Unit Activity: Manipulating and Interpreting Expressions Describing the Benefits of Mathematical Modeling
This activity will help you meet these educational goals:
You will state the benefits of modeling real-world phenomena.
In the previous tasks, you used the structure of expressions to accomplish different tasks:
• In Task 1, you used the structure of a formula for interest to create two different models for calculating interest.
• In Task 2, you rearranged an equation that modeled the flight of a paper ball through the air to reveal important
information.
Think about those two situations as you answer the following questions.
Part A
In the interest task, how did the structure of the formula help you calculate how interest would accrue over four years?
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The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

What power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent and then find the volume of the cube

Ijust need to see how to do this. so you don’t have to answer all of them just a step by step explanation of one.