4 If you are given a linear function that is not in slope intercept form, you can rearrange it so it is in that form.
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As per the U.S. population report, the black population is about 13.5% of the total U.S. population.

The black population in the United States refers to the total no people that identify themself as black or African American.

The exact percentage of the black population in the United States can vary based on the source and the methodology used to collect the data, but as of the population report from 2021, it was estimated to be about 13.5% of the total population.

This information can be used to understand the demographic composition of the United States and to help inform decisions about resource allocation, public policy, and other important issues that can affect different populations. it can be also noted that the demographics of a country can change over time, so it is crucial to regularly update this information to ensure that it remains accurate and relevant.

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There are approximately 8.36 × \(10^25\) water molecules in 2.5 million liters of water.

To find the number of moles of water in 2.5 million liters, we need to convert the volume to grams and then to moles using the given density and molecular mass.

Given:

Volume of water = 2.5 million liters

Density of water = 1 g/mL

Molecular mass of water = 18 g/mol

First, let's convert the volume from liters to grams using the density of water:

2.5 million liters * 1 g/mL = 2.5 million grams

Next, we can convert grams to moles using the molecular mass of water:

2.5 million grams / 18 g/mol ≈ 138,889 moles

Therefore, there are approximately 138,889 moles of water in 2.5 million liters.

To find the number of water molecules, we can use Avogadro's number, which states that there are approximately 6.022 × \(10^23\) molecules in one mole of a substance.

Number of water molecules = Number of moles * Avogadro's number

Number of water molecules ≈ 138,889 moles * 6.022 × 10^23 molecules/mole

Calculating this, we get:

Number of water molecules ≈ 8.36 ×\(10^25\) molecules

Therefore, there are approximately 8.36 × \(10^25\)water molecules in 2.5 million liters of water.

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An Olympic-sized swimming pool holds 2.5 million liters of water. How many moles of water is this? How many water molecules? Some potentially useful facts: 2.5 million = 2.5×\(10^6\).

The density of water is 1 g/mL. The molecular mass of water is 18 g/mol.

Question 6:

The relationship between ∠2 and ∠7 is that they are corresponding angles.

Question 8:

Since ∠1 and ∠2 are alternate exterior angles, m∠2=m∠1 so 180°

Question 9:

Options A, C, and D are correct.

*Note*

For option B the angles are supplementary.

For option E the angles are vertical angles.

Question 10:

∠1 and ∠2 lie in the interior of the parallel lines and are on opposite sides of the transversal. So, ∠1 and ∠2 are equal.

The steps to construct an equilateral triangle inscribed in a circle are as shown above.

A polygon is a plane figure that is bound by three or more line segments that join at the vertices. Polygons can be constructed through a series of steps using various tools such as a compass, a straight edge, and a protector. Given the problem in step 2 to construct regular polygons inscribed in a circle, let us construct an equilateral triangle inscribed in a circle as follows:Step-by-step construction of an equilateral triangle inscribed in a circle by hand using a compass and straightedge:Step 1: Draw a circle of radius r and label the center O. Step 2: Construct a line segment that passes through the center O of the circle, and let the line segment be labeled AB. Step 3: Place the compass on point A and draw an arc that intersects circle O at point C. Without adjusting the compass, place the compass on point B and draw another arc that intersects circle O at point D. Step 4: With the same radius from Step 3, place the compass on point C and draw an arc that intersects line AB at point E. Step 5: Place the compass on point D and draw another arc with the same radius from Step 3 that intersects line AB at point F. Step 6: Draw a line segment from point C to point F and another line segment from point D to point E. The line segments CF and DE should intersect at point G.Step 7: Draw a line segment from point G to point O.

Finally, triangle CEF is the desired equilateral triangle inscribed in the circle O.A screenshot of the construction is as follows:Answer: The steps to construct an equilateral triangle inscribed in a circle are as shown above.

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

Answer:

200

Step-by-step explanation:

i got it right just took it

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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If the device shows the zero vector, it means that the gradient at that location is zero.

To find the direction to walk in order to go directly downhill based on the gradient information from the device, you would need to follow the direction opposite to the gradient vector. The gradient vector points in the direction of the steepest uphill ascent, so walking in the opposite direction would take you downhill.

Here's a step-by-step process to determine the direction:

Stand at a particular location on the mountain.

Check the reading on the device, which gives you the gradient vector at that point.

Reverse the direction of the gradient vector to point in the opposite direction.

Move in the direction indicated by the reversed gradient vector. This will guide you downhill.

If the device shows the zero vector, it means that the gradient at that location is zero. In other words, the terrain is flat or level at that point. In this case, you are already at the lowest point of that local area, and any direction you choose to walk will keep you at the same altitude. It suggests that you are standing on a plateau or a local minimum.

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I think answer is the 10.

Answer:

\({ \sf{ {(x - 2)}^{2} + {(y + 8)}^{2} = 4}}\)

Answer:

Center is (2, -8) and radius =2

h = 2 and k = -8

Filling in this equation:

(x -h)² + (y -k)² = radius²  we get:

(x - 2)^2 + (y--8)^2 = 2^2 which equals

(x-2)^2 + (y +8)^2 = 4

Source: http://www.1728.org/circleqn.htm

Step-by-step explanation:

The correct answer is Option C. A researcher might choose purposive sampling over systematic sampling for several reasons. One key reason is that purposive sampling allows the researcher to study a particular type of participant.

This means that the researcher can select individuals who possess specific characteristics or traits that are relevant to their study.

By handpicking participants, the researcher can ensure that the sample represents the specific population they are interested in studying, which is particularly useful when investigating rare or hard-to-reach populations.

On the other hand, systematic sampling involves selecting participants at regular intervals from a larger population.

This method may not provide the same level of control in selecting participants based on specific characteristics.

While systematic sampling can be more efficient in terms of time and cost, it may not be suitable for certain research objectives that require a targeted approach.

It is important to note that neither method is inherently cheaper or more expensive than the other, and the choice between them depends on the research objectives and the specific population under investigation.

Therefore, option A is incorrect.

Option B is also incorrect because external validity is still important in research regardless of the sampling method chosen.

Option D is also incorrect since researchers using purposive sampling must still specify their population of interest.

Thus, the correct answer is option C.

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Answer:

true

Step-by-step explanation:

The answer of the following question is  ,the center of the dilation is the correct option is "c".

A triangle is basic geometric shape that consist of three straight side and three angles. It is  two-dimensional figure that  defined by its vertices, which are points where the three sides of  triangle meet.

Triangles can be classified based on the length of their sides and the measurement of their angles.

The triangles have many properties and are used extensively in geometry and trigonometry. They can be found in various applications in science, engineering, and art.

In this case, let's assume that point A on triangle N corresponds to point A' on triangle N', point B on triangle N corresponds to point B' on triangle N', and point C on triangle N corresponds to point C' on triangle N'.

To find the center of dilation, we need to find the point O that is equidistant from A and A', B and B', and C and C'.

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Answer:

D

Step-by-step explanation:

2x+6=-3x-14

2x+3x=-14-6

5x=-20

x=-4

Answer:

X = -4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x+1=115.6

Step-by-step explanation:

an unknown x

plus a number imagine 1

so x+1=115.6

Answer:

31 1/2

Step-by-step explanation:

average speed = distance/time

average speed = (73 1/2 miles)/(2 1/3 hours)

= (147/2 miles)/(7/3 hours)

= 147/2 * 3/7 miles/hour

= 441/14 miles/hour

= 31 1/2 miles/hour

The correct answers are: 1. Z-scores are useful because they provide a standardized way of indicating how unusual an observation is. 2. The standard deviation is a natural ruler for comparing values to the mean. 3. Z-scores and the standard deviation are applicable to both symmetric and skewed distributions.

These answers accurately describe the benefits of using Z-scores and the standard deviation in statistical analysis. Z-scores allow us to determine how many standard deviations away from the mean a particular observation is, providing a measure of how unusual or extreme that observation is compared to the rest of the data set.

The standard deviation serves as a measure of dispersion, representing the average amount by which data points vary from the mean. It provides a useful reference point for comparing individual values to the mean. Additionally, both Z-scores and the standard deviation can be applied to distributions with varying shapes, including both symmetric and skewed distributions.

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Select all of the answers that apply. Z-scores are useful because it is a standardized way of saying how unusual an observation is ZZZZZzzzzzzzzzzz <snore snore> WAKE UP you're almost done. the standard deviation is a natural ruler for comparing values to the mean they are applicable to both symmetric and skewed distributions.

Answer:

y = 5x + 4

Step-by-step explanation:

5x - y = -4

5x - 5x - y = -4 - 5x

-y = -5x -4

\(-y/-1 = -5x/-1 -4/-1\)

y = 5x + 4

answer :

y  =  5 x  +  4

explanation :

Slope intercept form :

y = mx + b

m = slope

b = y - intercept

Slope : 5

y - intercept : ( 0, 4 )

Answer:

9,40,41

Step-by-step explanation:

Answer:

C. 9,40,41

Step-by-step explanation:

The last number in any answer is always the hypotenuse and that is what u will use, because according to the formula:

hypotenuse² = opposite²+adjacent² so;

41²=40²+9²

1,681 = 1600 + 81

1,681 = 1,681

so it is balanced and that means the answer is ✅

Answer:

-4 < 4

Step-by-step explanation:

-4 is less than 0  

4 is greater than 0

-4 < 4

Answer:

$3.28

Step-by-step explanation:

→ Find how much he should pay

6.72

→ Subtract from original amount

10.00 - 6.72 = 3.28

Answer:

im doing the test rn and i believe the other person is correct :)

Step-by-step explanation:

Answer:

First you find the volume of the pyramid:

1. find the area of the base:

A= 15 x 5= 75

2. Multiply the Area of the rectangle by the height; h= 12 and si use the result by 3.

V= A x h /3 =. 75 x 12 = 900 /3

V= 300

3. If only 1/2 is filled, that means

V= 300/2= 150 in3 is filled and

150 in3 of marbles is needed to fill the container.

Answer: 150

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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To test your hypothesis that the average time to deliver pizza, once the order is placed, is greater than 25 minutes in the population, you would perform a one-sample T-test.

1. Formulate the null hypothesis (H0) and the alternative hypothesis (H1).

In this case, H0: the average delivery time is equal to 25 minutes, and H1: the average delivery time is greater than 25 minutes.

2. Collect a sample of delivery times and calculate the sample mean and sample standard deviation.

3. Determine the appropriate T-distribution based on your sample size (degrees of freedom = sample size - 1).

4. Calculate the T-statistic using the sample mean, sample standard deviation, and sample size.

5. Determine the critical T-value based on your chosen level of significance (e.g., 0.05) and the one-tailed T-distribution.

6. Compare the calculated T-statistic to the critical T-value. If the T-statistic is greater than the critical T-value, you can reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

192 over 24 days

Step-by-step explanation:

40 divided by 5 is 8

8 times 24 nights is 192

To find the point at which the curve has maximum curvature, we need to determine the coordinates (?, ?) where the curvature is maximized for the given curve defined by y = 2e^x.

The curvature (k) of a curve is given by the formula:

k = |(y''| / (1 + (y')^2)^(3/2),

where y' represents the first derivative of y with respect to x, and y'' represents the second derivative of y with respect to x.

Let's start by finding the first and second derivatives of y = 2e^x:

y' = (d/dx) (2e^x) = 2e^x,

y'' = (d²/dx²) (2e^x) = 2e^x.

Now, we can substitute these derivatives into the curvature formula:

k = |2e^x| / (1 + (2e^x)^2)^(3/2).

To find the maximum curvature, we need to find the x-value where the numerator is maximized and the denominator is minimized. Since both the numerator and denominator are always positive, we can ignore the absolute value sign.

For the numerator to be maximized, e^x should be maximized, which occurs when x approaches positive infinity. Therefore, the x-coordinate of the point with maximum curvature is positive infinity.

For the denominator to be minimized, we need to find the minimum value of (1 + (2e^x)^2)^(3/2). Since the expression inside the parentheses is always positive, the minimum value occurs when it is equal to zero. However, since this equation has no real solutions, the denominator does not have a minimum value.

In conclusion, the curve y = 2e^x does not have a specific point with maximum curvature. The curvature continues to increase as x approaches positive infinity, but there is no point where the curvature reaches a maximum.

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Answer:

56

Step-by-step explanation:

54 + 4(3/4 − 1/2)2

=> 54 + 4(1/4)2

=> 54 + (1)2

=> 54 + 2

=> 56

Therefore, 56 is our answer.

Hoped this helped.