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Verizon [17]
3 years ago
14

Simplify ((–3)^2)^3.

Mathematics
2 answers:
Radda [10]3 years ago
8 0
(-3)^2= 9

(9)^3= 729

Hence ((-3)^2)^3 =729
guapka [62]3 years ago
6 0
Just work out yourself from every parentheses.

We have the expression ((-3)^2)^3

Inside the first parentheses, we have (-3)^2
Solve that.

(-3)^2 = (-3)(-3) = 9

Now we will have 9^3
Which is 9 * 9 * 9

9 * 9 * 9 = 729

So, 729 is the answer.
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Consider the following argument. If there are as many rational numbers as there are irrational numbers, then the set of all irra
FrozenT [24]

Answer:

b. form: p → q invalid, converse error q ∴ p

Step-by-step explanation:

Let

p = "there are as many rational numbers as there are irrational numbers,"

let

q = "the set of all irrational numbers is infinite."

We can write the above argument as:

If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite

p → q

The set of all irrational numbers is infinite

q

There are as many rational numbers as there are irrational numbers

p

So collectively it can be written as:

p → q

 q

∴p

So it looks like

if p then q

q

therefore p

This is a fallacious argument.  This means the conclusion can be false even when the premises are true. This type of argument is invalid.

Suppose we know that “If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite” is a true conditional statement. We also know that "the set of all irrational numbers is infinite" is true. This is not enough to say that "there are as many rational numbers as there are irrational numbers," is true. The reason for this is that there is nothing logically about “If p then q” and “q” that means p must follow. So this is a converse error and since converse error is an invalid method of inference rule so this argument is invalid.

Let us prove this argument is invalid with a truth table:

p   q   p → q   q   p

T   T      T       T   T

T   F      F       F   T

F   T      T       T   F

F   F      T       F   F

Since we know that the premises are:

p → q   and  q

and the conclusion is p

and an argument is valid if and only if all of its premises are true, then the conclusion is true. We should check that whenever both p → q   and  q are true then p is true but the third row fails. Thus this is an invalid argument.

6 0
3 years ago
(45/360)2πr=9π/4
Lyrx [107]

Answer:

r=9

Step-by-step explanation:

45/360=1/8

1/8*2=2/8

2/8=1/4

1/4*pi*r=(9pi)/4

Divide both sides by 1/4 (the fours cancel each other out)

Pi*r=9*pi

Pi cancels each other out

R=9

Hope this helps

7 0
3 years ago
Find each missing angle measure
timurjin [86]

Answer: angle 1=129 degrees

Step-by-step explanation:

180 - 99 - 30 = 51

all the angles of a triangle should add up to be 180 degrees

51+99+30=180

angle 1 is supplementary to the angle that is 51 degrees so it would be 129 degrees. 180-51=129

7 0
3 years ago
Read 2 more answers
According to the diagram, which are congruent? Check all
adell [148]
I believe it’s AB AND DF, ZBAC = ZDEF
4 0
3 years ago
20 POINT QUESTION!!!
Mazyrski [523]

Answer:

Graph A

Step-by-step explanation:

For each piece of the function the first number is included (0, 4, 8) and second number excluded (4, 8, 12). Included points are solid and excluded are open dots.

It's correctly reflected in A graph only.

8 0
3 years ago
Read 2 more answers
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