Temperature differences on the Rankine scale are identical to differences on the Fahrenheit scale, but absolute zero is given as $0 ^ { \circ } \mathrm { R }$. Find a second relationship converting temperatures $T_R$ of the Rankine scale to the temperatures $T_K$ of the Kelvin scale.

A wire 22 cm long is cut into two pieces. The longer piece is 2 cm longer than the shorter piece.

A wire is 25.0 m long at $2.00^{\circ} \mathrm{C}$ and is 1.19 cm longer at $30.0^{\circ} \mathrm{C}$. Find the wire's coefficient of linear expansion.

Absolute zero on a temperature scale called the Rankine scale is $T_{R}=0^{\circ} \mathrm{R}$, and the scale’s unit is the same size as the Fahrenheit degree. Write a formula that relates the Rankine scale to the Fahrenheit scale.

(a) On January 22, 1943, the temperature in Spearfish, South Dakota, rose from $-4.0^{\circ} \textrm{F}$ to $45.0^{\circ} \textrm{F}$ in just 2 minutes. What was the temperature change in Celsius degrees? (b) The temperature in Browning, Montana, was $44.0^{\circ} \mathrm{F}$ on January 23, 1916. The next day the temperature plummeted to $-56^{\circ} \mathrm{F}$. What was the temperature change in Celsius degrees?

What is the meaning of the capitalized word in the phrase - a tale of sin and INIQUITY?

Solve the equation using the square root property.

$$m ^ { 2 } + 4 = 0$$

One of the difficulties in solving first order equations is that there are several methods of solution, each of which can be used on a certain type of equation. It may take some time to become proficient in matching solution methods with equations. solve the given differential equation. If an initial condition is given, also find the solution that satisfies it. dydx=x+yx−y

Find each product. Look for patterns. a. $\left(\dfrac{10}{13}\times54\right)\times13$
b. $\left(\dfrac{10}{13}\times81\right)\times13$
c. $\left(\dfrac{10}{13}\times1113\right)\times13$
d. Describe a pattern.

The length of a steel beam increases by 0.73 mm when its temperature is raised from $22^{\circ} \mathrm{C} \text { to } 35^{\circ} \mathrm{C}$. What is the length of the beam at $22^{\circ} \mathrm{C}$?

A steel beam being used in the construction of a skyscraper has a length of 35.000 m when delivered on a cold day at a temperature of 15.000$^ { \circ }$ F. What is the length of the beam when it is being installed later on a warm day when the temperature is 90.000$^ { \circ }$ F?

The width of a particular microwave oven is exactly right to support a standing-wave mode. Measurements of the temperature across the oven show that there are cold spots at each edge of the oven and at three spots in between. The wavelength of the microwaves is 12 cm. How wide is the oven?

Suppose A has position vector 3i + 2j - k, B has position vector 2i - j - 8k, and C has position vector i + j + ak. Find the unit vector u in the direction of $\overrightarrow{\mathrm{BA}}$.

Find the vertex and the axis of symmetry of the graph of the function. $f ( x ) = 5 ( x - 2 ) ^ { 2 }$