Write assignment statements that perform the following operations with the variables a, b, and c. a) Adds 2 to a and stores the result in b * b=a+2 b) Multiplier b times 4 and stores the result in a * a=b*4 c) Divides a by 3.14 and stores the result in b * b=a/3.14 d) Subtract 8 from b and stores the result in a * a=b-8 4. Assume the variables result, w, x, y, and z are all integers, and that w=5, x=4, y=8, and z=2. What value will be stored in result in each of the following statements? a) Set result = x + y * 12= x + y b) Set result = z + 2 * 4=z * 2 c) Set result = y / x * 2=y / x d) Set result =y – z * b=y – z 5. Write a pseudocode statement that declares the variable cost so it can hold real numbers.
| The legs have length '24' and 'X' are the legs. The hypotenuse is 26. See Picture | The hypotenuse is red in the diagram below: Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) | A2 + B2 = C2 x2 + 242 = 262 | Step 3) Solve for the unknown | | Problem 1) Find the length of X | | Step 1 | Remember our steps for how to use this theorem. This problems is like example 1 because we are solving for the hypotenuse . Step 1) Identify the legs and the hypotenuse of the right triangle.
Planck's constant: the constant relating the change in energy for a system to the frequency of the electromagnatic radiation absorbed or emitted, equal to 6.626 X 10^-34 J 5. Quantization: the concept that energy can occur only in discrete units called quanta 6. Photon: a quantum of electromagnetic radiation 7. Photoelectric effect: ejection of electrons from a substance by incident electromagnetic radiation, especially by visible light 8. E=mc^2: Einstein's equation proposing that energy has mass; E is energy, m is mass, and c is the speed of light 9.
What is x? The Pythagorean Theorem states that in every right triangle with legs the length a and b and hypotenuse c, these lengths have the relationship of a2 + b2=c2. a=x b=(2x+4)2 c=(2x+6)2 this is the binomials we will insert into our equation x2+(2x+4)2=(2x+6)2 the binomials into the Pythagorean Theorem x2+4x2+16x+16=24x36 the binomial squared. The 4x2can be subtracted out first x2+16x+16=24x+36 now subtract 24x from both sides x2+-8x+16=36 now subtract 36 from both sides x2-8x-20=0 this is a quadratic equation to solve by factoring and using the zero factor. (x- )(x+ ) the coefficient of x2 is one (1).
P(1+r/2)(1+r/2) Next step is to multiply the squared quantity. P(1+(r/2)+(r/2)+(r2/4)) Then carry out FOIL. P(1+(2r/2)+(r2/4)) Combine like terms. P+(2Pr/2)+(Pr2/4) Distribute P throughout the trinomial 4P+4Pr+Pr2 Simplified. 4 Now, unlike traditional polynomials, the one used above is not in descending order of the variables.
Begin by writing the corresponding linear equations, and then use back-substitution to solve your variables. 10–1301–8001 159–1 x,y,z=( , , ) 10–1301–8001 159–1 = x-13z=15y-8z=9z=-1 = x-13(-1)=15y-8(-1)=9z=-1 = x=2y=1z=-1 x,y,z=(2 , 1 , -1) Determinants and Cramer’s Rule: 2. Find the determinant of the given matrix. 8–2–12 8–2–12 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. Solve the given linear system using Cramer’s rule.
What is the median of the above values? The median is calculated by adding together the two middle numbers and dividing by 2 (2 values). The numbers must be in ascending or descending order. 5.0+5.7=10.7/2=5.35=5.4 is the median of the numbers listed in this question. What is the mean of the above values?
Student designed practical investigation Title: Atwood’s Machine (Newtons 2nd law of motion). Partner: Qurban Aim: To explore how two different masses act with each other on a pulley and therefore calculate acceleration a (theoretical and experimental) and the Tension T. Hypothesis: When both masses are the same, there should be no acceleration. The larger the ratio between one mass and the other, the higher the acceleration should be. Materials: Pulley, string, mass 1 + 2, ruler, stopwatch, scissors Apparatus: Theory: Since we are trying to find a, the equations we need are: For experimental a: Transposed to: Theoretical a: For tension: where x = displacement u = initial velocity t = time taken = mass 1 = mass 2 Let Method: 1. Set up the apparatus in the diagram above.