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Mathematics Questions & Answers

Q:
Colin walked a distance of 15 miles in 6 hours. Work out Colin's average speed. Give your answer in miles per hour.
Q:
б) \( x^{2}-0,01=0,03 \)
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\( \int _ { - 2 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 } - x ^ { 2 } } ( x ^ { 2 } + y ^ { 2 } ) ^ { \frac { 3 } { 2 } } d y d x \)
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1.3.1 Bereken die gemiddelde aantal huishoudings in Suid-Afrika wat gedurende 2022 nie toegang tot die internet gehad het nie.
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Question Use Newton's method to approximate the solution to the equation \( 9 \ln (x)=-6 x+8 \). Use \( x_{0}=3 \) as your starting value to find the approximation \( x_{2} \) rounded to the nearest thousandth. Provide your answer below: \[ \] \( x_{2} \approx \square \)
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: a) \( x^{2}=169 \)
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\begin{tabular}{r|l} & \( \begin{array}{r}\text { The system has no solution. } \\ \text { System B } \\ 2 x+y=6\end{array} \) \\ \( \begin{aligned} \\ -2 x-y+6=0\end{aligned} \) & \( \begin{array}{r}\text { The system has a unique solution: } \\ \text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: } \\ y=\square\end{array} \)\end{tabular}
Q:
A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent the costs of \( 1,2,3,4 \), and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote. Show your work.
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System B \( 2 x+y=6 \) \( -2 x-y+6=0 \)
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8. \( [5-68 . c] \quad \) Write the explicit rule and determine the 100 th term for the given sequence. \( \quad 24,19,14, \ldots \)
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