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Vesna [10]
3 years ago
6

Write 27 as a product of primes. Use index notation where appropriate.

Mathematics
2 answers:
Sonbull [250]3 years ago
8 0

Answer:

3 x 3 x 3 = 3^3

Step-by-step explanation:

27 as a product of it's primes = 3 x 3 x 3 In index notation= 3^3

Butoxors [25]3 years ago
7 0
27 is a composite number. 27 = 1 x 27, or 3 x 9. Factors of 27: 1, 3, 9, 27. Prime factorization: 27 = 3 x 3 x 3, which can also be written 27 = 3³.
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Helga [31]
The answer C make more sense.
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3 years ago
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The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Sh
Cloud [144]

Answer:

A)  The vertex ( h , k) = ( -2 , -18)

B) The minimum value of the given function = - 18

C) The Axis of the symmetry for f(t) is y -axis

Step-by-step explanation:

A)

Given a parabola   f(t) = t² + 4 t − 14

                               f(t) =  t² + 2(2) t + (2)²-4− 14

                           f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

                   (x-h))² = 4 a ( y - k))²

<em>The vertex ( h , k) = ( -2 , -18)</em>

B)

  Given a parabola   f(t) = t² + 4 t − 14

  Differentiating with respective to 't'

                                 f¹(t) = 2 t + 4

                                  f¹(t) = 2 t + 4 = 0

now                      t = \frac{-4}{2} = -2

Again Differentiating with respective to 't'

                    f^{ll} (t) = 2 (1) >0

f(x) has a minimum value at t = -2

Given f(t) = t² + 4 t − 14

         f( -2) = 4 + 4(-2) -14 = 4 -8 -14 = -18

The minimum value of the given function = - 18

C)

f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

                   (x-h))² = 4 a ( y - k))²

The vertex ( h , k) = ( -2 , -18)

The Axis of the symmetry for f(t) is y -axis

8 0
3 years ago
A circle has a diameter of 5 inches. A square has a side length of 5 inches. What is true about the areas of the two figures?
Neporo4naja [7]

-- They are unequal

-- The area of the circle is (pi) (radius²) = 19.63 inches² .

-- The area of the square is  (side length)² = 25 inches² .

-- The area of the square is  27.3% greater than the area of the circle.

7 0
3 years ago
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5<br> 2. Simplify<br> .<br> 5<br> O 57<br> O 5-1<br> o<br> 5<br> O<br> 57
pantera1 [17]

Answer:

79853709 with the exponent of 94

Step-by-step explanation:

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Answer: 15 with a remainder of 3
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