The inquiry requests that I calculate and formulate the parametric representation for the specified surface and the plane that includes the vector i - j and j - k, originating from the origin. Based on my development of this, the equation for the surface in parametric form can be expressed as S:(U,V,-U-V). I hope this information is useful.
Jerome's share of the total profit amounts to one-third. To determine the overall profit of the company, multiply his profit by 3.
If he earned $150,000, the calculation would be:
150,000 × 3 = $450,000
So, the total profit is $450,000.
The dot simply represents multiplication.
Answer:
Upper limit: 3.116
Lower limit: 3.125
Step-by-step breakdown:
The random circle drawn by Hellen has a circumference of C=405 mm, measured to 3 significant figures, leading to a diameter, d, of 130 mm, accurate to 2 significant figures.
We utilize the formula

Substituting in the figures provides:


Consequently, Hellen’s value for π is recorded as 3.115 to three decimal places.
To find both limits, we divide the specified level of precision by two.

This figure is then added to the rounded number to determine the upper limit:
3.115+0.0005=3.1155
The lower limit calculates as 3.115-0.0005=3.1145
Only numbers that are composite factors and that, when increased by 1, divide evenly into 48 will work. Thus 15 is suitable. Fifteen is composite, and adding 1 to it gives a number that divides 48. Therefore the son is 15.
A vacuous proof has been employed. The proposition p(n) states: "if n is a positive integer greater than 1, then n² > n." To prove p(0), it translates to "if 0 is a positive integer greater than 1, then 0² > 0." Since the premise stating that "0 is a positive integer greater than 1" is false, the overall implication holds true. This exemplifies that in vacuous proof, if a statement's premise is false, the implication remains trivially true.