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3 years ago

Can you regroup 43 and 28

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Answer:

Step-by-step explanation:

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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

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

Please help me out and with work included

irina1246 [14]

Hope that makes sense

3 0

3 years ago

Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:

lys-0071 [83]

The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

| 3 |
| -4 |
| 6 |

b) xi + yj + zk

=> 3i - 4j + 6k

4 0

4 years ago

15Points!!<br> Factor completely.<br><br><br> 12x² +28x

Zigmanuir [339]

Answer:

4x(3x+7)

Step-by-step explanation:

$12x^2+28x\\12xx+28x\\\\4\cdot \:3xx+4\cdot \:7x\\4x\left(3x+7\right)$

4 0

3 years ago

Find the solution set for this equation. Separate the two values with a comma.

adelina 88 [10]

Y^2 -11y = 0

We can factor it:
y * (y -11) = 0

So y = 11, 0

3 0

3 years ago

Read 2 more answers