Questions in mathematics

Questions in mathematics

📝 Answered - Emily is going to the bookstore. Paperback books cost $3.20 each and hardcover books cost $10.00 each. Which inequality best represents how many paperback books and how many hardcover books Emily can buy without spending more than $65? A. $5p + 10h \leq 65$ B. $3.50p + 10h \geq 65$ C. $4.50p + 10h = 45$ D. $3.20p + 10h \leq 65$

📝 Answered - What are the solutions to this equation? $\frac{3}{2 x-5}=x$ A. $x=-3$ and $x=0.5$ B. $x=-2$ and $x=2$ C. $x=-0.5$ and $x=3$ D. $x=-1$ and $x=-0.4$

📝 Answered - What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch. A. 14 in. B. 41 in. C. 21 in. D. 44 in.

📝 Answered - Solve the following logarithmic equation for [tex]$x$\\\log _z 81=4$[/tex] [tex]$x =81$[/tex] [tex]$x=9$[/tex] [tex]$x=4$[/tex] [tex]$x=3$[/tex] Use the given formula to determine the answer [tex]$R=\\log \\left(\frac{A}{A_0}\\right)$[/tex] An earthquake monitoring station measured the amplitude of the waves during a recent tremor. The waves were 10,000 times as large as [tex]$A_0$[/tex], the smallest detectable wave. How high did this earthquake measure on the Richter scale? 4 10,000 10 8 5

📝 Answered - The first step in the process for factoring the trinomial [tex]x^2-4 x-32[/tex] is to: A. find the sum of the factors of 32 B. list all the factors of 32 C. list all the factors of the 4 D. find the sum of the factors of 4

📝 Answered - Solve the equation: [tex]$\log _2(x)^0+\log _2(x-7)=3$[/tex] The solution is [tex]$x = \square$[/tex]

📝 Answered - Answer these questions. Preparing a personal budget is a great first step toward control over your personal finances. It is especially useful to prepare a budget when you face a big decision. For most people, the biggest decision they will ever make is whether to purchase a house. The percentage of people in the United States who own a home is high compared to many other countries. This is partially the result of U.S. government programs and incentives that encourage home ownership. For example, the interest on a home mortgage is tax-deductible, subject to some limitations. Before purchasing a house, you should first consider whether buying it is the best choice for you. Suppose you just graduated from college and are moving to a new community. Should you immediately buy a new home? YES: If I purchase a home, I am making my housing cost more like a “fixed cost,” thus minimizing increases in my future housing costs. Also, I benefit from the appreciation in my home’s value. Although recent turbulence in the economy has caused home prices in many communities to decline, I know that over the long term, home prices have increased across the country. NO: I just moved to a new town, so I don’t know the housing market. I am new to my job, so I don’t know whether I will like it or my new community. Also, if my job does go well, it is likely that my income will increase in the next few years, so I will able to afford a better house if I wait. Therefore, the flexibility provided by renting is very valuable to me at this point in my life.

📝 Answered - Which is equivalent to $\left(9^3-6^3\right)$? A. 45 B. 216 C. 513 D. 729

📝 Answered - Use the formula [tex]d=10 \log \left(\frac{P}{P_0}\right)[/tex] to find the answer to the nearest hundredth. A whisper has a rating of 30 decibels. A normal conversation has a rating of about 64 decibels. How many times stronger is a normal conversation? If [tex]9^x=243[/tex], what is the value of [tex]x[/tex]?

📝 Answered - Apply the formula for the area of a region in polar coordinates. Determine a definite integral that represents the area of the region in the fourth quadrant enclosed by [tex]$r=5-\sin (\theta)$[/tex]. Enter your answer with limits of integration in [tex]$0 \leq \theta \leq 2 \pi$[/tex].