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Home Question Bank Math Archive 2024 December 23

Math Questions from Dec 23,2024

Browse the Math Q&A Archive for Dec 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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T 5 - Mathematical Knowledge If a right triangle has one side that measures 5 cm and a hypotenuse that measures \( 5 \sqrt{2} \mathrm{~cm} \), what is the measure of the other side? A 5 cm B 25 cm C \( 5 \sqrt{3} \mathrm{~cm} \) D \( 10 \sqrt{2} \mathrm{~cm} \) Click the button or type the letter to the left of your answer. RT 5 - Mathematical Knowledge What is a circle's diameter if its area is \( 25 \pi \) square inches? A 5 inches B 10 inches C 25 inches D 50 inches Click the button or type the letter to the left of your an PART 5 - Mathematical Knowledge \[ \begin{array}{l} \text { Factor: } a^{3}+b^{3} \\ \text { A }(a+b)\left(a^{2}-a b+b^{2}\right) \\ B(a+b)\left(a^{2}-a b-b^{2}\right) \\ C(a-b)\left(a^{2}+a b-b^{2}\right) \\ D(a+b)(a+b)(a+b)\end{array} \] 5 - Mathematical Knowledge What is the volume of a right circular cylinder that has a diameter of 6 meters and a height of 10 meters? A \( 60 \pi \) B \( 90 \pi \) C \( 120 \pi \) D \( 360 \pi \) RT 5 - Mathematical Knowledge If \( x \) lies between 1 and 2, but does not equal 1 or 2, which of these statements is true? A \( \quad 1<\mathrm{x}+1<2 \) B \( \quad 1<\mathrm{x}-1<2 \) C \( -1<2-\mathrm{x}<1 \) D \( -1<3-2 \mathrm{x}<1 \) Click the button or type the letter to the left of your answer. - Mathematical Knowledge What is \( -3 x+1 \) subtracted from \( 3 x-1 \) ? \( \begin{array}{l}\text { A } 6 x-2 \\ \text { B }-2 \\ \text { C } 6 x \\ \text { D }-6 x+2\end{array} \) \( \log _{6} 36+\log _{3} 27= \) A \( \quad 5 \) B \( \quad 7 \) C 15 D 21 Simplify: \( e^{a x} \cdot e^{-a x}-e^{2 a x} \) A \( e^{-2 a x} \) B \( e-e^{2 a x} \) C \( 1-e^{2 a x} \) D \( e^{-2 a 2 x}-e^{2 a x} \) Click the button or type t \( \begin{array}{lr}\text { 5. Un tanque cilíndrico con } 5 \mathrm{~m} \text { de radio se está llenando con } & \text { ¿C } \\ \text { agua a razón de } 3 \mathrm{~cm}^{3} / \mathrm{min} \text {. ¿Qué tan rápido se incrementa la } & \text { aut } \\ \text { altura de agua? } & \text { 16. Un }\end{array} \) ART 5 - Mathematical Knowledge Simplify: \( \left(\frac{2 x^{2}+5 x+2}{x+1}\right)\left(\frac{x^{2}-1}{x+2}\right) \) A \( 2 x^{2}-x-1 \) B \( 2 x^{2}-x-6 \)
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