x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
The <em><u>correct answer</u></em> is:
1.5% of the scores, or 3 people.
Explanation:
A z-score tells the number of standard deviations a data point is from the mean. Since Bob's score is 2.17 standard deviations above the mean, that means his z-score is 2.17.
Using a z-table, we find the probability that a score would be to the left of, or less than, this value. In the table, this is 0.9850. However, we are interested in the number of people that scored <em>higher</em> than Bob. This means we subtract this from 1:
1-0.9850 = 0.015.
This is the percentage of people that scored higher than Bob. To convert to a percent, multiply by 100:
0.015*100 = 1.5.
To find the number of people that scored higher than Bob, take 1.5% of 200:
0.015(200) = 3.
Answer:
3x^2 + 3 --> 6, 15, 30, 51
2x^2 - 1 --> 1, 7, 17, 31
x^2 + 2 --> 3, 6, 11, 18
Step-by-step explanation:
Let's start with the first equation; 3x^2 + 3
Substitute 1 (the first digit in a sequence) for x.
3(1^2) + 3
3(1) + 3
3 + 3 = <u>6</u>
3(2^2) + 3 Then the second digit.
3(4) + 3
12 + 3 = <u>15</u>
Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.
2(1^2) - 1
2(1) - 1
2 - 1 = <u>1</u>
This equation represents 1, 7, 17, 31.
These same steps apply to the other equation as well.
1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)
Answer:
ROCK 2.3 kg
is about 22.5N
Step-by-step explanation:
To convert kg>>>>N
You multiply by 9.8 (this is good for estimating, but use more decimal places like, 9.80665 for more exact calculations).
You can divide N÷9.8 to find kg
see image
D + 15 - 9 / 3 + 5 the answer is : d + 17
