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shutvik [7]
2 years ago
7

Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V s

ays: At least three of us are knights. W says: At most three of us are knights. X says: Exactly five of us are knights. Y says: Exactly two of us are knights. Z says: Exactly one of us is a knight. Which are knights
Mathematics
1 answer:
marin [14]2 years ago
6 0

Answer:

w and y are knights

Step-by-step explanation:

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Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti
den301095 [7]

Curl is defined as:

\bigtriangledown \times F=\frac{ \int F.dr}{Area}

Which can be rewritten as:

\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}

This is because C1 lies on the xy plane and thus it's unit vector will be \widehat{k}.

By similar arguments the rest will follow too.

Now, area of each circle will be: \pi \times (0.1)^2=0.01 \pi

Therefore, Curl, as per our definition will be:

\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}

Thus, Curl=40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}

Which is the required answer.

7 0
2 years ago
2. Juanita is asked to write the standard equation of a
Crazy boy [7]

Answer:

It is not.  Also use ^2 to represent squaring a number.  

Step-by-step explanation:

First, USE ^2 FOR SQUARED

It is not correct.

The standard equation of a circle is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius.

In your question the center is (-2,3) and the radius is the length of the line segment from the center to any pointon the circle.  nd hey, it tells us a point on the circle is (-2,6).

Let's take it one part at a time.  we know h and k so let's plug them in.

(x-h)^2 + (y-k)^2

(x-(-2))^2 + (y-3)^2

(x+2)^2 + (y-3)^2

now r is the length of the line segment from (-2,3) and (-2,6).  To get from (-2,3) to (-2,6) hopefully it is pretty obvious you just move up (so int he y direction) 3 spaces.  this makes r = 3.  int he formula we want r^2 and that is 9.  The result is that the circle has a formula of:

(x-h)^2 + (y-k)^2 = r^2

(x+2)^2 + (y-3)^2 = 9

The formula Juanita got is actually a hyperbola.  

8 0
2 years ago
You have a function that takes in an X value and produces a Y value. The Y value equals 24 times the X value, plus 4?More. What'
guapka [62]

Answer:

100

Step-by-step explanation:

The function takes in an X value and produces a Y value.

The Y value equals 24 times the X value plus 4 more.

This means that:

Y = 24X + 4

When the X value equals 4, the Y value will be:

Y = 24(4) + 4

Y = 96 + 4

Y = 100

When the X value is 4, the Y value is 100.

7 1
2 years ago
Read 2 more answers
A sofa is on sale for $ 364.00 , which is 35 % of the original price. What is the original price?
inn [45]

Answer:

$1040

Step-by-step explanation:

Let X be the original price.

35% of X = 364

35/100 × X = 364

X = 364 × 100/35

X = 1040

8 0
2 years ago
Read 2 more answers
Here are seven tiles: 1,1,3,3,3,5,5. Tom takes a tile at random. He does not replace the tile. Tom then takes a second tile. A)
zzz [600]

Answer:

a) 2/42

b)16/42

Step-by-step explanation:

a) 2/7 x 1/6 = 2/42

b) (1,2)  (1,3) (2,3)

   P(1,2) = 2/7 x 3/6 = 6/42

   P(1,3) = 2/7 x 2/6 = 4/42

   P(2,3) = 3/7 x 2/6 = 6/42

Add all = 6/42 + 4/42 + 6/42 = 16/42

4 0
2 years ago
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