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Home Question Bank Math Archive 2025 January 29

Math Questions from Jan 29,2025

Browse the Math Q&A Archive for Jan 29,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\[ \text{Find } 2011^2 - 2010^2 \text{?} \] Melissa is visiting Yellowstone National Park for the first time. At the shop near Old Faithful, she buys 5 postcards for \( \$ 0.65 \) each. At the shop in the Norris Geyser Basin, postcards also cost \( \$ 0.65 \). Melissa buys another 4 postcards there. How much money does Melissa spend on postcards? Solve for \( y \). \[ \begin{array}{l}x+y=6 \\ x=2\end{array} \] Simplify your answer as much as possible. Which expression is NOT equivalent to \( \frac{8 g+16}{2} ? \) \[ \begin{array}{l}\text { E. } 4 g+8 \\ \text { F. } 4 g+2 \\ \text { G. } 4 \cdot(g+2)\end{array} \] (c) The standard form of an equation of a line is \( \square \), where \( A \) and \( B \) are not both zero and \( C \) is a constant. Write the exponential function that describes the situation. The initial amount of the function is 16 , and then it decreases by a factor of \( \frac{2}{7} \) with each unit increase in \( x \). The function that describes the situation is \( \mathrm{y}=\square \). (Use integers or fractions for any numbers in the expression.) No. 33 If \( R_{1} \) represents the reflection on the line \( \mathrm{x}=0 \) and \( R_{2} \) represents the rotation through anti clockwise \( 90^{\circ} \), then which single transformation does the combine transformation \( R_{1} . R_{2} \). Also find the image of triangle \( P Q R \) with vertices \( P(2,4) \) \( Q(-1,2) \) and \( R(5,-1) \) under the combine transformation \( R_{1}, R_{2} \) and draw the object and its images on the same graph paper. Your bank will pay you an interest rate of . 162 percent per week. You want to have \( \$ 28,500 \) in 8 years. How much will you have to deposit today? Assume 52 weeks per year. a. \( \$ 14,728.36 \) b. \( \$ 26,199.29 \) c. \( \$ 14,922.50 \) d. \( \$ 14,857.55 \) o. \( \$ 14,534.56 \) \( \frac{2}{3} \) year \( =\square \) months 4. \( 144+6^{2} \cdot 8+2^{2} \)
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