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02:33

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. The power $P$ measured in horsepower (hp) needed to drive a certain ship at a speed of $s$ knots is modeled by $$P=0.06 s^{3}$$ (a) Find the power needed to drive the ship at 12 knots. (b) At what speed will a 7.5 -hp engine drive the ship?

00:55

Using Models Use the model given to answer the questions about the object or process being modeled. The volume $V$ of a cylindrical can is modeled by the formula $$V=\pi r^{2} h$$ where $r$ is the radius and $h$ is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

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?

01:38

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 $\$ 120 .$

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this example. We're gonna look at the problem. Negative 10. Tom's ex minus seven mon ist seven x plus two. Since we have parentheses, we want to go ahead and get rid of our parentheses, and we're gonna use distributive property to do so. So we're gonna multiply negative T and Tom Sex and get negative 10 x and negative 10 times negative seven. And we're gonna get positive. 70. Then let's move on to our second parentheses. So negative seven times x is negative. Seven x negative. Seven times two is positive. 14. Now that we have done distributive property and removed the parentheses, we can combine like terms. So we're going to start off with our terms with Terrible. So we have a negative 10 x and the negative seven x Both of them have, like, terms so we can combine Negative 10 and negative seven is negative. 17 X. Now we can combine our two constants or the numbers without variables. So we have 70 and 14 and since both are positive, we're gonna Adam. So 70 plus 14 is 84. I cannot combine this anymore. So we have negative 17 x plus 84

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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