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I am Lyosha [343]
3 years ago
10

How do you simplify the radical: square root of 28

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

√

28

Rewrite

28

as

2

2

⋅

7

.

Tap for more steps...

√

2

2

⋅

7

Pull terms out from under the radical.

2

√

7

The result can be shown in both exact and decimal forms.

Exact Form:

2

√

7

Decimal Form:

5.29150262

…

Step-by-step explanation:


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Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
Of all customers purchasing automatic garage-door openers, 70% purchase a chain-driven model. Let X = the number among the next
otez555 [7]

Answer:

P(X > 10), n = 15, p = 0.7

P(X > 10) =P(10 < X ≤ 15) = P(11 ≤ X ≤ 15) = P(X = 11, 12, 13, 14, 15)

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Step-by-step explanation:

See attached image for detailed explanation

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Kobotan [32]

Answer:

The corrrect answer is -16 and +3

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