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3 years ago

Simplify 3x⁵y³ ÷2y² step by step

Mathematics

2 answers:

seropon [69]3 years ago

8 0

Answer:

3/2 x^5 y

Step-by-step explanation:

3x^5y^3

----------------

2y^2

Simplify the y terms

y^3 / y^2 = y^(3-2) = y

3/2 x^5 y

aleksandr82 [10.1K]3 years ago

7 0

Answer:

$\frac{3}{2} x {}^{5} y {}^{}$

Step-by-step explanation:

it's all in the image

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Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

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3 years ago

A scuba diver is 240 feet below sea level and descends 50 feet further down to observe the sea life.

taurus [48]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Alexxx [7]

Answer:

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3 years ago

Simplify 3x⁵y³ ÷2y² step by step​

Simplify 3x⁵y³ ÷2y² step by step