a) b) c) d) 16. Which equation represents the Objective Function for the above problem? a) b) c) d) 17. Write the equation of a square root graph that has been vertically compressed by a factor of , reflected over the x-axis, translated down 2 units and right 3 units. 18.
(b) Solve the circuit. That is find all unknown currents, voltages, and resistances. 6. Consider the circuit in Figure 4, where R1 = 5.00×102Ω, R2 = 1.00×103Ω, and VB = 10.0V . (a) Find the equivalent resistance Req of the circuit.
Lab 1 This lab exercise covers: * an introduction to C programming * arithmetic statements * Standard input output * Mathematical functions Exercise 1.1 Write a program that prints the string “Computing Systems & Programming” to the screen, reads an integer from the keyboard, and print the integer to the screen. Exercise 1.2 Write the following program. Compile, link and run it. #include<stdio.h> int main () { int year; float height; year = 21; height = 1.77; printf("Ali is %d years old and %f meter height\n", year, height); return 0; } Exercise 1.3 Write a program that demonstrates the use of the +,-,* and / operators for integers. Type the following program.
Quadratic Equations Quadratic Equations A quadratic equation is used for various mathematical functions. “An equation is called a quadratic equation or a second-degree equation when the largest exponent of the variable is two” (Bluman, 2012). The following problems show a method from India to solve quadratic equations. An interesting method for solving quadratic equations came from India. The steps are: a) Move the constant term to the right side of the equation.
Find the perimeter and area of the shaded sections of these shapes. (i) [7] (ii) [7] Total 60 marks Geometry and trigonometry Solutions to Topic assessment 1. The curve is a circle, centre O and radius 2. [2] 2. Substituting [pic] into [pic] gives [pic] Since the equation has a repeated root, the line meets the circle just once, and so the line is a tangent to the circle.
11 11. The roots of the quadratic equationare a) real, rational, and equal b) real, rational, and unequal c) real, irrational, and unequal d) imaginary 12. Express the roots of the equationin simplest a + bi form. 13. For which value of k will the roots ofbe real?
Find the length and the width of the court. 5. Solve this system of equations using the elimination method: 3a-3b=-15 -3a-3b=-3 6. Solve using the multiplication principle first. Then use the elimination method: 7p+5q=2
MA1310 – Week 3 Lab Answer the following questions to complete this lab: 1. State in a few words, what is an exponential function? * Functions whose equations contain a variable in the exponent. 2. What is the natural exponential function?
If so, the sample solution below will look a little different, but should still have the same fundamental steps. Instructors should grade on clear variable names, proper flow of program, the correct calculation, and the right output. Below is a sample solution to the programming problem. Step 10: Lab 3.2: Python Code Note to Instructor: Steps 1 - 5 require students to think critically about input and output and answer questions. Steps 6 - 18 in this lab require the student to write Python code to create a program.
Here is a formula that is used often in AP statistics: z=x-xs Use your algebra skills... a. If z = 2.5, x = 102, and x = 100, what is s? Show your work b. If z = -3.35, x = 60, and s = 4, what is x? Show your work.