest rate in percent. However, it applies to compound interest, but it still gives an approximate number of 100=72/x or x=0.72%. To calculate accurately, we use Future amount =Pe...

**Algebra**

add: ...and the remaining 24 variables equal to zero.

**Algebra**

Because it is circularly symmetrical, all 26 variables cannot have the same value (otherwise the sum would be zero). To maximize the value of |a-n|, we need |a-n|=10 which in the integer domain gives ±(0,-10),±(1,-9),±(2,-8),...±(5,-5),

**geometry**

A hexagon consists of 6 equilateral triangles. Therefore the side of each triangle is 24/6=4 units which also equals the radius of the circumscribed circle.

**geometry**

AU+UQ=5*AU UQ=26 so 26+AU=5*AU solve for AU.

**Statistics**

Baye's theorem P(P|Q)=P(P∩Q)/P(Q)=P(Q∩P)/P(Q) =P(Q∩P)/P(P)*(P(P)/P(Q)) =P(Q|P)*(P(P)/P(Q)) or simply P(P|Q)=P(Q|P)*(P(P)/P(Q)) Here P=stereo came from company A Q=stereo is defective So P(P|Q) probability that the stereo came from company A given that it is ...

**Physics**

Connected in series means the resistances could be added. Equivalent resistor = 4+10=14Ω Voltage = 12 V Assuming battery has zero internal resistance, V=IR, or I=V/R = 12/14 A = 6/7 A.

**Physics**

Length L = 6m Angle with horiontal, θ = 50° Friction with wall = 0 Coefficient between ladder and floor, μ = 0.5 Mass of ladder = M Mass of man, m = 11M Let the man climbs up X m. from the bottom, Vertical reaction of floor, R = M+11M=12M (because wall is smooth) ...

**Lat math question for some days. Can y'all help?**

No problem!

**Lat math question for some days. Can y'all help?**

Didn't you get an answer last time: http://www.jiskha.com/display.cgi?id=1416267535

**French**

Sorry, the codes didn't show, hope it is better this time: Some hints: (skip the blank spaces after & and before ;) à write & agrave ; è write & egrave ; é write & eacute ; ô write & ocirc ;

**French**

Some hints: (skip the blank space before ;) à write à ; è write è ; é write é ; ô write ô ; etc. Most of the verbs used are conjugated with the verb être, which means that you need to match the form of the verb with the ...

**French**

Please post your work so we can give you help instead of doing it for you. If you have difficulty with a certain aspect, please explain.

**Algebra please?**

How do you propose to do it, using a calculator, or by hand (there are algorithms to find square and cube roots)), or by factoring?

**matha**

Length of minute hand: 9m Angle moved in one hour = 360° Distance = (360/360)*2*π*9m=18π m Length of hour hand: 9m*2/3=6m Angle moved in one hour = 360/12=30° Distance = (30/360)*2*π*6 = π m Calculate the difference.

**calc**

This is a problem where the paraboloid projects a circle of radius 1 (represented by the region D) on the x-z plane. y=0 when x=z=0 y=1 when x²+z²=1 So let I=∫∫DydS It may be changed to cylindrical coordinates where dS=rdrdθ, and using y=x²+z²...

**Chemestry**

Density=mass/volume, so Volume = mass/density Check carefully units and number of significant figures.

**Statistics**

The "68-95-99.7 rule" represents the two-tail probability of data within ±1,2 and 3 standard deviations respectively. For example, the probability of picking a value X from a normal distribution within the range μ-σ<Xμ+σ is approximately 68%. ...

**MATHS - ratios**

use ratios: 60 km / 1.5 hours = 100 km /x hours x=1.5 hours * (100/60) = ?