Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.6 ln x -  ln y

A. ln 
B. ln x6y3
C. ln x6
D. ln 


Answer: A

Mathematics

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Solve the problem.The kinetic energy E of an electron in a television picture tube is given by  where E is in joules, m is the mass of the electron in kilograms, and v is its speed in meters per second. Find the kinetic energy of an electron if its speed is  (The mass of an electron is 

A. 4.37 × 10-19 J B. 4.46 × 10-24 J C. 8.75 × 10-17 J D. 4.37 × 10-17 J

Mathematics

Make the indicated conversion within metric units of mass.247 grams to kilograms

A. 24,700 kg B. 247,000 kg C. 0.0247 kg D. 0.247 kg

Mathematics

Provide an appropriate response.Which of the following equations is not in proper form for using the zero-factor property? Explain.3n(n - 4)(n - 5) = 0a(a - 6) - 3(a - 5) = 0(z - 3)(z - 1) = 0y(-3y - 1) = 0

What will be an ideal response?

Mathematics

Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = -x2 - 8x

A. vertex: (-4, 16)
axis of symmetry: x = -4
x-intercepts: 0 and -8; y-intercept: 0
domain: (-?, ?); range: (-?, 16]
 
B. vertex: (4, -16)
axis of symmetry: x = 4
x-intercept: none; y-intercept: -32
domain: (-?, ?); range: (-?, -16]

C. vertex: (-4, -16)
axis of symmetry: x = -4
x-intercept: none; y-intercept: -32
domain: (-?, ?); range: (-?, -16]
 
D. vertex: (4, 16)
axis of symmetry: x = 4
x-intercepts: 0 and 8; y-intercept: 0
domain: (-?, ?); range: (-?, 16]
 

Mathematics