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3 years ago

9

[20 POINTS] Which of the following are irrational?

1 answer:

rodikova [14]3 years ago

4 0

The answers b and p are irrational

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A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the

vodomira [7]

Answer:

40

Step-by-step explanation:

40x5=200

200 divided by 5 =40

5 0

2 years ago

Each Club member collected 15 boxes of recycling for community service. Let c represent the number of club members and T represe

TEA [102]

The equation is (assuming you meant the instead of two): T = 15c

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2 years ago

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The surface areas of two similar solids are 416yd ^2 and 1,354yd ^2. The volume of the larger solid is 2,976 yd^3. What is the v

KatRina [158]

I believe the correct answer is 914 yd ^3hope this helps!

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2 years ago

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Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

Kaylis [27]

$\Rightarrow$

Suppose first that $H\subset G$ is a normal subgroup. Then by definition we must have for all $a\in H$ , $xax^{-1} \in H$ for every $x\in G$ . Let $a\in G$ and choose $(ab)\in aH$ ( $b\in H$ ). By hypothesis we have $aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H$ , i.e. $aba^{-1}=c$ for some $c\in H$ , thus $ab=ca \in Ha$ . So we have $aH\subset Ha$ . You can prove $Ha\subset aH$ in the same way.

$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .

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2 years ago

Y = 2x - 4<br> y = - 2x + 8<br> Math

WITCHER [35]

Answer:

(3,2)

Step-by-step explanation:

Since both equations are equal to each others.

2x-4=-2x+8

2x+2x=8+4

4x=12

x=3

Substitute x = 3 in any given equations but I will substitute in the first equation.

y = 2(3)-4

y = 6-4

y = 2

3 0

3 years ago