While a meter is the fundamental unit of length, most distances traveled by humans are measured in miles or kilometers. Why do you think this is?

Prove that the total degeneracy for an atomic hydrogen state having principal quantum number n is $2n^{2}$.

Based on the national ambient air quality standards which size particle pollution is more toxic for humans (PM2.5 or PM10)? Explain.

Humans can detect a difference in sound intensity levels of $1.0 \mathrm{~dB}$. What is the ratio (louder to softer) of the sound intensities?

Find the specific kinetic energy of a mass whose velocity is $30 \mathrm{~m} / \mathrm{s}$, in $\mathrm{kJ} / \mathrm{kg}$.

$$\text { Let } G \text { be a group. Prove or disprove that } H = \left\{ g ^ { 2 } | g \in G \right\} \text { is a sub- }\text { group of } G$$

Which of the following is not true of a trapezoid that has been reflected across the x-axis? (A) The new trapezoid is the same size as the original trapezoid. (B) The new trapezoid is the same shape as the original trapezoid. (C) The new trapezoid is in the same orientation as the original trapezoid. (D) The x-coordinates of the new trapezoid are the same as the x-coordinates of the original trapezoid.

Which of the following is not true of a trapezoid that has been reflected across the x-axis?

A. The new trapezoid is the same size as the original trapezoid.

B. The new trapezoid is the same shape as the original trapezoid.

C. The new trapezoid is in the same orlentation as the original trapezoid.

D. The x-coordinates of the new trapezoid are the same as the x-coordinates of the original trapezoid.

In the following categorical propositions identify the quantifier, subject term, copula, and predicate term. No foods that are loaded with antibiotics are meals suitable for humans.

For quantum effects to be everyday phenomena in our lives, what would be the minimum order of magnitude of h?

Suppose that Y is normally distributed with mean 0 and unknown variance

$$\sigma ^ { 2 }$$

. Then

$$Y ^ { 2 } / \sigma ^ { 2 }$$

has a

$$\chi ^ {2}$$

distribution with 1 df. Use the pivotal quantity

$$Y ^ { 2 } / \sigma ^ { 2 }$$

to find a 95% upper confidence limit for

$$\sigma ^ { 2 }$$

.

Determine whether the set together with the binary operation is a group. If it is a group, determine if it is Abelian; specify the identity and the inverse of a generic element. $\mathbb{Z}$, where $*$ is ordinary multiplication.

Is the following sentence true or false? Quantum mechanics describes the motions of subatomic particles and atoms as waves.

Humans are accidental hosts in many vector-borne diseases. What does this indicate about the relationship between the vector and the microbial agent?