Mathematics

Simple Harmonic Motion

At what displacement from the equilibrium is the energy of a Simple Harmonic Motion half kinetic energy and half the potential energy?-Let A > 0 represent the amplitude of the motion (maximum distance

At what temperature will the Celsius reading be twice as high as the Fahrenheit reading

C=(5/9)(F -32) to convert Fahrenheit to Celsius. So when will (5/9)(F-32)= 2(F) (5/9)F-(32*5)/9= 2F -160/9= 2F-(5/9)F -160/9=( 13/9)F (-160/9)(9/13)=F F= -160/13 or about -12.3 degrees F Then C=

Precal algebraic expression

I need help simplify this equation... (2x^(2) -3x+1)(4)(3x+2)^(3) + (3x+2)^(4)(4x-3) Im trying to understand how to do these problems but i dont even know where to get started...please show steps-Ba

The difference between two nos. is 12 and twice the larger is three times the smaller.what is the smaller no.

Let the 2 numbers bex & y Let x be the smaller number and y the bigger number. THE TRICK IS TO FORM 2 EQUATIONS AND SOLVE IT. y - x= 12 y = 12 + x 2y = 3x SUBSTITUTE FOR y 2 ( 12+x) = 3x 24 +2

How to factor: 8x^9-5x^7+20x^6 =

i been struggling with this all day plz help me-First factor out x^6 to get x^6(8x^2-5x+20). x^6(8x^2-5x+20) is the most factored form because 8x^2-5x+20 cant be factored.-Honestly the only way I can

How much pure acid should be added to 18ounces of 35% acid solution to produce 50% acid solution

Let the amount of acid added bex ounces x + 0.35*18 = 0.5 ( x + 18) x + 6.3 = 0.5x + 9 0.5x = 2.7 x = 2.7 /0.5 = 5.4 ounces ANSWER

How many peanuts should be mix w/ a nut mixture that is 40%peanuts to produce 36ounces of a 60%peanut mixture

balance the weight of peanuts let there be x ounces of the 40% nut mixture ==> .40x ounces of peanuts since there are 36 ounces of the final mixture, there must be 36 - x ounces of pure peanuts 36

Help solving logarithms

I really need help solving these problems in my calculus summer packet. 1) log10^12 2) ln e^19 3) e^ 2 ln 5 4) write log (2x^2 y^3) as a sum of logarithms, 5) write ln x^3 - 4ln(xy) as a single l

How would you do a problem like this

I am not looking for an answer, because this is not the actual problem. I am simply looking for someone to tell me how to do this. It is a similar problem, but I changed the numbers, because I want to

Help me solve this in out table.

Inputs are: 2 5 0 Outputs are: -6 -15 0 What is the rule?-Let x = input, y = output.Then: y = -3x-y=-3x

Ln(4 - 4x) = -4 Solve each equation for x. (Enter an exact answer.)

Can anyone answer this question please?-Take both sides to the e power. ln(4 - 4x) = -4 e^[ln(4 - 4x)] = e^-4 4 - 4x = e^-4 -4x = e^-4 - 4 x = (e^-4 - 4)/-4 x = 0.995421 Cheers!-42 to the power of 9

Find (fg)(x) for f(x)=25-x^2 and g(x)=5-x

Help, thankyou-So Multiply (25-x^2)(25-x^2)

Calculus 3 Question Please Explain

Find unit vector a) parallel to and b) perpendicular to f(x) at the given point. f(x) = -x^2 + 5. Point (1,4) Thank you-First start by finding the slope of the tangent line at (1,4), so... f (x) = -

Help with random variables and expectations

Let X be a random variable which is de…fined over the interval [0, 2]. Find E[X], E[X^2], and E[ 1/ X ] for the following scenarios: (a) The density function for X is given by: f(x) = ax for x is the

A bacteria culture starts with 700 bacteria and doubles in size every half hour.

(a) How many bacteria are there after 3 hours? b) How many bacteria are there after t hours? (c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.) (d) Grap