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3 years ago

Simplify when x=4 x^2-4

Mathematics

2 answers:

Nuetrik [128]3 years ago

6 0

Answer:

Step-by-step explanation:

X=4
$\sf \rightarrowtail \: {x}^{2} - 4 \\ \sf \rightarrowtail \: {(4)}^{2} - 4 \\ \sf \rightarrowtail \: 16 - 4 \\ \sf \rightarrowtail \: 12$

Karo-lina-s [1.5K]3 years ago

3 0

12; 4^2=16, then you subtract by 4

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Which decimal is less than 9.5 when rounded to the nearest tenth?

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Answer:

9.43

Step-by-step explanation:

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3 years ago

Which expression is equivalent to 36x2 - 25?

Dimas [21]

Answer:

The equivalent expression is: (6x + 5)*(6x - 5)

Step-by-step explanation:

This expression is called the difference of two squares.

It has the following format: $a^{2} - b^{2}$

It is factored as: $a^{2} - b^{2} = (a-b)*(a+b)$

In this question:

$a^{2} - b^{2} = 36x^{2} - 25$

$a^{2} = 36x^{2}$ , then $a = \sqrt{36x^{2}} = 6x$

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3 years ago

Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the

kirill115 [55]

Answer:

$0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570$

$0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630$

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

$n = 1019$ represent the sampel size

$\hat p=0.6$ represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing the info given we got:

$0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570$

$0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630$

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

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3 years ago

Katahdin is the highest Mountain in Main. What is its Elevation?

ch4aika [34]

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Based on a quick internet search.

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3 years ago

Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths

AnnZ [28]

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

<h3>How to find Scale Factor?</h3>

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

Corresponding dimension of the new figure = 3

Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

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z = 20 × 1/5 = 4

In summary:

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

Learn more about scale factor on:

brainly.com/question/2826496

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3 years ago