Combine and simplify the radicals below sqrt3.sqrt8

over the next 30 years,some estimates place the worlds population going from roughly 7.2 billion people in the world to 10 billi

vredina [299]

Answer:

Current impact in pollution units per day=21.6 billion pollution units per day

Step-by-step explanation:

1 person consumes 3000 kilo-calories per person

Current population=7.2 billion people

Total calories the entire population produces=(7.2 billion×3000)

1000 kilo-calories causes= 1 pollution unit

To get the impact of the entire population=(7.2 billion×3000)/1000=21.6 billion pollution units per day

8 0

3 years ago

A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Differentiate the above formula with respect to time.

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

$\frac{1}{48\pi}=\frac{dr}{dt}$

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

When d=16

$3=4\pi 8^2\frac{dr}{dt}$

$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0

3 years ago

The pilot of a passenger jet announced that their cruising altitude was approximately 32,750 feet. How many miles above the grou

SpyIntel [72]

Answer:

formula = feet / 5280

=> 32750 / 5280

=> 6.20265.......

When rounded to the nearest tenth we get,

6.20 or simply 6.20

If my answer helped, please mark me as the brainliest!!

Thank You!!

5 0

3 years ago

Consider the set whose elements are the graphs having vertex set {1, 2, 3, 4}, and consider the relation on that set, where two

Damm [24]

Answer:

7

Step-by-step explanation:

Let S be the set of all graphs having vertex set \{1,2,3,4\}. The relation \rho is defined over S such that

the graphs G and H are equivalent provided that they have same number of edges. Then, the number of equivalence classes depends on how many edges can be there in the vertex set \{1,2,3,4\} .

The number of edges is 0 forms a disconnected graph which makes an equivalent class.

The graphs of 1 edge makes an equivalent class.

The graphs of 2 edges makes an equivalent class.

The graphs of 3 edges makes an equivalent class.

The graphs of 4 edges makes an equivalent class.

The graphs of 5 edges makes an equivalent class.

In similar way, the only graph of 6 edges is complete graph which forms another equivalent class.

Hence,the total number of equivalent classes is 7.

8 0

3 years ago

The defeintion of equivalent ratios

Hitman42 [59]

Tow ratios that have the same value when simplified.

Hope this helps!!;)

8 0

3 years ago