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Posts by MathMate

Total # Posts: 12,086

Chemistry
It's correct! Would you care to explain your reasoning?

Chemistry
A necessary condition for a chemical change is that the material final material is different from the original material. For example, burning carbon in air gives carbon dioxide. Material before change: carbon product: carbon dioxide. Since carbon is chemically different from ...

physic
246.25°C is close to the answer, but for the wrong reasons. E=MC(T2-T1) E=115800 J T2=unknown T1=100 °C C=386 J/(kg-°K) Solve for T2. Note: (T2-T1) should be both in °K, but since it is a difference, it is acceptable to have them both in °C.

Math
Since no boric acid has been lost in dilution, we can use the standard equation: C1V1=C2V2 where C1=0.69, V1=1000 mL C2=0.50 Solve for V2. Note: The amount of water to be added is V2-V1.

Technology
I assume you have the two pistons linked by a hydraulic liquid, in which case the hydraulic pressures are equal in both pistons. Force/area=pressure, so F1/A1=F2/A2 Here, A1=2 m² A2=4 m² F2=20 N so F1=(F2/A2)*A1 =20/4*2 N =10 N The ratio (A2/A1) is called the ...

Maths (probability)
Multiplication rule: (10/10)*(9/10)*(8/10)=10*9/8/1000

Chemistry - to DrBob
Thank you for pointing out the oversight, and the delicate case difference!

Chemistry
Since no NaCl was lost, we can use C1V1=C2V2 C1=0.8 M V1=750 mL V2=(750-275)=475 mL So C2=C1V1/V2 =0.8*750/475 =1.26 mL Note: I provide an extra significant figure when the first digit is "1". Your teacher may or may not recommend this.

Calculus
Part A: There are different ways to do this part, but your answer is correct. Hope you used the simplest way. Part B: Again, you answer is correct. Using integration term by term is also correct. Part C: "correct to 3 decimal places" generally means that the sum of ...

Math
Percentage increase = (new price-old price)/old price. Here, new price is $9.68, old price is $9.57. Pull out your calculator to work it out. Post your answer for checking if you're not sure.

Math calculus - Question not clear
Donald, we do not see your original question, and we do not know what subject you're on. It is best to supply sufficient information for others to help you. Advice: Read what you are about to post, BEFORE and AFTER the post, to make sure all necessary information has been ...

sicence
Work done = increase in potential energy = mgh. Take out your calculator and find the work done mg=500 N (newton is in force units) h=1.8m Resulting work done is in joules.

Maths
This kind of question is best tackled with explorative tools such as Desmos. Go to https://www.desmos.com/calculator then type in 1/(x+3) [enter] 1/(x+3)^2 [enter] You will see the effect of squaring (blue curve) on the original (red curve). Experiment with other functions and...

Math
Review of binomial expansion: http://www.purplemath.com/modules/binomial.htm (a+b)^n =a^n+na^(n-1)b+(n(n-1)/2)a^(n-2)b²+...+nab^(n-1)+b^n =C(n,0)a^n+C(n,1)a^(n-1)b+C(n-2)a^(n-2)b^sup2;.....C(n,n)b^n For n=1 (a+b)1=a+b (a+b)2=a²+2ab+b^sup2; (a+b)3=a³+3a^sup2;b+...

Math - vectors
Velocities are vectors, so they can be added and subtracted similar to displacements in the previous problem. What is important is that to draw the triangle of velocities is to join the head of the first vector to the tail of the next vector. The resultant is the vector ...

Math
Here's one example, along the same lines: A man walk 7km in the direction 270 degrees and then for 9km in the direction 030 degrees. Compass directions are clockwise from the north, so 270° compass = 90-270=-180 in the Cartesian plane. Similarly, 030° compass = 90-...

Math
Step 1:Identify target unknowns. Identify them as variables. Recall that variables do not have to be X and Y. They could be initials to the target unknowns, such as C for carrots, and P for potatoes. Here we have G=number of general admissions sold S=number of student tickets ...

Math
Scott has already given you the rule which is an=1-4n. To check the rule, put n=1, an=1-4=-3 (works) put n=2, an=1-4(2)=-7 (works) To check a8, you can either use the given rule, or you can numerate the terms (8 is not too bad!) -3, -7, -11, -15.....

Calculus
is the expression to be summed really |sin(4n/π)+3|/4^n, or is it |sin(4nπ)+3|/4^n?

science
Total Distance = sum of distances in each direction (south, then east). Displacement = distance between end point and starting point, irrespective of path. (hint: use Pythagoras theorem, since the two legs are perpendicular to each other).

Math
y-6≥12 Add 6 to both sides, y-6+6≥12+6 y≥18 Would be the solution. Following link would be good reading and gives more examples. https://www.mathsisfun.com/algebra/inequality-solving.html

Algebra 1b
Sorry, above reply is meant to be for Anonymous, not Emma.

Math
haha, on second thought, the 29 should be the denominator of t, as in my first post. It modifies the half-life of the radioactive material. Sorry!

Math
DrBob222, yes, you're right. The problem should read as is, A(t)=(1/29)(1/2)^t with t in years. I got carried away!

Math
First, if you mean A(t)=A0(1/2)^(t/29) the parentheses are mandatory because of the PEMDAS rule. After 20 years, t=20 so A(20)=(1/2)^(20/29) pull out your calculator and find the correct answer. Do not forget the parentheses this time. Post your answer for checking if you have...

Math - to Boi : please review text for completeness
The question contains non-latin or accented letters, and perhaps incomplete. Please correct and resubmit your question.

math - please review question
When posting a question, do not just copy and paste without reading the post before and after. Major reformatting could occur, and has occurred in this case. Please separate the stems and leaves from each other, For example, leaves 1: (4,6,7,9),(2,4),(1,3) stem : 1,2,3 leaves ...

math
18-15=3 13+4=17 6-4=2 Yes, your answer is correct.

math
Can you check your expression, please. I am not sure if there is a typo in the second term.

Chemistry
Step 1:Write the chemical equation of the oxidation: CH4+2O2=CO2+2H2O This means that 1 mole of CH4 or 2 moles of O2 will give 1 mole of CO2 Step 2: find limiting reagent CH4: 6/(12+4*1)=6/16=0.4375 mol O2: 5/(2*16)=5/32=0.15625 mol Compare with the equation in step 1, it is ...

MATH
Experimental probability is what we infer from an experiment. For example: if we toss a fair coin 100 times, head comes out 44 times. We say that head came out 44 times out of 100 (in this trial), and the experimental probability of head, P(head)=44/100=0.44. We can also say ...

visual basic
There are many steps in writing a program. You need to specify in which area you need help with, pseudocode, debugging, logic, or whatever. We are not going to post a turn-key program for you because you will not have learned anything. Learning to programme is 50% ...

physical science
A. Ethanol "dissolves" in water. In fact, it is miscible, i.e. can be mixed with water in any proportion. This property is often interpreted as "infinitely soluble". B. Iodine is only slightly soluble in water (1:3450).

college algebra
The intuitive solution is by ratio assuming the population can be extrapolated by the sample, thus population =(600*(800/10)=48000.

Algebra 2
Let x1=number of 1-point shots x2=number of 2-point shots x3=number of 3point shots "Josh scored 39 points in a game" => 3x3+2x2+x1=39.........(1) "the same number of 2-point shots as [3-point and free throws combined]" x2=x3+x1 .............(2) "...

Physics 11
The best way to clear up your question is to post the assignment question, and tell us your interpretation or your doubts.

Optics
The thickness of the lens is not given, so assume it is a thin lens. Using the thin-lens approximation of the lens-maker's formula, P=1/f=(n-1)(1/R1-1/R2) where n=refractive index of lens material in air R1, R2 are radii of curvature of lens surfaces, using the convention ...

Mathematics
Say each watch sells for $100. then selling 20 watches gives a revenue of $2000, out of which $400 was profit. So cost was $1600, profit was $400. Profit percentage =profit/cost =400/1600 =0.25 =25%

Biology
Google and Wiki are good friends when we need word definitions or meanings. cephalization is defined as: the concentration of sense organs, nervous control, etc., at the anterior end of the body, forming a head and brain, both during evolution and in the course of an embryo&#...

Biology
Homeostasis is maintaining balance of body functions, such as body temperature, fluid balance, electrolyte balance, etc. Can you find one of the 4 choices that does not serve the purpose of maintaining day-to-day equilibrium of body functions?

stats help
Expectation E(x) is the sum of the products of the revenue/gain multiplied by the probability of the outcome. Here we have three possible outcomes. 1. 5¤ at 10%, product=0.1*5¤=0.5¤ 2. 100¤ at 1%, product=0.01*100¤ =1¤ 3. nothing at 89...

Math
Try to sketch the equations on paper and send us a link to the image, or graph it on twiddla.com and send us the link (we just need the last characters after the last slash, like kssb6j) We'll help you figure it out. But please, post the equations, either here or in twiddla.

Math (Calculus II) (Partial Fraction Decomposition
The equality should read: x/(x^4-a^4)=B/(x+a) + C/(x-a) + Dx+E/(x^2+a^2) The following step is correct. The next step is to expand the right hand side and compare coefficients, so as to set up a system of equations to solve for B,C,D and E. For example, if you assemble the ...

to xx
Don't know you're under xx or "help! pls", but this question cannot have an answer of 0.75 because it deals with experimental probability, which bases it on the outcomes of the experiment. However, the theoretical probability, which is the mathematical answer...

Math
Experimental probability means you go with the number of success in the experiment divided by the total number of trials. Here success is defined as at least one of the coins landed on heads, i.e. includes HH, HT, TH. Count the total number of the above outcomes and divide by ...

Physics
Your answers are basically correct, but expressed using unconventional symbols. λ usually represents the wavelength (v=velocity of sound in air). So for the first harmonic, and L=length of open tube of unknown diameter, then λ=2L/1=2*1.5m=3m Frequency, f (in Hz) ...

math
#1 Question looks incomplete, not sure what "polygon..." stands for what. Please complete question. However, all regular polygons have rotational symmetry. #2 Translation is just one way to tessellate. There are three other ways, reflection, rotation, and glide ...

PHYSICS2, help!
Read up examples in http://spiff.rit.edu/classes/phys211/lectures/rotke/rotke_all.html one of which is similar to this one. After this, you can attempt the previous problem you posted, together with your previous knowledge of kinematics and energy principles.

economics
Most supply and demand curves assume perfect competition. An increase in Q (quantity, horizontal axis) means there is a bigger demand (in a competitive market), so price goes up. On the other hand, when there is low demand for the commodity (Q goes to the left), suppliers tend...

Biology
Our body is made up of about 35 trillion cells, each of which requires maintenance, hence supply of oxygen. Since the size of cells do not generally vary from person to person, we can reasonably assume that the number of cells vary almost linearly with body weight. We can also...

Biology
Consider which of the following has a better efficiency in extracting oxygen? 1. larger/smaller surface area 2. more/less lamellae 3. thicker/thinner lamellae

Biology
To be efficient, a fish applies the counter-current principle, i.e. the most oxygen-poor blood will extract the remaining oxygen from the most "stale" part of the water stream. Does that tell you which is the direction of blood flow?

Biology
Air has a small mass & viscosity and contains 20% oxygen, while water has a much higher mass & viscosity and contains less oxygen (~5%). What do these considerations alone tell you? If you wish, further reading & discussion can be found here: http://www.lookd.com/fish/...

Science#2
Oceans actually supply moisture to air, provided the water temperature is warm. Currents generally transport heat OR absorb heat in large quantities. Read up about El Nino and Arctic currents, for example: http://www.lookd.com/fish/respiration.html http://www.windows2universe....

math
Let x=east, y=north, then the location of the ship after two hours is (-20, -55) Since it has constant course and speed, after one hour, it is at (-10,-27.5) The course is tan-1(-10/(-27.5)) west of south, and the speed is the distance travelled, using Pythatorean theorem, s=...

Maths
Let L: y=mx+c C: (x-a)²+(y-b)²=r² And if L is tangent to C, then we can solve for the intersections of the line L with circle by substituting "y" in the circle with mx+c, thus C: (x-a)²+(mx+c-b)²=r² Expand and solve for quadratic in x to...

discrete math - To Akash
I hope you realize that 3 of the four questions that you posted have been answered before you made these reposts.

math
So what are your choices?

discrete math
* least

discrete math
Assuming question asks (b) The length is 8. Number of 1s is at lease 3 more than number of 0s. (c) The length is 9. Number of 1s is at lease 3 more than number of 0s. For length n, let n0=number of zero bits n1=number of one bits and n0+n1=n (b) For case n=8 situations where ...

discrete math
*course

discrete math
I assume you have learned about the ball-and-bin problem in your calls. It may have been called the star-and-bar problem, which is easier to visualize mathematically. Try to read over your notes and post your answer for a check if you wish. If you still have difficulties, feel...

Math
(10,6) means x=10, y=6. To check if (10,6) is a solution to y=x-4, substitute into the equation values of x and y, i.e. y=6 (left hand side) x-4=10-4=6 Since left equals right hand side, (10,6) is a solution of y=x-4. Go through each of the answer choices to choose the correct...

Math
Mark-up percentage equals (selling price-cost price)/(cost price). For example, if I buy a case of oranges for $25 and sell it for $30, the mark-up is ($35-30)=$5 and the percentage mark-up is $5/$25=20%.

Vector Calculus
In your previous post, you have been asked what R3 stands for, and you have not clarified. We do not know yet if 3 is a superscript, a subscript, or just a number written in the wrong place. Yes, ? equals a vector < -sinφ, cosφ, 0 >. Also, are R,φ and z ...

what happen i need an answer
Another way to find out where you got stuck is to formulate your question in multiple posts. This way you can zoom in to where the problem lies. Or replace vectors <i,j,k> with (i,j,k), etc. but state that (i,j,k) is a vector.

Dynamics
Only the vertical component counts for the time for descent. Assuming no air resistance, we have from kinematics, S=ut+(1/2)at^2 where S=distance = 6400 ft u=initial velocity (=0 ft/s vertical in this case) a=acceleration due to gravity, g=32.2 ft/s² Substitute values, ...

physics
Use kinematics equation: v1²-v0²=2aS v1=final velocity (0 m/s) v0=initial velocity (20 m/s) S=distance travelled (100 m) solve for a=acceleration (negative because it's a deceleration) Use Newton's second law F=ma m=mass F=average (uniform) force over the ...

Chemistry
First the chemical equation, combustion of a hydrocarbon yields CO2 and H2O most of the time. 2C2H2(g)+5O2(g) ? 4CO2(g) + 2H2O(g) We see that 2L of C2H2 produces 4L of CO2 and 2L of H2O. However, when cooled to STP, H2O condenses to water (l.)

frenche
Please send an example of what you would like to do, then in addition to helping you with the example, we will have an idea where your difficulty is. Dictionaries is one way to help, and verb conjugators (such as the Bescherelle) would help with verb forms.

math
Let r=radius of pizza. Each sector has a radius of 2 times radius plus 1/8 of the circumference, or 10"=2r+(2πr)/8 Solve for r. Then calculate πr²=area of whole pizza.

Chemistry
If the temperature remains constant, then Boyles law applies: PV=constant Here P1=745 mmHg V1=65 L P2=745(1-0.3)=521.5 V2=? P1V1=P2V2 745*65=521.5*V2 Solve for V2.

bearings
As in all geometry problems, a detailed sketch will help you understand, and often solve, the problem. Define P as the origin of the Cartesian plane. Knowing that mPQ=40 km, then coordinates of Q are given by Q=P+40<cos(41),sin(41)> =Q(30.188,26.242) Similarly, R is ...

Math
Kite ABCD with AD=AB means AC is the line of symmetry, => ∠B=∠D. => 2x=(5x-147) Solve for x, and hence determine angles B & D. Using ∠A+∠B+∠C+∠D=360° Find ∠C and hence the smallest angle of the four.

math
See reply to your other question: http://www.jiskha.com/display.cgi?id=1484320142

math
A proportional relationship is represented by y=mx where m is a constant. If there is a y-intercept, it would be y=mx+b in which case the relationship is no longer proportional. For example, y=x+4 x y 1 5 2 6 3 7 is not proportional, because 1/5≠2/6≠3/7... Example of a ...

algebra
I believe the first equation has a typo due to missing parentheses because as is, it is already a quadratic equation. I think you mean 0.2=x^2/(55-x) Remember to insert parentheses in all numerators and denominators. To convert the equation to a quadratic, multiply both sides ...

math check please
Please show your work to find where your calculations went wrong (if applicable).

Calculus
Explicit form involves y on the left side, and no variable y on the right side, e.g. y=x^2, or y=sqrt(x)+2x Implicit form would have mixed x and y on either side, or both. Example: xy+ysup3;=3x²y

science
vegetative propagation is the propagation of a species by making simple copies of itself, sometimes through a stem, sometimes through the roots, or leaves, or bulbs. Advantage is that the plant does not need another plant nearby to reproduce (like in pears). However, since ...

Computing
Area of triangle can be calculated as follows: Area=(1/2) base * height or using Hero's formula, Area=sqrt(s(s-a)(s-b)(s-c)) where a,b,c are lengths of the three sides s=(a+b+c)/2

math;););)
Yesit'scertainlyweird,butthequestionisquiteinteresting! Let C=(2,1) [centre of rotation] P=(4,6) [point to be rotated] t=π/12 [15°, angle of rotation] The first part of the problem is solved as follows: Rotated point, P', is obtained by 1. translating the point ...

math
Math is intriguing because there are many ways to solve the same problem. Here's another way by minimizing the distance between the line and the point. 1. find the parametric form of the line AB, which is relatively easy because the line passes through the origin, so the ...

Chemistry
I don't know if you researched for answers, or if you researched for data. Whenever there are two cations and a single (or multiple) anions are in the same aqueous solution, we should first check if any of the combinations of cations and anions might be insoluble and hence...

Calculus
Use the product rule, d(sin(x)cos(x))/dx =cos(x)dsin(x)/dx+sin(x)dcos(x)/dx =cos²(x)-sin²(x) Next use sin²(x)+cos²(x)=1 to transform the above result to one of the provided answers. Note: an easier way to derive the given expression is to make use of the ...

algebra
What was posted does not represent an equation. Please check before posting. If I assume the second / is an equal sign, then the equation reads: (v^2 + 6v+8)/(v^2 + v - 12) = (v+2)/(2v-6) To solve this equation, we start by factoring the quadratic expression into: (v²+6v+...

Algebra 2 (to Jazzy)
Good, then you know what to change.

Math
Let the longest piece be 9x. Then we equate total length 294=2x+3x+9x=14x solve for x and hence calculate the longest piece equal to 9x.

Physical Science
It's normal that your book does not have the answers. However, it's time to review the topics "refraction" and "diffraction" with the help of your book.

Mathematics
Agree with your answer. Correlation coefficient of 0.793 is positive, but not strong. Follow following link to get a visual interpretation. https://www.mathsisfun.com/data/correlation.html

physics
The following link explains the solution to a similar problem and helps you get familiar with the standard formulas used in kinematics. http://www.jiskha.com/display.cgi?id=1426656652

Science
Here's an article that explains how MRSA's resistance to antibiotics has evolved, touching on horizontal and vertical evolution. http://evolution.berkeley.edu/evolibrary/news/080401_mrsa

physics
See answer to a similar problem: http://www.jiskha.com/display.cgi?id=1383603887

physics
See solution to a similar problem: http://www.jiskha.com/display.cgi?id=1321918140

Calculus
Use the power rule: https://www.mathsisfun.com/calculus/derivatives-rules.html

Math
f(x)=x^sup2;-5 Use the power rule to find f'(x) => f'(x)=2x at point P(2,-1), x=2 therefore f'(x)=f'(2)=2*2=4 Slope of the tangent equals the derivative of the function at the point in question.

Physics
If it means to boil dry the water in the tank, then it takes 540x calories to boil it dry, compared with 80x to raise the water to 100°C. However, question says: "will make the water boil and keep it at that state" and does not say the tank must be boiled dry!

Physics
The first option: 1 calorie raises the temperature of one gram of water by 1°C. So 80 cal raises the temperature of 1 g of water by 80 degrees. (80°=100°-20°) So it takes 80x cal.to raise the temperature of water to the boiling, where x is the mass of water in ...

physics
Use ΣmCΔT=0 Let m1=mass of ice required. m2=mass of water to be cooled = 200 g T11=-14 T12=10 T21=25 T22=10 Specific heat of water = 1 cal/g/°C Lf=latent heat of fusion of ice = 80 cal/g Heat lost by water: mCΔT =200*1*(25-10) =3000 cal. Heat gained by ...

Physics
Absolute pressure is the pressure on a surface including atmospheric pressure. Gauge pressure is the additional pressure acting on a surface over and above atmospheric pressure. At the ocean depth of 1000 m, gauge pressure is the pressure exerted by the weight of water above ...

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