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Algebra
Find all points (x, y) where the functions f(x), g(x), h(x) have the same value :
f(x) = 2x−5 + 3 , g(x) = 2x − 5 , h(x) = (8/x)+ 10
f(x) = 2x−5 + 3 , g(x) = 2x − 5 , h(x) = (8/x)+ 10
Algebra
Consider the following sequence of successive numbers of the 2^k-th power:
1, 2^2^k, 3^2^k, 4^2^k, 5^2^k, ...
Show that the difference between the numbers in this sequence is odd for all k ∈ N
1, 2^2^k, 3^2^k, 4^2^k, 5^2^k, ...
Show that the difference between the numbers in this sequence is odd for all k ∈ N
Algebra
(e^x)^2=e^2x prove this identity
Algebra
5(x+1)+5(x-1)=26
Algebra
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).
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).
Algebra
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.
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.
Algebra
what type of number is 3 over 5?
Algebra
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?
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?
Algebra
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) not equal to 0 for all x such that λ(x) = q(x)(p(x) + 1).
Algebra
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?
