In physics, What is meant by a proportional relationship? Is this the same as a linear relationship? Explain.

The work W done when lifting an object varies jointly with the mass m of the object and the square of the height h that the object is lifted. Which equation represents the relationship between work, mass, and volume?

A projectile is modelled by the function 9.81 -t' + vot + ho, 2 h(t) with h measured in meters. Using the table of given information below, find the first time the projectile reaches a height of 12.0 m. Round your answer to 2 decimal places. VO= 15.64 m/s ho = 1.5 m Your Answer: Answer units

For this situation, why must N be equal to 15 instead of 1.5?

1.) If a 1.00 kg bag containing eight apples costs $1.48 , how much does one apple cost? What mass of apples costs $1.00? 2.) A student was given two metal cubes that looked similar. One was 1.05cm on an edge and had a mass of 14.32 grams; the other was 2.66 cm on a side and had a mass of 215.3 grams. How can the student determine if these two cubes of metal are the same material using only the data given?

You purchased 5.2kg of apples from a store. You noticed that they used the smallest division of 4.2 g to weight them. What is the relative error of this weight measurement as a percentage. You want to calculate the area of your dorm which is in a rectangular shape. You measure the length and the width of the room as L= 4.8+(-.01) m, W= 4.4+(-.01) m. What is the absolute error in the area in m^2 units?

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The second picture are the avilable units and the number of tolerance needed for the answer

Measurements: Ahmed wants to send a box of oranges to a friend by mail. The box of oranges cannot exceed a mass of 10 kg. If each orange has a mass of 200g, what is the maximum number she can send?Abdulla buys a reel of thread. There are 10 m of thread on the real. She uses 210 cm. How much is left on the reel in centimeters?

The average distance, d, that a Galapagos tortoise travels during a day scales with the tortoise’s mass, m, as: d is proportional to m^2/3. If a 50 kg tortoise travels 400m in a day, how far does a 200kg tortoise travel?