Move the options into the paragraph to complete the explanation that the product of a rational number and an irrational number is irrational.
Let y equal the product of rational number 4 and irrational number 5.
Assume y = 415 is a rational number. The equation can be rearranged to find V5 =
Since y and 4 are both rational numbers,
must be rational.
However, because
is irrational, then
4
must be irrational because
must be irrational
Because we know 4 is a rational number, then

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

answer: 1+1

step-by-step explanation: 1+1 is at least 2

first, let's see what the pattern is.

58 - x = 47

46 - x = 36

x = 9

so this means that the term after 25 is 25 - 9:

the next term in the sequence is 16.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.