Answer:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
- First go to first equation
After 5 s, the particle traverses a path subtended by an angle of
(3π/4 rad/s) (5 s) = 15π/4 rad
Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:
15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then, will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have .
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have .
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have .
Now just add to find that .
So the 76th term is 167.
Answer:
The slope is 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given: The probability of brake pads that come off the production line are considered defective. = 0.2
Therefore, the probability that the brake pads are not defective=1-0.2=0.8
The probability that all 200 pads are not defective P(all 200 non defective)=
Then the probability that at least one brake pad is defective in an order of 200 pads
P(at least one defective)=1-P(all 200 non defective)