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+ 0.05t = (1.04)^t - Imagemakers

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 Division: \(135 ÷ 3 = 45\), und 3 ist eine Primzahl.

📌 Daher ist der kleinste Primfaktor von 135 \(\boxed{3}\).

📌 Frage: Wie viele positive fünfstellige Zahlen sind durch 13 teilbar?

📌 Lösung: Die kleinste fünfstellige Zahl ist 10000 und die größte ist 99999.

📌 Finde die kleinste fünfstellige Zahl, die durch 13 teilbar ist: \(10000 ÷ 13 ≈ 769.23\), also ist das nächste ganze Vielfache \(770 × 13 = 10010\).

📌 Finde die größte fünfstellige Zahl, die durch 13 teilbar ist: \(99999 ÷ 13 ≈ 7692.23\), also ist das vorherige ganze Vielfache \(7692 × 13 = 99996\).

📌 Die Anzahl der Terme in dieser arithmetischen Folge ist \(\frac{99996 - 10010}{13} + 1 = \frac{89986}{13} + 1 = 6922 + 1 = 6923\).

📌 Es gibt \(\boxed{6923}\) positive fünfstellige Zahlen, die durch 13 teilbar sind.

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+ m = 7 \implies m = 10.
Question: A virologist studies the replication rate of a virus using t...
Solution: Compute $ g(2) $ and $ f(2) $:
g(2) = (2)^2 - 4(2) + 3m = 4 - 8 + 3m = -4 + 3m,
f(2) = (2)^2 - 4(2) + m = 4 - 8 + m = -4 + m.
+ 3m = -4 + m \implies 2m = 0 \implies m = 0.
Question: A linguist analyzes the frequency of a linguistic pattern wi...
Solution: Substitute $ x = 5 $ into $ h(x) $:
h(5) = (5)^2 - 2(5) + m = 25 - 10 + m = 15 + m.
Set this equal to 12:

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