Algebra Answers

You have given a function λ : R → R with the following properties (x ∈ R, n ∈ N):

λ(n) = 0 , λ(x + 1) = λ(x) , λ(n+1/2)=1
Find two functions p, q : R → R with q(x)6=0 for all x such that λ(x) = q(x)(p(x) + 1).

A psychologist is studying the capacity of the human mind to process information. He has found that the percentage of information one particular participant can recall after t months have passed can be modeled by the following logarithmic function.

f(t)=92−22ln(t+1), where 1≤t≤12
What percentage of information is retained after 8 months? Round your answer to the nearest whole percentage, if necessary.

what type of number is 3 over 5?

You have given a function λ : R → R with the following properties (x ∈ R, n ∈ N):

λ(n) = 0 , λ(x + 1) = λ(x) , λ(n+1/2)=1
Find two functions p, q : R → R with q(x)6=0 for all x such that λ(x) = q(x)(p(x) + 1).

A silo has the form of a right circular cylinder 20m in diameter and 45m
high. The lateral surface of the silo is to be painted with two coats of
elastomeric paint.

1. If the contract calls for two coats of paint and if it is estimated that
one gallon of paint can cover 30 square meters of surface in one
coating, how many gallons of paint needed to cover the lateral
surface area of the silo?
2. How much will be the contract amount for painting if painting cost is Php 800 per sqm?

LaToya throws a ball from the top of a bridge. Her throw is modeled by the equation y=-.5x^2+3x+12 and the bridge is modeled by the equation y=-.2x+9. About how far does the ball travel horizontally before its first​ bounce?

An airplane is descending in preparation for a landing at an airport. The height, h, in meters of the airplane above the ground level of the airport is a linear function of time, t, where t is the number of minutes after the plane started to descend. The plane was 3,915 meters above the ground level of the airport 2 minutes into the plane's decent and was 2,025 meters above after 9 minutes. How long will it take the plane to land at the airport after it started to descend

if a secretary earns 1200 pesos for 8 office hours in a day, how much will be her salary for working office hours for 4 weeks?