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Home Question Bank Math Archive 2025 February 28

Math Questions from Feb 28,2025

Browse the Math Q&A Archive for Feb 28,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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cylinder has a height of 9 centimeters and a iameter of 8 centimeters. What is its volume? se \( \pi \approx 3.14 \) and round your answer to the earest hundredth. \( \square \) cubic centimeters Question 10 Use algebra to find the point at which the line \( h(x)=\frac{2}{5} x+\frac{17}{30} \) intersects the line \( f(x)=\frac{9}{2} x+\frac{481}{24} \). Write the values of \( x \) and \( y \) as reduced fractions or integers. \( x=\square \) \( y=\square \) Question Help: D Post to formm Submit Question b. \( -3\left\{(-7+5)+\left[10+\sqrt{16}+(-5)^{2}\right]-(-4)\right\} \div[(9+4)-2(5)]-\left[(\sqrt{9})^{3} \div \log _{7} 49\right. \) Para quais valores da constante \( c \) a funço \( f(x)=\left\{\begin{array}{ll}c x+2, & \text { se } x<0 \\ x^{2}+c-3, & \text { se } x \geq 0\end{array}\right. \) e contínua? Justifique sua resposta. Determine \( f(x) \) si \( f \) es una función lineal que tiene las propiedades dadas. \( f(-1)=1, f(2)=10 \) \( f(x)=\square \) (Simplifique su respuesta). 18. \( \int \operatorname{sen}^{2} \frac{x}{4} \cos ^{2} \frac{x}{4} d x \) 19. \( \int \operatorname{sen} 4 x \cdot \cos 3 x d x \) 20. \( \int \operatorname{sen} 3 x \cdot \cos 5 x d x \) 21. \( \int \cos x \cdot \cos 7 x d x \) Can 328 be evenly divided by 8 ? Circle: 328 is evenly divisible by 8 328 is NOT evenly divisible by 8 Comprende una diferencia de cuadrados, factorizando como producto de binomios conjugados y encuentra su respuesta de la siguiente ecuación cuadrática. Ecuación cuadrática \( b^{2}-9= \) A. \( b^{2}+9 b+9 \) B. \( (b+3)(b-3) \) C. \( (b-3)(b-3) \) D. \( (b+3)(b+3) \) El cuadrado de la edad de Gabriel, más su triple, es igual a 54 años, ¿cuál es la expresión algebraica? A. \( x^{2}-3 x=54 \) B. \( x^{2}+3 x+54=0 \) C. \( x^{2}+3 x=54 \) D. \( x^{2}+3 x=-54 \) 2. The value of an autographed baseball card increased from \( \$ 39 \) to \( \$ 65 \). What is the percent increase in value of the baseball card, to the nearest percent?
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