Answer:
L ≈ 1023.0562
Step-by-step explanation:
We are given;
x = t² - 2t
dx/dt = 2t - 2
Also, y = t^(5)
dy/dt = 5t⁴
The arc length formula is;
L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt
Where α and β are the boundary points. Thus, applying this to our question, we have;
L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt
L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt
L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt
Using online integral calculator, we have;
L ≈ 1023.0562
Use the following formula to find the answer to this question:
S * Q + M * Q = P
Representations:
S = The amount of points for short-answer questions.
M = The a<span>mount of points for m</span>ultiple-choice questions.
Q = Number of questions for each of the type of questions that add up to the total number of questions on the test (20 questions).
P = Total points on the test.
Since there is a total of 50 points on the 20 question test, you would need to divide up the amount of questions there are for each of the type there are on the test, short-answer, and multiple-choice.
3 * Q + 1 * Q = P
Now find how many of the type of questions there are out of 20 questions on the test that would add up to the total number of points on the test.
3 * Q + 1 * Q = 50
(15 + 5 = 20 questions on the test, 15 and 5 can be used for the number of questions for each type of question on the test).
3 * 15 + 1 * 5 = 50
45 + 5 = 50
50 = 50
So, your total number of multiple choice questions are: 5.
And, your total number of short answer questions are: 15.
I would go with D. for your answer. I may be wrong.
<em>I hope this helps. </em>
<em>~ Notorious Sovereign</em>
The distance formula is the radical (x2-x1)2 + (y2-y1)^2. So for the x value, you subtract (-1) from 8. But be careful. It’s not 8-1. IT’S 8-(-1). Which x value, 9 should be squared. Which it is 81. The y value, you subtract 0 from 6. Which you should have 6 as your y value. Then, again you have to squared it. So, 6^2 is 36. Now that you have both of your x and y value, you have to subtract them again. In order to subtract, you subtract the y value from the x value. In other words, 81-36. The answer should be 45. But 45 is irrational. Because it can’t be rational under the radical form. So to simplified it, you have to find a number that is rational enough to get out from the inside of the radical form. The only number that would work is 9 and 5. So rad 9 is rational because it could escape from the inside. Which it’s 3 once it’s out. But, 5 is irrational and can’t go out. As a result, the answer is 3 rad 5. Or the 3 is outside of the radical form and 5 is the inside.
Answer: OPTION D
Step-by-step explanation:
The formula for calculate the surface area of a rectangular prism is:
Where w is the width, h is the height and l is the length.
You can see in the figure attached that:
l=3.4ft
w=3ft
h=4.1ft
Therefore, when you substitute these values into the formula you obtain that the surface area is:
![SA_{rp}=2[(3ft*4.1ft)+(3.4ft*3ft)+(3.4ft*4.1ft)]=72.88ft^{2}](https://tex.z-dn.net/?f=SA_%7Brp%7D%3D2%5B%283ft%2A4.1ft%29%2B%283.4ft%2A3ft%29%2B%283.4ft%2A4.1ft%29%5D%3D72.88ft%5E%7B2%7D)
Answer:
35x = 155-15
It will take 4 months.
Step-by-step explanation:
