To solve this problem you must use Permutation:
You want to made 4 digit numbers with the digits 1, 2, 3, 4, 5, 6 and<span> no digit can be used more than once. So, we have:
(A,B,C,D)
A can variate in six (6) differents forms.
B can variate in (6-1)=5 differents forms.
C can variate 4 digits.
D can variate 3 digits.
Keeping this on mind, we have:
=6!/2!
=6*5*4*3
=360
</span> The answer is: 360
Given:
Measure of arc UV is 56 degrees.
The measure of arc QW is 132 degrees.
To find:
The measure of angle VPW.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
Substituting the given values, we get
Now,
[Linear pair]
Therefore, the measure of angle VPW is .
Part A:
Given
defined by
but
Since, f(xy) ≠ f(x)f(y)
Therefore, the function is not a homomorphism.
Part B:
Given
defined by
Note that in
, -1 = 1 and f(0) = 0 and f(1) = -1 = 1, so we can also use the formular
and
Therefore, the function is a homomorphism.
Part C:
Given
, defined by
Since, f(x+y) ≠ f(x) + f(y), therefore, the function is not a homomorphism.
Part D:
Given
, defined by
but
Since, h(ab) ≠ h(a)h(b), therefore, the funtion is not a homomorphism.
Part E:
Given
, defined by
, where
denotes the lass of the integer
in
.
Then, for any
, we have
and
Therefore, the function is a homomorphism.
Answer:
A) 100 + 5x = y
10 + 20x = y
Step-by-step explanation:
100 is the amount Andre started with and 5x is the 5 he adds each week
10 is the amount Elena started with and 20x is the 20 she adds we week
Answer:
V = 272 π cm^3
Step-by-step explanation:
r = 4 cm
h = 17 cm
V = πr^2h
V = π((4)^2)(17) cm^3 = 272 π cm^3