Answer:
C. 78.5 in^3
Step-by-step explanation:
A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:
We know that the height is 4 inches and the radius is 2.5 inches.
r= 2.5 in
h= 4 in
Evaluate the exponent.
Multiply 6.25 in^2 and 4 in.
Multiply pi and 25 in^3.
Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.
78.5 cubic inches can fill one soup can.
Option: A is the correct answer.
A. -0.903
<h2>Step-by-step explanation:</h2>The formula to calculate correlation coefficient r is given by:
x y xy x² y²
4 23 92 16 529
5 12 60 25 144
8 10 80 64 100
9 9 81 81 81
13 2 26 169 4
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∑ 39 56 339 355 858
Also n=5 ( as there are 5 data points )
Hence, we get:
Hence, the r-value of the following data, to three decimal places is:
A. -0.932
I'll assume you're supposed to compute the line integral of over the given path
. By the fundamental theorem of calculus,
so evaluating the integral is as simple as evaluting at the endpoints of
. But first we need to determine
given its gradient.
We have
Differentiating with respect to gives
and we end up with
for some constant . Then the value of the line integral is
.
