Pre-algebra Questions from Dec 09,2024

Browse the Pre-algebra Q&A Archive for Dec 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Write the logarithmic expression as a single logarithm with coefficient 1 , and simplify as much as possible. Assume that all variable expressions represent positive real numbers. \[ 5[\ln x-\ln (x+9)-\ln (x-9)]=\square \] - Write the logarithmic expression as a single logarithm with coefficient 1 , and simplify as much as possible. Assume that all variable expressions represent positive real numbers. \[ 5[\ln x-\ln (x+9)-\ln (x-9)]= \] Use the definition of exponents as indicating repeated multiplication to simplify: \( 29^{0}=\square \) The graph of a function \( f \) is given. Use the graph to find the indicated value. \( f^{-1}(3) \) The circumference of a circle is given by the formula \( C=\$ \pi r \). Find \( r \) if the circumference is 43.96 meters and \( \pi \) is 3.14 . The radius, \( r \), is \( \square \) meters. Write the logarithm as a sum or difference of logarithms, Simplify each term as much as possible, Assume that the variables represent positive real number \( \ln \left(\frac{\sqrt[5]{r s}}{4 v}\right)=\square \) * 3. The ratio of hours that the power is on to the hours that the power is (45) off is 5 to 7 . If there are 720 hours in the month, how many hours is the power on? * 1. Analyze The ratio of house finches to goldfinches is 7 to 3 . If there are \( { }^{45)} 80 \) in all, how many goldfinches are there? Select all of the inequalities that are true. \[ 9 \times \frac{4}{15}<9 \quad 9 \times \frac{16}{5}>9 \quad 9 \times 2 \frac{1}{3}<9 \quad 9 \frac{7}{8}>9 \] The number \( a \) is rational and positive. Which statement about \( a \cdot \pi \) is true \( a \cdot \pi \) is rational. \( a \cdot \pi \) is irrational. \( a \cdot \pi \) can be rational or irrational, depending on the value of \( a \).
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