an angle measures 15 degrees more than its complement. Find the measures of the two angles

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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(f - g)(x) = f(x) - g(x)

… = (3x² - 4) - (4x + 1)

… = 3x² - 4x - 5

Answer: 40 balloons

Step-by-step explanation:

x=number of balloons

2*4=8

x=(64-50-8)/0.15

x=6/0.15

x=40

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.

The question is incomplete so I will use a similar question to answer it.

Caleb's fees at Neobank would be:

= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee

= 0 + 0 + 6 + 5

= $11

Caleb's fees at Arbor Bank:

= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee

= $15.70

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Answer: -9, 9

Step-by-step explanation:

The range in which 95% of the scores lie is between 75 and 95.

According to the Empirical Rule: For a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% of the data falls within 2 standard deviations of the mean, and approximately 99.7% of the data falls within 3 standard deviations of the mean.

So, about 95% of the scores lie between 75 and 95. T

This is because the mean score is 85 and one standard deviation is 5, so one standard deviation below the mean is 80 (85-5) and one standard deviation above the mean is 90 (85+5).

Two standard deviations below the mean are 75 (85-2*5) and two standard deviations above the mean is 95 (85+2*5).

Therefore, the range in which 95% of the scores lie is between 75 and 95.

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The number of stores in each level of the shopping mall are 56 stores.

An equation is an expression that can be used to show the relationship between variables and numbers. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Let x represent the number of stores on each level.

A shopping mall has 226 stores on 4 levels. If there are same number of stores in each level:

(4 × x) = 226

4x = 226

Divide

x = 226 / 4

x = 56.5

There are about 56 stores per level.

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Answer:

9.2

Step-by-step explanation:

Since it is a right triangle, we can use pythagorean theorem to figure out the hypotenuse length.

a^2 + b^2 = c^2

6^2 + 7^2 = c^2

36 + 49 = c^2

c^2 = 85

square root both sides get

c= 9.219, rounded to nearest tenth is 9.2

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crown for brainliest

Step-by-step explanation:

The number is 9.219

and nearest number is 9.2

The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

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Answer:

7

Step-by-step explanation:

I could be wrong I haven't done it in while but I think the answer needs to equal 90. Sorry if I'm wrong

Seismic hazard analysis is a method of probability assessment that would most likely be used to assess the probability that a major earthquake will occur in California in the next three years.

Seismic hazard analysis is a method used to assess the probability of earthquakes occurring in a specific location, and it involves analyzing the historical records of earthquakes, geological data, and the tectonic plate movements in the area. This method is used to predict the likelihood of future earthquakes and their potential magnitude and intensity.

In the case of California, a seismic hazard analysis would likely be used to assess the probability of a major earthquake occurring in the next three years. The data collected from this analysis would help the government and the public prepare for potential earthquakes and minimize the damage caused by such events.

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Answer:

1/5

Step-by-step explanation:

F=200/1000 = 2/10 = 1/5 Pretty simple just convert to the same unit if it doesn't make sense watch videos about the topic of unit conversion :D

To make a boxplot of the six measurements, first arrange them in order from smallest to largest: 1.303, 1.308, 1.310, 1.311, 1.316, 1.321. Then, draw a number line and plot a box that spans the range from the first quartile (Q1) to the third quartile (Q3), with a line inside the box representing the median.

The whiskers should extend to the smallest and largest observations that fall within 1.5 times the interquartile range (IQR) from the box. Any observations that fall outside of this range are considered outliers and should be plotted as individual points.

In this case, Q1 is 1.308, Q3 is 1.316, the median is 1.311, and there are no outliers. Therefore, the boxplot would show a box from 1.308 to 1.316, with a line at 1.311 in the middle.

As for whether the t distribution should be used to find a 99% confidence interval for the thickness, it depends on whether we know the population standard deviation or not. If we know it, we could use a z-score instead of a t-score to calculate the confidence interval. However, if we do not know the population standard deviation, we would need to use the t distribution to account for the extra uncertainty in our sample estimate of the standard deviation. In either case, a 99% confidence interval would be wider than a 95% confidence interval, since we are more certain that the true population mean falls within the wider range.

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Answer: 1. (6, 3)

Step-by-step explanation: She can add the pair, (6, 3) to keep it a function. Remember in a function the points can NEVER have the same x-value!

Point on the line 3x-y=4 is closest to (-2,3) are:

(19/10,  51/30)

Now, According to the question:

The equation for the line in slope-intercept form:

y=3x - 4

The slope of this line is m = 3.

A line perpendicular to this line passing through point A(-2,3) has a slope m= -1/3.

The y-intercept for this perpendicular line [go down 2/3 and over 2 from A(-2,3) which is calculated from the slope to get to x-0] is

(-2,3) + (2,-2/3) = (0, \(2\frac{1}{3}\) ), so b = 2 1/3.

The equation  for this perpendicular line is

y=(-1/3)x + \(2\frac{1}{3}\) or

x+3y=7

Solving the system of two linear equations with two unknows substituting y=3x-4 into this equation:

x+3(3x-4)=7

Solve for x:

10x-12=7

x=19/10

19/10 + 3y = 7

30y=70-19

y = 51/30

Hence, Point on the line 3x-y=4 is closest to (-2,3) are:(19/10,  51/30)

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Answer:

x= -4

Step-by-step explanation:

-2 - 4x = 14 + 2        -4x=16/-4   =    x = -4

+2                            /-4

Checking answers:

-2 -4(-4) = 14

-2 + 16= 14     so true

Hope this helps :)

Answer:

-4 !

Step-by-step explanation:

it would be negative 4 :)

-2-4x=14

+2 +2

----------------

-4x=16

divide by -4 on each side to isolate "x"

x=-4

The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.

To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.

Plugging in these values into the quadratic formula, we have:

x = (-4 ± √(4² - 4(1)(9))) / (2(1))

x = (-4 ± √(16 - 36)) / 2

x = (-4 ± √(-20)) / 2

Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:

x = (-4 ± i√20) / 2

x = (-4 ± 2i√5) / 2

Simplifying the expression by dividing both the numerator and denominator by 2, we get:

x = -2 ± i√5

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Answer: The slope is 2/6, but simplified it is 1/3

Answer:

1/3

Step-by-step explanation:

you take rise (change in Y) over run (change in Y)

Answer: √20

Step-by-step explanation:

4.47213595 (the 5 repeats)

The dot product of vectors a and b is 28√3. The dot product of vectors a and b can be found by multiplying their magnitudes and the cosine of the angle between them.

In this case, given that ||a|| = 8, ||b|| = 7, and the angle between a and b is -π/6 radians, we can calculate a⋅b.

The dot product of two vectors a and b, denoted as a⋅b, is given by the formula a⋅b = ||a|| ||b|| cos(θ), where ||a|| and ||b|| represent the magnitudes of vectors a and b, and θ represents the angle between them. In this case, ||a|| = 8 and ||b|| = 7, so we have a⋅b = 8 * 7 * cos(-π/6).

To find the value of cos(-π/6), we can refer to the unit circle.

The angle -π/6 corresponds to a point on the unit circle with coordinates (√3/2, -1/2). Therefore, cos(-π/6) = √3/2.

Substituting this value into the formula, we get a⋅b = 8 * 7 * (√3/2). Simplifying further, a⋅b = 28√3.

Hence, the dot product of vectors a and b is 28√3.

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Answer:

8

Step-by-step explanation:

We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Answer:

1500+337.50 = $1,837.5

Step-by-step explanation:

You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

Where:

P is the principal amount, $1500.00.

r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.

t is the time involved, 5....year(s) time periods.

So, t is 5....year time periods.

To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:

The interest is: $337.50

Colton receives a $1421.50 gross salary and a $973.48 net salary. His gross pay is take-home pay is 68.5 percent.

One of the busiest at-grade railroad crossings in the country, Colton Crossing is located in Colton. In order to cross the rails of the Southern Pacific Railroad while expanding northward from San Diego, the California Southern Railroad erected the bridge in 1882. Brown declare their union. The couple got engaged while on a weekend visit to Big Sur, California, according to Underwood, who revealed the news to PEOPLE towards the end of February 2022. Jordan C. Brown and Colton Underwood are now engaged, and I'm overjoyed! Colton Underwood and Cassie Randolph announced their separation in May 2020, little than two years into their relationship. In a conversation with Robin Roberts of Good Morning America a few months later, ABC's former Bachelor came out as gay.

1421.5 * 0.685 = 973.727. is the closest answer.

The others are too low. For instance 1421.5 * 0.46 =653.89.

Which is 46% of the net pay. So the answer is 68.5%

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Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

Distance from the summit of Mount Everest to the horizon, Rounded to the nearest mile, the distance from the summit of Mount Everest to the horizon is 210 miles.

Distance refers to the space between two points or the length of a line between them. It may also refer to a range, extent, or magnitude that separates one point from another. Distance may be a physical concept, such as the distance between two cities or the distance traveled by a moving object.

The distance between two points can be calculated using a number of mathematical techniques, including the Pythagorean theorem, the distance formula, and vector addition.

d = √(2Rh + h²)

where d is the distance to the horizon, R is the radius of the Earth (4000 miles), and h is the height of the observer (in this case, the height of the summit of Mount Everest, which is 29,030 feet).

We need to convert the (h) height of the summit to miles:

29,030 ft = 29,030/5280 miles ≈ 5.49 miles

Now we can plug in the values and solve for d:

d = √(2 × 4000 × 5.49 + 5.49^2) =209.64288 ≈ 210 miles

Therefore, the distance from the summit of Mount Everest to the horizon is approximately 210 miles when rounded to the nearest mile.

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A triangle is made of 3 parallel lines, in which all 3 corners have 3 faces (angles), that calls the vertex, in which two factions of a triangle get together, and one of its 3 sides can be the basis of a triangle, even so, generally the lower one.

Given:

\(\[ABCD\] = 1 m^2\\\\\)

\([CEF ] = \frac{1}{9} m^2\\\\\)

Find:

\(\[AEF\] =?\)

Solution:

\([CEF] = \frac{\bar{FC}^2}{2} = \frac{1}{9} m^2\\\\\bar{FC}=\sqrt{\frac{2}{9}m}=\frac{\sqrt{2}}{3}m\\\\\bar{DF}= 1m -\bar{FC}=(1- \frac{\sqrt{2}}{3})m\\\\\)

\(2[ ADF]= (1- \sqrt{\frac{2}{9}}) m \cdot 1 m =(1 -\frac{\sqrt{2}}{3})m^2 \\\\\)

\([ AEF ]= 1 m^2- [CEF]-2[ ADF]\\\\\)

           \(= 1m^2- \frac{1}{9} m^2 -(1 -\frac{\sqrt{2}}{3})m^2\\\\= 1m^2- \frac{1}{9} m^2 -1m^2 +\frac{3\sqrt{2}}{9}m^2\\\\= \frac{ 3\sqrt{2} -1}{9}m^2\approx 0.3602934\ m^2\)

So, the final answer is "\(\bold{0.3602934\ m^2}\)".

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Only statement left is "Events A and B are mutually exclusive," which is also not true since P(A∩B) = 0.1, which is greater than 0.

Thus, none of the statements is true.

None of the statements is true.

If events A and B were independent, then P(A∩B) = P(A)P(B) = 0.4, which is not equal to 0.1.

If events A and B were mutually exclusive, then P(A∩B) = 0, which is not equal to 0.1.

Therefore, neither of the first two statements is true.

Since P(A∪B) = P(A) + P(B) - P(A∩B), we have P(A∩B) = 0.4, which is not equal to 0.1. Therefore, the third statement is not true.

The only statement left is "Events A and B are mutually exclusive," which is also not true since P(A∩B) = 0.1, which is greater than 0.

Thus, none of the statements is true.

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