Answer:
8:30 PM
Step-by-step explanation:
Let's say that x is minutes since 6:20 PM, and y is position in miles.
Since Jonathan drives at a constant rate, the position vs time graph is linear. Two points on the line are (0, 75) and (20, 85). The slope of the line is:
m = Δy / Δx
m = (85 − 75) / (20 − 0)
m = ½
So the equation of the line is:
y = ½ x + 75
We want to find x when y is 140.
140 = ½ x + 75
65 = ½ x
x = 130
So 130 minutes after 6:20 PM is when Jonathan's position will be 140 miles. 130 minutes is 2 hours and 10 minutes. So the time will be 8:30 PM.
Answer:
No solution
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term. In other words, <em>a n +a1 ⋅ r n -1</em><em> </em>
Geometric Sequence:<em> </em><em>r = 2</em>
The series given has a value of<em> </em><em>r </em>such that <em>r > 1 or
r < − 1.</em> Therefore, the infinite sum cannot be calculated.<em>
</em>
<em>
</em>
<em>
</em>
The domain { x | x = -5 , -3 , 1 , 2 , 6}
Answer:
187
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
(3 + 2)² × 7 - 13 + 5²
<u>Step 2: Evaluate</u>
- (Parenthesis) Add: 5² × 7 - 13 + 5²
- Exponents: 25 × 7 - 13 + 25
- Multiply: 175 - 13 + 25
- Subtract: 162 + 25
- Add: 187
