Math Questions from Nov 26,2024

Browse the Math Q&A Archive for Nov 26,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The measures of two angles are \( 10 x+48 \) and \( 18 x-34 \). What is the value of \( x \) if the measures of the are equal? Select your answer If the hours of daylight in Miami can be approximated using a sinusoidal wave, what is the amplitude of the function if the shortest day in Miami is 10 hours and 52 minutes long and the longest day in Miami is 13 hours and 45 minutes long? \( \begin{array}{l}43 \\ \text { minutes } \\ 64 \\ \text { minutes } \\ 87 \\ \text { minutes } \\ 173 \\ \text { minutes }\end{array} \) \( \begin{array}{l}346 \\ \text { minutes }\end{array} \) Write the following rate as a simplified fraction. 68 dogs to 84 cats 33. Il perimetro di un decagono regolare è 200 cm . Calcola la misura del lato di un ha l'apotema congruente a quello del decagono. As the moon orbits the earth, the phases of the moon (the portion of the visible moon that is lit by the sun) change from full moon (100\% lit) to new moon (0\% lit) and then back to full moon. If the phases of the moon can be modeled using a sinusoidal function with a period of 29.5 days, how much time passes between a full moon and a new moon? m.4 days 14.8 days 22.1 days 29.5 days 59.0 days 11. \( a+b=60 \) \( a: b \) канчага барабар боло албайт? А) \( 1: 1 \) Б) \( 1: 2 \) В) \( 2: 3 \) Г) \( 3: 4 \) Д) \( 5: 7 \) Suppose that the functions \( f \) and \( g \) are defined for all real numbers \( x \) as follows. \[ \begin{array}{l}f(x)=x^{2} \\ g(x)=4 x^{3} \\ \text { Write the expressions for }(f-g)(x) \text { and }(f+g)(x) \text { and evaluate }(f \cdot g)(-1) \text {. } \\ (f+g)(x)=\square \\ (f \cdot g)(-1)=\square\end{array} \] Suppose that the functions \( f \) and \( g \) are defined for all real numbers \( x \) as follows. \( f(x)=x^{2} \) \( g(x)=4 x^{3} \) Write the expressions for \( (f-g)(x) \) and \( (f+g)(x) \) and evaluate \( (f \cdot g)(-1) \). \( (f+g)(x)=\square \) \( (f \cdot g)(-1)=\square \) \( \lim _{x \rightarrow-2} \frac{-6 x}{3 x+6}= \) con limites laterales Write the following ratio as a fraction in lowest terms. \[ 10 \text { to } 15 \]
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