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2 years ago

Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?

Mathematics

1 answer:

Serggg [28]2 years ago

4 0

Answer: 2 2/3 miles

Step-by-step explanation:

From the question, we are informed that three runners in a relay race share the 8-mile distance equally.

The number of miles that each runner travel will be the total miles divided by number of runners. This will be:

= 8/3

= 2 2/3 miles

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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

2 years ago

PLZ HELPPPPPPPPPPPPPP

insens350 [35]

Answer:

F, I only

Step-by-step explanation:

We can see this is a quadratic equation and c is the constant. What changes when we change the constant? It will change the h intercept which we can see is also known as a y intercept (the y axis is renamed as h).

You can also use graphs to visualize this, try changing the constant in the equation and you can see the y intercept change.

so the answer is F, I only.

5 0

3 years ago

Show another way to write 100 more than 623

____ [38]

There are many ways, but here is one:

x = 100

Since ‘x’ is 100 and we want 100 more, we just need to add ‘x’ to 623

Answer: x + 623 (Make sure you define your ‘x’ value)

4 0

3 years ago

Carlotta collects stamps. She owns f stamps from France and 15 more than twice this amount of American stamps. Which expression

Digiron [165]

Answer:

D: 2f+15

Step-by-step explanation:

f is the number of stamps from France that Carlotta owns.

Twice this amount is 2f

Then, 15 more than twice this amount is 2f + 15, and this is the expression that represents the number of American stamps that Carlotta owns

7 0

3 years ago

Determine the number of significant digits in each measurement.

NNADVOKAT [17]

4 significant figures. All figures are significant because the zeros are in between two significant digits

8 0

3 years ago