Blog

Rebecca decided to solve 18 + 29 by rounding both numbers up to friendly numbers. Show what her first step might look like, then finish the problem in the way you expect that she would finish it.

Ellery and Sofia were discussing when you must trade groups of base ten blocks for the next largest block. Ellery says she repackages when she has 9 of a block. Sofia disagrees, she says you don’t need to repackage when you have 9. Do you agree or disagree with Ellery and Sofia? Explain.

Firefighters connect a fire hose to a hydrant and lift the other end of the hose into the air to attack a fire in an upper floor. Just below the hydrant the gauge water pressure is 148 kPa, the pipe has a diameter of 6.0 cm, and the volume flow rate through the pipe is 0.04 m3/s. If the gauge water pressure is zero at the high end of the hose, which has a diameter of 5.0 cm, to what height did the firefighters lift the hose?

Given 58 – 19, find the difference using compensation in two different ways, ensuring that at least one uses the idea of constant differences. Explain similarities and differences between your two methods when solving this problem.

    Meruem and Maria each set a disc spinning on a rod. Meruem’s disk has a mass of 0.5 kg with a radius of 15 cm and spins about the axle at a rate of 100 rpm. Maria’s disk also has a mass of 0.5 kg, but a radius of 20 cm, and it spins in the same direction as Meruem’s at a rate of 150 rpm. The two discs then collide and stick together. What is their final rotational speed in rad/s?

In the figure, a cylindrical L-shaped pipe is connected to a cylindrical tank in the atmosphere near the surface of the Earth. The absolute pressure at point B is 150 kPa, and the density of the oil is 900 kg/m3. What is the mass of the floating piston? (The figure shows the system which is filled with oil and consists of a hollow closed vertical cylinder and an L-shaped pipe connected to the middle of its lateral surface. The cylinder has a height of 60 centimeters and a base diameter of 20 centimeters. The top base of the cylinder is marked A. The bottom base of the cylinder is marked B. The pipe has a diameter of 4.0 centimeters. The vertical part of the pipe has the oil column of 100 centimeters with a piston on it.)

In the figure, a cylindrical L-shaped pipe is connected to a cylindrical tank in the atmosphere near the surface of the Earth. The absolute pressure at point B is 180 kPa, and the density of the oil is 900 kg/m3. What is the mass of the floating piston? (The figure shows the system which is filled with oil and consists of a hollow closed vertical cylinder and an L-shaped pipe connected to the middle of its lateral surface. The cylinder has a height of 60 centimeters and a base diameter of 20 centimeters. The top base of the cylinder is marked A. The bottom base of the cylinder is marked B. The pipe has a diameter of 4.0 centimeters. The vertical part of the pipe has the oil column of 100 centimeters with a piston on it.)

The hormone called _________, secreted by  _________, plays an important role in synchronizing physiological function with the cycle of daylight and darkness.

Meruem and Maria each set a disc spinning on a rod. Meruem’s disk has a mass of 0.5 kg with a radius of 15 cm and spins about the axle at a rate of 120 rpm. Maria’s disk also has a mass of 0.5 kg, but a radius of 20 cm, and it spins in the same direction as Meruem’s at a rate of 150 rpm. The two discs then collide and stick together. What is their final rotational speed in rad/s?

7. Find the first four non zero terms of the Maclaurin series representation for the function   by using the definition of a Maclaurin series. Show work and steps on your scratch paper. Please, record the first four nonzero terms in the Canvas answer box.