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3 years ago

8

Divisible by 3?

1 answer:

masya89 [10]3 years ago

4 0

The third one is divisible by 3; and you can figure that out quickly by adding up the individual numbers in each number and seeing if it is divisible by 3.
Example: 8+5+0+1+9+4+5+7 = 39 39/3 = 13
3+2+8+3+2+9+8+8 = 43 43/3 = 14 1/3

Only works like that when dividing by 3 though

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Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

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Answer:

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Step-by-step explanation:

Let $f(x)=x^3+x+7$

So $f'(x)=3x^2+1$

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

Let $x_1=-2$

We are going to find $x_2$

So we are evaluating $-2-\frac{f(-2)}{f'(-2)}$

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

$f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3$

$f'(-2)=3(-2)^2+1=3(4)+1=12+1=13$

So

$x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769$

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3 years ago

A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to create Triangle A'B'C'. The side lengths

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The confidence interval formula is computed by:

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Where:

Xbar is the mean

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So our given are:

90% confidence interval with a z value of 1.645

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So plugging that information in the data will give us a confidence interval:

For 1:

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For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

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chubhunter [2.5K]

The correct answer would be <u><em>B. 2 - 1/3</em></u>

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