Math Questions from Jan 17,2025

Browse the Math Q&A Archive for Jan 17,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the infinite sum of the geometric sequence with \( a_{1}=3 \) and \( r=\frac{8}{2} \), if it exists. If the infinite sum does not exist, enter "DNE". \[ S_{\infty}=\square \] Question Help: \( \square \) Video Submit Question Spencer had room for 16 rows of tomatoes and onions in his garden. He planted 3 rows of tomatoes for every 5 rows of onions. How many rows of onions did he plant? rows of onions Emma buys tickets for two plays. Tickets for the school play are \( \$ 15 \) each, and tickets for the community theater play are \( \$ 50 \) each. Emma purchases a total of 12 tickets. Let \( y \) represent the number of tickets Emma buys for the school play. How can you express the total cost of the tickets Emma buys for both plays? Find the infinite sum of the geometric sequence \[ 18+\frac{36}{5}+\frac{72}{25}+\frac{144}{125}+\ldots \] if it exists. If the infinite sum does not exist, enter "DNE". \[ S_{\infty}=\square \] Question Help: \( \square \) Video Submit Question c. \( \begin{array}{r}38765 \\ \times \quad 36 \\ \hline\end{array} \) 4. एक घनाभ है जिसके आयाम \( 4 \times 3 \times 3 \) सेमी हैं। आयाम \( 4 \times 3 \) के विपरीत फलक पीले रंग से रंगे गए हैं । अन्य आयाम \( 4 \times 3 \) के विपरीत फलक लाल रंग में रंगे ग्र है। आयाम \( 3 \times 3 \) के विपरीत फलक्क हरे रुम में रंगे गए हैं। अब घनाभ को 1 सेमी भुजा वाले छोटे घनों में काट दिया जाता है । कितने छोटे घनों के केवल दो फलक रंगीन होंगे ? iii) \( \frac{2^{p+1} \cdot 3^{2 p-q} \cdot 5^{p+q} \cdot 6^{q}}{6^{p} \cdot 10^{q+2} \cdot 15^{p}} \) 7) A library has two types of reading areas: small lounges that can accommodate 4 people each, and large lounges that can accommodate 12 people each. Write an equation that represents the number of small lounges \( s \) and large lounges \( l \) needed to accommodate a total of 100 people. Terminology: Thousand separators Decimal comma Decimal point THOUSAND SEPARATOR Groups of three are-made- FROM THE RIGHT e.g. 42551321 (NOT: 425513 21) - Spaces are now separating the thousands - Hence call "THOUSAND SEPARATOR". 1. Write the following numbers with a thousand separator: 1.12350988390 1.244590385058490 1.34284617 1.41234567890 1.553770905421667 2. Write the following amounts appearing on a bank statement with thousand separators: 2.1 R34098098,20 2.2 R8908,34 2.3 R1001001.20 2.4 R12344321,78 For BANKSTATEMENT: The decimal point takes the place of the comma and thousands are separated with comma. Rasulning vazni o'tgan yili 80 kg edi. Bu yil u 15 kg vazn yo'qotdi. Rasulning vazni necha foizga kamayganini toping.
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