It is estimated that a brachiosaurus weighed around 124, 000 pounds. a tyrannosaurus rex weighed about 8.16*10^3 kilograms. of a tyrannosaur eats an entire brachiosaurus, about how much will the tyrannosaur weigh? use scientific notation and give your answer in grams.

  6.44×10⁷ g

Step-by-step explanation:

The scenario seems unlikely, as a brachiosaurus weighs about 6.9 times as much as a tyrannosaur. The sum of the two weights is ...

  8.16×10³ kg + 1.24×10⁵ lb

  = 8.16×10³ kg + (1.24×10⁵ lb)/(2.2046 lb/kg)

  = 8.16×10³ kg + 5.62×10⁴ kg

  = 6.44×10⁴ kg . . . . . rounded to 3 significant figures

  = 6.44×10⁷ g . . . . . . weight of not-so-hungry tyrannosaur

1 kg = 10³ g

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)