Is the following number rational or irrational? Choose the appropriate reason. PA N. 1.4 7+ V5 Rational, because it is the sum of two rational numbers. Rational, because it is the sum of a rational and an irrational number. Irrational, because it is the sum of two irrational numbers Irrational, because it is the sum of a rational and an irrational number. There is not enough information to answer the question.

b

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the answer is: 5,953.2 mm²

you have the  8-sided octahedron as a composite figure that has 2 square pyramids. so, you should   apply the formula for the calculated area of a square pyramid as so:   a=s²+2sl

  a is the area of the square pyramid.

  s will be the base of the square pyramid (s = 33 mm).

  l is the slant height of the square pyramid (l = 28.6 mm).

then, when you substitute these values into the formula you get:

  a=s²+2sl

  a=(33 mm)²+2(33 mm)(28.6 mm)

  a=1089 mm²+1887.6 mm²

  a=2,976.6 mm²

thus, the area of the  surface area of the octahedron is:

sa = 2a

sa = 2(2,976.6 mm²)

sa = 5,953.2 mm²

thus the answer will be: 5,953.2 mm²