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4 years ago

7

True or False? The following is an example of inductive reasoning: In your study of geometry, you notice that every square you h

ave seen is also a rectangle. You conclude that this is true in all cases.

2 answers:

dimulka [17.4K]4 years ago

5 0

I believe this is true

mote1985 [20]4 years ago

5 0

Answer:

true

Step-by-step explanation:

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What is the value of this expression?<br><br> (−4) to the fourth power

Alex_Xolod [135]

Good afternoon/evening.

-4^4 = four to the fourth power = (-4)(-4)(-4)(-4) = 256
Remember, when a negative is multiplied by a negative it equals a positive.

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3 years ago

Which of the following statements are equivalent to the statement "price decreased by one third"?

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75% of what it before

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3 years ago

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3 years ago

<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x

Maurinko [17]

Hello from MrBillDoesMath!

Answer:

x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 = (x/3)*x - 2 = (x^2)/3 - 2 (*)

1 \3x - 4 = (1/3)x - 4 (**)

(*) = (**) =>

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x^2 - 6 = x - 12 => subtract x from both sides

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x^2-x +6 = 0

Using the quadratic formula gives:

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Thank you,

MrB

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3 years ago

can anyone help me with this ??

Mars2501 [29]

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

A.

$P(n, r) = P(8, 3)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 8 and $r =3$ , we get:

$P(8, 3) = \dfrac{8!}{(8-3)!} \\\Rightarrow \dfrac{8\times 7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 8\times 7 \times 6 \\\Rightarrow 336$

B. Real world situation for part A:

Arranging 3 people on 8 chairs.

First person has 8 options.

Second person has 7 options.

Third person has 6 options.

C.

$P(n, r) = P(7, 2)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 7 and $r$ = 2 , we get:

$P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42$

D. Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.

4 0

3 years ago