Ask question

Ask question

All categories

3 years ago

13

What are all points between two given points, including the two points? A) angle B) line segment C) parallel lines D) perpendicu

lar line

1 answer:

WINSTONCH [101]3 years ago

7 0

Your answer is b. line segment

You might be interested in

8. Four people enter their names into a

Lerok [7]

Answer:

The probability that Ang wins and is given a mug is 0.125.

Step-by-step explanation:

Denote the events as follows:

R = Rob wins

S = Sonja wins

J = Jack wins

A = Ang wins

T = the winner gets a T-shirt

M = the winner gets a Mug

Since any of the four people could be winner the probability of each person winning is same, i.e.

P (R) = P (S) = P (J) = P (A) = 0.25

There only two prizes to select from.

So, the winning person gets any of the two prizes with probability 0.50.

Consider the tree diagram attached.

Compute the probability that Ang wins and is given a mug as follows:

$P(A\cap M) = P (M|A)\times P (A)\\= 0.50\times 0.25\\=0.125$

Thus, the probability that Ang wins and is given a mug is 0.125.

6 0

4 years ago

Evaluate the line integral by the two following methods. xy dx + x2 dy C is counterclockwise around the rectangle with vertices

Airida [17]

Answer:

25/2

Step-by-step explanation:

Recall that for a parametrized differentiable curve C = (x(t), y(t)) with the parameter t varying on some interval [a, b]

$\large \displaystyle\int_{C}[P(x,y)dx+Q(x,y)dy]=\displaystyle\int_{a}^{b}[P(x(t),y(t))x'(t)+Q(x(t),y(t))y'(t)]dt$

Where P, Q are scalar functions

We want to compute

$\large \displaystyle\int_{C}P(x,y)dx+Q(x,y)dy=\displaystyle\int_{C}xydx+x^2dy$

Where C is the rectangle with vertices (0, 0), (5, 0), (5, 1), (0, 1) going counterclockwise.

a) Directly

Let us break down C into 4 paths $\large C_1,C_2,C_3,C_4$ which represents the sides of the rectangle.

$\large C_1$ is the line segment from (0,0) to (5,0)

$\large C_2$ is the line segment from (5,0) to (5,1)

$\large C_3$ is the line segment from (5,1) to (0,1)

$\large C_4$ is the line segment from (0,1) to (0,0)

Then

$\large \displaystyle\int_{C}=\displaystyle\int_{C_1}+\displaystyle\int_{C_2}+\displaystyle\int_{C_3}+\displaystyle\int_{C_4}$

Given 2 points P, Q we can always parametrize the line segment from P to Q with

r(t) = tQ + (1-t)P for 0≤ t≤ 1

Let us compute the first integral. We parametrize $\large C_1$ as

r(t) = t(5,0)+(1-t)(0,0) = (5t, 0) for 0≤ t≤ 1 and

r'(t) = (5,0) so

$\large \displaystyle\int_{C_1}xydx+x^2dy=0$

Now the second integral. We parametrize $\large C_2$ as

r(t) = t(5,1)+(1-t)(5,0) = (5 , t) for 0≤ t≤ 1 and

r'(t) = (0,1) so

$\large \displaystyle\int_{C_2}xydx+x^2dy=\displaystyle\int_{0}^{1}25dt=25$

The third integral. We parametrize $\large C_3$ as

r(t) = t(0,1)+(1-t)(5,1) = (5-5t, 1) for 0≤ t≤ 1 and

r'(t) = (-5,0) so

$\large \displaystyle\int_{C_3}xydx+x^2dy=\displaystyle\int_{0}^{1}(5-5t)(-5)dt=-25\displaystyle\int_{0}^{1}dt+25\displaystyle\int_{0}^{1}tdt=\\\\=-25+25/2=-25/2$

The fourth integral. We parametrize $\large C_4$ as

r(t) = t(0,0)+(1-t)(0,1) = (0, 1-t) for 0≤ t≤ 1 and

r'(t) = (0,-1) so

$\large \displaystyle\int_{C_4}xydx+x^2dy=0$

So

$\large \displaystyle\int_{C}xydx+x^2dy=25-25/2=25/2$

Now, let us compute the value using Green's theorem.

According with this theorem

$\large \displaystyle\int_{C}Pdx+Qdy=\displaystyle\iint_{A}(\displaystyle\frac{\partial Q}{\partial x}-\displaystyle\frac{\partial P}{\partial y})dydx$

where A is the interior of the rectangle.

so A={(x,y) | 0≤ x≤ 5, 0≤ y≤ 1}

We have

$\large \displaystyle\frac{\partial Q}{\partial x}=2x\\\\\displaystyle\frac{\partial P}{\partial y}=x$

so

$\large \displaystyle\iint_{A}(\displaystyle\frac{\partial Q}{\partial x}-\displaystyle\frac{\partial P}{\partial y})dydx=\displaystyle\int_{0}^{5}\displaystyle\int_{0}^{1}xdydx=\displaystyle\int_{0}^{5}xdx\displaystyle\int_{0}^{1}dy=25/2$

3 0

3 years ago

If one time around the track is 1/4, and I went around 23 times. what are the equation and answer? Please do the equation and in

Eduardwww [97]

Answer:

sweet

Step-by-step explanation:

4 0

3 years ago

Math help please?!?!?<br> I promise just some more then Im done!!

Talja [164]

Your answe would be a>-2 so just plug that in to the line and that will be your answer which is the second one

7 0

3 years ago

Read 2 more answers

The following data of students weights (in kg) is collected 65 48 52 55 62 58 47 53 65 71 54 62 51 49 54 60 68 53 57 62 59

tatuchka [14]

Answer:

i dont know

Step-by-step explanation:

hynmk,likujnyhbgfd

3 0

3 years ago