Questions in mathematics

Questions in mathematics

📝 Answered - Convert the unit of length. Use [tex]$1 m=100 cm$[/tex] and [tex]$1 m \approx 3.28 ft$[/tex]. Round the answer to one decimal place if necessary. [tex]$160 cm \approx \frac{\square}{\square} \cdot \frac{\square}{\square} \cdot \frac{\square}{\square} \approx \frac{5.2}{ft}$[/tex]

📝 Answered - In a class of 225 students, it was found that 110 students liked Mathematics, 115 students liked Science and 20 students liked none of the subjects. a. If M and S denote the set of students who liked Mathematics and Science respectively then write the cardinality of n(MUS) b. Represent the above information in a Venn-diagram. c. Compute the number of students who liked both the subjects. d. How many students liked at most one subjects?

📝 Answered - What is the quotient of $(x^3+8) \div(x+2)$? A. $x^2+2 x+4$ B. $x^2-2 x+4$ C. $x^2+4$ D. $x^2-4$

📝 Answered - Determine the domain and range of $y=\frac{3}{x+10}-8$.

📝 Answered - $3000 is deposited in an account with a $9\%$ interest rate, compounded continuously. What is the balance after 14 years? $F=\$[?]$ Round to the nearest cent.

📝 Answered - Which expression is the simplest form of $-(3x^3+x^2)+2(x^3-4x^2)$? A. $5x^3-8x^2$ B. $-x^3-9x^2$ C. $5x^3-7x^2$ D. $-x^3-3x^2$

📝 Answered - Calculate the simple interest and maturity value. Note: Do not round intermediate calculations. Round your answers to the nearest cent. | Principal | Interest rate | Time | |---|---|---| | $17,000 | 9 1/4 % | 18 months |

📝 Answered - Which set of numbers can represent the side lengths, in inches, of an acute triangle? A. 4, 5, 7 B. 5, 7, 8 C. 6, 7, 10 D. 7, 9, 12

📝 Answered - Solve $\sqrt{y+4}-1=4$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $y=$ $\square$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. There is no solution.

📝 Answered - Determine the θ-values for the points of intersection of the graphs of the polar curves r = 8 cos (θ) -2 and r = 6 cos (θ) over the interval [0, 2π). Enter an exact answer and separate multiple answers with commas, if necessary. If the origin is a point of intersection, do not include it in your answer.