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An object is projected from the ground with an initial velocity of 20.25 m/s at 50degrees above the horizontal. Find the following. (Show your complete solution.)                               a. Horizontal and vertical components of its initial velocity              b.. Time to reach the maximum height                          c. Range


What is the probability that the mean weekly income of these 50 workers is less than 448 pesos?

Search for one organic compound/product that is useful in our everyday life.Identify the following: functional group,structureand properties,and its applications or use.Use image and less text.Use A4 or letter-size bond paper.

Heat always flows from a body at a higher temperature to a body at a lower temperature, according to the law. This law applies to all sorts of heat engine cycles, including Otto, Diesel, and others, as well as all types of working fluids. This law has aided the advancement of modern cars Refrigerators and heat pumps based on the Reversed Carnot Cycle are another implementation of this concept. You must give external effort if you wish to transmit heat from a lower temperature body to a higher temperature body. Heat creates work in the original Carnot Cycle, whereas work is given to transport heat from a lower temperature reservoir to a higher temperature reservoir in the Reversed Carnot Cycle. According to these examples give another application of the second law of thermodynamics to real life situation.



Make a claim:


Provide evidences:

The owner of the factory that sells a particular bottled fruit juice claimed that the

average capacity of their product is 250 ml. To test the claim, a consumer group gets

a sample of 100 such bottles, calculates the capacity of each bottle, and then finds

the mean capacity to be 248 ml. The standard deviation s is 5 ml. Use α = 0.03. Will

you reject or not to reject the claim.


Balance the following redox reactions.



KCO3 + Br ⟶ KBr + KBrO3 + CO2

Dilute nitric acid reacts with copper to form copper (II) nitrate, nitrogen monoxide and water Zinc reacts with sodium chromate in a sodium hydroxide solution to form NaZnO2, NaCrO2, and H2O 


A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from this population.



A. List all the possible samples and the corresponding mean.



B. Construct the sampling distribution of the sample means.




Polarized glasses counter the glare from metallic surfaces by not allowing light of a particular orientation to pass through.True or False

Frame A is stationary. A ball is fired in the x-direction with a speed of 5 m/s. If Frame


B is moving along the same direction as the ball with a speed of 11 m/s, in which


reference frame is the ball moving faster?

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