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Home Question Bank Math Archive 2024 December 12

Math Questions from Dec 12,2024

Browse the Math Q&A Archive for Dec 12,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Zendaya has a part-time job at an ice skating rink selling hot cocoa. She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit. What does the slope of the line represent? Look at the replacement set below. \[ \{0,4,5,13\} \] Which number from the replacement set is \( a^{\text {don }} \) solution of the inequality \( 8 \geq 5+x \) ? \( \begin{array}{llll}\text { A. } 0 & \text { B. } 4 & \text { C. } 5 & \text { D. } 13\end{array} \) Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label key points. Show at least two periods. \( y=6 \) cos \( \left(2 x-\frac{\pi}{2}\right) \) What is the amplitude? (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.) What is the period? \( \square \) (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.) What is the phase shift? \( \square \) The population of Sasquatch in Salt Lake County was modeled by the function \( P(t)=\frac{400 t}{t+40} \), where \( t=0 \) represents the year 1803 . When were there fewer than 200 Sasquatch in Salt Lake County? Present your answer, to the nearest whole year, in interval notation. There were fewer than 200 Sasquatch in Salt Lake City between the years Write an expression to match, and then evaluate a. \( \frac{1}{6} \) the sum of 16 and 20 Fabian's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. What does the slope of the line represent? 1. If \( f(x)=5 x \) and \( g(x)=x-3 \), what is the value of \( f(3)-g(4) ? \) The scatter plot and line of best fit below show the length of 12 people's femur (the long leg bone in the thigh) and their height in centimeters. W is the meaning of the \( y \)-value on the line when \( x=40 \) ? Solve for \( z \) \[ \begin{array}{l}3 z=24 \\ z=\square\end{array} \] Maria bought g gallons of gasoline for \( \$ 3.55 \) per gallon and c cans of oil for \( \$ 4.15 \) per can. a. What expression can be used to determine the total amount Maria spent on gasoline and oil? b. If she bought 6.4 gallons of gasoline and 7 cans of oil, how much did she spend in all? A. \( 3.55 \mathrm{~g} \cdot 4.15 \mathrm{c} \) B. \( 3.55 \mathrm{c}+4.15 \mathrm{~g} \) C. \( 3.55 \mathrm{~g}+4.15 \mathrm{c} \) b. \( 3.55 \mathrm{c} \cdot 4.15 \mathrm{~g} \) Maria spent \( \$ \square \) in all. (Round to the nearest cent as needed.)
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