The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour? Write your answer as a decimal. *

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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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

1

Step-by-step explanation:

So just follow order of operations

9-6=3

3^2=9

9*2=18

18/18=1

Final answer is 1

How to find input and output from the co-ordinates on the graph?

Here the co-ordinate having x=2 is

So the output is 0

Every pair have ( x , y ) which means x is input and y is output .

Here , input is 2 (x)

then , let output be y ( indicate with 0 )

So , the co- ordinates are ( x , y ) = ( 2 , 0 ) .

Answer: C

Step-by-step explanation:

1 lb = 16 oz

2 lb = 32 oz

18 oz = 18 oz

49 oz = 49 oz

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

The mean is approximately 5.47, the median is 5, and the mode is 5 for the given data set of yogurt pretzels.

The given data set represents the number of yogurt pretzels in various bags. The numbers in the data set are: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8.To summarize the data set, we can calculate the measures of central tendency, such as the mean, median, and mode:

Mean: The mean is calculated by summing up all the values and dividing by the total count. In this case, the sum is 82, and there are 15 values. So, the mean is 82/15 ≈ 5.47.

Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, the median is 5, as it lies in the middle when the values are sorted.

Mode: The mode is the value that appears most frequently. In this data set, the mode is 5, as it occurs six times, more than any other number.

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1. cos 146 = -cos(124).

2. sin 112 = sin(68).

3.   The general Solution of cos 2theta + 4sin²theta -5sintheta-4=0 6sin²theta - 5sin theta - 5 =0

1.

We will make use of the unit circle and the periodicity of the cosine function.

Since cos(theta) represents the x-coordinate of a point on the unit circle corresponding to an angle theta.

We go ahead and determine  an angle in the range [0, 360) that is close to 146.

146 is larger than 90, so we subtract 90 from it to get 56.

cos(56) is the same as cos(180 - 56) because cosine is an even function.

We hence determine the reference angle by subtracting 56 from 180, which gives us 124.

cos is positive in the second and third quadrants and

cos 146 is the same as cos(180 + 124) = cos(124).

2.We also use the unit circle and the periodicity of the sine function.

sin(theta) is a representation of the y-coordinate of a point on the unit circle corresponding to an angle theta.

we then determine an angle in the range [0, 360) that is close to 112.

112 is larger than 90, so we subtract 90 from it to get 22.

sin(22) is the same as sin(180 - 22)

We as well find the reference angle by subtracting 22 from 180, which gives us 158.

Since sin is positive in the first and second quadrants,

sin 112 is the same as sin(180 - 112) =  sin(68).

3. The general solution of

cos 2theta + 4sin²theta - 5sin theta - 4 = 0

cos 2theta + 4sin²theta - 5sin theta - 4 = 0

We write cos 2theta using the double-angle formula:

2cos²theta - 1 + 4sin²theta - 5sin theta - 4 = 0

2cos²theta + 4sin²theta - 5sin theta - 5 = 0

2(cos²theta + 2sin²theta) - 5sin theta - 5 = 0

The identity has it that sin²theta + cos²theta = 1:

2(1 - cos²theta + 2sin²theta) - 5sin theta - 5 = 0

2 - 2cos²theta + 4sin²theta - 5sin theta - 5 = 0

-2cos²theta + 4sin²theta - 5sin theta - 3 = 0

substitute cos²theta = 1 - sin²theta:

-2(1 - sin²theta) + 4sin²theta - 5sin theta - 3 = 0

-2 + 2sin²theta + 4sin²theta - 5sin theta - 3 = 0

6sin²theta - 5sin theta - 5 =0

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Given: Angle of inclination, θ = 20°

Distance of Peter from the top of the roof, b = 5.5 m

Weight of the box of nails,

m = 2.1 kg

Let the initial velocity of the box be u.

Let v be the velocity of the box when it reaches Peter.

Acceleration due to gravity,

g = 9.8 m/s²

We know that the horizontal component of the velocity remains constant while the vertical component of velocity changes uniformly under gravity.

Initial vertical velocity of the box,

uₓ = u cos θ

The initial horizontal velocity of the box, uᵧ = u sin θ

At the highest point, the vertical velocity becomes zero,

vₓ = 0.

Using the equation of motion,

vₓ = uₓ + gt

0 = u cos θ + gt

Putting the given values,

u = 4.69 m/s

The time taken by the box to reach Peter is given by using the horizontal motion equation of motion.

S = ut + (1/2)at²

5.5 = uᵧt

Since there is no acceleration in the horizontal direction,

a = 0t = (5.5/uᵧ)

Substitute the value of uᵧ.

Substitute the value of t in equation (1).

v = u cos θ + gt

= 4.69 cos 20° + (9.8 × (5.5/(4.69 sin 20°)))

= 4.05 + 7.32

= 11.37 m/s

The velocity of the box when it reaches Peter is 11.37 m/s.

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Step-by-step explanation:OL=L=18

WL=H let

we have

by using Pythagoras law

l²+l²=h²

18²+18²=h²

h=√648=25.5

:. WL=25.5

If the answer is 25.5, move to K

this is your answer look it once

If the force of gravity increases, the weight of an object will increase.

Answer:

44 square units

Step-by-step explanation:

If you find the area for the individual parts of the shape, you will eventually end up adding each area to get the overall area of the shape. Hope this helps and good luck with this assignment :)

Answer:

(x, y) = (23, 4)

Step-by-step explanation:

2x - 5y = 26

x - 5y = 3 $\Rightarrow$ x = 3+5y

substituting the value of x ( second equation) into the first equation, we get, 2(3+5y) - 5y = 26. Simplifing, we get,

6+10y - 5y =26

5y = 20

y = 4

So, x = 3+5*4 = 3+20 = 23

Answer:

\(\left \{ {{x=23} \atop {y=4}} \right.\)

Step-by-step explanation:

\(\left \{ {{2x - 5y =26} \atop {x-5y=3}} \right.\)

you can add 5y to both sides of the second equation:

\(x = 5y + 3\)

Then, substitute:

\(2(5y + 3) - 5y = 26\)

use the distributive property on the left side:

\(10y + 6 - 5y = 26\)

\(5y + 6 = 26\)

subtract 6 from both sides

\(5y = 20\)

divide both sides by 5

\(y = 4\)

Substitute into original equation

\(x - 5y = 3 --> x - 5(4) = 3\\x - 20 = 3\\x = 23\)

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a. The probability that a randomly selected tax return refund will be more than $2000 is 0.1038.

b. The probability that a randomly selected tax return refund will be between $1600 and $2700 is 0.2523.

c. The probability that a randomly selected tax return refund will be between $3500 and $44007 are 0.6184 and       0.8907.

d. The refund amount represents the 35 percentile of tax returns is $2831.

a. To find the probability that a randomly selected tax return refund will be more than $2000, we need to calculate the z-score and then use the standard normal distribution table. The formula to calculate the z-score is (X - mean) / standard deviation.

z = (2000 - 3204) / 968 = -1.261

Using the standard normal distribution table, we can find the probability corresponding to the z-score of -1.261. The probability is 0.1038.

Therefore, the probability that a randomly selected tax return refund will be more than $2000 is 0.1038.

b. To find the probability that a randomly selected tax return refund will be between $1600 and $2700, we need to calculate the z-scores for both values and then use the standard normal distribution table.

z1 = (1600 - 3204) / 968 = -1.661
z2 = (2700 - 3204) / 968 = -0.520

Using the standard normal distribution table, we can find the probabilities corresponding to the z-scores of -1.661 and -0.520. The probabilities are 0.0486 and 0.3009, respectively.

To find the probability between these two values, we subtract the probability corresponding to the lower z-score from the probability corresponding to the higher z-score.

0.3009 - 0.0486 = 0.2523

Therefore, the probability that a randomly selected tax return refund will be between $1600 and $2700 is 0.2523.

c. To find the probability that a randomly selected tax return refund will be between $3500 and $4400, we need to calculate the z-scores for both values and then use the standard normal distribution table.

z1 = (3500 - 3204) / 968 = 0.305
z2 = (4400 - 3204) / 968 = 1.231

Using the standard normal distribution table, we can find the probabilities corresponding to the z-scores of 0.305 and 1.231. The probabilities are 0.6184 and 0.8907, respectively.

To find the probability between these two values, we subtract the probability corresponding to the lower z-score from the probability corresponding to the higher z-score.

0.8907 - 0.6184 = 0.2723

Therefore, the probability that a randomly selected tax return refund will be between $3500 and $4400 is 0.2723.

d. To find the refund amount that represents the 35th percentile of tax returns, we need to find the corresponding z-score from the standard normal distribution table.

The z-score corresponding to the 35th percentile is approximately -0.3853.

Using the z-score formula, we can calculate the refund amount:

X = (z * standard deviation) + mean
X = (-0.3853 * 968) + 3204
X ≈ 3204 - 372.77 ≈ $2831.23

Therefore, the refund amount that represents the 35th percentile of tax returns is approximately $2831.

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A 60,000 cubic millimeter box contains rubber balls with a radius of 15 millimeters. A maximum of 4 balls will fit in rubber box.

For finding the maximum number of rubber balls, firstly we will need the volume of the box. We have been given that the volume of the box is 60,000 mm³.

Now, we will find the volume of the rubber balls which have to be fit in the box. We know that the radius of one ball is 15 mm.

Volume of ball = 4/3 πr³

= 4/3 × 22/7 × 15³

= 4/3 × 22/7 × 3375

= 99,000/7

To find the maximum number of balls, we will divide the volume of box by volume of sphere.

Maximum number of balls = volume of box / volume of balls

= 60,000 / (99,000 / 7)

= (60,000 × 7) / 99,000

= 420 / 99

= 4.24

So, rounding up maximum 4 balls can be fit into the box.

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Correct question:

Rubber balls with a radius of 15 millimeters are stored in a 60,000 cubic millimeter box. What is the maximum number of rubber balls that will fit in the box?

Answer:

it's is the first one witch is 16.82k + 16.82k

Answer:

16.82kf

hope this helps

By using the concept of function, it can be seen that the given table represents a function.

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values under x represents the domain and the values under y represents the Range.

From the table it can be seen that

Every point of the domain maps to unique point on the range.

So this is a function.

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Tollens's test shows the presence of aldehydes. A positive Tollens's test appears as a silver mirror while a negative Tollens's test appears as a clear solution.

Tollens's test is a chemical test used to detect the presence of aldehydes. The test involves the reaction of Tollens's reagent (ammoniacal silver nitrate) with an aldehyde, resulting in the reduction of silver ions to metallic silver, which appears as a silver mirror.

A positive Tollens's test, therefore, appears as a silver mirror on the surface of the solution being tested. On the other hand, a negative Tollens's test shows the absence of aldehydes, resulting in a clear solution without any visible silver mirror. The test is commonly used in organic chemistry to distinguish between aldehydes and ketones.

Overall, Tollens's test shows the presence of aldehydes.

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Answer:

TRQ=47 degrees

TRS=133 degrees

Step-by-step explanation:

straight line=180

3x+5+10x-7=13x-2

180+2=13x-2+2

182=13x

x=14

3(14)+5=42+5=47 degrees

10(14)-7=140-7=133 degrees

47+133=180 yes.

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2

Step-by-step explanation:

Take an equilateral triangle of side.

Bisec it through a vertex and the midpoint of the opposite side.

You now have two right-angled triangles with angels 30° , 60°, 90° with the edge opposite the 30° of length 1/2 and hypotenuse 1. So

sin (30°) = 1/2/1= 1/2.

Answer: The right angled triangle you describe has angels of 45 degrees, not 30 degrees.

What you proved is sin 45 = 1\2 , which is correct.

Answer:

520% of 100 = 520

Step-by-step explanation:

here, let the number be x

x = (520/100) × 100 (since % means-divide by 100)

x = 520

hence 520% of 100 is 520

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

Answer:

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hope it helps...

have a great day!!

Answer:

6(b+1)

Step-by-step explanation:

6(b+1)

see this and reply me

If the mean is greater than the median, the data is likely Right-skewed.

In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. Right-skewed distributions have long right tails and are characterized by having a mean that is greater than the median. There are two different sorts of means that may be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.

Therefore, the answer is right-skewed. A data set that is skewed to the right is one where the tail to the right of the data clusters is longer than the tail to the left of the data clusters. This means that the data set will have a mean value that is greater than the median.

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When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same

Answer: When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same.

Step-by-step explanation:

Yes , SAS (Side-Angle-Side) is a second Congruence postulate to prove triangle congruence by showing that two sides and their included angles are congruent.

Side-Angle-Side is the rule used to prove whether a given set of triangles are congruent. The SAS rule states: Triangles are congruent if two sides and an included angle of a triangle are equal to two sides and an included angle of another triangle. An included angle is the angle formed by two given sides.. For example : let's us consider two triangles ∆SQR and ∆TSR ,

In above given figure, sides

RS = RS ( common side)

QS = ST ( S divides QT in two equal parts) and angle between QS and SR equal to angle between SR and ST i.e. ∠QSR = ∠RST = 90° (right angle ) and it is included angle . So, by SAS Congruence rule, both of triangles are congruent. Hence, Δ ABC ≅ Δ PQR.

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Answer:

x=139

Step-by-step explanation:

x and 139 are alternate exterior angles. Since a transversal passes through lines m and n, They are congruent using the alt. interior angle theorem.

so x=139