In 2013, a man in new zealand set a record for the deepest dive by a person without equipment. He dove 100 meters below sea level! The deepest dive ever recorded by a bottlenose dolphin is 200 meters lower than this . What is the deepest dive ever recorded by bottlenose dolphin relative to sea level

300 meters below sea level

Step-by-step explanation:

Given that the reference plane with respect to each dive is the sea level.

The deepest dive by the man below sea level = 100 meters

The bottlenose dolphin's deepest dive below sea level = 200 meters lower than that of the man.

Since the dolphin dove further than that of the man, it shows that it went deeper than that of the man by 200 meters.

Thus,

The deepest dive ever recorded by the dolphin = 200 + 100

                                                            = 300

The deepest dive ever recorded by the dolphin relative to sea level is 300 meters.

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)