Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.
Each expansion is a polynomial. There are some patterns to be noted.
1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.
2. In each term, the sum of the exponents is n, the power to which the binomial is raised.
3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.
4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.
The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg
The given parameters;
- <em>Mass of the apple juice, m = 30 kg</em>
- <em>current percentage, = 10%</em>
- <em>final percent after increment = 25%</em>
Let the mass added to increase the percentage to 30% = x
10% ----------------- 30 kg
25% ------------------ ?
The additional mass is calculated as;
Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.
Learn more about percentage and ratio here: brainly.com/question/11752721
Step-by-step explanation:
(2/3) * (3/8)
= (2 * 3) / (3 * 8)
= 6 / 24
= 1/4.
