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Questions in mathematics

📝 Answered - Year 7A3 - Homework By rounding to 1 significant figure, estimate the answers to these questions: a) $76 \times 23$ b) $297 \times 589$ c) $715 \times 283$

📝 Answered - Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function. [tex]H(x)=\frac{x^3-27}{x^2-7 x+12}[/tex]

📝 Answered - Hector is on a trip to Japan. The table below outlines some of the fun things he would like to see and do while on his trip, as well as their estimated costs, either in US dollars ($) or Japanese yen (¥). Hector has $575 budgeted for expenses like this. | Item | Cost | Currency | | ------------------------ | ------- | -------- | | Kabuki performance | 74.95 | $ | | Kaiseki dinner | 8,745 | ¥ | | Shopping at Akihabara | 262.49 | $ | | Onsen visit | 6,811 | ¥ | | Museum visit | 2,423 | ¥ | Hector would also like to see a professional sumo tournament while he is there, which would cost him ¥5,488. If the conversion rate of US dollars to Japanese yen is 1:94.153 at the time of Hector's trip, how will this affect his budget? A. Hector can see the sumo tournament and have about $322 left over. B. Hector can see the sumo tournament and have about $86 left over. C. Hector has exactly enough left in his budget to see the sumo tournament. D. Hector cannot afford to see the sumo tournament, because it would put him over budget by...

📝 Answered - What is the simplified form of the following expression? [tex]$2 \sqrt{18}+3 \sqrt{2}+\sqrt{162}$[/tex]

📝 Answered - A quadrilateral is shown with the following angles: Angle D = 98 degrees, Angle C = 90 degrees, Angle B = 69 degrees. Find the measure of Angle A.

📝 Answered - $y=x \cdot e^{\frac{x}{10}}$

📝 Answered - What is the equation of the line that is parallel to the given line and passes through the given point? $y=-2$ $x=-2$ $y=-4$ $x=-4$

📝 Answered - $\log _{64} \frac{1}{4}=$

📝 Answered - Simplify the following expression: [tex]$a \times -a s + 2 + \frac{13}{8} \times (-98) - 1 + |-48| =$[/tex]

📝 Answered - What is $y^2-3 y-18$ in factored form?