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3 years ago

Simplify each expression. (3m^1/2•27n^1/4)^4

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Answer:

43046721/4096

m4n4

Step-by-step explanation:

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•A ( -3,-4)

oksian1 [2.3K]

Answer:

B.) 10

Step-by-step explanation:

You could use the distance formula to calculate the length of AB, I prefer a visual approach, because it requires less memorization.

Draw a vertical line from B and a horizontal line from A until they intersect at D (5, 4).

Then you have a right triangle ABD, and you can use Pythagoras' theorem to calculate AB.

$\begin{array}{rcl}AB^{2} & = & AD^{2} + BD^{2}\\& = & 8^{2} + 6^{2}\\ & = & 64 + 36\\& = & 100\\AB& = & \sqrt{100}\\&= & \mathbf{10}\\\end{array}$

3 0

2 years ago

Given the conditional statement ~p -> q which statement is logically equivalent?

icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬p ⇒ q ⇔ ¬q ⇒ p

(¬ means the same thing as ~, "not")

To prove this: recall that

p ⇒ q ⇔ ¬p ∨ q

This is because p ⇒ q is true if p is false, or both p and q are true, i.e.

p ⇒ q ⇔ ¬p ∨ (p ∧ q)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

p ⇒ q ⇔ (¬p ∨ p) ∧ (¬p ∨ q)

but ¬p ∨ p is always true, or a tautology, so we're just left with ¬p ∨ q.

Then

¬p ⇒ q ⇔ p ∨ q

… ⇔ q ∨ p

… ⇔ ¬(¬q) ∨ p

… ⇔ ¬q ⇒ p

4 0

2 years ago

How do i solve 4/a-2/b+1/4?

Pepsi [2]

This is as simplified as it gets since there are none of the same variables.

7 0

2 years ago

Does the denominator represents the part or the whole of a fraction ? Yes or no

svetoff [14.1K]

Answer:

The whole of a fraction

3 0

2 years ago

Read 2 more answers

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 mi

Semmy [17]

Answer:

60T + 55T = 150

Step-by-step explanation:

$T(60+55)=150\\115T=150$

$T=150/115=1.304 hr$

The cars takes 1.304 hrs (1h 18 min aprox) to pass each other

Hope this helps

5 0

2 years ago