To round the figure 47,125 to the closest tenth, hundredth, and thousandth, it's essential to recognize the positions of these places. The tens position is the second digit from the right. The hundreds position is the third, and the thousands position is the digit immediately following the comma. For rounding to the tens place, you must inspect the digit directly behind it (the ones place) and evaluate. If this digit is between 0-4, you won’t round the tens place, but if it falls between 5-9, rounding is permissible. The same regulation applies when rounding up for the hundreds and thousands places. Consequently, the number arrived at is - 47,135.
Response:
The graph in question is linked to g(x) = -2x, though it is not provided.
Detailed explanation:
A reflection across the y-axis changes the sign of the x-coordinate for every point. To derive the new function, we substitute x with -x:
g(x) = f(-x) = 2(-x) = -2x
This leads us to g(x) = -2x.
Answer:
The tangent plane equation for the hyperboloid
.
Step-by-step explanation:
We have
The ellipsoid's equation is

The equation for the tangent plane at the point 
(Given)
The hyperboloid's equation is

F(x,y,z)=


The tangent plane equation at point 

The tangent plane equation for the hyperboloid is

The tangent plane equation

Hence, the required tangent plane equation for the hyperboloid is

9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
The volume calculation for the dimensions of 16 ft by 18 ft by 1/3 ft is as follows:
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
Thus, 96 cubic feet of concrete will be required.