The correct answer is the option D, which is: <span>D. 78 cm; 39 cm; 30.3π cm
The explanation is shown above:
1-The formula for calculate the circumference of a circle is:
C=2</span>πr
78π=2πr
2- The radius is:
r=78π/2π
r=39 cm
3- The diameter is:
D=39 cm x 2
D=78 cm
4- The arc length is:
arc length=(140°π/180°)(39 cm)
arc length=30.3π cm
Answer:
11.9
Step-by-step explanation:
-11.9/-1
so the both cancel out each other
so it will just be 11.9 ,since it is -1
Answer:
D. there is more variability among female students with respect to GPA
Step-by-step explanation:
The standard deviation is a measure of how spread out from the mean the values within a set are. If the standard deviation for females is much higher, that means that the variability in GPAs for female students is higher than that of male students.
Therefore, it is fair to conclude that there is more variability among female students with respect to GPA.
Try to put all the x-es on one side and then find a value of one x. In this case:
x + 36 = 4x / -x (both sides)
36 = 3x / :3 (both sides)
x = 12
Dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)
So you have the correct answer. Nice job.
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Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)
y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)
Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)
