To achieve the desired output, first use the machine with the function y = x^2 - 6, followed by the machine that computes y = sqrt(x-5). This way, when you input 6, the output from the first machine is calculated as x = 6, yielding y = 6^2 - 6, resulting in 30 as the input for the second machine. The second machine then processes this to provide the final output of sqrt(30 - 5), which equals sqrt(25) = 5. Alternatively, to obtain a negative final output, you should first utilize the machine with the function y = sqrt(x-5). Assuming you start with the value x = 9, the first machine computes this to sqrt(9-5), which is sqrt(4) = 2. Then, the second machine converts y to 2^2 - 6, leading to a result of 4 - 6 = -2.
With a height exceeding 550 meters, the CN Tower held the title for the tallest free-standing structure globally until the Burj Khalifa was completed in 2010, reaching 828 meters, making it the largest man-made structure ever.
Options
- Counting rule for permutations
- Counting rule for multiple-step experiments
- Counting rule for combinations
- Counting rule for independent events
Answer:
(C) Counting rule for combinations
Step-by-step explanation:
To find the number of outcomes when selecting n objects from N objects, we apply either permutation or combination.
- If the order of selection matters, we utilize permutation.
- On the other hand, if the order of selection does not matter, we opt for combination.
Thus, the counting method employed for determining experimental outcomes when selecting n objects from N objects without regard to selection order is referred to as the counting rule for combinations.
Given: The car's total expense is 29,000 dollars, payable in three parts, labeled x, y, and z. Objective: Determine the values of x, y, and z. It's established that double the first installment equals $1,000 more than the total of the third installment alongside three times the second installment. This leads to the equation: 2x = $1,000 + z + 3y. By rearranging: z = 2x - 3y - 1,000. We also have the equation x + y + z = $29,000 + $2,100 or x + y + z = $31,100. From this point, we simplify and proceed to solve for x, y, and z step by step.
