MAT222 Week 3 Paper Essay Example

Radical Formulas
MAT 222 Intermediate Algebra
Yelena Vaynberg
August 11, 2013

Radical Formulas
This week we learned about Radical Formulas and how this can be applied in our everyday lives. Radicals seem very complicated at first, but because we have learned so much already, it is just taking what we already know and apply it to the problem that we have been assigned. I have been asked to work a problem 103 and 104 on pages 605 and 606 of our math book Elementary and Intermediate Algebra. We are going to break out each step to show how we came to our answer. By breaking out our problems, we will have a better understanding of the solving radical formulas.
We will start working problem 103 on page 605 of Elementary and Intermediate Algebra. Problem 103 states: "Sailboat stability, To be considered safe for ocean sailing, the capsize screening value C should be less than 2 (www.sailing.com). For a boat with a beam (or width) b in feet and displacement d in pounds, C is determined by the function C=4d-1/3b. a) Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet. b) Solve this formula for d. c) The accompanying graph shows C in terms of d for the Tartan 4100 (b =13.5). For what displacement is the Tartan 4100 safe for ocean sailing? .
Here are the steps that we will use.
Step one

Starting with the formula.
Step two

Here we have plugged in the values into our formula. When solving we do order of operations first and we will solve exponents first.
Step three

Now we multiply
Step four

Step five

The capsize screening value is less than 2.

Now we will solve the problem for d.
Step one

Step two

We will divide by 4b
Step three

Step four

Raise all the parts to the -3rd power.
Step five

The (4b)3 has became the reciprocal to the 3rd power
Step six

Here is the solution for d.

Our last question to answer