Mike has read

$$\frac { 1 } { 3 }$$

of his book. What fraction of his book does he still have to read? What percent of his book does he still have to read?

When

$$P > \alpha$$

, does the standardized test statistic lie inside or outside of the rejection region(s)? Explain your reasoning.

Hadrons that contain one or more strange quarks are called strange particles. The particles were originally called strange-before quark theory had been formulated-due to their anomalously long lifetimes of $10 ^ { - 10 }$ to $10 ^ { - 7 }$ s (compared with about $10 ^ { - 23 }$ to $10 ^ { - 20 }$ s for the other hadrons known at the time). When a strange hadron decays into particles that are not strange, the decay is manifestation of the (a) strong interaction. (b) weak interaction. (c) electromagnetic interaction. (d) gravitational interaction.

A 1.0-kg object undergoes simple harmonic motion with an amplitude of 0.12 m and a maximum acceleration of $5.0 \mathrm { m } / \mathrm { s } ^ { 2 }$. What is its energy?

Select one of the two poems and practice reading it aloud, emphasizing the meaning or emotion of the poem with your voice, facial expression, and gestures. Perform a dramatic interpretation of the poem for the class.

evaluate (if possible) the six trigonometric functions at the real number. t = - 2π/3

A sample of $\mathrm { N } _ { 2 } \mathrm { O } _ { 4 } ( g )$ is placed in an empty cylinder at $25 ^ { \circ } \mathrm { C } .$ After equilibrium is reached, the total pressure is $1.5\ \mathrm { atm } ,$ and 16$\%$ (by moles) of the original $\mathrm { N } _ { 2 } \mathrm { O } _ { 4 } ( \mathrm { g } )$ has dissociated to $\mathrm { NO } _ { 2 } ( \mathrm { g } )$. Calculate the value of $K _ { \mathrm { p } }$ for this dissociation reaction at $25 ^ { \circ } \mathrm { C }$.

Let $G$ be a group, $N _ { 1 } , N _ { 2 } , \ldots , N _ { k }$ normal subgroups of $G$ such that: 1. $G = N _ { 1 } N _ { 2 } \cdots N _ { k }$ 2. For each $i , N _ { i } \cap \left( N _ { 1 } N _ { 2 } \cdots N _ { i - 1 } N _ { i + 1 } \cdots N _ { k } \right) = ( e )$ Prove that $G$ is the direct product of $N _ { 1 } , N _ { 2 } , \ldots , N _ { k }$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.

Simplify each expression.

$$- 2 \left( x ^ { 2 } - 1 \right) + 4 x ^ { 2 }$$

Find the distance between the two points.

$$( - 1,1 ) , ( 7,4 )$$

$$\text { Show that } ( Z \oplus Z ) / ( \langle a \rangle \oplus \langle b \rangle ) \text { is ring-isomorphic to } Z _ { a } \oplus Z _ { b }$$

If S = {$x | 0 <x< 12$}, M = {$x | 1 <x< 9$}, and N = {$x | 0 <x< 5$}, find (a) $M \cup N$; (b) $M \cap N$; (c) $M^\prime \cap N^\prime$.

What is the common difference and the next term in the arithmetic sequence? 3, 15. 27. 39, ...