Simplify. Round your answer to three decimal places.

1
2
·
2
3
+ 0.345

The translation of the graph that has the domain [−3, 6] is:

B. g(x) = |x + 3|.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is given by:

f(x) = |x|.

The domain changed by [−6, 3] to [-3,6], meaning that 3 units was added to each bound of the domain, hence x -> x + 3 and:

g(x) = |x + 3|.

Which means that option B is correct.

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Answer:

The question needs more information. We don't know what's the x. The number that represents the variable X in the parentheses. Or it could be like:

Step-by-step explanation:

Step-by-step explanation:

opening the bracket

5x-30=(2x+6)2

5x-30=4x+12

collecting like terms

5x-4x=12+30

x=42

Answer:

letter D

:)

Step-by-step explanation:

The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.

The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.

To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.

For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.

In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

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Answer:

How are you today?

im good

Have you had anything to eat?

hot pocket

What's ur fav color?

Blue and Black

I'm just here to talk. I hope everyone has been staying safe! ​

Step-by-step explanation:

Answer:

sin(2θ) = 24/25

Explanation:

In order to find the value of sin 2θ, first, recall the double-angle formula for sine.

From the right-triangle:

Substitute these values into the double-angle formula obtained earlier.

The exact value of sin(2θ) is 24/25.

Answer: Below

Step-by-step explanation:

Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:

8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17

Since R = P, R = 3(17) + 5 = 56

Now with 14.

We know ABC is both 115 and 4x+6, so:
115 = 4x + 6

109 = 4x
x = 27.25

ADB is 6x - 11, so 6(27.5) - 11 = 152.5

12) 56

14) 152.5

Answer:

0

Step-by-step explanation:

Answer: 0 is the answer

Step-by-step explanation:

Answer:

4(11+8+28)

Step-by-step explanation:

44 + 32 + 112

4(11+8+28)

I found the GCF of all three numbers.

Hope this helps :)

Answer:Yeet

Step-by-step explanation:

Answer: 10x5

(10 blocks wide, 5 blocks long) or (5 blocks wide, 10 blocks long)

Step-by-step explanation:

3 blocks = 18 meters, so

1 block = 6 meters

60meters/ 6meters= 10 blocks

30 meters/ 6 meters = 5 blocks

Answer:

7.88 x 10^5 is 788,000 is scientific notation

1) The 99% confidence interval for the population mean is;

CI = (51.32, 58.68)

2)(a) The value of the population proportion is; 0.625

b) The standard error of the proportion is; 0.0624

c) A 99% CI for the population proportion is; CI = (0.5626, 0.6874)

d) The interpretation is that the proportion of those who watched the new show and suggested it replace the crime investigation show is between 0.5626 and 0.6874

1) We are given;

Sample size; n = 49

Sample Mean; x' = 55

Standard deviation; s = 10

Confidence level = 99%

Formula for confidence level is;

CI = x' ± z(s/√n)

z at 99% is; 2.576

Thus;

CI = 55 ± 2.576(10/√49)

CI = (51.32, 58.68)

2) The formula for confidence interval for proportion is;

CI = p ± z√(p(1 - p)/n)

We are given;

Sample size; n = 400

X = 250

a) Thus, population proportion = 250/400 = 0.625

b) Standard error is given by the formula;

SE = z√(p(1 - p)/n)

SE = 2.576√(0.625(1 - 0.625)/400)

SE = 0.0624

c) The  99% CI for the population proportion is;

CI = 0.625 ± 0.0624

CI = (0.5626, 0.6874)

D) The interpretation is that the proportion of those who watched the new show and suggested it replace the crime investigation show is between 0.5626 and 0.6874

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Answer:

1. 195

2. 1875

3. 23460

4. 4690

5. 574

6. 1810

7. 82278

8. 41448

(Can you please give me brainliest?)

Answer:

  2.  Tenths place

Step-by-step explanation:

When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.

The numbers contributing to this sum are ...

  7.273, with least significant digit in the thousandth's place.

  -12.4, with least significant digit in the tenths place.

The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.

  tenths > thousandths, so -12.4 has less precision

First of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.

  7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum

  7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors

Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:

  sum = -5.1

__

Additional comment

As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.

For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.

When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.

__

Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:

  a(b+c) . . . the final operation is multiplication

  ab +ac . . . the final operation is addition

As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.

The equation to represent this situation is given by 0.65x = 282.75 .

In the various mathematical formulas that are used, the equals sign is used to show that two expressions on either side of the equal sign are equal.  The meaning of the word equation and its cognates might vary slightly depending on the language.

Finding the exact values of the unknown variables that result in the given equality is the very first step in the solving of a variable equation. The values of the unknown variables that fulfil the equality are the equation's solutions, also known as the variables for which the equation must be solved. There are two sorts of equations.

Le t the original cost of the bike be x dollars.

After 35% reduction the new cost is x - (35% of x) = 0.65 x

Therefore 0.65 x = 282.75

or, x = 435

Therefore the cost of the bike is $435.

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Answer:

(68.58,71.82)

Step-by-step explanation:

Answer:

Step-by-step explanation:x=2y-8

4y=3.(2y-8)+6

4y=6y-24+6

4y-6y=-24+6

-2y=-18

Y=9

X=2Y-8

x=2.9-8=10

Anywhere from 7 - 13 hours

Answer:

If Maggie wants to make $105 dollars this weekend to afford her bag, she will have to babysit at least 7 hours and at most 13 hours.

Step-by-step explanation:

We take the amount of money Maggie wants, which is 105$, and we divide it by the amount of money Maggie makes per hour, which is 15$.

105 / 15 is 7.

Then we take the max amount of money Maggie wants to make and divide it by 15.

195 / 15 is 13.

So therefore the answer is 7 to 13 hours.

Answer:

$26

Step-by-step explanation:

65 x 60% = 39

65 - 39 = 26

The necessary step for constructing parallel lines is to draw a line that intersects the first line using a straightedge.

Two lines are said to be parallel in a plane if they do not intersect each other even if extended till infinite in both the directions.

Steps to construct a parallel line using ruler and compass are:

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Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is tested if it does not outlast by more than 2 hours, that is, the subtraction is not more than 2:

\(H_0: \mu_B - mu_A \leq 2\)

At the alternative hypothesis, it is tested if it outlasts by more than 2 hours, that is:

\(H_1: \mu_B - \mu_A > 2\)

Hence, the standard errors are:

\(s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934\)

The distribution of the difference has mean and standard deviation given by:

\(\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58\)

\(s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735\)

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{s}\)

In which \(\mu = 2\) is the value tested at the hypothesis.

Hence:

\(t = \frac{\overline{x} - \mu}{s}\)

\(t = \frac{2.58 - 2}{0.2735}\)

\(t = 2.12\)

The critical value for a right-tailed test, as we are testing if the subtraction is greater than a value, with a 0.05 significance level and 12 + 12 - 2 = 22 df is given by \(t^{\ast} = 1.71\)

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

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The equivalent expression using the distributive property is 6(7x + 2)

From the question, we have the following expression

42x + 12

Rewrite the given expression as follows

This is represented using

(42x + 12)

Factor out 2 from the expression

So, we have the following representation

42x + 12 = 2(21x + 6)

Factor out 3 from the expression

So, we have the following representation

42x + 12 = 2 * 3(7x + 2)

Evaluate the products

42x + 12 = 6(7x + 2)

The above represents the equivalent expression

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The percentage increase in the average price of the piano is 40%.

What is the percentage increase?

To calculate the percentage increase, we use the following formula:

Percentage increase = (New value - Old value) / Old value x 100

In this case, the old value is the average price of the piano in 1991 ($12,500), and the new value is the average price of the piano in 2013 ($17,500). So, we can substitute these values into the formula:

Percentage increase = (17,500 - 12,500) / 12,500 x 100 = 40%

Hence, the percentage increase in the average price of the piano is 40%.

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Answer:

Step-by-step explanation:

im traade =23423423423

Answer:

140 days

Step-by-step explanation:

there are 7 days in 1 week so just multiply 20 by 7 which is 140, to make it easier multiply 2 by 7 which is 14 then add the 0 soo 140.

Hope this helps :)

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation: