Questions in mathematics

Questions in mathematics

📝 Answered - Activity 1 1. State whether each of the following symbolic statements is true $(T)$ or false $(F)$. If the statement is true $(T)$, state the property/law that was applied. For any three numbers $\otimes, \oplus$ and $\otimes$. (a) $\otimes+\nabla=\nabla+$ (b) $\Delta+\Delta \Delta=\Delta \Delta+\Delta$ (c) $\nabla+(\otimes)+\otimes)=(\nabla+\otimes)+$ (d) $\hat{\theta} \times \vec{\nabla}=\vec{\theta}$ (e) $\nabla \times(\vec{\nabla} \times \otimes)=(\nabla \times \otimes) \times$ (f) $(\boxtimes \nabla \times \nabla) \times \otimes=\otimes \times(\nabla+\otimes)$

📝 Answered - Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she expects it will cost her (between transportation, admission, souvenirs, and so on) to see each one. The prices are listed in either US dollars ($) or euros (€). Kari has a budget of $585 set aside for sightseeing. | Item | Cost | Currency | | ------------------- | ------ | -------- | | Tour of the Vatican | 68.77 | € | | Tour of Rome | 95.41 | € | | Tour of Naples | 71.06 | $ | | Tour of Venice | 113.38 | $ | | Tour of Milan | 49.69 | € | She would also like to tour Genoa as well, which would cost her 660.85. If the conversion rate of US dollars to euros at the time of Kari's visit is 1:0.6859, how will this affect her budget? Round all dollar values to the nearest cent. a. Kari can see Genoa and have $60.33 left in her budget. b. Kari can see Genoa and have $41.38 left in her budget. c. Kari has almost exactly enough left in her budget to see Genoa. d. Kari cannot afford to see Genoa, because it would put her $84.48 over budget.

📝 Answered - From the equation, find the axis of symmetry of the parabola. $y=2 x^2+4 x-1$ A. $x=3$ B. $x=-1$ C. $x=-3$ D. $x=1$

📝 Answered - Jace gathered the data in the table. He found the approximate line of best fit to be [tex]y=-0.7 x+2.36[/tex]. | x | y | |---|---| | 0 | 3 | | 1 | 1 | | 4 | 0 | | 5 | -2 | | 7 | -2 | What is the residual value when [tex]x=5[/tex]? A. -3.14 B. -0.86 C. 0.86 D. 3.14

📝 Answered - Write the following fractions in ascending order: (i) [tex]\frac{25}{36}[/tex], [tex]\frac{5}{9}[/tex], [tex]\frac{2}{3}[/tex], [tex]\frac{5}{6}[/tex] (ii) [tex]\frac{2}{5}[/tex], [tex]\frac{7}{15}[/tex], [tex]\frac{9}{10}[/tex], [tex]\frac{17}{20}[/tex]

📝 Answered - Complete the table: | Hindu-Arabic Numerals | Roman Numerals | Hindu-Arabic Numerals | Roman Numerals | |---|---|---|---| | 1 | I | 26 | XXVI | | 2 | II | | | | 3 | III | | | | 4 | IV | | | | 5 | V | | | | 6 | | | | | | | | XXXIII | | 10 | X | | | | | XVIII | | | | | | 41 | | | 25 | | 50 | |

📝 Answered - Solve the following by converting grams to kilograms: 1) 5,250 grams = kilograms 2) 120 grams = kilograms

📝 Answered - 24 x 8 35 x 8 46 x 8 57 x 8 58 x 8 79 x 8 42 x 8 53 x 8 64 x 8 75 x 8 86 x 8 97 x 8

📝 Answered - K = \int (1 - \cos x)^2 \, dx

📝 Answered - What is the simplified value of the expression below? $4.2+0.6 \div 3-5(0.9-0.5)$