<2,14> thats the answer its complicated but i got it after the 2nd try
20/2-10/5. You divide 20 by 2 and subtract that from 10 divided by 5
Recall the Laplace transform of a second-order derivative,

and the transform of cosine,

Here, both
, so taking the transform of both sides of

gives


If you notice the tickmarks, that means all slanted sides are of length 2.5
now, a triangular prism, is just two triangles and three rectangles stacked up to each other, check the picture below, like so. So to get the area of it, simply get the area of the rectangles and the triangles.
now, notice, the triangles have a base of 4 and an altitude/height of 1.5.
the rectangles on the left and right sides are just 2.5 x 6 each.
and the rectangle at the base of the prism, is a 4 x 6.
thus, the area of the triangular prism is just
Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.