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01:15

Jinseop S.

$3-12=$ Using Models Use the model given to answer the questions about the object or process being modeled. The sales tax $T$ in a certain county is modeled by the formula $T=0.06 x .$ Find the sales tax on an item whose price is $\$ 120 .$

00:50

Taylor S.

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

06:25

Daniel P.

Using Models Use the model given to answer the questions about the object or process being modeled. The portion of a floating iceberg that is below the water sur- face is much larger than the portion above the surface. The total volume $V$ of an iceberg is modeled by $$V=9.5 S$$ where $S$ is the volume showing above the surface. (a) Find the total volume of an iceberg if the volume show- ing above the surface is 4 $\mathrm{km}^{3}$ . (b) Find the volume showing above the surface for an ice- berg with total volume 19 $\mathrm{km}^{3}$ .

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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value of seven p plus four divided by eight equals three. Now, just like with any equation on absolute value, we want to get the absolute value by itself. Which means that we need to go ahead and we need to get rid of this eight on the left side. Well, because it's set up like a fraction we know we can go ahead and we can multiply both sides by the denominator because that's going to cancel out my denominator and leave me with the absolute value of seven. P plus four equals three times eight is 24 and this is what I'm gonna work two times. So I have the absolute value of seven. P plus four equals 24. So the first time I work it, I will have seven. P plus four equals 24. We're going to subtract four on both sides, so seven p equals 20. Divide by seven p is going to equal 20/7 because I can't reduce that fraction anymore. The second time I work it, I'm gonna have seven p plus four equals negative. 24. We're going to subtract four on both sides. Seven p equals negative. 28 Divide by seven p equals negative four. So my solution set is 20 over seven negative four

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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