Express 8.21 as a mixed number.

Answer:

x6 − x3 − 20 = (x3)2 − x3 − 20 = (x3 + 4)(x3 − 5)

Step-by-step explanation:

In this trinomial, the exponent of the first term, 6, is double the exponent in the second term, 3. And, the third term contains no variables. So, we can factor the expression as we would a quadratic, but treating x3 as if it were x:

Answer:

(x³ - 5)(x³ + 4)

Step-by-step explanation:

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x³ term (- 1)

The factors are - 5 and + 4, since

- 5 × 4 = - 20 and - 5 + 4 = - 1, hence

- x³ - 20 = (x³ - 5)(x³ + 4)

Answer:

C. as likely as not

Step-by-step explanation:

The teacher makes two groups with the same number and divides the student at random. The two groups have equal size, so the chance for someone to get picked into group 1 is 100%/2= 50%. The chance for someone to get picked into group 2 will be also 100%/2= 50%

The chance to get picked to be in group 1(50%) is the same as the chance to NOT get picked into group 1(50%). The word to explain this chance will be "as likely as not".

The answer for this problem would be 628.3 Cubic Meters.

To solve, simply follow the way of finding the volume of a cylinder.

Calculate volume of a cylinder: V = πr2h.

Calculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrh.

Calculate the top and bottom surface area of a cylinder (2 circles): T = B = πr. ...

Total surface area of a closed cylinder is:

628.3

Hope this helps:}