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mariarad [96]
2 years ago
13

Which expression is equivalent to Negative 32 Superscript three-fifths?

Mathematics
2 answers:
torisob [31]2 years ago
8 0

Answer:

-8

Step-by-step explanation:

-32^{\frac{3}{5} } can be written as

  • -(2^{5} )^{\frac{3}{5} } which can then be simplified to -2³ which is -8
Stells [14]2 years ago
4 0

Answer:

-8

Step-by-step explanation:

(-32)^3/5

(-32)^[(1/5 ) * 3] =( (-32)^ 1/5 )^3 =

( -2)^3 = -8

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Which of the segments below is a secant?
mamaluj [8]

b) HJ

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5 0
2 years ago
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Fine the measure of the angle formed by the radius and the side of a regular dodecagon.
Elden [556K]

Answer:

Option D.75°

Step-by-step explanation:

we know that

The sum of the interior angles of a regular dodecagon is equal to

S=(n-2)*180

where

n is the number of sides

In this problem

n=12 sides

substitute

S=(12-2)*180

S=1,800\°

Find the measure of each interior angle

Divide the sum of the interior angles by the number of sides

1,800\°/12=150\°

The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle

therefore

150\°/2=75\°

3 0
3 years ago
The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
Elan Coil [88]

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

3 0
2 years ago
Find x, y, and z. plsssssssssssssssssss
Alona [7]

Answer:

z= 104

y=76

x=76

Step-by-step explanation:

z+76= 180. solve for z

z=x

y=76

3 0
2 years ago
Which answer describes the transformation of f(x )= x^2 − 1 to g(x) = ( x + 4 )^2 − 1?
OverLord2011 [107]
The (x + 4) tells you that the function is moving 4 units to the left.
the answer would be letter C
5 0
3 years ago
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