Given:
Oil flow: n(t) = 7t where t is time and n = how far the oil is spreading
Area of the circular pattern the oil is forming:
A(n) = πn²
<span>Part A: Find the area of the circle of spilled oil as a function of time, or A[n(t)]
A[n(t)] = </span>π (7t)² = π * 49 * t²
<span>How large is the area of spilled oil after 8 minutes?
n(t) = 7t </span>→ 7 * 8 = 56
A(56) = 3.14 * 56² = 9,847.04 square units
or
A[n(t)] = π (7t)²
A[n(8)] = 3.14 * (7*8)² = 3.14 * 3,136 = 9,847.04 square units
Answer:
The acceleration is 2.9m/s^2
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Step-by-step explanation:
Given
Required
Determine the acceleration
This question will be answered using Newton's first equation of motion.
Substitute values for v, u and t
Collect Like Terms
Solve for a
<em>Hence, the acceleration is 2.9m/s^2</em>
Answer:
23 and 14
Step-by-step explanation:
The sum of x and y is 37. In other words, x plus y equals 37 and can be written as equation A:
x + y = 37
The difference between x and y is 9. In other words, x minus y equals 9 and can be written as equation B:
x - y = 9
Now solve equation B for x to get the revised equation B:
x - y = 9
x = 9 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 37
9 + y + y = 37
9 + 2y = 37
2y = 28
y = 14
Now we know y is 14. Which means that we can substitute y for 14 in equation A and solve for x:
x + y = 37
x + 14 = 37
X = 23
Summary: The sum of two numbers is 37 and their difference is 9. What are the two numbers? Answer: 23 and 14 as proven here:
Sum: 23 + 14 = 37
Difference: 23 - 14 = 9
Answer:
4:10.
Step-by-step explanation:
4:10 would be one.
