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Mathematics Questions & Answers

Q:
Suppose that \( y \) varies directly with \( x \), and \( y=20 \) when \( x=16 \). (a) Write a direct variation equation that relates \( x \) and \( y \), Fquation: \( \square \) (b) Find \( y \) when \( x=5 \). \[ y=\square \]
Q:
Solve. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) \[ \sqrt[3]{7 x-10}=\sqrt[3]{2 x+10} \] \( x=\square \)
Q:
Which product is equal to \( 5^{6} \) ? \( 5^{3} \cdot 5^{3} 5^{7} \cdot 5^{1} 5^{8} \cdot 5^{2} 5^{2} \cdot 5^{3} \)
Q:
Evaluate, \( 2 \div \frac{1}{3}= \)
Q:
\( \int _ { 0 } ^ { 3 \pi / 2 } x \sin x d x = \square \)
Q:
Suppose that \( y \) varies directly with \( x \), and \( y=3 \) when \( x=24 \). (a) Write a direct variation equation that relates \( x \) and \( y \), Equation: \( \square \) (b) Find \( y \) when \( x=32 \).
Q:
Solve the given system of linear equations. Enter your answer as a point (or ordered pair of numbers) in the form of \( (x, y) \). \( \begin{array}{l}5 x+2 y=43 \\ -4 x-y=-32 \\ \text { One solution: } \\ \text { No solution } \\ \text { Infinite number of solutions }\end{array} \$ \begin{array}{l} \\ \text { - }\end{array} \).
Q:
Solve. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) \[ \sqrt{r}+6=\sqrt{r+8} \] +
Q:
Encabezado: Un grupo de investigadores desea saber si existe una diferencia significativa en la altura media de dos especies de plantas que habitan una misma región. Para ello, seleccionaron aleatoriamente muestras de ambas especies y midieron su altura (en centímetros). Los datos de las alturas de las plantas son los siguientes: Especie A (n = 10): 55, 60, 58, 54, 57, 62, 59, 56, 61,60 Especie B (n = 10): 52, 49, 53, 50, 54, 51, 49, 48, 53,52 ¿Cuál es la media de la altura de las * 1 punto plantas de la Especie B? 51.1 52.5
Q:
Which single power is equivalent to the expression \( 7^{5} \cdot\left(7^{4}\right)^{3} \) ?
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