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March 23, 2017

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Posts by MathMate

Total # Posts: 11,744

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...
January 19, 2017

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%.
January 19, 2017

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 ...
January 16, 2017

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.
January 16, 2017

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, ...
January 15, 2017

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 ...
January 15, 2017

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.)
January 14, 2017

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.
January 14, 2017

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.
January 13, 2017

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.
January 13, 2017

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 ...
January 13, 2017

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.
January 13, 2017

math
See reply to your other question: http://www.jiskha.com/display.cgi?id=1484320142
January 13, 2017

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 ...
January 13, 2017

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 ...
January 13, 2017

math check please
Please show your work to find where your calculations went wrong (if applicable).
January 13, 2017

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
January 13, 2017

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 ...
January 13, 2017

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
January 13, 2017

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 ...
January 12, 2017

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 ...
January 12, 2017

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...
January 12, 2017

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 ...
January 12, 2017

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+...
January 12, 2017

Algebra 2 (to Jazzy)
Good, then you know what to change.
January 12, 2017

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.
January 12, 2017

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.
January 12, 2017

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
January 12, 2017

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
January 12, 2017

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
January 12, 2017

physics
See answer to a similar problem: http://www.jiskha.com/display.cgi?id=1383603887
January 12, 2017

physics
See solution to a similar problem: http://www.jiskha.com/display.cgi?id=1321918140
January 12, 2017

Calculus
Use the power rule: https://www.mathsisfun.com/calculus/derivatives-rules.html
January 12, 2017

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.
January 12, 2017

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!
January 12, 2017

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 ...
January 12, 2017

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 ...
January 12, 2017

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 ...
January 12, 2017

physics
Let s=specific gravity of mercury=13.6 K=point at lower end of water column h=height of mercury above K in the other column then equate pressure at K on both arms: 13.6*1.00 = h*13.6 solving, h=1.00 cm This means that the mercury level was at 1.00/2=0.50 above K before adding ...
January 12, 2017

physics (to Cameron/Tyler)
Among the 9 physics questions you have posted within the last 24 hours, you have not shown any effort on your part. Is it because you have absolutely no idea about the subject, or is it because you'd like someone else to do the work for you? If it is the former, I suggest ...
January 11, 2017

physics
Assuming no loss in the impact(s), then, let M=mass of Juggles and equate gravitational potential energy (g=acceleration due to gravity) 75kg*g*2.5=M*3.7*g Solve for M.
January 11, 2017

PLEASE HELP BEEN STUCK ALL DAY CALCULUS
If we apply linear approximation using calculus, then: V=πr^2h dV/dr=2πrh ΔV≈2πrhΔr =2π(4)(12)(+0.2-(-0.2)) =2π(4)(12)(0.4) =38.4π
January 11, 2017

Physics
Newton is kg-m/s² Since both sides of the equal sign must have the same units, we conclude: a * m = kg-m/s² and B *kg/m = kg-m/s² Find the units of a and B by solving the two given equations.
January 11, 2017

Physics
Ignoring dissipative losses (air resistance, friction, etc.), difference of kinetic energy equals work done, => (1/2)m(28.3^2-23.3^2)=226000 j Solve for m.
January 11, 2017

Maths
There is at least one great circle that passes through any two non-coincident points lying on a sphere. If the two points are diametrically located, there is an infinite number of great circles that pass through the two points. The proof is relatively simple. The two points ...
January 11, 2017

Maths
Assuming the earth is a perfect sphere, and with a radius of 6400 km, there are exactly two parallels with a radius of 2500 km, located at approximately cos-1(2500/6400) =67° N or S.
January 11, 2017

Maths
See response to related/similar problem. http://www.jiskha.com/display.cgi?id=1454498132
January 11, 2017

math
The reflex angle of a given angle is the larger between the angle itself, and the angle formed by 360 minus the angle. For example, the reflex angle of 150° is 360-150=210°. Since angle pqr=1 1/2 right angles = 135°. Calculate the reflex angle of 135° by ...
January 11, 2017

math
We started with k tags. after students, we have k-k/2=k/2 left. after parents, we have k/2-100 left after teachers, we have (k/2-100)(1-3/5) left You can simplify the last expression to present the final answer.
January 10, 2017

Statistics
Use Z=(X-μ)/σ where Z=z-score X=variable value μ=mean σ=standard deviation Assuming normal distribution, the left-tail normal distribution table gives the probability of the z-score (or less). Example, part (a): If N=300 and random sampling, we can assume ...
January 10, 2017

Math
Draw a Venn diagram with three overlapping circles A, B and C. Hint: start with the area A∩B∩C (in the middle) and work outwards. When completed, it will be a snap to answer the given questions.
January 10, 2017

math
(a) N = 11 choose 2 (=11C2) (c) 11 choose 2 less 7 choose 2, i.e. N minus number of ways of choosing two men.
January 10, 2017

Math
If there are 14 people, there are 14C2 ways to choose the 2 alternatives. If there are 15 people, there are 15C14 ways to choose the 14 people. So the number of ways of choosing 12 jurors and 2 alternatives is 15C14*14C2
January 10, 2017

Math
We know that time=distance / speed In this case, time = total distance / total speed =1029 miles / (45+53) mph = ? hours
January 10, 2017

Chemistry
Use the ratio of atomic mass to the molecular mass. For example, to find the number of grams of Na in 20 g of NaOH atomic mass of Na = 23 molecular mass of NaOH=23+16+1=40 mass of Na in 20 g of NaOH =20g*(23/40)=11.5g
January 10, 2017

EmberShy
Yes, because (-6.8)² =(-1)²(6.8)² =(1)(46.24) =46.24 Be aware of usage of parentheses, for example: (-2)² =(-1²)(2²) =(1)(4) =4 BUT -2² =-(2²) =-(4) =-4
January 10, 2017

Math 12
The standard equation for depreciation is FV=PV(1-i)n where FV=future value PV=present value i=depreciation rate per annum, in decimals n=number of years Example: Find the value of a car after 10 years if it was purchased for 50000 and depreciated at 20% per year. PV=50000 i=0...
January 10, 2017

Geology and soils
Void ratio, e, is the volume of voids, Vv, divided by the soil volume Vs. Total mass, M=37.82-16.15=21.67 Mass of solids, Ms=34.68-16.15=18.53 Gs=S.G. of soil particles = 2.7 => Vol of soil, Vs=Ms/Gs=18.53/2.7=6.863 mL air-void content, ac=0 => all voids are filled with ...
January 10, 2017

Chemistry
The first three questions may be solved using the relation: molarity (mols) = number of moles / volume (L) where number of moles = mass (g) / molar mass (g). Example: 10.0 g of NaCl is dissolved to make 0.523 L of solution. Find molarity of the NaCl solution. number of moles...
January 10, 2017

math
Regular price = 4 shirts at sale price 2*regular price = how many shirts at sale price ?
January 9, 2017

Science, Chemistry
First write the neutralization equation: NaOH+HNO3 -> NaNO3+H2O so C1V1=C2V2 2.0M*0.25L=XM*1.050L Solve for X and compare with 0.48. Pay careful attention to significant figures.
January 9, 2017

Physics
Convert initial velocities to m/s 60 km/h=60*1000/3600 m/s=16.67 m/s 180 km/h = 50 m/s Use kinematic equation: v^2-u^2=2aS where u=initial velocity v=final velocity a=acceleration (deceleration is negative) S=distance travelled before stopping
January 9, 2017

algebra
The minimum of a parabola is the y-value of the vertex. See previous response.
January 9, 2017

algebra
By completing the square, y=x^2-4x-32 =(x-2)²-4-32 =(x-2)²-36 The line x-2=0 passes through the vertex, hence the vertex is (2,y(2))=(2, -36) The line of symmetry of a parabola that opens up or down is the vertical line through the vertex.
January 9, 2017

algebra
When the leading coefficient is positive, a parabola opens up. Leading coefficient is the coefficient of the term with the highest degree.
January 9, 2017

math
Answer is good up to (0.4k+0.6w) L. Since we do not know the values of k nor w, their coefficients cannot be added together. The correct answer would be (0.4k+0.6w) L.
January 9, 2017

math
Example to help you: 30% of 4L of orange juice is added to 70% of 5L of grapefruit juice, find the total volume. Volume of orange juice = 30% of 4L =0.30*4 =1.2L Volume of grapefruit juice=70% of 5L =0.7*5 =3.5L Total volume = 1.2L+3.5L=4.7L
January 9, 2017

Physics
(a) Law of conservation of momentum: m1v1+m2v2=(m1+m2)v since m2=0.1m1 m1v1+0.1m1v2=(1.1m1)v solve for v v=(m1)(v1+0.1v2)/(1.1m1) =(v1+0.1v2)/1.1 (b) Assuming no loss in total energy, and assuming v1>v2, then the shark itself (without food) has lost energy, since its ...
January 9, 2017

kelvin
In geometry, drawing a sketch from given information is half-way to the solution. Note bearing is measured clockwise from North. If you draw the sketch in Cartesian coordinates, using P at the origin, you will have P(0,0) Bearing 150°? ?=90-150=-60° in Cartesian ...
January 9, 2017

Geometry
You're welcome! :)
January 9, 2017

Geometry
By the law of segments, mCB+mBD=mCD so 4w-4 + 2w-8 = 24 Solve for w.
January 9, 2017

Math
Yes, your approach is correct, except watch for the following. (1) In principle, part (A) should be done using calculus. If you have not done calculus before, what you did is appropriate, EXCEPT that the interval for p between 4 and 2 is way too large because q(p) varies ...
January 9, 2017

chemisry
Solubility is the amount of solid that dissolves in 100g of water at the given temperature. 10.1 g dissolves in 50 g H2O at 25°C X g dissolves in 100 g H2O at 25°C Solve for X.
January 9, 2017

chemistry
Cu(II) oxide is CuO so 3CuO+2NH3 → 3Cu+N2+3H2O From 2NH3 and 3CuO, we conclude that 2 moles of NH3 reacts with 3 moles of CuO to form 1 mol of N2. Find the molar masses of NH3 and CuO and determine which is the limiting reagent. Use stoichiometric ratios to ...
January 9, 2017

physics
Kinematics equation with zero initial velocity: h=(1/2)gt^2 => time, t = √(2h/g) seconds h=49', g=32.2 ft/s² speed = distance/time = (80-3)/t ft/s =44.14 fps
January 9, 2017

Algebra (math)
horizontal lines have zero slope, so rate of change (=slope)=0. Any straight-line function has the form y=mx+b where m is the slope, and b is a constant. Compare this with the equation of function 2 to determine the slope. Since rate of change of function 1 is zero, so ...
January 4, 2017

maths
smallest number with 3 different digits: 100000...000002 assuming leading zeroes do not count. Add enough zeroes in the middle to satisfy the minimum number of digits. Example: 1,002 in the thousands 1,000,002 in the millions, etc.
January 4, 2017

Math
It depends on how many tests you have had, and what you will get for the final.
January 4, 2017

Math
Distribute and simplify: (1/3)x(15x-12y)-(1/2)(6x-4y) =x(5x-4y\)-(3x-2y) =5x²-4xy -3x +2y
January 4, 2017

Maths
A rhombus has four equal sides. One way is to prove that the two triangles on each side of a diagonal are congruent. Since the altitudes of these isosceles triangles are congruent and are the altitudes of the rhombus, the altitudes of a rhombus are congruent.
January 4, 2017

chemistry
See answer to your previous question: http://www.jiskha.com/display.cgi?id=1483510596
January 4, 2017

chemistry
Answer is in the products of the reaction. The reactants are already known. H2S (g) +Zn(NO3)2 (aq) &rarrow; ZnS (s) + 2HNO3 (aq)
January 4, 2017

maths
Each free cube has a surface area of 6(10²)=600 cm² exposed. Each cube with one face connected has 5(10²)=500 cm² exposed. Each cube with two faces connected has 4(10²)=400 cm² exposed. If n cubes are joined together, there are 2 (end) cubes with ...
January 3, 2017

math
Sorry, I don't understand what your "working" is trying to do, but in any case, 8+5≠13/2≠11.5 and so on, so some corrections on your part need to be done. Given that a:b = 8:5 and b:c= 3:4 What we need to do is to multiply each ratio appropriately so that ...
January 3, 2017

geometry
complement of angle X=90-X supplement of angle X=180-X => complement (C) =supplement (S) -90 C+S=126 C+(C+90)=126 2C=126-90 Solve for C and hence X.
January 3, 2017

math
Given R=6400 km arc=Rθ The first leg is equi-latitude at 40N with a meridian difference of θx=(38-22)=16° Distance travelled =Rθx cos(40) =6400*(16*π/180)cos(40) =1369.09 km The second leg is along a meridian with a latitude difference of θy(40-...
January 3, 2017

Math
height : shadow = 25 :15 = 40 : X? Cross multiply to get X=40*15/25=24 m
January 3, 2017

Physics 1
See related questions, for example: http://www.jiskha.com/display.cgi?id=1350232603
January 2, 2017

Chemistry HELP! CONFUSED!
First write the equation of the reaction: reactants: NaHCO3+CH3COOH products: CH3COONa+CO2+H2O From the molar masses of NaHCO3 = 23+1+12+3*16 = 84 CO2 = 12+2*16 = 44 We find the stoichiometric ratio of the two compounds to be 84:44 (approximately) Hence by proportions/ratios, ...
January 2, 2017

Statistics
Assuming probabilities work evenly for 30 times, then you would have won the $5 prize 30*0.15=4.5 times, with a total value of 4.5*5=$22.5 while paying $30 to play. So your expected winning (for one play) is 22.5/30-$1=0.75-1=-$0.25 i.e. you expect to lose 25 cents each time ...
January 2, 2017

Engineering
If you substitute any of the four answer choices into the equation: (y-2)^3=(y+2)^3 you will find that none of them is a good answer. So I suspect there is a typo for the question. The equation as shown above can be solved by assuming y=a+bi Expand both sides to give 12b^2-...
January 2, 2017

maths
Area of the (orange) right triangle =(3*4)/2 =6 units Area of the rectangular board =20*15 =300 units Assume that 1. a dart always falls within the rectangular board 2. the probability of hitting anywhere in the rectangle is equal then the probability of the dart striking the ...
January 2, 2017

chemistry
In chemistry, since there are more than 26 elements, some elements are represented by two letters of the alphabet. The first (or the only) letter of an element is ALWAYS written in capital letters to avoid confusion, since formulas of compounds are written without delimiters. ...
January 1, 2017

Math
Work from inside the parentheses, (g(f(3x))' for x=1 =(g(f(3(1)))' =(g(f(3))' =(g(2))' [from table] =g'(2) =5 [from table]
January 1, 2017

math
Assume "store one year" means 365 box-days and not "a year or part thereof". k=320000 boxes/year = 320000/365 boxes/day = 876.7 boxes/day If supplies are produced every n days, then it must produce nk boxes at each production, and storage requirements are P...
January 1, 2017

Geometry
What does [ABCD] represent? If it is the area of the kite, then we know that the area of a kite is the product of the diagonals ÷ 2. Note: You are fully expected to draw a duly labelled sketch in order to follow the following explanations. So AC*BD/2=60 AC*BD=60*2=120 ...
January 1, 2017

computer,science, java
See http://www.jiskha.com/display.cgi?id=1483264139
January 1, 2017

mathematics
For a (complete) sphere, volume=(4/3)πr³ The volume of material is the volume of whole sphere (radius r2) minus the volume of empty spherical space (radius r1). The thickness t is the difference between r1 and r2, i.e. r1+t=r2. Vm=(4/3)π(r2³-r1³) The ...
January 1, 2017

Math
Area of a rectangle = Length * width (or breadth) = L*W Take out your calculator to calculate the product. For someone who has done factoring, 11.5*12.5 =(12-.5)(12+.5) =12²-0.5² =144-0.25 =143.75 without using a calculator.
January 1, 2017

math
We know that diagonals of parallelograms bisect each other. Using this fact, we would draw two intersection lines with an included angle of 60° (and 120°). From the intersection, measure out four vertices 5/2=2.5 cm on each side of one line, and 7/2=3.5 cm on each side...
January 1, 2017

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