A test has three parts. Part A consists of eight true-false questions, Part B consists of five multiple choice questions with five choices each, and Part C requires you to match five questions with five different answers one-to-one. Assuming that you make random guesses in filling out your answer sheet, what is the probability that you will earn 100% on the test? (Leave your answer as a formula.)

¿Es la deforestación un recurso natural, un problema o una solución?

Atoms of which of the following elements will diffuse most rapidly in iron? (A) Mo (B) C (C) Cr (D) W

To get an A, you need more than 200 points on a two-part test. You score 109 on the first part. How many more points do you need?

A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a student answer the questions on the test if the student answers every question? b) In how many ways can a student answer the questions on the test if the student can leave answers blank?

Let S={Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A={Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B={Barnsley, Manchester United, Southend}. Find the numbers indicated. $n\left((A \cup B)^{\prime}\right)$

Two isomers (A and B) of a given compound dimerize as follows:

$$\begin{array} { l } { 2 \mathrm { A } \longrightarrow \mathrm { A } _ { 2 } } \\ { 2 \mathrm { B } \longrightarrow \mathrm { B } _ { 2 } } \end{array}$$

Both processes are known to be second order in the reactant, and $k _ { 1 }$ is known to be $0.250\ \mathrm { L }\ \mathrm { mol } ^ { - 1 }\ \mathrm { s } ^ { - 1 }$ at $25 ^ { \circ } \mathrm { C }.$ In a particular experiment A, and B were placed in separate containers at $25 ^ { \circ } \mathrm { C } ,$ where $[ \mathrm { A } ] _ { 0 } = 1.00 \times 10 ^ { - 2 }\ \mathrm { M }$ and $[ \mathrm { B } ] _ { 0 } = 2.50 \times 10 ^ { - 2 }\ \mathrm { M } .$ After each reaction had progressed for 3.00 min, [A] = 3.00[B]. In this case the rate laws are defined as follows:

$$\text {Rate} = - \frac { d [ \mathrm { A } ] } { d t } = k _ { 1 } [ \mathrm { A } ] ^ { 2 } \\ \text {Rate} = - \frac { d [ \mathrm { B } ] } { d t } = k _ { 2 } [ \mathrm { B } ] ^ { 2 }$$

Calculate the value of $k _ { 2 }.$

describe how to transform the graph of ƒ into the graph of g.

$$f(x)=I2xIand g(x)=4IxI$$

Let S={Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A={Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B={Barnsley, Manchester United, Southend}. Find the numbers indicated. $n\left((A \cap B)^{\prime}\right)$

Let S={Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A={Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B={Barnsley, Manchester United, Southend}. Find the numbers indicated. $n\left(A^{\prime}\right)$

The first two terms of the arithmetic sequence are given. Find the missing term. Use the table feature of a graphing utility to verify your results. $a_{1}=-0.7, \quad a_{2}=-13.8, \quad a_{8}= ?$

Let S={Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A={Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B={Barnsley, Manchester United, Southend}. Find the numbers indicated. $n\left(B^{\prime}\right)$

Sketch the graph of each of the following functions: $y=\cos x$

The perimeter of an isosceles triangle is 4 times the length of the shortest side. The longer sides are 4.5 ft longer than the shortest side. What is the length of each side of the triangle?