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lilavasa [31]
2 years ago
15

What number should be placed in the box to help complete the division calculation 3426 divided by 16

Mathematics
1 answer:
Nostrana [21]2 years ago
3 0

Answer:

214.1*16=3425.6.............

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Complete the following statement about the Empirical Rule.
andrezito [222]

Answer:

1. 68%

2. 95%

3. 99.7

Step-by-step explanation:

5 0
2 years ago
PLEASE HELP!!!!! Factor completely 16x8 − 1
Delvig [45]

Answer:

see explanation

Step-by-step explanation:

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16x^{8} = ( 4x^{4} )² ⇒ a = 4x^{4}

1 = 1² ⇒ b = 1

Hence

16x^{8} - 1

= (4x^{4} )² - 1²

= (4x^{4} - 1)(4x^{4} + 1)

4x^{4} - 1 ← is also a difference of squares and factors as

(2x² - 1)(2x² + 1)

Thus

16x^{8} - 1

= (2x² - 1)(2x² + 1)(4x^{4} + 1 )

6 0
2 years ago
Read 2 more answers
Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

5 0
3 years ago
54:63 in simplest form
Bas_tet [7]

Answer:

I think it is 6/7

Step-by-step explanation:

I am really bad at explaining but I'm not completely sure

4 0
2 years ago
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What linear function can be represented by the set of ordered pairs?
zzz [600]
<span>Solving for the slope using points ( (−4, 15), (0, 5)</span>  
M = ( 15 – 5) / ( -4 – 0) = -5 / 2  
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B = 5  
So the linear function is
<span>Y = (-5/2) x + 5</span>
8 0
3 years ago
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