Learning Materials
Features
Discover
Chapter 1: Problem 5
For \(i=\sqrt{-1}\), which of the following complex numbers is equivalent to \(\left(10 i-4 i^2\right)-(7-3 i) ?\) A) \(-11+7 i\) B) \(-3+13 i\) C) \(3-13 i\) D) \(11-7 i\)
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
The graph of a line in the \(x y\)-plane passes through the point \((-2, k)\) and crosses the \(x\)-axis at the point \((-4,0)\). The line crosses the \(y\)-axis at the point \((0,12)\). What is the value of \(k\) ? $$ 5\left(10 x^2-300\right)+\left(9,844+50 x^2\right) $$
The economy of Argentina as measured by its Gross Domestic Product (GDP) is shrinking at a rate of \(2.6 \%\) per year. In 2015 , the GDP of Argentina was \(\$ 630\) billion. Which of the following functions represents Argentina's GDP, \(A\), in billions of dollars, \(y\) years since \(2015 ?\) A) \(A(y)=630-(1-0.26) y\) B) \(A(y)=630(1-0.26)^y\) C) \(A(y)=630-(1-0.026) y\) D) \(A(y)=630(1-0.026)^y\)
A psychology student randomly selected 300 people from a group of people who indicated that they preferred to work alone. Those 300 people were given a task to work on individually and then asked whether they were happy or unhappy while doing the task. Of those surveyed, \(5 \%\) stated they were unhappy while doing the task. Which of the following inferences can appropriately be drawn from this survey result? A) Few people who prefer working alone will be unhappy doing this task. B) Few people who do not prefer working alone will be happy doing this task. C) Less than \(5 \%\) of people will be happy doing this task if they do not work alone. D) Less than \(5 \%\) of people will be unhappy doing this task if they work alone.
A homeowners' association limits the dimensions of the pools that it will allow in a particular subdivision. The bylaws state that permits will only be granted for pools shaped like rectangular prisms, for which the sum of the length of the pool and the perimeter of the vertical side containing the ladder cannot exceed 200 meters. The perimeter of the ladder side is determined using the width and the depth of the pool. If a pool has a length of 75 meters and its width is \(1.5\) times its depth, which of the following shows the allowable depth \(a\), in meters, of the pool? A) \(0
Heinrich must buy at least 100 shares of stock for his portfolio. The shares he buys will be from Stock \(X\), which costs \(\$ 22\) per share and Stock \(Y\), which costs \(\$ 35\) per share. His budget for buying stock is no more than \(\$ 4,500\). He must buy at least 20 shares of Stock \(X\) and 15 shares of Stock Y. Which of the following represents the situation described if \(a\) is the number of shares of Stock X purchased and \(b\) is the number of shares of Stock \(Y\) purchased? A) \(\begin{aligned} & 22 a+35 b \leq \\ & a+b \geq 100 \\ & a \leq 20 \\ & b \leq 15\end{aligned}\) B) \(22 a+35 b \leq 4,500\) \(a+b \leq 100\) \(a \leq 20\) \(b \leq 15\) C) \(22 a+35 b \leq 4,500\) \(a+b \leq 100\) \(a \geq 20\) \(b \geq 15\) D) \(22 a+35 b \leq 4,500\) \(a+b \geq 100\) \(a \geq 20\) \(b \geq 15\) $$ x^2-8 x+5 $$
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App