Pre-algebra Questions from Dec 07,2024

Browse the Pre-algebra Q&A Archive for Dec 07,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\[ 3,-6,12,-24, \ldots \] The sum of the first 14 terms of the geometric sequence is (Simplify your answer.) Write each of the following series in sigma notation: \( \begin{array}{ll}\text { (a) } 2+4+6+8+10+12 & \text { (b) } 1+8+27+64+125\end{array} \) 2) Give the domain and range of the relation Determine whether or not the relation is a function. \[ (1,8),(2,7),(0,6) \text { and }(2,5) \] Domain: Range: एक विलयन को \( 68^{\circ} \mathrm{F} \) और \( 77^{\circ} \mathrm{F} \) के मध्य रखना है। सेल्सिस पैमाने पर विलयन के तापमान का परिसर ज्ञात कीजिए, जहाँ सेल्सियस फारेनहाइट परिवर्तन सूत्र \( \mathrm{F}=\frac{9}{5} \mathrm{C}+32 \) है। If \( \log 5=0.6990, \log 7=0.8451 \) and \( \log 8=0.9031 \), evaluate \( \log \left(\frac{35 \times 49}{40 \div 56}\right) \) 16. Work out the \( n \)th term rule for the sequence. \[ 3,6,11,18,27,38, \ldots \] Evalúie \( f(-3) \) en la siguiente función definida a trozos. \( f(x)=\left\{\begin{array}{ll}x^{2}+2 & \text { si } x<0 \\ x & \text { si } x \geqslant 0\end{array}\right. \) Evaluate. \[ \frac{2!7!}{4!8!} \] Simplify your answer as much as possible. Evaluate. \[ \begin{array}{l}\frac{6!4!}{5!2!} \\ \text { Simplify your answer as much as possible. }\end{array} \text {. } \] Factorial expressions Evaluate. \[ \frac{6!7!}{4!9!} \] Simplify your answer as much as possi
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