# Arora

Newest questions and responses by Arora
1. ## Math - Cubes

Consider a cube of side 100cm. Consider two diaganolly opposite points (the main body diagnol) as A and B. The cube is kept flat on the ground, and is filled with water upto a 40cm height. Now, the cube is tilted such that AB is vertical. What's the height

2. ## Inorganic Chemistry

Which one is more stable, [PCl4]+ or [PCl6]- ? Why? I'm thinking it has something to do with the fact that the former is tetrahedral and the latter is octahedral, but I'm not sure. Does that affect stability?

3. ## math

When an airplane leaves the runway, its angle of climb is 24° and its speed is 345 feet per second. How long will it take the plane to climb to an altitude of 10,000 feet? 16,000 feet? (Round your answers to one decimal place.) 10,000 ft = ? in s 16,000

4. ## Geometry

Hi, so i reallllyy need help, i have an assignment that i have to complete, but the thing is theres a file and this site doesn't allow links, so does anyone have email to help me if you can help i will greatly appreciate it i'll email you the file. btw

5. ## science

whats the celstial sphere?

1. ## Algebra 2 Probability

In a binomial distribution, the probability of the event happening (and not happening) must remain constant in all trials. This occurs when the removed card is replaced, and not when the removed card remains unreplaced.

posted on April 17, 2018
2. ## math

Step 1: Make a frequency distribution table. I will refer to each of the values (number of cars) as x(i) and each of the frequencies as f(i) Step 2: Finding the mean: Mean = Σ( x(i)*f(i) ) / (Total number of salespersons)

posted on April 17, 2018
3. ## Calculus

Yes, D is the correct answer.

posted on April 17, 2018
4. ## BIO

Loss of body heat is a function of surface area per unit volume. The higher an organism's volume, the higher its metabolic activity and internal heat production. The higher an organism's surface area, the quicker it loses heat to the atmosphere (humans do

posted on April 17, 2018
5. ## Computer

I don't know much about programming, but I don't believe that "calculate the percentage of a student" is the full question.

posted on April 17, 2018
6. ## Math

- 0.4 * n ≤ 6.8 Divide both sides by 0.4: - n ≤ 17 Multiply both sides by -1: (Note that multiplying or dividing by a negative number changes the direction of the inequality) n ≥ -17

posted on April 17, 2018
7. ## Math

Assuming that the food drive lasted only two weeks, Number of cans collected in the second week = c The total number of cans must be more than 410: 185 + c > 410 Simply to obtain an inequality for c.

posted on April 17, 2018
8. ## Physics HELP

Induced emf = - (Rate of change of magnetic flux) = - (Change in magnetic flux)/(Change in Time) = - d(Ф)/dt = - (Final magnetic flux - Initial Magnetic Flux)/0.5 = - (B*A*cos(θ2) - B*A*cos(θ1))/0.5 = - B*A( cos(θ2) - cos(θ1) )/0.5 Your question gives

posted on April 17, 2018
9. ## math

z^2 - 4z + 5 = 0 (Note that the square of i is equal to -1) (2 + i)^2 - 4(2 + i) + 5 = 4 + (i^2) + 4i - 8 - 4i + 5 = 4 - 1 - 8 + 5 = 9 - 9 = 0 Hence, yes, it is a solution.

posted on April 17, 2018
10. ## Math

Do you mean: 2(y + 1) = 2 ? In that case: 2(y + 1) = 2 Divide by two on both side (y + 1) = 1 y + 1 = 1 Subtract one from both sides y = 0

posted on April 16, 2018
11. ## Differential equations

Note that in a linear differential equation, the y' term is not supposed to have any coefficient. Hence, you must turn the differential equation into this form. [1/(x^2+1) * y'] + xy = 3 Multiply the whole equation by (x^2 + 1) y' + [x*(x^2 + 1)]*y = 3(x^2

posted on April 13, 2018
12. ## Math. Can someone check my answer

Slope = (y2 - y1)/(x2 - x1) = (-10 + 5)/(-9 + 2) = (-5)/(-7) = 5/7 The correct answer is C. Always try to recheck your work. If you imagine the given points on the cartesian plane, you will see that they are on a line moving upwards, which must therefore

posted on April 13, 2018
13. ## Mathematics

The longest straight line in this case is given by the diagonal of the rectangle. You can find its length by using the Pythagorean theorem. x^2 = (2.2)^2 + (1.2)^2 Solve for x.

posted on April 12, 2018
14. ## Math

Yes, D is correct.

posted on April 12, 2018
15. ## Chemistry

For finding an unknown molarity of a substance in a titration, we use the following formula: (M1 * V1) / (M2 * V2) = (n1 / n2) Where, M1 = Molarity of chemical 1 M2 = Molarity of chemical 2 V1 = Volume of chemical 1 V2 = Volume of chemical 2 n1 =

posted on April 12, 2018
16. ## Ap Chemistry

Write down the reaction: NaCl + Ag(+) ---> AgCl + Na(+) The main thing to note here is that 1 mol of NaCl reacts completely with 1 mol of silver to form the required product. How many moles of Ag do we have? (It will be equal to the number of moles of

posted on April 12, 2018
17. ## Math

Original oil = 550 l How much was sold? Two-fifths of 550 l = (2/5)*550 = 2*110 = 220 l How much remained? 550 - 220 = 330 How much of the remaining was poured out? One-fifth of the remaning = (1/5)*330 = 66 Finally, how much remained? 330 - 66 = 264

posted on April 11, 2018
18. ## Algebra

Usually, you would input x as 0 (to find intersection on the y-axis) and y as 0 (to find intersection on the x-axis) However, the graph of xy = 12 is a rectangular hyperbola. It does not meet either of the co-ordinate axes. Numerically, When x = 0, 0*y =

posted on April 11, 2018
19. ## Algebra

It will cross the y-axis when x = 0 y = 2(0) + 6 y = 6 It will cross the x-axis when y = 0 0 = 2x + 6 2x = -6 x = -3 Yes, you are correct.

posted on April 11, 2018
20. ## math

5 is V 40 is XL 5:40 am -> V:XL am 6 is VI (There is no symbol for '0' in the roman numeral system) 6:00 pm -> VI:00 pm

posted on April 11, 2018
21. ## Math pre algebra

You need not mention the 'zero and,'. You can directly state the given number as 'twenty-five hundred-thousandths'.

posted on April 11, 2018
22. ## Physics

(I shall use the Cartesian Sign Convention) Object distance = u = - 60cm Focal length = f = + 20cm (The focal length of a converging lens is taken as positive) Image distance = v As per the lens formula, (1/v) = (1/u) + (1/f) (1/v) = (1/20) - (1/60) v = 30

posted on April 10, 2018
23. ## linear systems

y = 8x - 14 y = x^2 + 4x - 10 From these equations, you get: 8x - 14 = x^2 + 4x - 10 4x - 4 = x^2 x^2 - 4x + 4 = 0 (x - 2)^2 = 0 x - 2 = 0 x = 2 So, the x-coordinate of the solution is 2. You can simply plus this into either equation to find the

posted on April 9, 2018
24. ## Chemistry

Bolaji, the molecular mass of the given compound is NOT 512. The compound calcium phosphate should be written as Ca3(PO4)2, and has a mass of 310 u. You do not multiply the masses of calcium and phosphate, this is not an algebraic equation. You add the

posted on April 9, 2018
25. ## math

Based on the answer I gave to your previous question, what would (f-g)(x) mean?

posted on April 9, 2018
26. ## math

This answers this question and the next: (f + g)(x) means that you have to add both f(x) and g(x). (f + g)(x) = x^2 − 36 + x^3 + 2x^2 − 10 (You have to simplify this) Similarly, (f * g)(x) means that you have to multiply f(x) and g(x).

posted on April 9, 2018
27. ## Physics

Refractive Index = (Speed of light in vacuum)/(Speed of light in medium) Speed of light in vacuum = 3 x 10^8 m/s Refractive Index = 1.33 1.33 = (3 x 10^8)/(x) Solve for x.

posted on April 6, 2018
28. ## Circuits 2

Most attenuation will occur when the current is highest. For an LCR circuit, as is given, this occurs at the condition of resonant frequency. For the required condition, ω = 1/(√LC) Plug in the values of L and C.

posted on April 3, 2018
29. ## College Algebra

Assuming the given expression is n(t) = n(0) * e^(0.15t), Given: In the year 1995, t = 0 n(0) = 20 a) t = 10 n(t) = n(0) * e^(0.15t) = 20 * e^(0.15*10) = 20 * e^(1.5) b) n(t) = 400 n(t) = n(0) * e^(0.15t) = 20 * e^(0.15*t) 400 = 20 * e^(0.15*t) Solve for

posted on April 3, 2018
30. ## Math

Yes, one of the angles turns out to be 78.5 degrees.

posted on April 3, 2018
31. ## Math

This requires the dimensions of the tiles, which requires the given diagram.

posted on April 3, 2018
32. ## algebra

Area of the rectangle = Product of the sides = (6 * 8) square ft = 48 sq ft Area of the square = Square of the side length = s^2 (Taking s as the side length) This is equal to the area of the rectangle. So, s^2 = 48 s = √48 s = 4√3 ft

posted on April 3, 2018
33. ## math

Use the distributive property: (∛x +2)(∛(x^2)-2∛x +4) = (∛x)(∛(x^2)) + 2(∛(x^2)) + (∛x)(-2∛x) + 2(-2∛x) + 4(∛x) + 4*2 (When the same base with different exponents is multiplied, the exponents are added, also, ∛x = x^(1/3), ∛(x^2) =

posted on April 3, 2018
34. ## Science

The inference you can make this reaction is that Aluminum oxide is a basic oxide, because it forms a salt upon reacting with a base. (Do keep in mind, however, that Al2O3 is amphoteric. From this reaction, you can only infer its basic nature)

posted on April 2, 2018
35. ## Science

Only the xylem parenchyma is living, the answer is A.

posted on April 2, 2018
36. ## chemistry

The first step that takes place in the amide formation reaction, is that the :NH3 molecule (the semicolon represents the lone pair) donates its lone pair to the carbon atom (which is connected to the oxygen atom), forming a bond. The more electrophilic

posted on March 30, 2018
37. ## chemistry

The reason the test works is because the Fe(3+) ion formed reacts with the benzoate ion formed to give a coloured solution. However, in an excess of alkali, the Fe(3+) ion instead reacts with the OH(-) ions in order to form ferrous hydroxide, which

posted on March 30, 2018
38. ## Tourism

A characteristic of personality is that its core remains mostly stable throughout a person's life even in the presence of changing situational factors. However, it is also dynamic in the sense that an individual can show a wide range of traits to adapt to

posted on March 29, 2018
39. ## Physics

C, Disassemble the nucleus (into its individual protons and neutrons)

posted on March 29, 2018
40. ## Math

We need all values of x for which y is positive or zero. So, x²-6x+9 is either positive or zero. x²-6x+9 ≥ 0 x²-6x ≥ -9 (x - 3)^2 - 9 ≥ -9 (x - 3)^2 ≥ 0 x - 3 ≥ 0 x ≥ 3

posted on March 29, 2018
41. ## MATH

(a - b)^n = Sum of all [(-1)^r]*(nCr)*(a^r)*[b^(n-r)] Where 'r' varies from 0 to n. a = 2 b = (1/4)x n = 4 r = 0,1,2,3,4 Plug in the values, sum it up.

posted on March 29, 2018
42. ## Math

Yes, b is correct.

posted on March 27, 2018
43. ## Math

Probability that a student is x inches tall = (Number of students who are x inches tall)/(Total number) In this case, the total number is the sum of all individual frequencies, which is 28 The number of students who are 52 inches tall = 6 Probability that

posted on March 27, 2018
44. ## math

John's age = x Age in three years = Three times as old as today (x + 4) = 3*x x + 4 = 3x 4 = 3x - x 4 = 2x x = ?

posted on March 27, 2018
45. ## Maths

Cost of one box = 2800 Cost of 40 boxes = 40 * 2800 = 112000 Discount = 4% of 112000 = 0.04 * 112000 = 4480 Amount paid = Price - Discount = 112000 - 4480 = ?

posted on March 27, 2018
46. ## Mathematics

Interest = Final - Initial = 1344 - 1200 = 144 Interest = Principal amount * Rate * Time 144 = 1200 * 0.06 * t 144/(1200*0.06) = t 144/72 = t 2 = t The time is two years.

posted on March 26, 2018
47. ## Math

hog = h(g(x)) = h(-x+3) = √(-x+3) The term in the square root cannot take negative values. It must be greater than (or equal to) zero. -x + 3 >= 0 -x >= -3 x =< 3 Hence, the domain of x is given by (-∞, 3]

posted on March 25, 2018
48. ## Calculus

Length of billboard = x Width of billboard = (100/x) Length including margin = x + 4 + 4 = (x+8) Width including margin = (100/x) + 2 + 2 = (100/x + 4) The total area is given by: (x+8)*(100/x + 4) = 100 + (800/x) + 4x + 32 = 4x + (800/x) + 132 This is the

posted on March 25, 2018
49. ## Chemistry (concentration)

Is there any specific portion in these questions you do not understand? You've posted quite a few problems without any of your attempts to solve them.

posted on March 24, 2018
50. ## Chemistry

204 grams of sugar dissolve in 100 g of water. => 1 gram of sugar dissolves in (100/204)g of water => 612 grams of sugar dissolves in 612*(100/204)g of water

posted on March 24, 2018
51. ## Math

You require two digits, the sum of which is 14. These digits satisfy that property: 7,7 6,8 8,6 5,9 9,5 Put each of them into your final number, and you will get five such numbers. 2277 and 2268 are two, there are three more.

posted on March 24, 2018
52. ## Math

Total marbles = x Red = (1/4)x Green = (1/8)x Yellow = (1/8)x Your question is missing a word in the part 'he brought 18 more marbles than' Take the difference of whichever colour has 18 more marbles than red, and solve for x.

posted on March 24, 2018
53. ## college physics

c = Frequency * Wavelength c = Speed of light = 3 * 10^8 m/sec Input each frequency and the corresponding wavelengths will give you the wavelength range.

posted on March 23, 2018
54. ## math

If you've been asked to determine the intersection by 'plotting accurate graphs', then it seems like you're expected to plot the given equations on graph paper, and then check the x and y co-ordinates of the point of intersection on your graph, rather than

posted on March 22, 2018
55. ## Calculus

Radius = r Area = 4π(r^2) As per the question: dr/dt = 3ft/min dr/dt = 3 When t = 4, r = t*3 = 4*3 = 12 ft d(Area)/dt = d(4π*r^2)/dt = 4π*2r*(dr/dt) Plug in r = 12, dr/dt = 3, you'll get the answer (in feet squared per minute)

posted on March 22, 2018
56. ## Maths

d[X]/dt = (0.001)*[X] => d[X]/[X] = (0.001)*dt Integrating both sides, ∫(1/[X])*d[X] = (0.001)*∫dt => log[X] = 0.001*t + C Now, the question says that when t = 0, X = W => log[W] = 0 + C = C Putting this value of C in the original equation, log[X] =

posted on March 22, 2018
57. ## Calculus

For the parametric equation: dy/dt = 1 dx/dt = 5 So, dy/dx = (1/5) This is the slope of the tangent to the line with the given parametric equation. So, m = (1/5) Point-slope form of a line: (y - y') = m(x - x') (y - 4) = (1/5)(x - 6) y = (1/5)x + 14/5 You

posted on March 22, 2018
58. ## Calculus

Consider: r = the radius of the tank R = the radius of the combined sphere k, k' = constants Volume of the layer of ice = Volume of the large sphere - Volume of the small sphere = (4π/3)*(R^3 - r^3) Now, it's given that the rate of decrease of this volume

posted on March 20, 2018
59. ## science

Energy stored in a capacitor = E = (1/2)*C*(V^2) => V = √((2*E)/C) As per the question, E = 5 * 10^-4 J C = 3.3 * 10^-3 Plug in the values to get 'V'

posted on March 20, 2018
60. ## Math

The perimeter of a figure is the sum of the lengths of all its sides. The rectangle given to you has four sides. Two are of length 23 yards, and two are of length 14 yards. Perimeter = 23 + 23 + 14 + 14 = 46 + 28 = 74 yards

posted on March 20, 2018
61. ## Physics

Change in potential energy = Kinetic Energy m*g*h = (1/2)*m*(v^2) 9.8 * 2.5 * 2 = v^2 49 = v^2 v = 7 m/s

posted on March 18, 2018
62. ## math

[(x^2-4)/(4x)] * [(12x^4)/(x+2)] = [(x-2)(x+2)/(4x)] * [(12x^4)/(x+2)] = [ (x-2)(x+2)(12x^4) / (4x)(x+2) ] = [ (x-2)(12x^4) / (4x) ] = [ (x-2)(12x^3) / 4 ] = [ (x-2)(3x^3) ]

posted on March 18, 2018
63. ## Maths

If you mean: (5x) / (x^2 + 1), Then it depends entirely on what value of 'x' you take. For x = 0, the two terms are equal. For x = 1, (5x) / (x^2 + 1) is greater than one. For x = -1, (5x) / (x^2 + 1) is less than one.

posted on March 18, 2018
64. ## Math

Your matrices are correct. As for determining the total expenditure, multiply both the matrices together. If you multiply a 2*3 with a 3*1 matrix (in that order), the product will be a 2*1 matrix. It will have two entries, each giving you the total

posted on March 18, 2018
65. ## math

Original price = 75 (Can be approximated, it doesn't change the answer) Supermart: First discount = 25% of 75 = 0.25*75 = 18.75 , Cost = 75 - 18.75 = 56.25 Second discount = 15% of 56.25 = 8.43 , Final Cost = 56.25 - 8.43 = 47.8 Follow the same procedure

posted on March 17, 2018
66. ## math

3 dozen eggs = 3 * 12 eggs = 36 eggs 25% of 36 = (25/100)*36 = (1/4)*36 = 9 9 broke, how many are left?

posted on March 17, 2018
67. ## math

sina = (1/2) cosa = √( 1 - (sina)^2) = (√3)/2 tana = sina/cosa = 1/√3 tan2a = (2tana/(1-(tana)^2) Plug in the value of tan(a).

posted on March 17, 2018
68. ## ALGEBRA 1!!!! PLS HELP!!!!

Four consecutive integers: x, (x+1), (x+2), (x+3) As per the question, 3*[x + (x + 2)] = 4(x+3) + 44 3(2x + 2) = 4x + 12 + 44 6x + 6 = 4x + 56 Solve for x.

posted on March 16, 2018
69. ## Math

What type of graph are you dealing with? This really can't be solved without the graph. However, this may help: 1. A graph represents a linear relationship when the function varies linearly with the variable, that is, when the graph is a straight line.

posted on March 14, 2018
70. ## science

Yes, A is correct.

posted on March 14, 2018
71. ## Math

The lengths of both edges in similar rectangles have equal ratios. => (Length 1)/(Length 2) = (Width 1)/(Width 2) => 12/x = 10/15 => x = (12*15)/10 Solve for x.

posted on March 14, 2018
72. ## Math

The lengths of both edges in similar rectangles have equal ratios. => (Length 1)/(Length 2) = (Width 1)/(Width 2) => 12/x = 10/15 => x = (12*15)/10 Solve for x.

posted on March 14, 2018
73. ## School

Two complementary angle sum up to give 90 degrees. Angle 1 = x Angle 2 = (5/8)x x + (5/8)x = 90 Solve for x

posted on March 13, 2018
74. ## Science

Which conditions?

posted on March 12, 2018
75. ## math

Interest = Principal amount * Rate * Time = 1000 * 0.03 * 6 Total = 1000 + Interest

posted on March 11, 2018
76. ## physics

F = k * (q1 * q2) * (1/r^2) Where k is a constant = 9 * 10^9 q1 and q2 are the individual charges, and r is the distance between them. When you plug in the given values, you will get an equation of the type: q1 * q2 = something Combine this with (q1 + q2 =

posted on March 10, 2018
77. ## Physics

Your first step, is that you consider the electric field across the plates of the capacitor. When you take any small charge = dq from one plate of the capacitor to another, work will be done due to the presence of this electric field. That work is

posted on March 10, 2018
78. ## maths

Area of margin = Area of bigger rectangle including margin - Area of picture Area of bigger rectangle = (50 + 2.5 + 2.5) * (30 + 2.5 + 2.5) = 55 * 35 Area of picture = 50 * 30 Area of margin = (55*35) - (50*30)

posted on March 10, 2018
79. ## MATH

1/(1738000+h) = 3.599*10^-7 => 1 = (3.599*10^-7) * (1738000 + h) => 1/(3.599*10^-7) = (1738000 + h) Now, 1/(3.599*10^-7) = (10/3.599)*10^6 = 2.778*10^6 => 2.778*10^6 = (1738000 + h) => 1738000+h = 2.778550*10^+6 Feel free to reply with any doubts you may

posted on March 10, 2018
80. ## Science

6. For this one you can consider the example of Snapdragon. Co-dominance is when both phenotypes are expressed. A mixture of red-colour genes and white-colour genes would lead to pink colouration. 7. This is an autosomal recessive disease. So, both parents

posted on March 9, 2018
81. ## AP Physics

Rotational Kinetic Energy = Work done by torque = (1/2)*(Moment of inertia)*(Final angular Velocity)^2 Convert rotations per minute to radians per second, plug in that value along with the value of the Moment of inertia (rotational inertia) and solve for

posted on March 8, 2018
82. ## Physics

You can use the following equation of motion: v = u + at v is 0, since the vehicle comes to a stop. u is given to be 70m/s t is 2 seconds Solve for a. You will get a negative value, which implies deceleration.

posted on March 8, 2018
83. ## Chem

PV = nRT => n = PV/RT, where n = number of moles Volume = 1.99L Pressure = 1 bar Temperature = 273.15 K Remember to take the value of R which corresponds to all these units. Use the above equation to solve for 'n'. Number of molecules = n * Avogadro's

posted on March 8, 2018
84. ## precalculus

cotxsinx - cosx + cosx Putting in cotx = (cos/sinx), (cosx/sinx)*sinx + (- cosx + cosx) = cosx*(sinx/sinx) + 0 = cosx*1 = cosx

posted on March 8, 2018
85. ## Chemistry

posted on March 7, 2018
86. ## Chemistry

The mass of Y is 1.5 times the mass of X in the compound, as per the percentages. If both molecules had the same atomic mass, they would also be present in this ratio in the compound. However, the atomic mass of X is twice that of Y. So, for the same mass,

posted on March 7, 2018
87. ## math

Age of Mwenda = x Age of Mwenda's sister = y i) x = (3/5)*y ii) (x - 20) = (2/5)*(y - 20) Now, put 'x = (3/5)y' into the second equation. => ((3/5)*y - 20) = (2/5)*(y - 20) Solve for y, then for x.

posted on March 7, 2018
88. ## math

5*(x + 10) + x = (5*x) + (5*10) + x = 5x + 50 + x = 6x + 50 Multiplication distributes across brackets.

posted on March 6, 2018
89. ## Algebra 2 (Recursive Rule)

Partly correct, it should be a(n) = a(n-1) - 13.8, not a(n) = a(n+1) - 13.8 This is because a(n) is given by subtracting 13.8 from the number *before* it, which is a(n-1)

posted on March 5, 2018
90. ## math

Mass of one book in kg = Total mass (in kg) / Number of books = 2.82/6 Mass of one book in g = Mass in kg * 1000

posted on March 4, 2018
91. ## Science

Molarity = Number of moles / Volume (in liters) = 0.0285 / 0.050

posted on March 4, 2018
92. ## MATH

Distance = Speed * Time Speed = 60 km/hr Time = Time between 8:55 AM to 10:10 PM = 13 hours and 15 minutes = 13.25 hours (15 minutes are a quarter of an hour) Distance = Speed*Time = 60*13.25

posted on March 3, 2018
93. ## math

1) f(x) = x - x^2 When the determinant (b^2 - 4ac) of a quadratic is negative, it will have non-real zeros. This is true for f(x) - (1/2) 2) No In order to get i^x = 1, x must be four, or some multiple of four (could also be negative because 1/1 is equal

posted on March 3, 2018
94. ## Differential Equations

The equation should be: x' + y' = x - y => y' + (1)y = (x - x')

posted on March 2, 2018
95. ## Differential Equations

x'=-y+t y'=x-t Add these two equations, you get: x' + y' = x - y y' + (x')y = x That gives you a linear differential equation of the form: y' + Py = Q Considering that P is the derivative of x, it'll make things easy while solving for the integrating

posted on March 2, 2018