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Kelli P.

Making Models : Write an algebraic formula that models the given quantity. 15. The cost $C$ of purchasing $x$ gallons of gas at $\$ 3.50$ a gallon

02:13

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. A mountain climber models the temperature $T$ ( in $^{\circ} \mathrm{F}$ ) at elevation $h$ (in ft) by $$T=70-0.003 h$$ (a) Find the temperature $T$ at an elevation of 1500 $\mathrm{ft}$ . (b) If the temperature is 64$^{\circ} \mathrm{F}$, what is the elevation?

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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we're gonna look at the problem. Three F minus two equals for elf plus five. Now, here's an example of an equation where both the left and the right side are actually already simplified. So that's a process we do not have to go through in this equation. But we noticed that our variable is on both sides of the equal sign both on the left side and the right side. It is a good habit to go ahead when we're solving to move your variable and it's coefficients to the left side of equal sign. So we're gonna start off by moving R four f to the left. So since four F is positive, we're going to subtract for elf from both sides. So that is gonna give me negative elf or negative One elf minus two equals R four efs were going to cancel out and that will equal five. Now we need toe isolator if we're going to do so by adding to to both sides. So I have negative elf equals seven. Now, Even though we've got our variable, it looks like it's by itself. We still have a negative in front of it. You cannot leave your variable at the end with a negative in front of it. So we need to go ahead and divide both sides by negative one to move that negative. That will cancel out and leave me with just a positive if and seven divided by negative one is negative. Seven. So awful equal, negative seven.

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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