See that document for the complete discussion. Here we summarise that document in a form suitable for printing. Equations of Motion In the absence of air resistance: where: s = the position at time t s0 = the position at time t = 0 v0 = the speed at time t = 0 g = the acceleration due to gravity. When there is air resistance‚ it is characterised by a constant : Then the equation of motion is approximately: The Apparatus The precision of the metal scale is one part in 4000. The accuracy
Premium Degrees of freedom Classical mechanics Terminal velocity
offering a 20% off sale on complete purchases. Banana (“B”) School Supply is offering a sale in which there is a 25% discount for every dollar amount spent above $20.00. Using two different algebraic equations I will evaluate and compare the two cost options. After solving the systems of equations I will depict the situation graphically using separate amounts of total funds spent in range from $20-$300.00. X= Dollar amount before discount Y= Dollar amount after discount Store “A”
Premium Teacher Elementary algebra Elementary arithmetic
can use the substitution method to set both equations equal to each other. 5x = 185 5/5 = 185/5 x = 37 Plug x = 37 back into one of the equations above to find y. y = 5 * 37 y= 185 The solution point is 37 hours for $185‚ (37‚$185) Daycare option y = 5x Center based option y = 185 + 8(x-40) (for x > 40 hours) Since they are both equal to y‚ we can use the substitution method to set both equations equal to each other. 5x = 185 + 8(x-40)
Premium Elementary algebra Harshad number Equals sign
that is written first and negative half is written second. Subscripts are small numbers to the lower right of a symbol. They the number of atoms of that element in the compound. Coefficients are large numbers to the left of formulas in chemical equations. They represent the ratio of molecules of each substance involved in a chemical reaction. Weight Percentage is a percentage based on weights. Mole percentage is a percentage based on the numbers of atoms or moles. Formula units is the simplest
Premium Ion Oxygen Atom
shows practical problems as a series of mathematical equations which can be manipulated to find the optimum or best solution. Blending is a graphical approach to linear programming which deals with resource allocation subject to constraints. It is a model which assists firms in deciding the best possible utilisation of limited resources. Each resource constraint is represented as a mathematical linear equation. A linear expression is an equation which links two variables‚ and if plotted on a graph
Premium Elementary algebra Operations research Decision making
Question 1 – Identify equation modeling a scenario 4 Question 2 – Identify a non-equivalent equation 4 Question 3 – Evaluate equation for a given value in context 5 Question 4 – Identify equation modeling perimeter 6 Question 5 – Determine equation to model a situation 6 Question 6 – Determine equation of a line given a point and the slope 7 Question 7 – Find interval of largest change on graph 8 Question 8 – Find solution to equation 9 Question 9 – Interpret
Premium Elementary algebra Imperial units
so the mathematical equation of constraint 1 is 4X + 4Y < 30 Constraint 2: Units of flavor additive used < units of flavor additive available Units of flavor additive used = 12X + 6Y 72 units of flavor additive are available so the mathematical equation of constraint 2 is 12X + 6Y < 72 Constraint 3: Units of color additive used < units of color additive available Units of color additive used = 6X + 15Y90 units of color additive are available so the mathematical equation of constraint 3 is
Premium Optimization Elementary algebra Profit maximization
following system of equations. y = 8x - 8 y - 8x = 7 What can you conclude about the system of equations? Hint X The system of equations is inconsistent. The system of equations is dependent. The system of equations is independent. None of these 4. Identify the solution(s) of the system of equations‚ if any. -4x - 2y = 12 6y = -12x - 36 Hint X no solution (0‚ -3) (-3‚ 0) infinitely many solutions 5. Identify the solution(s) of the system of equations‚ if any. x + 5y
Premium Elementary algebra Line Geometric progression
Your Name Your Teacher Your Class Due Date The Radical and the Republican This book was a view on slavery between during the Civil War. It shows the different views of the Republican Party of Abraham Lincoln and Frederick Douglass. These two had very different views at first‚ but then learned to adapt to each other and eventually became great friends. Frederick Douglass was born into slavery. He had a strong hatred toward slavery; not just because he was a slave‚ but because he thought
Premium Abraham Lincoln Abolitionism American Civil War
April 17th 9:00-17:00 April 24th 9:00-17:00 Finite Difference Method (FDM) Computational Solution Finding; - Governing (Differential) Equations - Initial & Boundary Conditions Discretization of the Domain Changing Differential Eqs. to Algebraic Eqs. Internal Nodes and Boundary Nodes Solving the system of Algebraic equations Example: Example: A chimney Inside: Convection Ti 300 oC ‚ hi 70 W/m 2 .o C Outside: Convection + Radiation TO 20 oC ‚ hO 21 W/m 2
Premium Fundamental physics concepts Elementary algebra Polynomial