Explain how perspiration can help cool your body.

Consider a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle $\theta$ with the vertical. Consider such a ride with the following parameters: D = 8.00 m, d = 2.50 m, m = 10.0 kg, and $\theta=28.0^{\circ}.$ (a) What is the speed of each seat? (b) Draw a diagram of forces acting on the combination of a seat and a 40.0-kg child and (c) find the tension in the chain.

For each function, write an equation for the inverse function. How can you check if your equation is correct? a. f(x)=2x+3 b. $g(x)=\frac{x-5}{4}$

What would be the molality of the solution described in the previous problem?

Given the experimental data below, use the method of initial rates to determine the rate law for the reaction $a A+b B \rightarrow$ products. (Hint: Any number to the zero power equals one. For example, $(0.22)^0 = 1$ and $(55.6)^0 = 1$.)

At what latitude are average dissolved oxygen values the lowest?

How many milliliters of 3.0M phosphoric acid $(H_3 PO_4)$ can be made from 95 mL of a 5.0M $H_3 PO_4$ solution?

Simplify. $3 r(2 r-5 s+t)+6 s(3 r-s+2 t)$

A 200-kg object and a 500-kg object are separated by 4.00 m. (a) Find the net gravitational force exerted by these objects on a 50.0-kg object placed midway between them. (b) At what position (other than an infinitely remote one) can the 50.0-kg object be placed so as to experience a net force of zero from the other two objects?

Find factors for the following. $9 w x+6 w z+6 x y+4 y z$

Find factors for the following. $12 a^{2} d+4 a^{2} e^{2}-6 b d-2 b e^{2}-15 c d-5 c e^{2}$

How many points do you need in order to sketch a parabola? One? Ten? Fifty? Think about this as you answer the questions below. a. Can you make a sketch of a parabola if you only know where its y-intercept is? For example, if the y-intercept of a parabola is (0, -15), can you sketch its graph? Why or why not? b. What about two x-intercepts of a parabola? If you only know the x-intercepts, can you sketch the parabola? For example, if the x-intercepts are (-3, 0) and (5, 0), can you sketch the parabola? c. Can you make a sketch of a parabola with only two x-intercepts and the y-intercept? To test this idea, sketch the graph of a parabola that has x-intercepts (-3, 0) and (5, 0) and y-intercept (0, -15).

Solve these equations. Each time, be sure you have found all possible solutions. Check your work and write down the name of the method (s) you used. a. $|4 x+20|=8$ b. $(x-13)^{3}=8$ c. $2 \sqrt{x-4}=14$ d. $6|x-8|-4=14$ e. $3(x+12)^{2}=27$ f. $6^{4}=36^{x}$

What information must you have in order to calculate the mass of product formed in a chemical reaction?