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myrzilka [38]
3 years ago
10

Why does nCn equal 1

Mathematics
1 answer:
alex41 [277]3 years ago
7 0
What is nCn does it have a full form
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A chef makes 1 1/2 gallons of soup in a large pot. How many 1 cup servings can the chef get from this large pot of soup
kramer
1 1/2 gallons = 12 pints

1pint = 2cups

12 pints x 2cups= 24 cups

So the answer is 24cups

4 0
3 years ago
Given that the line is x/3 + y/2 =1<br> i ) make y the subject<br> ii ) gradient of line
miss Akunina [59]

Answer:

see explanation

Step-by-step explanation:

(i)

\frac{x}{3} + \frac{y}{2} = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - \frac{2}{3} x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - \frac{2}{3} x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - \frac{2}{3}

7 0
2 years ago
Explain whether the graph represents a function.
aleksley [76]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

8 0
3 years ago
Simplest form of 3/4+1/12
tekilochka [14]

Answer:

5/6

Step-by-step explanation:

7 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
3 years ago
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