Questions in mathematics

Questions in mathematics

[Free] Find the period and amplitude of the function: [tex]y=-4 \cos \left(\frac{2 \pi}{3} x\right)[/tex] Give the exact values, not decimal approximations.

[Free] Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. [tex]\begin{array}{l} y+2.3=0.45 x \\ -2 y=4.2 x-7.8 \end{array}[/tex]

[Free] Find the amplitude, period, and phase shift of the function defined by each of the following equations, and sketch the graph of one complete period. (3.1) [tex]$y=4-2 \sin (x)$[/tex] (3.2) [tex]$y=\frac{1}{2} \cos \left(2 x-\frac{\pi}{3}\right)-1$[/tex]

[Free] \(\left(-2 k^3 \div q^4\right)^5 \quad\left(\left(\frac{1}{3}\) \left(c^5 \div f^6\right)\right)^2\)

[Free] [Clean the question above and then proceed with classification] $\frac{1}{6} + \frac{1}{4}$

[Free] 1. The data below shows the scores of students in a Mathematics test: 2, 5, 5, 4, 2, 3, 5, 3, 4, 5, 5, 2, 3, 1, 4, 1, 3, 3, 2, 5, 3, 2, 3, 4, 2, 3, 3, 5, 3, 1. Use the information to answer questions below. (a) Prepare a frequency table for the data; (b) If a pie chart of the information is drawn, calculate the sectoral angle representing each score. (c) What is the probability that a student chosen at random will score 4 and above?

[Free] Solve. [tex]w(w-6)=16[/tex]

[Free] A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi? A. [tex]m \leq 17[/tex] B. [tex]m \geq 17[/tex] C. [tex]m \leq 20.3[/tex] D. [tex]m \geq 20.3[/tex]

[Free] Of the money he spent on his trip, the following list shows items and expenses Christopher paid for before and during his trip, as well as whether the purchase took place in US dollars (USD), Singapore dollars (SGD), or Australian dollars (AUD). | Item | Cost | Currency | |--------------|---------|----------| | Camera | 139.54 | USD | | Ferry ticket | 525.15 | AUD | | Passport | 33.45 | USD | | Guide book | 62.99 | SGD | | Hat | 42.74 | SGD | | Plane ticket | 849.52 | AUD | When Christopher was on his trip, the exchange rate for US dollars to Singapore dollars was $1: 1.3914, and the exchange rate for Singapore dollars to Australian dollars was 1:0.7786. How much did Christopher spend in total, measured in US dollars? Round all currency values to two decimal places. A. $1,517.89 B. $1,526.19

[Free] Observe the pattern and complete the sequences below: 1. 15,638, 25,638, 35,638, 45,638, 55,638, 65,638 2. 29,536, 39,536, 49,536, 59,536, 69,536, 79,536