Show how you determined the total height of your alien and include what units you used to measure. 1 point Slide 5: The total area of the alien must be given (find the area of each polygon and add all of the areas together – show all of your work). 3 points
Then, subtract 4 from 7. h4=3 3 When subtracting 4 from 7 the answer is 3. h4=3 3 Cancel out the common factors of 3 from the expression. h4=1 The final answer is 1. Simplifying the f function = f4=2(4)+5 Replace the variable x within the expression f4=2•4+5 Remove the parenthesis and multiply 2 by
This means that this problem can be solved cross multiplying the extremes and means of the problem. y – 1/x +3 = -3/4 This is the problem that we were given to solve for y. First we multiply both sides by x+3 so we will have y-1(x+3) =-3/4(x+3) Then we simplify so we are left with y-1= -3/4x+3 Then we add 1 to both sides which gives us y-1(+1) = -3/4x+ 3(+1) Now we simplify again which us leaves
Read on to see examples of how calculus is used in astronomy. An Essential Element Calculus is the mathematical language that describes change. One of the most common uses of calculus is to find the rate at which the position of a moving body changes with time. The laws of planetary motion that are commonly used by astronomers to calculate orbits are derived using calculus. An astronomer who wants to send a rocket into space uses calculus to work out how much fuel the rocket needs to accelerate to the correct velocity.
This time difference multiplied by the speed of light (300,000 km/sec) gives the distance. Exact coordinates can be calculated for any position on earth by measuring the distance from a group of satellites to the position. When the distance to one satellite is known, the position can be narrowed down to the surface of a sphere surrounding that
We can conclude that the data are Poisson distributed. Chi-Square test of independence Problem 12.12 Use the following contingency table to determine whether variable 1 is independent of variable 2. Let α = .01 | Variable 2 | Variable1 | 24 | 13 | 47 | 58 | | 93 | 59 | 187 | 244 | Step 1 Ho: the two classifications are independent Ha: the two classifications are dependent Step 2 d.f = (r – 1) (c – 1) Step 3 α = 0.01 x 2 0.01, 3df = 11.3449 Step 4 Reject Ho if x 2 > 11.3449 | Variable 2 | Total | Variable1 | 24 (22.92) | 13 (14.10) | 47 (45.83) | 58 (59.15) | 142 | | 93 (94.08) | 59 (57.90) | 187 (188.17) | 244 (242.85) | 583
Convert the given system to the matrix form: [pic][pic] = [pic] 2 marks ii. Form the augmented matrix: 2 3.5 3 : 1200 3 2.5 2 : 1150 2 marks 4 3 2 : 1400 If you are familiar with this stuff you can skip Steps 1 & 2. iii. Apply row operations to reduce the matrix to the upper triangular form: ( 2 3.5 3 1200 ( -1.5 -2 3 2.5 2 1150 ( ( 4 3 2 1400 ( ( -2.75 -2.5 -650 ( ( ( -4 -4 -1000 ( -0.6875 ( 0.25 37.5 12
The first principle states that if there is no force applied to the gyro, the spin axis of the gyro wheel tends to remain in a fixed direction in space. Precession is the tilting or turning of a gyro in response to a force. For instance, whenever a plane changes direction, small perpendicular force applied to gyro. As result of, the gyro will rotate 90 degrees ahead of that point of force. Gyroscope is being used in almost every vehicle especially in airplane’s instrument such as altitude indicator, heading indicator, and turn coordinator.