Carbon-14 has a half-life of 5370 years. This means that
after 5370 years half of the atoms have decayed.
How many years will it take for a quantity of carbon-14
to become 1/8 of its original size?

a quantity of carbon - 14 will take 1342.5 years to become 1/8 of its original size.

Step-by-step explanation:

1/2 of the atoms decayed after 5370 years

now half of( 1/2 of )the atoms decayed after 5370/ 2 years

i.e, 1/4 of the atoms decayed after 2685 years.

again half of (1/4 of the atoms ) decayed after 2685/2 years

i.e, 1/8 of the atoms decayed after 1342.5 years.

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.