Expert Answers to Algebra 2 Problems

Determine whether the function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither.
$h(x)=3x^4-<!--\; -\; -->x^6$
Determine whether the function is even, odd, or neither. Choose the correct answer below.
a. odd
b. even
c. neither

The volume of air in one beach ball is 288π in3. What is the volume of air in a ball whose radius is 3 inches greater than the first beach ball?

The trustees of a college have accepted a gift of $475000, but are required to deposit it m an account payıng 10% per year, compounded semiannually. They may make equal withdrawals at the end of each sx-month period, but the money must last 7 years. Find the amount of each withdrawal Find the amount of each withdrawal if the money must last 9 years.

Prove $\frac{\ln <!--\; \; -->(x)}{x}\le <!--\; \le \; -->{\log }_{10}<!--\; \; -->2$
How would I go about proving the following inequality?
$\frac{\ln <!--\; \; -->(x)}{x}\le <!--\; \le \; -->{\log }_{10}<!--\; \; -->2$
Is there an algebraic solution and if not, why?

What are logarithms?
I have heard of logarithms, and done very little research at all. From that little bit of research I found out its in algebra 2. Sadly to say, I'm going into 9th grade, but yet I'm learning [calculus!?] and I don't know what a logarithm is! I find it in many places now. I deem it important to know what a logarithm is even though I'm jumping the gun in a sense. My understanding of concepts, is just like that of programming. In the mean time, you know its there, and your ITCHING SO HARD to find out what that is, but nope! For now we use it, tomorrow we learn what it does.
I just know that to identify a logarithm at my level, I just look for a log. :P

Find the equation for the vertical line that pass by the point with coordinates 5,-2

Swimming pool design. An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions marked L and W ? Assume L is greater than W.

For a woven hanging. Mike needs three pieces of yarn, which he will cut from a 40 cm piece. The longest piece is to be three times as long as the middle-sized piece, and the shortest piece is to be 5cm shorter than the middle-sized piece.
What lengths should be cut?

Solve the Equation:
$\frac{dy}{dx}=\frac{1}{x+y^2}$

Solve this: $9+5(2c-<!--\; -\; -->1)$

Fast food. If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?

Find all values of u which satifies the equation:
$\frac{1}{u-<!--\; -\; -->2}=-<!--\; -\; -->4+\frac{5}{u+1}$

A collection of 30 coins worth $5.50 consists of nickels,dimes and quarters. There are twice as many dimes as nickels. Howmany quarters are there?

You are on a negotiating panel in a union hearing for a large corporation. The union is asking for a base pay of $9.25 peryear plus an additional piecework rate of $0.80 per unitproduced. The corporation is offering a base pay of $6.85 perhour plus a piecework rate of $1.15.
1. After forming linear equations for each payscheldule, find the point of intersection.
2. Interpret the meaning of the point of intersection ofthe graphs. How would you use this information to advise the corporation or the union?

Solve the equation on the ineterval $[0,2\mathrm{\pi <!--\; \pi \; -->}]$
$2{\cos }^2<!--\; \; -->x+\sin <!--\; \; -->x-<!--\; -\; -->2=0$

In a mixture of concrete, there are 3 lb of cement mix for every 1 ib of gravel. If the mixture contains a total of 140 lbs of these two ingredients, how many pounds of gravel are there?

Solve the equations using logs:
(1.45)x =25
$2/7=(0.6{)}^{2t}$
$500=25(1.1{)}^{3x}$

Assume that a population size at time t is N(t) anf that $N(t)=40\ast <!--\; \ast \; -->2^t,t>0$
a)Find the population at time t = 0.
b)Show that $N(t)=40e^{t\ln <!--\; \; -->2},t>0$
c)How long will it take until the population size reaches 1000? [Hint:Find t so that N(t) = 1000]

Find the area of the region bounded by the graph of the equation $=\sin <!--\; \; -->2x,y=0,x=0,x=\mathrm{\pi <!--\; \pi \; -->}/2$

How long doesit take $5,000 to grow to $10,000 at 6% compounded continuously?