Topic
Q:
Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the
also that it takes 200 workers 3 weeks to build 2 miles of highway. How long will it take 250 workers to build 5 miles of highway?
Q:
Area and Circumference of a Circle
Determine the area and circumference of a circle with radius 17 cm .
Use the \( \pi \) button on your calculator and round your answers to the nearest hundrei
Area \( =\square \) Select an answer \( \vee \)
Circumference \( =\square \)
Q:
०39.8. а) \( \left\{\begin{array}{l}3 x+7 y=46 \\ 4 x-3 y=12\end{array}\right. \)
б) \( \left\{\begin{array}{l}-3 x+4 y=24 \\ 5 x+3 y=-40\end{array}\right. \)
०39.9. а) \( \left\{\begin{array}{l}4 x+5 y=1, \\ 5 x+7 y=5 ;\end{array}\right. \)
б) \( \left\{\begin{array}{l}3 x-5 y=25 \\ 4 x-3 y=37\end{array}\right. \)
о39.10. а) \( \left\{\begin{array}{l}4 x+15 y=-42 \\ -6 x+25 y=-32\end{array}\right. \)
б) \( \left\{\begin{array}{l}9 x+8 y=-53 \\ 15 x+12 y=-27\end{array}\right. \)
Q:
The drag force \( F \) on a boat varies jointly with the wet surface area \( A \) of the boat and the square of the speed \( s \) of the boat. A boat v
\( 42 \mathrm{ft}^{2} \) traveling at 10 mph experiences a drag force of 210 N . Find the speed of a boat experiencing a drag force of 405 N and havii
\( 36 \mathrm{ft}^{2} \).
Q:
(1) The function \( f: f(X)=-4 \) is negative in the interval
\( \begin{array}{ll}\text { (a) }]-\infty, 4[\text { only. } & \text { (b) }]-4,4[\text { only. } \\ \text { (c) }]-\infty, \infty[ & \text { (d) }]-2,2[\text { only. }\end{array} \)
Q:
4) If \( x \) and \( y \) are both negative, which of these
expressions is always positive?
\( -(x+y) \quad \bigcirc x y^{2} \quad \bigcirc(x+y)^{3} \quad \bigcirc x^{3} y^{2} \)
Q:
Area and Circumference of a Circle
Determine the area and circumference of a circle with diameter 18 inch
Use 3.14 for \( \pi \). Round your answers to the nearest hundredth as neede
Area \( =\square \) Select an answer \( \vee \)
Circumference \( =\square \)
Q:
\( \left.\begin{array}{l}3.3 \text { Sean los conjuntos: } \\ \mathbf{U}=\{x \mid x \in Z ; 0<x<100\} \\ A=\left\{x \mid x \in Z^{\prime} ; x \text { es par; } x<10\right\} \\ B=\{1,2,4,5,6,7\} \\ C=\left\{x \mid x \in Z^{\prime} ; x \text { es divisible entre } 3 ; x<16\right\} \\ \text { Calcular: } \\ \text { a) }(A \cap B)^{\prime}-C \\ \text { b) }(A \cup C) \cap B^{\prime}\end{array}\right\} \)
Q:
Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose
also that it takes 300 workers 22 weeks to build 24 miles of highway. How many miles of highway could 225 workers build in 33 weeks?
Q:
Dos autos salen del mismo sitio y al mismo tiempo en rutas rectilíneas formando entre ellas un ángulo
de \( 100^{\circ} 20^{\prime} 50^{\prime \prime} \). Si uno de los autos lleva una velocidad constante de \( 70 \mathrm{~km} / \mathrm{h} \) y el otro, una velocidad
constante de 90 Km / h, determinar la distancia que separa a los dos autos después de, media hora de
haber partido del sitio de salida; Un cuarto de hora de haber partido del sitio de salida.
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