The selection including value-added tax at Ikea means that the prices displayed on the products already include the tax. This makes it easier for customers to know the total cost of the item they are purchasing without having to calculate the tax separately. It provides transparency and convenience for customers, as they can see the final price upfront. **

Yes, the matrix can be solved using the Gaussian elimination method without pivoting. This is because the matrix is not singular, meaning it has a non-zero determinant and is invertible. Therefore, the Gaussian elimination method can be applied to solve the system of equations represented by the matrix. **

To determine if a matrix is solvable using the Gauss elimination method without pivoting, we need to check if the matrix is non-singular. A matrix is non-singular if its determinant is non-zero. If the determinant of the matrix is non-zero, then the matrix is solvable using the Gauss elimination method without pivoting. If the determinant is zero, then the matrix is singular and cannot be solved using the Gauss elimination method without pivoting. **

Peak value refers to the maximum value reached by a waveform, while effective value refers to the equivalent value of a waveform that produces the same amount of power as a DC signal. In simple terms, peak value represents the highest point of a waveform, while effective value represents the equivalent steady value of the waveform. Effective value is also known as the root mean square (RMS) value. **

The mean value of a set of numbers is the average of those numbers, calculated by adding all the numbers together and then dividing by the total count of numbers. On the other hand, the effective value (also known as the root mean square or RMS value) is a measure of the "effective" or "average" value of a varying quantity, particularly in the context of alternating current (AC) electricity. It is calculated by taking the square root of the average of the squares of the values. In summary, the mean value represents the average of a set of numbers, while the effective value represents the average power of a varying quantity. **

The effective value of an AC signal is calculated by taking the square root of the mean of the squares of the signal over one complete cycle. This is also known as the root mean square (RMS) value. The peak value of an AC signal is simply the maximum value that the signal reaches during one complete cycle. In mathematical terms, the peak value is equal to the square root of 2 times the effective value. **

To calculate the effective value (RMS) of a periodic function, you square the function, find the average value over one period, and then take the square root of the result. The formula for the effective value is given by Vrms = sqrt(1/T * ∫[0 to T] (V(t))^2 dt), where T is the period of the function and V(t) is the function itself. To calculate the peak value, you simply find the maximum absolute value of the function over one period. This is the highest value that the function reaches, regardless of whether it is positive or negative. The formula for the peak value is given by Vpeak = max(|V(t)|), where V(t) is the function. **

The selection of African elephants can be considered stabilizing selection. Stabilizing selection occurs when the average phenotype is favored, and extreme phenotypes are selected against. In the case of African elephants, traits such as tusk size and body size may be under stabilizing selection, as individuals with average-sized tusks and bodies are more likely to survive and reproduce. On the other hand, directional selection may also be at play in certain traits of African elephants. Directional selection occurs when one extreme phenotype is favored over the other, leading to a shift in the average phenotype over time. For example, if there is increased poaching pressure on elephants with larger tusks, this could lead to directional selection favoring individuals with smaller tusks. Overall, the selection of African elephants likely involves a combination of stabilizing and directional selection, depending on the specific traits and environmental pressures at play. **