Find a) 1.5 % of 50 b) 4.2 % of 500 kg c) 5.7 % of $3000 [3 marks] 5. Calculate these and write each answer in standard form. a) 102 x 103 b) 104 x 101 c) 106 ÷ 104 d) 108 ÷ 1 million [4 marks] 6. Write each of these in standard form a) 45 089 b) 87050 c) 29.83 million [3 marks] 7. Write each of these correct to 1 significant figure.
You have to select the correct choice.) (a) ± 5 (b) ± 6 (c) ± 2 6 2. 51 + 52 + 53 + ........ + 100 is equal to : (a) 3775 (b) 4025 (c) 4275 PR AK 1. If the quadratic equation 2x2 – kx + 3 = 0 has equal roots, then the value of k is : (d) ± 3 2 AS H AN (d) 5050 3. In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm.
b) Find the 16th term. c) Find the term equal to 179. 3 Ques.6: Write the following as a fraction: a) 0.15 = b) c) Ques.7: Find the value of . a) b) 4 Ques.8: Solve the following equations: a) b) c) 5 Ques.9: Solve the following inequalities: a) b) and c) 6 Ques.10: Solve the following simultaneous equations Ques.11: Solve each problem by forming two pairs of simultaneous equations: a) Find two numbers where three times the smaller number exceeds the larger by 5 and the sum of the numbers is 11. 7 b) Twice the difference between two numbers is 8.
Finally finish by clicking the OK button. As you can see, Minitab computes a number of numerical measures characterizing the dataset. The mean of the dataset is 8.492 as shown in Example 2.4 in your text. In addition, the median is shown to be 8.050 as shown in Example 2.6 in your text. Refer back to Example 2.4 to understand the significance of the difference between the mean and the median.
b) Answer: Show your work in this space: After what time t was the average score 50%? Round your answers to two decimal places. c) Answer: Show your work in this space: 4) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by ⎛ r⎞ A = P⎜1 + ⎟ ⎝ n⎠ A is the amount of the return. P is the principal amount initially deposited. r is the annual interest rate (expressed as a decimal).
Next, switch the X and Y in the equation. This will leave you with x=5y+10. From this point on, solve for y, even if the y value had an x variable inside of it. We can solve for y by first subtracting 10 on each side of the equation, giving us x-10=5y. Then dividing each side by 5.
The method used to convert the measurement in inches to a decimal was to take the recording of the number plus the fraction out of 8 and add it to the nearest tenth of the smallest division. For the Vernier Caliper, we recorded the reading by finding a mark on the sliding scale that lined up with any mark on the fixed scale. Then the lines that line up with the number on the fixed scale is recorded based on the intervals between two of the numbers. For the micrometer, the number of millimeters on the frame is first read. If the next mark is visible, we add 0.5 mm.
A balance was used to measure the mass (m). The mass was then divided by the volume to obtain the density (ρ) of the steel ball. This was done for all 5 measurements to obtain an average density (ρ av.). The average density was then subtracted from the density of each to obtain a mean deviation of density (|dpi|) which was then averaged. The average density was compared with the accepted average density (7.8*103 kg/m3) provided in the lab’s manual.
Quadratic Equations I am asked to complete the exercises in the “Projects” section on page 397 of Mathematics in Our World. I am to be concise in my reasoning. Please see below my work for Project One and Project Two. Project One: Equation (C): x² + 10x - 40 = 0 (a) Move the constant term to the right side of the equation. X² + 10x - 40 = 0 x² + 10x - 40 + 40 = 0 + 40 x² + 10x + 0 = 0 + 40 x² + 10x = 0 + 40 x² + 10x = 40 (b) Multiply each term in the equation by four times the coefficient of the x squared term.
The steps are: a) Move the constant term to the right side of the equation. b) Multiply each term in the equation by 4 times the coefficient of the x² term. c) Square the coefficient of the original x term and add it to both sides of the equation. d) Take the square root of both sides. e) Set the left side of the equation equal to the positive square root of the number on the right side and solve for x. f) Set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x.