The weight of an object varies inversely as the square of its distance from the center of the Earth. If an object at sea level (3978 mi from the center of the earth) weighs 220 lb, find its weight...
For a body falling freely from rest (neglecting air resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from a tower 400 ft high and hits the...
. For each substance, find the pH from the given hydronium ion concentration. (a) coffee, 1.26×?10?^(-5) (b) milk, 2.51×?10?^(-7) (c) lutefisk, 5.01×?10?^(-12)
4. Graph the following functions. (a) f(x)=5^x (b) f(x)=(2/3)^x (c) f(x)=-3^(-x)
Write log_2?(x-1)+log_2?(x+1)-log_2?(x^2-1) as a single logarithm with a coefficient of 1
Write log_8??x^2/(yz^2 )? as a sum, difference, or product of logarithms. Simplify the result if possible
Find the future value and interest earned if $480.00 is invested at 8% compounded (a) quarterly for 3 years. (b) continuously for 3 years.
Use the definition of inverses to determine whether f(x)=(5x-3)/(2x+1) and g(x)=(x+3)/(5-2x) are inverses
Given f(x)=5x+8. (a) Determine whether f(x) is one-to-one. (b) Find a formula for its inverse. (c) Graph f(x) and f^(-1) (x) on the same axis
Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a decimal to the nearest tenth.
Evaluate the function at the indicated values. 1.) g(x)=3x^2-4 a.) g(x^2 ) b.) g(3x^2-4) c.) g(x-h) d.) g(x)-g(h) e.) (g(x+h)-g(x))/h, h ≠0 2.)...
What is the equation of a line with slope -1/2 and passing through (-4, 1). How do I write it in slope-intercept form.
How can you tell which formula(s) to use on the attached problem? Slope formula m = y2-y1 _____ x2-x1 point-slope formula y-y1 = m(x-x1) slope-intercept...
Graph the following equation and show all work. y=-4x+1
Use the boundedness theorem to show that f(x)=x^5-2x^3-x+2 has no real zero less than -3 and no real zero greater than 3
Explain how the graph of f(x)=(-2)/(x-3)^2 can be obtained from the graph of y=1/x^2 by means of translations, compressions, expansions, or reflections
1. 100a^3bc^2/40a4c 2. 2x^2-2x-40/x^2-25 3. xy-4y-3x+12/x^2-7x+12
1. x^2-2x-35/x^2+10x+25*x^2+4x-5/x^2-8x+7 2. 16-x^2/x^3+64*x^2/x^2-2x-8 divded by x^2+4/x^2-4x+16 3. 3x^2-6x-105/x^2-3x-28 divided by x+5/4x+16 4. 4/x-3-2/x+1 5...
develop your own real world equation using words for the variables. Then, translate your equation into polynomials and share both versions of the equation
Add or subtract . Simplify answer 5√75 -4√50 + √48 =
Find all the complex zeros of f(x)=5x^4-4x^3+19x^2-16x-4. Give exact values