Evaluate the triple integral ∭Tx2dV, where T is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,3,0), and (0,0,3).
bixtya [17]
Answer:
the integral I=81
Step-by-step explanation:
for the integral I

where T is the solid tetrahedron , then

the integral is equal to 81
The perimeter of a rectangle is
2l + 2w
This has to be less than 30 because she has less than 30 inches of wood altogether.
The length must also be "no more than", which means less than or equal to, 12 inches.
Option A satisfies both of these conditions.
Answer:
In 2015, the financial statements of Ultimate Medical Center reported $500,000 in total revenues and $145,000 in net income. The balance sheet showed net assets of $350,000. Calculate the operating margin ratio and the return on equity rate for Ultimate Medical Center.
Step-by-step explanation:
Xy is (1,2) because 1+2=3 and 1^2+2^2=5 therefor ur answer is xy= (1,2)
Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
e) The correlation coefficient, r, is 0.397.
Step-by-step explanation:
Given that:
Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158
Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.
Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397