Write <, =, or > to make a true sentence. -6 + 5 $\underline{?}$ -5 + 7

In aqueous solution , hydrogen sulfide reduces $\mathrm { Br } _ { 2 }$ to $\mathrm { Br } ^ { - }$ In all cases, under appropriate conditions, the product is elemental sulfur. Write a balanced net ionic equation for each reaction.

Let $X$ and $Y$ each have support $(0,1)$ marginally, and suppose that the joint PDF $f_{X,Y}$ of $X$ and $Y$ is positive for $0 < x < y$ and 0 otherwise. (a) What is the support of the conditional PDF of $Y$ given $X = x$? (b) Show that $X$ and $Y$ can’t be independent.

The wavelength of absorbed electromagnetic radiation for $\mathrm { CoBr } _ { 4 } ^ { 2 - }$ is $3.4 \times 10 ^ { - 6 }\ \mathrm { m } .$ Will the complex ion $\mathrm { CoBr } _ { 6 } ^ { 4 - }$ absorb electromagnetic radiation having a wavelength longer or shorter than $3.4 \times 10 ^ { - 6 }\ \mathrm { m } ?$ Explain.

Distinguish between living donor transplants and deceased donor transplants. Which type is more common?

In I 899, Charles M. "Mile a Minute" Murphy set a record for speed on a bicycle by pedaling for a mile at an average of 62.3 mi/h (27.8 m/s) on a 3 mi track of plywood planks set over railroad ties in the draft of a Long Island Railroad train. In 1985, a record was set for this type of "motor pacing" by Olympic cyclist John Howard who raced at 152.2 mi/h (68.04 m/s) in the wake of a race car at Bonneville Salt Flats. The race car had a modified tail assembly designed to reduce the air drag on the cyclist. What was the kinetic energy of the bicycle plus rider in each of these feats? Assume that the mass of bicycle plus rider is 70.5 kg in each case.

Read this passage and then answer. (1) American history has many famous heroes, but Sybil Ludington is one who is less well known. (2) In 1777, Sybil was just 16 years old. (3) Her father was an officer in the New York militia. (4) One night, the British attacked a nearby town. (5) Someone had to alert the militiamen in the area. (6) Sybil volunteered to call the soldiers to arms. (7) She rode 40 miles that night. Choose the correct way to add a participial phrase to sentence 4. A. One night, the British attacked a nearby town; the colonists had stored supplies there. B. One night, the British attacked a nearby town and stole supplies. C. One night, the British attacked a nearby town, stealing colonists’ supplies. D. One night, the British attacked a nearby town where the colonists had stored supplies.

Find the product or quotient.

$$\frac { 4 x ^ { 9 } y } { 3 x ^ { 3 } } \cdot \frac { 2 x y } { 8 y ^ { 2 } }$$

Use the Quotient Rule to differentiate the function f(x)=tanx-1/secx, Simplify the expression for f(x) by writing it in terms of sinx and cosx, and then find f'(x). show that your answer are equivalent.

The joint probability density function of $X$ and $Y$ is given by

$$f ( x , y ) = \frac { 6 } { 7 } \left( x ^ { 2 } + \frac { x y } { 2 } \right) \quad 0 < x < 1,~~0 < y < 2.$$

(a) Verify that this is indeed a joint density function.

(b) Compute the density function of $X$.

(c) Find $P\{X>Y\}$.

(d) Find $P\{Y>\frac { 1 } { 2 } | X < \frac { 1 } { 2 } \}$,

(e) Find $E[X]$.

(f) Find $E[Y]$.

Review the meanings and identify the parts of speech of: claudit

$$\text { How many isomorphisms are there from } Z _ { 12 } \text { to } Z _ { 4 } \oplus Z _ { 3 } ?$$

Combine like terms. Simplify the expression.

$$16 + 4 a - 2 a + 7 u + 2 u$$

Write a formula representing the function. The strength, S, of a beam is proportional to the square of its thickness, h.