Answer: (-2, -2)
Step-by-step explanation:
When you approach these types of questions, first look for a pattern. Both the x and y value are divided by 2.5 in the image, so do the same with point t. The image would be -5/2.5, -5,2.5 or -2, -2
Ok, here we go. Pay attention. The formula for the arc length is

. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is

(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of

. Integrating that we have

from -1 to 2.

gives us

. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly:

which simplifies to

. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with

. And there you go!
Answer:
314 cm ^ 2
Step-by-step explanation:
First do, 3.14 x 20 ^ 2
3.14 x 20 ^ 2 = 1,256
Then do, 1,256/4
1,256/4 = 314
Why 4?
This part of the circle is 1/4 of the entire circle.
What does ^ mean?
It's just a way to say to the power of on a computer.
Hope this helps! :)
Answer:
Option D) 340
Step-by-step explanation:
We are given the following in the question:
Alpha, α = 0.05
Population standard deviation, σ = $47
Margin of error = 5
95% Confidence Interval:


Putting the values, we get,


Thus, the correct answer is
Option D) 340