5. Un fabricante estima que el costo marginal por producir \( x \) unidades de cierto produc- to es \( C^{\prime}(x)=3 x^{2}-24 x+48 \) pesos por unidad. Si el costo de producción de 10 unidades es de \( \$ 6000.00 \), ¿cuál es el costo de producción de 40 unidades?

The length of common chord of two intenceting circles is 30 cm . If the diametens of these two circles be 50 cm and 34 cm , calculate the distance between their centres.

(a) If the price of the pizza does go up by \( 5 \% \) next year, find the amount of increase. The amount of increase will be \( \$ 0.26 \). Round your answer to the nearest cent. Part: \( \mathbf{1} / \mathbf{2} \). Part 2 of 2 (b) Find the new cost of the pizza. The new cost of the pizza will be \( \$ \).

Hur mycket energi behövs för att värma \( 2,0 \mathrm{~kg} \) vatten frà \( 20^{\circ} \mathrm{C} \) till \( 50^{\circ} \mathrm{C} \) ?

1) The students in Liam's class got to choose whether to visit the zoo or the aquarium. 2 students went to the zoo and 27 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who went to the aquarium?

During a period of very heavy rains, the water level in a certain river increases at the rate of 8 cm each hour. If it continues like this, by how much will the water level increase in 24 hours?