a. Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning. b. Write the negation of the quantified statement. (The negation should begin with “all,” “some,” or “no.”). There are no seniors who did not graduate.

a. Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning. b. Write the negation of the quantified statement. (The negation should begin with “all,” “some,” or “no.”). Some thieves are not criminals.

Write the negation of each statement. I am not going and he is going.

Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument’s symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) We criminalize drugs or we damage the future of young people. We will not damage the future of young people. $\therefore$ We criminalize drugs.

Let p and q represent the following simple statements: p: You are human. q: You have feathers. Write each compound statement in symbolic form. Being human is sufficient for not having feathers.

Let p and q represent the following statements:

$$\begin{array}{l}{p : 4+6=10} \\ {q : 5 \times 8=80}\end{array}$$

Determine the truth value for each statement. $p \vee q$

If f(x)=4x+11, find f(-2).

Solve each inequality algebraically. $x^{3}-9 x \leq 0$

a. Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning. b. Write the negation of the quantified statement. (The negation should begin with “all,” “some,” or “no.”) All whales are mammals.

Solve the system of equations by using the row-reduction method.

$$\left\{\begin{array}{l}{3 x+4 y=1} \\ {8 x+11 y=4}\end{array}\right.$$

Use the statements below and the given logic statement to write compound sentences in English. p: I go to the math learning center. q: I complete my math homework.

$$q\Rightarrow p$$

Translate each argument into symbolic form.. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, com.pare the argument's symbolic form to a standard valid or invalid form . (You can ignore differences in past, present, and future tense.) He is intelligent or an overachiever.

$$\frac { \text {He is not intelligent.} } { \therefore \text { He is an overachiever.} }$$

In 1897 the Swedish explorer Andree tried to reach the North Pole in a balloon. The balloon was filled with hydrogen gas. The hydrogen gas was prepared from iron splints and diluted sulfuric acid. The reaction is

$$\mathrm { Fe } ( s ) + \mathrm { H } _ { 2 } \mathrm { SO } _ { 4 } ( a q ) \longrightarrow \mathrm { FeSO } _ { 4 } ( a q ) + \mathrm { H } _ { 2 } ( g )$$

The volume of the balloon was

$$4800\ m^3,$$

and the loss of hydrogen gas during filling was estimated at 20.%. What mass of iron splints and 98% (by mass)

$$H_2SO_4$$

were needed to ensure the complete filling of the balloon? Assume a temperature at

$$0^\circ C,$$

a pressure of 1.0 atm during filling, and 100% yield.

Explain briefly why the brightness of a bulb doesn’t change noticeably when you use longer copper wires to connect it to the battery.