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3 years ago

Which expression is equivalent to 12 + 24 p. A 2(6+24p) B 3(9+21p) C 4(3×6p) D 6 (2+3p)

Mathematics

2 answers:

vekshin13 years ago

7 0

I think the answer is c:)

Iteru [2.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

A. 2*6 = 12 but 24p*2 doesn't equal 24p

B. 3*9 doesn't equal 12, and 3*21p doesn't equal 24p

C. 4*3 equals 12 and4*6p=24p

D. 6*2=12, but 6*3p doesn't equal 24p

I hope this helps!!!

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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.

3 0

3 years ago

What is the simplified form of the quantity 9 x squared minus 25 over the quantity 3 x plus 5 ? (1 point) 3x + 5, with the restr

Solnce55 [7]

If so, start by factoring the numerator. Then cancel any common term in the numerator and denominator. If you end up with no denominator, then use the original denominator. Set it equal to zero and solve for x. That value of x will be the restriction.

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3 years ago

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Answer:

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