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Questions in mathematics

📝 Answered - If a sports shop sold 1,500 dozen golf balls last week, how many individual golf balls did the shop sell?

📝 Answered - What is the main difference between population mean and sample mean? A. Population mean uses a smaller dataset, while sample mean uses a larger dataset. B. Population mean considers the entire dataset, while sample mean is calculated from a subset of the dataset. C. Population mean is always larger than the sample mean. D. Sample mean is calculated only for qualitative data

📝 Answered - Use a software program or a graphing utility with matrix capabilities to write [tex]$v$[/tex] as a linear combination of [tex]$u_1, u_2, u_3, u_4$[/tex], and [tex]$u_5$[/tex]. Then verify your solution. (Enter your answer in terms of [tex]$u_1, u_2, u_3, u_4$[/tex], and [tex]$u_5$[/tex].) [tex]$\begin{array}{l} v =(5,3,-11,11,9) \ u _1=(1,2,-3,4,-1) \ u _2=(1,2,0,2,1) \ u _3=(0,1,1,1,-4) \ u _4=(2,1,-1,2,1) \ u _5=(0,2,2,-1,-1) \end{array}$[/tex] [tex]$v=$[/tex]

📝 Answered - Which expression is equivalent to $\left(\frac{125^2}{125^{\frac{4}{3}}}\right)$? A. $\frac{1}{25}$ B. $\frac{1}{10}$ C. 10 D. 25

📝 Answered - A line has a gradient of [tex]$\frac{1}{3}$[/tex] and a [tex]$y$[/tex]-intercept of 2. Its equation will be

📝 Answered - Listen Three students converted fractions to percents. Their results are in this table. | Student | Fraction | Percent | |---|---|---| | Gavin | $2 / 5$ | $40 \%$ | | Taylor | $21 / 4$ | $225 \%$ | | Brent | $7 / 4$ | $17.5 \%$ | Which statement is true? A. Only Taylor has a correct answer. B. Only Gavin has a correct answer. C. Gavin and Brent have correct answers. D. Gavin and Taylor have correct answers.

📝 Answered - Solve the system of linear equations by graphing. [tex] \begin{array}{l} y=-\frac{5}{2} x-7 \\ x+2 y=4 \end{array} [/tex] What is the solution to the system of linear equations? A. (-4.5, 4.25) B. (0,-7) C. (-1.7,-2.8) D. (3, 0.5)

📝 Answered - Given the equation [tex]F=\frac{9}{5} C+32[/tex] where [tex]C[/tex] is the temperature in degrees Celsius and [tex]F[/tex] is the corresponding temperature in degrees Fahrenheit, and the following ordered pairs: [tex]\left(-10, F_1\right) \cdot\left(10, F_2\right)[/tex] Step 2 of 2: Plot the resulting set of ordered pairs using your answers from Step 1.

📝 Answered - Using laws of indices, simplify the following: (a) $3 x^4 \times x^2$

📝 Answered - Factor the quadratic $x^2+1x-12$. List ONLY ONE of the factors with parentheses and no spaces. Example: $(x+1)$