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3 years ago

Explain how equal groups, multiplication, addition, and arrays related?

Mathematics

2 answers:

natulia [17]3 years ago

4 0

Answer:

An arrangement of objects, pictures, or numbers in columns and rows is called an array. Arrays are useful representations of multiplication concepts. This array has 4 rows and 3 columns. It can also be described as a 4 by 3 array.

Step-by-step explanation:

hope this helps i looked it up if not im srry

Alex Ar [27]3 years ago

4 0

Answer:

They are similar in many ways.

Step-by-step explanation:

Arrays are useful representations of multiplication concepts. Multiplication is similar to arrays because arrays use columns and rows to represent the digits and numbers in the equation. Addition is similar to the two because you can repeat it and you will get the same product (or sum). Equal groups are similar because it has the same number of items inside. It can be similar to all the others. So that is why they are related.

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Find the area between y = 8 sin ( x ) y=8sin⁡(x) and y = 8 cos ( x ) y=8cos⁡(x) over the interval [ 0 , π ] . [0,π]. (Use decima

Marina86 [1]

Answer:

0.416 au

Step-by-step explanation:

Let y1=8sin(x) and y2=8cos(x), we must find the area between y1 and y2

$\int\limits^\pi _0{(8cos(x)-8sin(x))} \, dx = 8\int\limits^\pi _0{(cos(x)-sin(x))} \, dx =\\8(sin(x)+cos(x)) evaluated(0-\pi )=\\8(sin(\pi )-sin(0))+8(cos(\pi )-cos(0))=\\8(0.054-0)+8(0.998-1)=8(0.054)+8(-0.002)=0.432-0.016=0.416$

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3 years ago

The Hamilton Brush Company issued 2,500 shares of common stock worth $100,000.00 total. What is the par value of each share?

alexandr1967 [171]

What we know here is that all 2500 shares together are worth 100 000 dollars in total. (it's 100 000.00 actually, but we can ignore the part after the point, as it's equal to 0).

This means that each of the shares is valid the whole sum divided by the number of shares, that is:
$\frac{100000}{2500} = \frac{1000}{25} =40$
(first i divided both denominator and numerator by 100)
So each value is worth 40 dolars.

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3 years ago

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.

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3 years ago

Square root of 28<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B28%7D%20" id="TexFormula1" title=" \sqrt{28} " alt=" \sqrt{2

lidiya [134]

The square root of 5.29150262213

4 0

4 years ago

Explain the full answer

Vilka [71]

Rememer you can do anything to an equaiton as long as you do it to both sides

and the erased answer is correct

10=-6.5+n
add 6.5 both sides
10+6.5=6.5-6.5+n
16.5=0+n
16.5=n

3 0

3 years ago