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Hogar Banco de preguntas Matemáticas Preálgebra Archive 2024 December 20

Pre-algebra Questions from Dec 20,2024

Browse the Pre-algebra Q&A Archive for Dec 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Calcular: \( \frac{15!\times 6!}{7!\times 13!\times 3!} \) Find the sum of the following geometric series: \( 8+1.6+0.32+0.064+\ldots \) 018 015 112 10 Find the sum of the first 10 terme of the following geometric sequences: \( (1.5,3,6,12,24 \ldots) \) 1534.5 1526.0 1532.0 1528.5 If the first a terms of an infinite geometric sequence ore \( 90,22.5 \), and 5.625 , then the sum of all the terms in the sequence is \( \begin{array}{ll}\text { b.) } 300 \\ \text { b.) } 118 \\ \text { c.) } 120 \\ \text { d.) } 360\end{array} \) It took Fred 12 hours to travel over pack ice from one town in the Arctic to another town 360 miles away. During the roturn journey, it took him 15 hours. Assume the pack ice was drifting at a constant rate, and that Fred's snowmobile was traveling at a constant speed relative to the pack ice. What was the speed of Fred's snowmobile? 10 miles per hour 3 miles per hour 27 miles per hour 30 miles per hour When reaching mile marker 6 on the trail, Randy uses his GPS to find that his current elevation is 6220 feet. If he follows the trail until its end at mile marker 13 , his elevation will be 8390 feet. What is the average change in elevation of Randy's position from mile marker 6 to mile marker 13, in feet per mile marker? a.) 310 feet per mile marker b.) 362 feet per mile marker c.) 167 feet per mile marker d.) 271 feet per mile marker What is this number in standard form? \( (1 \times 1,000)+(3 \times 10)+\left(6 \times \frac{1}{10}\right) \) Enter your answer in the box. Evaluate and simplify the sum: \( \sqrt{72} + 2\sqrt{18} - \sqrt{8} \) Consider the sequence \( a_{n} \) whose terms are \( \{20,17,14,11,8,5,2 \ldots\} \). What is the value of \( \sum_{n=3}^{6} a_{n} \) ? a.) 75 b.) 77 c.) 38 d.) 24 If the formula for an arithmetic sequence is \( a_{n}=11+6(n-1) \), then what term in the sequence is the value 107 ? a.) 15 th term b.) 16 th term c.) 17 th term d.) 18 th term
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