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Johns Hopkins University

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01:13

Amy J.

The model $L=4 S$ gives the total number of legs that $S$ sheep have. Using this model, we find that 12 sheep have $L=$ __________ legs.

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?

0:00

Kyle I.

Using Models Use the model given to answer the questions about the object or process being modeled. The distance $d$ (in mi) driven by a car traveling at a speed of $v$ miles per hour for $t$ hours is given by $$d=v t$$ If the car is driven at 70 milh for 3.5 $\mathrm{h}$ , how far has it traveled?

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.

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look at the problem. The plus one plus five y plus why plus two, Why squared plus three before we start combining like terms we need to do distributive property. So I'm gonna bring down the problem that's not in the parenthesis. And now let's Gabon and the distributive property. So we have two times y squared is too wide squared and two times three is six. Now we can combine any like terms. So we have a five y that we're gonna be able to combine and a why we're also going to be able to combine a one and a six. The V and the two y squared do not have, like, terms, so we're not going to combine those. So we're gonna go ahead and bring our two y squared down first because it is the variable with the largest exponents. And then we're gonna combine our terms that have why in their terms. So we have five while plus why? So that's gonna give me six. Why Now we can bring RV down. And so now we have all of our variables. So let's now combine are constants. So one plus six is seven. So the simplified expression is two y squared plus six y plus V plus seven

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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