A transformer has an input of 6 V and an output of 36 V. If the input is changed to 12 V, show that the output would be 72 V.

Define a linear function that has shifted upward 3 units.

Solve each equation by using the quadratic formula. $k^{2}+5 k=7$

Each of the transformers ( 3 transformers with 240 V)is powered with $100 \mathrm{~W}$, and all have 100 turns on the primary. The number of turns on each secondary varies as $50 \mathrm{~W}$, $200 \mathrm{~W}$ and $100 \mathrm{~W}$, a. Rank the voltage outputs of the secondaries from greatest to least. b. Rank the currents in the secondaries from greatest to least. c. Rank the power outputs in the secondaries from greatest to least.

Rank the following in order from the most energy released to the least energy released: (a) uranium-235 splitting into two equal fragments, (b) uranium-235 splitting into three equal fragments, (c) uranium-235 splitting into 92 equal fragments.

Show that each system has infinitely many solutions.

$$\left\{ \begin{array} { l } { y = 2 x - 4 } \\ { 2 x - y - 4 = 0 } \end{array} \right.$$

$\text {Transformer relationship:} \frac{\text { Primary voltage }}{\text { Number of primary turns }}=\frac{\text { secondary voltage }}{\text { number of secondary turns }}$ The primary of a transformer connected to 120 V has 10 turns. The secondary has 100 turns. Show that the output voltage is 1200 V. This is a step-up transformer.

Let

$$f ( x ) = 2 \sqrt { 3 - x } \text { and } g ( x ) = 4 \sqrt [ 3 ] { 3 - x }.$$

Find

$$( f g ) ( x ) \text { and } \left( \frac { f } { g } \right) ( x )$$

and state the domain of each. Then evaluate

$$( f g ) ( 2 ) \text { and } \left( \frac { f } { g } \right) ( 2 ).$$

What is 24xy+26xy

Why is the magnetic field strength greater inside a current carrying loop of wire than about a straight section of wire?

Show that it costs 7 cents to operate a 25-W porch light for 24 h if electric energy costs 12c per kW.h.

Analyzing Processes Glass can conduct some energy. Double-pane windows consist of two plates of glass separated by a small layer of insulating air. Explain why a double-pane window prevents more energy from escaping from a house than a single-pane window does.

Using context clues, write a definition for the underlined word in each sentence. With a partner, discuss which context clues helped you to determine the meaning of the word. Then, look up the word in a dictionary and confirm or correct your definition. It is important for cooks to keep their cupboards full of the $\underline{\text{staples}}$ they use every day.

In the United States, the birthrate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function $B(a)=-0.27 a^{2}+14.23 a-120.16.$ (a) What is the age of unmarried women with the highest birthrate? (b) What is the highest birthrate of unmarried women? (c) Evaluate and interpret B(40).