Here are the basic steps to follow to simplify an algebraic expression:<span>remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
<span>combine the constants.</span></span>
The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (4, 1.2)
Point (10, 6)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
- Subtract:
- Divide:
Answer:
1. 2
2. -9
3. 2+-9
4. -7
5. -15 + 8 = -7
Step-by-step explanation:
The surface of the water is 0. If Paula is above the surface of the water than she is positive. If she is below or heading down she is negative. She starts 2 feet above which is 2. She descends a total of -9 from 2 to -7. She ends up -7 or 7 feet below surface. So she travels from 2+-9 = -7.
Yolanda owes her friend $15 or -15. She earns $8 a week or +8. If she earns 8 dollars this week and pays Yolanda back then -15+8=-7. She now owes $7.
