Greg took a trip for 21 days. He took an average of 36 black-and-white photos and 60 color photos every day. How many more color photos than black-and-white photos did Greg take on this trip? A 504 B 756 C 1,116 D 2,016

Calculate the mass of each of the following. a.

$$8.22 \times 10 ^ { 23 }$$

atoms of rubidium, b. 4.05 Avogadro’s constants of manganese atoms, c.

$$9.96 \times 10 ^ { 26 }$$

atoms of tellurium, d. 0.000 025 Avogadro’s constants of rhodium atoms, e. 88 300 000 000 000 atoms of radium, f.

$$2.94 \times 10 ^ { 17 }$$

atoms of hafnium

determine the exact value of one of the zeros

$$g(x)=6x^4-11x^3-51x^2+99x-27$$

solve the given differential equation. If an initial condition is given, also find the solution that satisfies it. (2xy−yx2+y2)+(xx2+y2−x2y2)dydx=0

Identify and then sketch the graph of the polar equation. Identify any symmetry and zeros of r. Use a graphing utility to verify your graph. $r=3-5 \sin \theta$

Simplify by combining like terms. $4 y-(2 y+3 x)-5 x$

Explain the importance of each term, person, or place: Hapsburg empire; Charles V; Philip II; absolute monarch; divine right; armada; El Greco; Miguel de Cervantes.

What are three subatomic particles?

Use the graph of the appropriate reciprocal trigonometric function to find each value. Round to four decimal places. $\(\cot 60^{\circ}\)$

The market value of Christine and Gene’s home is $275,000. The assessed value is$230,000. The annual property tax rate is $17.50 per$1,000 of assessed value. What is the property tax on their home?

The Federal Bureau of Investigation classifies various larcenies. The data in the next column represent the type of larcenies based on a random sample of 15 larcenies. What is the mode type of larceny?

$$\begin{matrix} \text{Pocket picking and purse snatching} & \text{Bicycles} & \text{From motor vehicles}\\ \text{From motor vehicles} & \text{From motor vehicles} & \text{From buildings}\\ \text{From buildings} & \text{Shoplifting} & \text{Motor vehicle accessories}\\ \text{From motor vehicles} & \text{Shoplifting} & \text{From motor vehicles}\\ \end{matrix}$$

How many molecules of

$$NAD^+$$

are required to convert one molecule of glucose to pyruvate?

An ideal gas is stored in a closed vessel at pressure p and temperature T. a. If $T = T_0,$ derive an expression for the specific exergy in terms of p, $p_0, T_0,$ and the gas constant R. b. If $p = p_0,$ derive an expression for the specific exergy in terms of T, $T_0,$ and the specific heat $c_p,$ which can be taken as constant. Ignore the effects of motion and gravity.

Find each sum or difference.

$$\frac { 7 } { 10 } + \frac { 2 d } { 3 }$$