You are given a number of

$$10 \Omega$$

resistors, each capable of dissipating only 1.0 W without being destroyed. What is the minimum number of such resistors that you need to combine in series or in parallel to make a

$$10 \Omega$$

resistance that is capable of dissipating at least 12 W?

The path followed by a baseball after it is hit can be modeled by the equation

$$2 x ^ { 2 } - 800 x + 1000 y - 4000 = 0$$

measured in feet. What was the height of the ball when it was hit?

Find ƒ(g(x)) and g(ƒ(x)). State the domain of each.

$$ƒ(x) = x³; g(x) =^3√1-x³$$

At a particular temperature, a 2.00-L flask at equilibrium contains

$$2.80 \times 10 ^ { - 4 } \text { mole of } N _ { 2 }, 2.50 \times 10 ^ { - 5 } \text { mole of } \mathrm { O } _ { 2 } , \\ \text { and } 2.00 \times 10 ^ { - 2 } \text { mole of } \mathrm { N } _ { 2 } \mathrm { O }$$

Calculate K at this temperature for the reaction

$$2 \mathrm { N } _ { 2 } ( g ) + \mathrm { O } _ { 2 } ( g ) \rightleftharpoons 2 \mathrm { N } _ { 2 } \mathrm { O } ( g )$$

If

$$\left[ \mathrm { N } _ { 2 } \right] = 2.00 \times 10 ^ { - 4 } \mathrm { M } , \left[ \mathrm { N } _ { 2 } \mathrm { O } \right] = 0.200 \mathrm { M } , \mathrm { and } \left[ \mathrm { O } _ { 2 } \right] =0.00245 M$$

does this represent a system at equilibrium?

Explain the following statement: The smallest particles unique to a compound cannot be atoms.

How can you use probability to make decisions$?$

Solve the equation. Check your solution. 44 = t - 72

Evaluate the limit of the following sequences or state that the limit does not exist.

$$a _ { n } = \cos \left( 0.99 ^ { n } \right) + \frac { 7 ^ { n } + 9 ^ { n } } { 63 ^ { n } }$$

When resistors 1 and 2 are connected in series, the equivalent resistance is 16.0 $\Omega$. When they are connected in parallel, the equivalent resistance is 3.0 $\Omega$. What is the smaller resistance of these two resistors?

Describe why it is important to take measurements that are both accurate and precise:

When resistors 1 and 2 are connected in series, the equivalent resistance is 16.0 $\Omega$. When they are connected in parallel, the equivalent resistance is 3.0 $\Omega$. What is the larger resistance of these two resistors?

Evaluate the expression. -10 + (20)

What multiple of the energy needed to escape from Earth gives the energy needed to escape from (a) a moon of mass

$$1.472 \times 10 ^ { 23 } \mathrm { kg }$$

and radius

$$3.480 \times 10 ^ { 6 } \mathrm { m }$$

and (b) Jupiter?

A certain brand of hot-dog cooker works by applying a potential difference of 120 V across opposite ends of a hot dog and allowing it to cook by means of the thermal energy produced. The current is 5.30 A, and the energy required to cook one hot dog is 60.0 kJ If the rate at which energy is supplied is unchanged, how long will it take to cook three hot dogs simultaneously?