Hey there! STEP 1: 1. Simplifying (4x + 3y)² results in (4x - 3y) 1. STEP 2: The equation results in (4x-3y) 1 divided by (16(x²) + 24xy + 9(y²)). STEP 3: Following similar resolutions results in repeating the process of simplification. After completing these steps, we factor and figure that (4x + 3y) is a perfect square, yielding (4x + 3y)². Hence, after numerous simplifications, we achieve that the result concludes to be 4x-3y. I hope this helps!
Pour expliquer pourquoi la distance entre la fourmilière et chacune des fourmis est constante, on peut diviser les variables par un calculateur et considérer les coordonnées comme une provenance
Explication étape par étape:
Let's denote the orbital period of planet X as T and its average distance from the sun as A. For planet Y, let its orbital period be T_1, implying that if planet Y's mean distance from the sun is twice that of planet X:
This indicates that the orbital period for planet Y increases by a factor of 
Answer:
(1, 3)
Step-by-step explanation:
Provided:
A circle containing these specified points-
(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).
A function resembles a mechanism that produces an output for each unique input. Each input must yield a distinct output.
The function's input is characterized as the domain, and the output corresponds to its range.
The domain is indicated by the 'x' coordinate while the range is represented by the 'y' coordinate.
This means the domain serves as the independent variable, and the range is contingent upon the domain’s values.
In this case, a relation or set of points constitutes a function only if every 'x' in the ordered pairs is unique.
Within the described relation, the pairs (1, 1) and (1, 3) share the same input. Thus, removing either one will convert the relation into a function.
Therefore, choosing (1, 3) is the right answer.
In detail: Based on the central limit theorem, the distribution appears normal due to the large sample size. The confidence interval is presented in the format: (Sample mean - margin of error, sample mean + margin of error). The sample mean, denoted as x, serves as the point estimate for the population mean. The confidence interval is computed as: mean ± z × σ/√n, where σ represents the population standard deviation. The formula transforms into confidence interval = x ± z × σ/√n, with specific values: x = $75, σ = $24. To find the z score, we subtract the confidence level from 100% which gives α as 1 - 0.96 = 0.04; halving this results in α/2 = 0.02, signifying the tail areas. To ensure we account for the center area, we have 1 - 0.02 = 0.98, corresponding to a z score of 2.05 for the 96% confidence level. The confidence interval becomes 75 ± 2.05 × 24/√64 = 75 ± 2.05 × 3 = 75 ± 6.15. The lower limit is 75 - 6.15 = 68.85, while the upper limit stands at 75 + 6.15 = 81.15. For n = 400, with x = $75 and σ = $24, the z score remains 2.05, resulting in the confidence interval calculated as 75 ± 2.05 × 24/√400 = 75 ± 2.05 × 1.2 = 75 ± 2.46. Subsequently, the lower bound becomes 75 - 2.46 = 72.54, and the upper limit adds up to 75 + 2.46 = 77.46. Lastly, when n = 400, x = $200, and σ = $80, the z score tied to a 94% confidence level is 1.88. Thus, the confidence interval is expressed as 200 ± 1.88 × 80/√400 = 200 ± 1.88 × 4 = 200 ± 7.52, giving us a margin of error of 7.52.
