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2 years ago

What is the equation for the model?

Mathematics

1 answer:

gayaneshka [121]2 years ago

8 0

B five x equal to 4

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Write a Point-Slope equation for a line containing the given point and having the given slope. (-5, -6), m = 2

ladessa [460]

Answer:

Y=2x+4

Step-by-step explanation:

The x has to be at 0 so you count down by 2's since its negative till its at 0 hope this helps!:)

6 0

2 years ago

) 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

2 years ago

What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse

AlladinOne [14]

3(y - 2) = 2y - 8

3y - 6 = 2y - 8

3y - 2y = -8 + 6

y = -2

Answer: C

4 0

2 years ago

What solution is this w = 10

alina1380 [7]

Answer:

w = 10

Step-by-step explanation:

9(w - 9) -2 = -7 + 7(w -8)

Expand:

9w - 81 - 2 = -7 + 7w - 56

Rearrange:

9w - 7w = -7 - 56 + 81 + 2

2w = 20

w = 10

3 0

3 years ago

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?

Debora [2.8K]

Answer:

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

6 0

2 years ago