Algebra Answers

Aaron built a frame for his chicken pen. The length of the pen measures 2.3 m and the width of the pen measures 1.4m. The chicken wire comes in a pack that measures 2 m. How many packs will Aaron need to buy?

A bicycle dealer was asked how many bikes he had in stock. He answered, “If one-half,

one-third, and one-quarter of the number of bikes were added together, they would make

13.” How many bikes did he have in stock?

How would a scientist make 1,000cc of a1/10 dilution of concentrate

_{five parts serum is added to 10 parts water.find the solution dilution.}

Fifty cubic centimeters urine is added to 100mL diluent.give the dilution of the solution.what is the urine to total volume ratio?

Given two complex numbers "z" and "w" such that "z=(1+i)w+(3-i)\\overline{w}" , where "\\bar{w}" is the conjugate of "w" . Deduce what is "\\overline{w}" in terms of "z" and "\\overline{z}"

It is given that 

"z+2i=iz+\\lambda,\\quad\\quad" "\\frac{w}{z}=2+2i,\\quad\\quad" "\\mathrm{Im}w=8,"

where z and w are complex numbers, and λ is a real constant. Which of the following is the value of \lambdaλ?

λ=4

λ=8

λ=3

λ=−3

λ=−4

A complex number z satisfies the equation "z^{2}=3+4i."

Which of the following is true about "z" ?

1. "(3+4i)^{2}=25+24i"
2. "z=\\pm (2+i)"
3. "(3+4i)^{2}=9+40i"
4. "z=\\pm (2+2i)"
5. "(3+4i)^{2}=-7+ 24i"

Solve for the values of x for each of the following exponential equations and inequalities.

1. 82-2

2. () <=

3. 5* = 25-2

4. 3x+2 à ¢ ‰ ¥ 27

5. 43x 8-1

Spot the Similarity and Difference!

Below are three expressions. Observe them and spot their similarities and

differences. (a) 3-281

(b) y = 4

(c)2 à ¢ ‰ ¥ 32

as

Questions:

1. What is the similarity of (a), (b), and (c)?

2. What is the similarity of (a) and (c)?

3. How do (a) and (c) differ from (b)?

4. How are (a) and (b) similar to each other?

5. How do (a) and (b) differ from (c)? 6. Can you recall which among them is an exponential function?

7. Which among the three is/are exponential expression/s?