Thursday

May 28, 2015

May 28, 2015

Total # Posts: 11,295

**physics**

If k is the spring constant in N/m, and if the initial length is the natural (stress length), then energy=work done =(1/2)kx² joules where x=stretching in metres =15.9cm=0.159 m
*May 25, 2014*

**Math functions help**

a) correct b) put (x+1) instead of x in f(x), f(x+1)=1-2(x+1)=1-2x-2=-2-2x c) g o f(x) (reads g of f(x)) means g(f(x)) =g(1-2x) =(1-2x)²+1 =1-4x+4x²+1 =2-4x+4x² =2(1-2x+2x²) d) f-1(x) the inverse of f(x). follow the following steps to find the inverse. 1. ...
*May 25, 2014*

**quadratics math**

Let h=height base, b =h+4 Area of triangle =bh/2 =(h+4)h/2 or h(h+4)/2 = 48 Solve for h. h²+4h-96=0 (h-12)(h+8)=0 h=12 or h=-8 (reject negative root)
*May 25, 2014*

**euclidean geometry-missing diagram**

Please describe diagram or post a link. If ABC form a triangle, and X,Y are mid-points of AB and BC, then mXY = mAC÷2 Reason: ΔBXY~ΔBAC SAS mXY=mAC÷2 corr. sides proportional
*May 25, 2014*

**math quadratic equations**

A. correct B. look for two numbers m,n such that mn=2*15=30, and m+n=13. m and n are therefore 10 and 3. 2x²+10x + 3x+15 =2x(x+5) + 3(x+5) =(2x+3)(x+5) C. y-intercept: correct. X-intercept=zeroes. Factorize y=x²-3x-4=(x+1)(x-4) to get the zeroes. The vertex is ...
*May 25, 2014*

**Physics**

60 rpm = 60 revolutions / minute = 60 revolutions / 60 seconds = 1 revolution / second = 1 hertz (Hz) So what is 45 rpm in Hz? Orbital time is the shortest time for any point on the record to come back to the previous position, which is the same as the time it takes to make ...
*May 25, 2014*

**Physics**

It would be easier to set references. In this case, I would set t=0 when B starts pursuit, at which time A would be ahead by 25 m/s *2 s = 50 m. For distance reference, I would set B's initial position as zero. This means that A's position as a function of time, A(t...
*May 25, 2014*

**7th math**

You need to know the scale. Divide the dimensions by the scale to get the drawing dimension. For example, for a scale of 1:500, 120 m /500 = 0.24 m = 24 cm 400 m /500 = 0.80 m = 80 cm and so on. Familiarity with units conversion is a definite asset in these problems.
*May 25, 2014*

**algebra**

All students have equal probabilities of being picked (random). Number of possible successes (picking an A-student) = 24 Size of Ω (sample space)=237 Probability of success = 24/237, a little more than 10%.
*May 24, 2014*

**PRE CALC HELP PLEASE**

First set up equation for each house to put together a system of 3 linear equations. You can then solve by the method you have learned. Finally post your answer for checking as necessary. I will start the setting up of the equations. Let M=pluMber's hours E=electrician'...
*May 24, 2014*

**maths**

Isolate variable by transposition: 5t²=520 Divide by the coefficient of t² t²=520/5=104 Take square-root on both sides: t=±104=±10.2 (approximately)
*May 24, 2014*

**Algebra**

Hmm... I would think expected profit (oil)=415000-25000=390000 expected profit (gas)=145000-25000=120000
*May 24, 2014*

**Geometry (Checking)**

See your original post.
*May 24, 2014*

**Business mat**

b=3 after you subtract 7x from both sides.
*May 24, 2014*

**algebra**

The question says Find P(A) if P(A)=0.7, so P(A)=0.7 Do you mean P(A')=1-P(A)=1-0.7=0.3?
*May 24, 2014*

**Geometry**

You're welcome!
*May 24, 2014*

**Geometry**

All correct except the first. A point from the inside of a simple figure will cross an odd number of times to connect to any point outside.
*May 24, 2014*

**Maths**

Yes, it makes life a little easier. I love integers! :)
*May 24, 2014*

**Maths**

Let the series be a, ax, ax² "The third term is 3.2 times the sum of the other two" means ax²/(a+ax)=3.2 cross multiply: ax²=3.2(a+ax) cancel common factor a (≠0) & multiply by 10 10x²-32x-32=0 =>x=4 or x= -4/5 Reject solution where |x|<1...
*May 24, 2014*

**Algebra 1 - use parentheses**

According the the BEDMAS rules, the expression you posted simplifies to 25-1-3x-10 =14-3x which is probably not what is intended. All fractions have implicit parentheses on the numerator and denominator. You have probably omitted to insert them when you transcribe the ...
*May 24, 2014*

**Precalculus...repost.. The tutor didn't quite answ**

The tutor was saying plug -7.5 in for x in +16x^2+200x +600=0, which means that -7.5 is indeed a root of -16x^2-200x -600=0. The fallacy lies in the statement: " plugged -7.5 in for x in -16x^2-200x-600 the result does not equal to +600" The result should equal to ...
*May 24, 2014*

**physics**

"Assume the +x-direction is up along the slope and the +y-direction is perpendicular to the slope and out of the ground." Since the perpendicular component of the velocity "digs" into the ground, so by definition of the y-axis, it is negative.
*May 24, 2014*

**physics**

Good catch, didn't see the details!
*May 24, 2014*

**physics**

Let v=ground velocity of plane = 500 m/s Since slope is rise/run, so the angle of the "ground" relative to the horizontal θ=tan<-1>(3/100) Component of velocity vector perpendicular to the ground = v*sin(θ) = ?
*May 24, 2014*

**physics**

See earlier post: http://www.jiskha.com/display.cgi?id=1400921781
*May 24, 2014*

**Algebra**

You're welcome!
*May 24, 2014*

**Algebra**

I guess my typo made more confusion than anything else! :( a1/2 ÷ a² is the mathematical equivalent of a1/2 / a² so no worries. I wrote the ÷ specifically to avoid confusion since two "/" signs were in the expression.
*May 24, 2014*

**Algebra**

a1/2 ÷ a² is the mathematical equivalent of a1/2 / a² so no worries. I wrote the ÷ specifically to avoid confusion since two "/" signs were in the expression.
*May 24, 2014*

**Algebra**

If you mean a1/2 ÷ a² then by the law of exponents, 1/a² becomes a-2 and the expression equals a1/2+(-2) =?
*May 24, 2014*

**bu**

Voltage (volts) = current (amp) * resistance (Ω) or I=V/R (amps) V=220 volts Case 1: each resistance alone, R=24Ω Case 2: in series, R=2*24=48Ω Case 3: in parallel, R=1/(1/24+1/24)=12Ω You can then calculate current I in each case using formula above.
*May 24, 2014*

**physical**

Horizontal range = v²sin2θ/g => solve for v(initial). Kinetic energy after launch = (1/2)mv² Elastic potential energy before launch =(1/2)kx² Equate potential energies before and after launch to find k, the elastic constant of the mechanism.
*May 24, 2014*

**Math - SHM**

Given T seconds =k √L (cm) where k is an arbitrary constant to be determined. Also given 0.63=k√9 Therefore we can determine the constant k. k=0.63/√9=0.21 The relation now reads: T(L)=0.21√L where T is period in seconds and L is length of pendulum in ...
*May 24, 2014*

**Algebra**

Assuming the distance is x miles. Then with tail wind, ground speed=240+40=280 mph against wind, ground speed = 240-40=200 Total time x/280 + x/240 = 6 Solve for x to get the maximum one-way distance.
*May 24, 2014*

**physics**

y-component of any force equals ysin(θ) where θ is the (counterclockwise) angle with the +x-axis. So the y-component of the resultant =ΣFsin(θ) =8sin(30)+8sin(120) =?
*May 24, 2014*

**Consider the graph with V = [A, B, C, X, Y, Z] and**

V is a set of vertices. E is a set of edges (lines joining the vertices) (a) Two distinct vertices are adjacent when there is an edge joining the two. So to list vertices adjacent to Y , we need to go through all the edges and select those that include Y as a vertex. The other...
*May 23, 2014*

**MATH HELP PLEASE!!**

Quoting: "Homework Posting Tips Please show your work. Tutors will not do your homework for you. Please show your work for any question that you are posting. ..."
*May 23, 2014*

**math**

See answer to previous post. This one would be an excellent example for practice.
*May 23, 2014*

**math**

12 gal. ÷ (7/8-1/8) =16 gal. Does not look like a huge tank!
*May 23, 2014*

**french**

"Est-ce que" is a standard phrase to introduce a question without inversion of subject and verb. Similar to "Is it that..."
*May 23, 2014*

**french**

Tu: personal pronoun, second person singular. Fais - second person singular for "do".
*May 23, 2014*

**math**

Domain means a set containing all possible values of the first value of the selected ordered pairs. Can you identify which ordered pairs she chose?
*May 23, 2014*

**maths**

1 rod = 5 1/2 yards = 3*(5 1/2) feet = 33/2 feet So one foot =1/(33/2) rod = 2/33 rod
*May 23, 2014*

**algebra**

P(a)=12.21=14.7*e-0.21a Solve for a: e-0.21a=12.21/14.7 Take log on both sides, log(e(x))=x -0.21a=log(12.21/14.7) a=log(12.21/14.7)/(-0.21) =?
*May 23, 2014*

**Math**

20C4 where nCr=n!/((n-r)!r!)
*May 23, 2014*

**Math**

Do you have a figure to go with it?
*May 23, 2014*

**Maths A level**

Cross sectional area =π(40²) =1600π change in height per unit time =dh/dt =(rate change in volume/cross sectional area) =-32πh^(0.5)/1600π =-0.02h^(0.5) The sign is negative because h decreases with time.
*May 23, 2014*

**Math**

W=wind speed A=air speed Equation are set up using Speed*Time = distance, or Distance/Speed = Time 2800/(A-W)=4 2/3 ...(1) 2800/(A+W)=4 ...(2) Solve system of equations for A and W.
*May 23, 2014*

**Probability**

P(being female | the person earns over $75,000) =P(F∩O)/P(O) =(585/1200)/(1070/1200) =585/1070 P(F)=650/1200 =>P(F∩O)/P(O) ≠ P(F), i.e. P(F∩O) ≠ P(F)*P(O) therefore they are not independent.
*May 22, 2014*

**physics**

G=6.67384 × 10-11 m3 kg-1 s-2 M=4.56*10^24 kg r=7.09*10^6 m Using Newton's law of gravitation, g=Force/1 kg mass =GM/r² m/s²
*May 22, 2014*

**Math**

You're welcome!
*May 22, 2014*

**Math**

An equation is not a function, but a function can be part of an equation. For example, f(x)=0 is an equation, while f(x) is a function. A function is like a black box that churns out values when given an input value or input values.
*May 22, 2014*

**physics**

velocity, acceleration (both are vectors)
*May 22, 2014*

**math**

Difference in interest rate =3.75%-3.5% =0.25% Difference in $ = $50 Use direct proportion 0.25% : 50$ 100% : ?
*May 22, 2014*

**Algebra 2**

focus(6,0), directrix x=-3 means If the distances are equal, then the squares of the distances from directrix and focus are also equal, so (x-(-3))²=(x-6)^2+(y-0)^2 (x+3)²-(x-6)²=y² Factor by difference of two squares 18(x-1.5)=y² (x-1.5)=y²/(4*4....
*May 22, 2014*

**Math**

All of these can produce a congruent figure, depending on the parameters. Rotations and translations ALWAYS produce a congruent figure. Reflection produces a congruent figure if the object has at least one line of symmetry. Images of dilations are mostly not congruent with the...
*May 22, 2014*

**Math**

B) divides AB in the ratio 1:5, but not 5:1. look for a choice which is 5/6 from point B instead.
*May 22, 2014*

**Statistics**

What do you think?
*May 22, 2014*

**Algebra 1**

Do not forget implicit parentheses of fractions, meaning that the expression should have been written (4x²-4x)/8x which equals 4x(x-1)/8x =(x-1)/2
*May 22, 2014*

**Data Management**

Probability of getting the right answer for 1 question = 1 choice out of 5, or p=1/5. Assuming independence among the 10 questions, probability of getting all 10 right = p10 Probability of passing (getting 6 or more right out of 10) using binomial probabilities =10C6*p^6q^4 + ...
*May 22, 2014*

**chem**

When pressure is constant: P1/T1 = P2/T2 Temperature should be in °K.
*May 22, 2014*

**chemistry - which equation?**

Balance which equation?
*May 22, 2014*

**math(urgent)**

This is a different problem from the one you posted earlier. x+y = (x-y)+25 Solve for y=12.5 and x can be any number. Thus x/y can be any number (infinite number of solutions)
*May 22, 2014*

**Calculus**

Assume 2x/((x-2)(x+2)) = A/(x-2)+B(x+2) Right hand side =(A(x+2)+B(x-2))/((x-2)(x+2)) =((A+B)x+(A-B))/((x-2)(x+2)) Compare denominators on both sides and equate coefficients of powers of x to get A+B=2 A-B=0 from which A=B=1 So the decomposition into partial fractions is 1/(x+...
*May 22, 2014*

**Chemistry**

-890 kJ / 1 mole ? kJ / 6.25 moles
*May 22, 2014*

**Chemistry**

Difference in solubility = 6.8-0.33 g =6.47 g/100 ml. 10 g / ? ml. (of solution)
*May 22, 2014*

**physics**

Use the component method to break down each vector into x,y components. 8km North = <0,8> 5km at 60° = <5cos60°,5sin60°> Assuming angle is in Cartesian plane (counterclockwise from east) and not bearing (clockwise from north). Add the two vectors and ...
*May 22, 2014*

**physics - erratum**

The minimum is when they are lined up and opposite to each other, and the maximum is when they are lined up and in the same direction.
*May 22, 2014*

**physics**

The resultant of two vectors A and B can have a magnitude ranging between ||A||±||B||. The minimum is when they are lined up and opposite to each other, and the minimum is when they are lined up and in the same direction. Now you can make your choice of answers.
*May 22, 2014*

**Algebra**

The cube has 6 faces, so 6 outcomes. When two different dice are thrown, there are a total of 6*6=36 outcomes. You can make a table of the 36 outcomes and find out how many of them are the same (6 out of 36). Alternatively, you can think of the red cube is thrown first with ...
*May 21, 2014*

**math**

Draw the line x=13 (which is a vertical line). Now can you decide which side of the line is the inequality satisfied, to the right, or to the left of the line?
*May 21, 2014*

**Business Math**

Use proportions: 248.24 : 50% x : 100% x=(100/50)*248.24=?
*May 21, 2014*

**Science**

Can you first check out where pharynx is located?
*May 21, 2014*

**math**

Tax rates and rules are different for different countries, and states/provinces. In most countries, tax rates depend on income level, so adds another parameter. To answer the after-tax part, you need to specify the tax rates.
*May 21, 2014*

**math/financial planning**

Earnings=20000*7.5% 30% marginal tax bracket means he pays 30% of his investment earnings in taxes. Tax=earnings * 0.30
*May 21, 2014*

**Algebra/Permutation**

nPr=n!/(n-r)! 4Pr=4!/(4-r)!=24/(4-r)! unless you know the value of r, this is the furthest we can go.
*May 21, 2014*

**math**

Between 0° and 90° - I 90°-180° - II 180°-270° - III 270°-360° - IV
*May 21, 2014*

**Math**

You can add a table between the other two, and the third table can sit only two more.
*May 21, 2014*

**Physics**

Energy/work in joules.
*May 21, 2014*

**Physics**

Work done (energy required) = mgh m=50 kg g=9.8 m/s² h=difference in elevation in metres.
*May 21, 2014*

**physics**

Given 4 resistances, and we need to sort out which one is which. Assume that the resistances are non-zero. We know that two resistances in parallel is always smaller than any of the two. Similarly, two resistances in series is always greater than any of the two. So the two ...
*May 21, 2014*

**physics**

sec(θ) = 1/cos(θ) so the given formula gives: distance = 120/cos(θ). You can use your calculator to find the distance and make your choice accordingly.
*May 21, 2014*

**MATH**

:)
*May 21, 2014*

**math**

The equation is written in the form x=a(y-h)^2+k where a=2, h=1, k=3 so the vertex is at (k,h)=(3,1) The axis of symmetry is at y=h, or y=1.
*May 21, 2014*

**Algebra**

Circle centred at origin: x²+y²=r² where r=radius. Here radius = √((√5)²+0²)=√5
*May 21, 2014*

**Geometry - need more information**

In a 30-60-90 triangle, the shortest side is half the longest side, because sin(30°)=1/2. We do not know what a,b and c stand for, namely which one is hypotenuse.
*May 21, 2014*

**physics**

To solve this problem, you would draw a diagram of the rod. Then indicate the pivot and the first load. Find the distance d1 between the first load P1 and the pivot: this is the lever arm for the first load. To balance, then load P2 multiplied by d2 must equal P1*d1. Since d1=...
*May 21, 2014*

**chem**

almost... vapour density is relative to H2. So M~2*vapour density=78.
*May 21, 2014*

**Math**

The best way to improve is to practise. Discuss with his teacher for options.
*May 20, 2014*

**Chemistry**

As Damon said, check the units. If you divide, the units do not give joules.
*May 20, 2014*

**Chemistry**

m=200 g c=0.897 J/g°C ΔT=10°C Calculate heat required, ΔQ using ΔQ=mcΔT
*May 20, 2014*

**Chemistry**

Would you like to show your work?
*May 20, 2014*

**Chemistry**

3H2+N2--> 2NH3+2709J Molecular mass of H2=2*1.008=2.016 According to the equation: 3*2.016 g H2 => 2709 J x g H2 => 5000 J Use proportion.
*May 20, 2014*

**math**

I hope it's not a trick question. Between the two dates, there are indeed 27 Tuesdays, so there are 27*8=216 person-days needed. Since 10 does not divide 216, they may not equally divide unless the days are split into shifts.
*May 20, 2014*

**"as shown below..."**

Please proofread your question. Does your question use proper grammar, capitalization and spelling, and contain all necessary information?
*May 20, 2014*

**algebra-permutations**

nPr=n!/((n-r)!) 6P0=6!/(6-0)!=1
*May 20, 2014*

**Math**

You would plot time (months) along the x-axis, and the weight along the y-axis. Positive slope means the y-values increase with increase in x-values, and negative slope means the y-values decrease as x increases. Since losing weight means weight decreases with time, you have a...
*May 20, 2014*

**Calculus**

All limit problems are different. If only the limit is known without knowing the question, we don't know the answer. Please post the complete question in order and answer can be formulated.
*May 20, 2014*

**math**

There is a good chance you have missed out parentheses in the numerator and the denominator. All fractions have implicit (i.e. understood) parentheses in the numerator and denominator. I believe your question means (x²+6x+9)/(5x+15) even though the question does not ...
*May 20, 2014*

**Math**

Assuming you want the difference in days between dates. It's a messy counting problem. First note that the dates are written in MM/DD/YYYY format. Difference in Months: October-May=31+30+31+31+30=153 days Difference in days 28-17=11 days Difference in years 2002-1987=15 ...
*May 20, 2014*

**Proofreading required.**

Please proofread your question. Does your question use proper grammar, capitalization and spelling?
*May 20, 2014*