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Home Question Bank Math Archive 2024 December 09

Math Questions from Dec 09,2024

Browse the Math 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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Identify any vertical asymptotes of the graph of \( y=\frac{(x+1)^{2}}{x^{2}-3 x-4} \) A. \( x=-4 \) and \( x=-1 \) B. \( x=-1 \) C. \( x=-1 \) and \( x=4 \) D. \( x=4 \) 2uestion Given \( \tan A=\frac{6}{5} \) and that angle Video \( A \) is in Quadrant I , find the exact value of \( \csc A \) in simplest radic using a rational denominator. Find an equivalent fraction 12 Write the unknown number \( 7 \times 8=7 \times(2 \times m) \) 8. \( \quad 4(x-6)^{2} \) Find the \( y \)-intercept and vertex for the following function: \( f(x)=4 x^{2}-6 x+c \) Express your answers in terms of \( c \) where appropriate. Kadesha is simplifying the expression below. \( -(x-3)-2(x-1) \) She lists the steps that she uses to simplify the expression as follows: Step 1: Distribute -1 through \( (x-3) \), and distribute -2 through \( (x-1) \). Step 2: Rewrite the expression as \( -x-3-2 x-2 \). Step 3: Combine \( -x \) and \( -2 x \), and combine -3 and -2 . Step 4: The simplified expression is \( -3 x-5 \). She made the first error in Step 1 because only -2 should be distributed through the parentheses. She made the first error in Step 2 because Step 2 should be \( -x+3-2 x+2 \). She made the first error in Step 3 because \( -x \) and \( -2 x \) cannot be combined. She made the first error in Step 4 because the simplified expression is \( -x-5 \). A data set includes 106 body temperatures of healthy adult humans having a mean of \( 98.9^{\circ} \mathrm{F} \) and a standard deviation of \( 0.63^{\circ} \mathrm{F} \). Construct a \( 99 \% \) confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of \( 98.6^{\circ} \mathrm{F} \) as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean \( \mu \) ? \( \square^{\circ} \mathrm{F}<\mu<\square^{\circ} \mathrm{F} \) (Round to three decimal places as needed.) \( d x \quad ( c ) \quad \int _ { - 1 } ^ { 1 } \frac { x } { \sqrt[ 2 ] { 4 - x ^ { 2 } } } d x \) 10. Arnie's car used 100 cups of gasoline during a drive. He paid \( \$ 3.12 \) per gallon for gas. How much did the gas cost?
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