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3 years ago

How much greater is 200 than 100 and 10

Mathematics

1 answer:

Deffense [45]3 years ago

3 0

Answer:

2 & 20

Step-by-step explanation:

100 x 2= 200

20 x 10= 200

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Determine if the given mapping phi is a homomorphism on the given groups. If so, identify its kernel and whether or not the mapp

shtirl [24]

Answer:

(a) No. (b)Yes. (c)Yes. (d)Yes.

Step-by-step explanation:

(a) If $\phi: G \longrightarrow G$ is an homomorphism, then it must hold

that $b^{-1}a^{-1}=(ab)^{-1}=\phi(ab)=\phi(a)\phi(b)=a^{-1}b^{-1}$ ,

but the last statement is true if and only if G is abelian.

(b) Since G is abelian, it holds that

$\phi(a)\phi(b)=a^nb^n=(ab)^{n}=\phi(ab)$

which tells us that $\phi$ is a homorphism. The kernel of $\phi$

is the set of elements g in G such that $g^{n}=1$ . However,

$\phi$ is not necessarily 1-1 or onto, if $G=\mathbb{Z}_6$ and

n=3, we have

$kern(\phi)=\{0,2,4\} \quad \text{and} \quad\\\\Im(\phi)=\{0,3\}$

(c) If $z_1,z_2 \in \mathbb{C}^{\times}$ remeber that

$|z_1 \cdot z_2|=|z_1|\cdot|z_2|$ , which tells us that $\phi$ is a

homomorphism. In this case

$kern(\phi)=\{\quad z\in\mathbb{C} \quad | \quad |z|=1 \}$ , if we write a

complex number as $z=x+iy$ , then $|z|=x^2+y^2$ , which tells

us that $kern(\phi)$ is the unit circle. Moreover, since

$kern(\phi) \neq \{1\}$ the mapping is not 1-1, also if we take a negative

real number, it is not in the image of $\phi$ , which tells us that

$\phi$ is not surjective.

(d) Remember that $e^{ix}=\cos(x)+i\sin(x)$ , using this, it holds that

$\phi(x+y)=e^{i(x+y)}=e^{ix}e^{iy}=\phi(x)\phi(x)$

which tells us that $\phi$ is a homomorphism. By computing we see

that $kern(\phi)=\{2 \pi n| \quad n \in \mathbb{Z} \}$ and

$Im(\phi)$ is the unit circle, hence $\phi$ is neither injective nor

surjective.

7 0

3 years ago

Brums [2.3K]

Answer:

9x?lax+1)-1(2x+i)=0 p²-8p+4=0. (2x+1)(9x2-1)=0. 0-81764-40X4). (2x+1)(3x +1 (3x-1)=0 x= -1/2 x=-1/2 x=1/3. P= 843-4+213 x={-1/23 - 1 3 3 3 3 3. 4. Let 'n(x)=x2-Ox and g(x)=2x-7. Find all values of x, for which h(x) = g(x).

Step-by-step explanation:

Sheet #14-1. Quadratic Equations: Solving in Factored form. Algebra Common Core. MOVING WORDS. ... X+4 = 0 1 x +9=0 nr 3-01n-10-0 h=0 h-14=0. -4 -4 -9 -9. -3-3 tiu to. +14 114. X = -4 x=-9 n=-31 n =10 h = 14.

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3 years ago

The wall of Joan's living room measures 17 feet long and 8 feet high. To buy paint for the room, she needs to know the size of e

qwelly [4]

If your looking for square feet then your looking for the area.
A = L * H
A = 17 * 8
A = 136 sq ft <==

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2 years ago

According to the Truth in Lending Act, what must banks do?

AlexFokin [52]

C. Notify applicants of credit card terms

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3 years ago

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Points (0,0) and (3,3) lie on line k what is the slope of the line that is perpendicular to k

Yuliya22 [10]

Slope equation: y2-y1 over x2-x1
3-0 over 3-0 = 1
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3 years ago

How much greater is 200 than 100 and 10​

How much greater is 200 than 100 and 10