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University of Michigan - Ann Arbor

01:04

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. Mintonville School District residents pay a wage tax $T$ that is modeled by the formula $T=0.005 x .$ Find the wage tax paid by a resident who earns $\$ 62,000$ per year.

07:20

Alix S.

Using Models Use the model given to answer the questions about the object or process being modeled. The gas mileage $M($ in milgal) of a car is modeled by $M=N / G,$ where $N$ is the number of miles driven and $G$ is the number of gallons of gas used. (a) Find the gas mileage $M$ for a car that drove 240 mi on 8 gal of gas. (b) $A$ car with a gas mileage $M=25$ mi/gal is driven 175 mi. How many gallons of gas are used?

00:50

Making Models : Write an algebraic formula that models the given quantity. 14. The average $A$ of two numbers $a$ and $b$

07:29

James C.

Using Models Use the model given to answer the questions about the object or process being modeled. An ocean diver models the pressure $P$ ( in $\mathrm{lb} / \mathrm{in}^{2} )$ ) at depth $d$ (in ft) by $$P=14.7+0.45 d$$ (a) Make a table that gives the pressure for each 10 -ft change in depth, from a depth of 0 ft to 60 $\mathrm{ft}$ . (b) If the pressure is $30 \mathrm{lb} / \mathrm{in}^{2},$ what is the depth?

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graph of a cosine graph and this one a transformation is gonna be y equals one half cosign. Plus the one half. So first thing we need to find is what our horizontal shift will be. What? We're gonna get this from this positive one half. So that means we've had this. They've subtracted a negative one half is, which is why it's changed to a positive. So our horizontal shift is negative one half, which means since negative one half is less than zero, we're going to shift to the left. If you're not sure how much you're going to shift by, you can change this to radiance. You don't have to, but you can. So if I want to change this to radiance, I'm gonna have negative pi over two Tom's 1 80 over pie. And that's going to give me negative 1 80 over two, which would be negative 90 degrees or we're going to shift to the left 90 degrees. So from every angle, that's kind of like two units. So just to kind of review, this is 90 right here. This is 2. 70 right here. So that conflicts, you know, So I'm gonna shift over to the left, Basically two units to the left. Based on how I drew this, which would mean my graph would look like this right here. And if I even I could even kind of keep it going if I need to to kind of show the whole thing, but that's what my graph would actually look like.

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