**Assignment Summary**

Date | Details | Due |

Sun May 8, 2022 | MATH114 Assignment Week 1: *What’s Due this Week | due by 11:59pm |

MATH114 Assignment Week 1: ALEKS – Initial Knowledge Check | due by 11:59pm | |

MATH114 Assignment Week 1: Course Overview (Interactive Assignment) | due by 11:59pm | |

MATH114 Discussion Topic Week 1: Idea Lab (Discussion) | due by 11:59pm | |

Sun May 15, 2022 | MATH114 Assignment ALEKS – Week 2: Chapter 11 (Part 1) | due by 11:59pm |

MATH114 Assignment Week 2: *What’s Due this Week | due by 11:59pm | |

MATH114 Assignment Week 2: ALEKS Overview (Interactive Assignment) | due by 11:59pm | |

MATH114 Discussion Topic Week 2: Idea Lab (Discussion) | due by 11:59pm | |

Sun May 22, 2022 | MATH114 Assignment ALEKS – Week 3: Chapter 11 (Part 2) | due by 11:59pm |

MATH114 Assignment Week 3: *What’s Due this Week | due by 11:59pm | |

MATH114 Discussion Topic Week 3: Idea Lab (Discussion) | due by 11:59pm | |

Sun May 29, 2022 | MATH114 Assignment ALEKS – Week 4: Chapter 13 (Part 1) | due by 11:59pm |

MATH114 Assignment Week 4: *What’s Due this Week | due by 11:59pm | |

MATH114 Discussion Topic Week 4: Idea Lab (Discussion) | due by 11:59pm | |

Sun Jun 5, 2022 | MATH114 Assignment ALEKS – Week 5: Chapter 13 (Part 2) | due by 11:59pm |

MATH114 Assignment Week 5: *What’s Due this Week | due by 11:59pm | |

MATH114 Discussion Topic Week 5: Idea Lab (Discussion) | due by 11:59pm | |

Sun Jun 12, 2022 | MATH114 Assignment ALEKS – Week 6: Chapter 15 | due by 11:59pm |

MATH114 Assignment Week 6: *What’s Due this Week | due by 11:59pm | |

MATH114 Discussion Topic Week 6: Idea Lab (Discussion) | due by 11:59pm | |

Mon Jun 13, 2022 | MATH114 Calendar Event Course Evaluation | 9am |

Sun Jun 19, 2022 | MATH114 Assignment ALEKS – Week 7: Chapter 16 (Part 1) | due by 11:59pm |

MATH114 Assignment Week 7: *What’s Due this Week | due by 11:59pm | |

MATH114 Assignment Week 7: Course Wrap-Up (Interactive Assignment) | due by 11:59pm | |

MATH114 Discussion Topic Week 7: Idea Lab (Discussion) | due by 11:59pm | |

Sat Jun 25, 2022 | MATH114 Assignment ALEKS – Week 8: Chapter 16 (Part 2) | due by 11:59pm |

MATH114 Assignment Week 8: *What’s Due this Week | due by 11:59pm | |

MATH114 Discussion Topic Week 8: Idea Lab (Discussion) | due by 11:59pm |

Discussion 2: Why do we use letters in algebra? Does it matter which letters are used?In algebra we use letters to represent unknown values that can change. Letters are also used to replace some of the numbers where a numerical expression would be too complicated. Letters are only used in math when using variables, or to represent unknown values. The letters E and I have special value and are usually not used as variables . The letter O is not used because it can be mistaken for the number 0(zero). The most commonly used letters are x , y, z, a, b, c, m and n. **Reference:** https://www.themathpage.com

Discussion #9 Can You Repeat That? Tessellation is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps.There are three types of regular tessellations , triangles , squares and hexagons

Application Problem: What would be your first best step to solving the following system of equations?

2x/3-y/6=1/2

2*x* – 4*y* = 3

The two-equation can be solved simultaneously,

by the first multiplying with opposite coefficients x(the coefficient of first is multiplied in the second equation while the second in the first), all through

2(2x/3)-2(y/6)=2(1/2)

2/3(2x)-2/3(4y)=2/3(3)

Subtracting the two

-2y/6+8y/3=1-2

7y/3=-1

y=-3/7

Again multiplying with opposite coefficients of y(the coefficient of first is multiplied in the second equation while the second in the first)

4(2x/3)-4(y/6)=4(1/2)

1/6(2x)-1/6(4y)=1/6(3)

Subtracting

8x/3-2x/6=2-1/2

x=9/14

**How do you test that your solution is correct?**

To test the values obtained for x and y, they can be replaced back in the two simultaneous equations, and test whether they satisfy the equations

In the first equation

2/3(9/14)-1/6(-3/7)=?

21/42=1/2

which satisfies the equation indicating that x and y are correct values.

In the second equation

2*x* – 4*y* =?

2(9/14)-4(-3/7)

18/14+12/7

=42/7

=3

It also satisfies the equation.

**. What is the difference between speed and velocity? **

Speed is described as the distance traveled by an object per unit of time. The direction of motion of the object is not specified,while velocity refers to distance traveled by an object per unit of time in a particular direction(directions is specified).

Another difference is that speed is a scalar quantity and has only magnitude while velocity is a vector quantity having both magnitude and velocity.

Speed cannot hold a negative value while velocity can hold both negative and positive values.

Speed is given by the formula

speed=distance traveled/time taken to travel the distance.

For example:

A car travels 500km in 5 hours. What is the speed of the car?

speed=500km/5hours=100km/hr

Velocity is given by the formula

velocity=Displacement/Time interval

For example

If John is able to travel 5km north in 2 hours in his car. What was his average velocity?

velocity=displacement/change in time=5km north/2 hours=2.5km/hr north

**12. Application Problem: Find the missing value that makes the following a perfect square trinomial. Explain the process you used to find the value.**

4*x*^{2} – *bx* + 49

From perfect square formula

(a-d)^{2 }=(a^{2}-2ad+d^{2})

Comparing this standard equation with the given equation

a^{2}=4*x*^{2}

a=2x

d^{2}=49

d=7

2ad=bx

2(2x)(7)=bx

dividing all through by x

b=28

To verify the trinomial is perfect square,then

4*x*^{2} – 28*x* + 49

(2x-7)(2x-7)=4*x*^{2} – 14*x-14x* + 49

=4*x*^{2} – 28*x* + 49

(2x-7) shows its perfect square.

**1. Investigate one of these types of energy and the math it might make use of.**

Nuclear energy -It refers to energy trapped inside each atom

It utilizes nuclear reactions to produce electricity. Nuclear power is obtained from nuclear fission, nuclear decay of nuclear fusion reactions. but most of the plants that produce electricity through this use nuclear fission of uranium and platinum. It was introduced by Albert Einstein from the law that matter and energy can neither be created nor destroyed but can be changed from one form to another. He argued that matter can be changed into energy represented in his famous equations

E=mc^{2}

where E is the energy, m is the mass and c is the velocity of light.

This is a key equation used by scientists to unlock atomic energy

**1. Look up a number trick and explain why it works.**

**i. Think of any three-digit number in which each of the digits is the same.**

Taking a number 777

**ii. Add up the digits.**

7+7+7=21

**iii. Divide the three-digit number by the answer in Step ii.**

777/21

=37

**1. What are elliptic and hyperbolic geometries? Why were they developed?**

Elliptic geometry is the geometry of the sphere, where congruence transformations are the rotations of the sphere about its center.

Hyperbolic geometries are the geometry you get by assuming all the postulates of Euclid, except the fifth one, which is replaced by its negation.

Elliptic geometry was used to determine distances between places on the surface of the earth. since the earth is roughly spherical, lines connecting points on the surface of the earth are naturally curved as well.

Hyperbolic geometry helps to break away from our pictorial definitions by offering us a world in which the pictures are all changed.

Support