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brilliants [131]

3 years ago

8

Which of the following is the third term of the expansion (a + b)^n ?

1 answer:

Luba_88 [7]3 years ago

5 0

Answer:

C(n, 2)a^(n-2)b^2

Step-by-step explanation:

Generally, the expansion is written in decreasing powers of "a", so the first few terms would have variable constellations that look like ...

a^n, a^(n-1)b, a^(n-2)b^2, ...

The coefficients would be (in order), C(n, k) for k increasing from 0, so the coefficient of the 3rd term would be C(n, 2).

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to get to work truman waited 11 minutes for the bus, then travled 21.78 miles on the bus at a speed of 33 miles per hour how muc

alexgriva [62]

We have 11 as our base value, meaning that we add 11 to something, so we have 11+<something>. To find that something, we want to know how long it takes to go 21.78 miles at 33 miles per hour. To get this, we want to turn miles per hour into minutes per mile and multiply that by 21.78 miles to get our answer. Therefore, we cross them out as shown in the equation to get $\frac{21.78 miles}{1} * \frac{1 hour}{33 miles} * \frac{60 minutes}{1 hour}$

6 0

3 years ago

1/2 cup of milk per 2 cups of flour. Find the unit rate.

mestny [16]

Answer:

1/4 cup of milk per 1 cup of flour

Step-by-step explanation:

(1/2)/2=(1/2)(1/2)=1/4

6 0

3 years ago

58, 72, 74, 92, 84, 40, 74, 81, 76, 83 What was the maximum score earned on Mr. Hill's final exam

alexandr402 [8]

Answer:

92

Step-by-step explanation:

Max= biggest number, surely?

4 0

3 years ago

Apply green’s theorem to evaluate the integral 3ydx 2xdy

Ne4ueva [31]

The value of the integral 3ydx+2xdy using Green's theorem be - xy

The value of $\int\limits_c 3ydx+2xdy$ be -xy

<h3>What is Green's theorem?</h3>

Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.

If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then

$\int\limits_c Mdx+Ndy$ = $\int\int\〖(N_{x}-M_{y}) \;dxdy$

Using green's theorem, we have

$\int\limits_c Mdx+Ndy$ = $\int\int\〖(N_{x}-M_{y}) \;dxdy$ ............................... (1)

Here $N_{x}$ = differentiation of function N w.r.t. x

$M_{y}$ = differentiation of function M w.r.t. y

Given function is: 3ydx + 2xdy

On comparing with equation (1), we get

M = 3y, N = 2x

Now, $N_{x}$ = $\Luge\frac{dN}{dx}$

= $\frac{d}{dx} (2x)$

= 2

and, $M_{y}$ = $\Huge\frac{dM}{dy}$

= $\frac{d}{dy} (3y)$

= 3

Now using Green's theorem

= $\int\int\〖(2 -3) dx dy$

= $\int\int\ -dxdy$

= $-\int\ x dy$

= $-xy$

The value of $\int\limits_c 3ydx+2xdy$ be -xy.

Learn more about Green's theorem here:

brainly.com/question/14125421

#SPJ4

3 0

2 years ago

Write the slope-intercept form of the equation of the line.

Semenov [28]

Answer:

y = x + 2

Step-by-step explanation:

First, find the slope.

(y2 - y1 / x2 - x1)

I'm going to use (0,-2) and (2,0) as my points.

Find the slope.

(-2) - 0 / 0 - 2= -2 / -2 = 1

So the slope is 1.

Now find the y-intercept.

Y-intercept is 2.

Now substitute it into the slope-intercept form equation. (y = mx + b)

y = x + 2

8 0

2 years ago