Questions in mathematics

Questions in mathematics

[Free] Select the correct answer. What is the solution to this inequality? [tex]$3\left(\frac{1}{4}\right)^{x+1}\ \textless \ 192$[/tex] A. [tex]$x\ \textgreater \ -4$[/tex] B. [tex]$x\ \textless \ 6$[/tex] C. [tex]$x\ \textless \ 4$[/tex] D. [tex]$x\ \textgreater \ -6$[/tex]

[Free] Value: 3 Solve the system: [tex]\begin{array}{l} y=-3 x \ x+y=4\end{array}[/tex] a. (-2,6) b. (-4,12) c. (-1,3) d. (1,-3)

[Free] Which step has an incorrect instruction? | | | | | :-- | :----------------------------------------- | :------------------------------------ | | 2 | Simplify by combining like terms. | [tex]$\frac{5}{2}+x=\frac{7}{4}$[/tex] | | 3 | Use the addition property of equality. | [tex]$\frac{5}{2}+\frac{5}{2}+x=\frac{7}{4}+\frac{5}{2}$[/tex] | | 4 | Use multiplication to find equivalent fractions. | [tex]$\frac{5}{2}+x=\frac{7}{4}+\frac{10}{4}$[/tex] | | 5 | Simplify by combining like terms. | [tex]$x=\frac{3}{4}$[/tex] | A. Step 1 B. Step 2 C. Step 3 D. Step 4

[Free] Select the correct answer. A scientist has a 120 mg sample of an unstable isotope. The amount of the substance remaining in the sample decreases at a rate of $16 \%$ each day. At the end of $t$ days, there is less than 30 mg of the substance remaining. Which inequality represents this situation, and after how many days will the sample size remaining be less than 30 mg? A. $120(0.984)^t<30 ; t=86$ days B. $120(0.84)^t<30 ; t=7$ days C. $120(0.84)^t<30 ; t=8$ days D. $120(0.984)^t<30 ; t=87$ days

[Free] Which fractions have 24 as the LCD (lowest common denominator)? $\frac{7}{9}$ $\frac{1}{8}$ $\frac{3}{7}$ $\frac{4}{5}$ $\frac{5}{6}$

[Free] What percent of: (a) 25 is 5? (b) Rs. 75 is Rs. 150?

[Free] Carlos wrote a check for $44.92 to pay his gas bill. He will use the check register to record his transaction. What will be his new balance? | Check number | Date | Description of Transaction | (-) Debit | \checkmark | (+) Deposits | Balance | |--------------|--------|------------------------------|-----------|------------|--------------|---------| | | | Beginning Balance | | | | 418.95 | | 457 | 5/12 | Water Bill | 28.94 | | | 390.01 | | | 5/14 | Cash gift | | | 25.00 | 415.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | A. $345.09 B. $370.09

[Free] Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. [tex]y=x^2+2 x+2[/tex] A. D: all real numbers R: [tex](y \leq 2)[/tex] B. D : all real numbers R :[tex](y \leq 1)[/tex] C. D: [tex](x \geq 1)[/tex] R: [tex](y \geq 2)[/tex] D. D : all real numbers R: [tex](y \geq 1)[/tex] Please select the best answer from the choices provided

[Free] Value of cos 106° is: (1) \(\frac{7}{25}\) (2) \(-\frac{7}{25}\) (3) \(\frac{24}{25}\) (4) \(-\frac{24}{25}\)

[Free] Doroshana, Hemant, and Rupesh got different answers for this problem: 1 - 10 - 3{-10 + 2} - 4 Doroshana's answer was 1, Hemant's answer was -29, and Rupesh's answer was 21. Which student had the correct answer? Show and explain how the other two students got their answers. What errors did they make?