Mathematics

Shortest distance between a point and a plane

Find the distance between the point (0,0,0) and the plane given by the equation x+2y+3z= 14. I got square root (14) as the answer. Is this correct? Thank you.-The perpendicular distance from point

Find dy/dx for (4x-5)^3 (4x+2)^3

The easiest way would be this way: a^c * b^c = (a * b)^c (4x - 5)^3 * (4x + 2)^3 => ((4x - 5) * (4x + 2))^3 => (16x^2 - 20x + 8x - 10)^3 => (16x^2 - 12x - 10)^3 d/du u^n = n * u^(n - 1) * du u = 1

In what quadrant would theta appear if theta = arctan (-1)

Is it in quadrant 2 or 4? Because one of my books says the answer is 2, but the other one is saying that the restricted domain of arctan can only lay in the first and fourth quadrant.-Domain of arc ta

Use the Gauss-Jordan method to solve this system

This is the augmented matrix: [1-2-1 |2] [231| -3] [350| -1] I have to solve it using this method, but I already know the answer, so if someone could show me the steps that would be great. I tried

I need some help on homework, specifically math

This is regarding a gr.7 Mathematics question. Explain which event is more likely: -rolling two dice and getting a total of 11 or -tossing a coin and getting three Heads in a row-rolling the dice

Write the follow phrases as algebraic expressions

the product of TWO consecutive numbers when the smaller number is y.-two consecutive numbers are 1 number apart.If the smaller number is y, then the next one is y+1. The product of those two is y*(y+1

Standard form...? algebra help..? :)

Work out, expressing your answers in standard form, (6 x 106) ÷ (8 x 103) Work out, expressing your answers in standard form, 1.5 x 105 - 8 x 104 Work out, expressing your answers in standard form,

A sample of n = 4 scores is selected from a population with μ = 100 and σ = 20. If the sample mean is M = 110,

A sample of n = 4 scores is selected from a population with μ = 100 and σ = 20. If the sample mean is M = 110, what is the z-score for this sample mean?-the z-score formula in this case is: z = (M -

Integral from 3 to 6:: d/dt(4+3t^4)^(1/2)dt

this is an integral of a derivative, so what it becomes is: ∫ d/dt (4 + 3t^4)^(1/2) dt = (4 + 3t^4)^(1/2) integrals of derivatives cancel each other out. so all you have to do is evaluate it at 6 a

Resolve the differential equation : xy' + 4 = y^2 with the condition : y(1)=1

I finished with the answer 2x -2/ 1-x = y I think its wrong though so if anyone could show their steps thatd be great. Thank you.-Solve this differential equation by using an integrating factor: xy +

Which of the following is a solution of y - x < -3

a.(6, 2) b.(2, 6) c.(2, -1) i need an answer quick-same as: x - y > 3difference is greater than 3 y try out the answers a. 6 - 2 > 3--->4 > 3check b. 2 - 6 > 3--->-4 > 3false c. 2 - (-1) > 3--->3

Statistics problem: rolling a die

If one die is rolled one time, find the probability of getting a number greater than 3 or an odd number. Please help it is for test review.-N = total number of possible outcomes = {1, 2, 3, 4, 5, 6} =

Solve the differential equation

f(x)=2/x^2, f(1)=4, f(1)=3 The first one is the 2nd derivative. So far I got the anti-derivative -2\x + c and then f(1)= -2/(1) + 4 =2 so, -2\x+2 dx but now Im lost-f(x) = 2x⁻² Integrate to get f

The area of a trapezoid...

I need help on this math question, Im confused and i dont understand it ethier. *(If you can, may you please write how you got your answer? Its ok if you cant.)* ____________________________________

A guy has 3/4 full tank of gas. Drives 150 miles to complete the trip and uses 1/2 tank. How much gas is left

A guy starts out a trip with 3/4 of a tank full of gas. He drives to his destination which takes 150 miles and uses 1/2 a tank of gas how much gas is left? The answer is not 1/4 for anybody answering