Which defines the relationship between the number -9 and its additive inverse?
A. -9x1= -9
B-9 +0= -9
C. (-9) X0 = 0
D. (-9) +9 = 0

Answer:

What is this on

Step-by-step explanation:

Step-by-step explanation:

12 nickels out of (8+13+12+22 = 55) coins    12/55 chance of nickel

   now there are only 54 coins   and 13 are dimes  :   13/54 chance of dime

12/55 * 13/54 = 26/495 = .0525 chance

Answer:

sin(A) = \(\frac{6}{10} = \frac{3}{5}\)

Answer:

. simple interest. The balance y (in dollars) of Account A after x years can be? ... modeled by y=20x+400. Account B starts with $550 and earns 3% simple annual interest. Question - Which account has a greater principal? How much greater is ...

Step-by-step explanation:

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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Answer:

−q+48.929073

Step-by-step explanation:

Let's simplify step-by-step.

4/5 ((20)(2.718282)−5q)−19

(−27q+(−18)(2.718282))

Distribute:

=(4/5)((20)(2.718282))+(4/5)(−5q)+3q+5.436564

=43.492509+−4q+3q+5.436564

Combine Like Terms:

=43.492509+−4q+3q+5.436564

=(−4q+3q)+(43.492509+5.436564)

=−q+48.929073

The ordered triple (2, -3, 4) is not a solution of the system, while the ordered triple (-2, 3, -4) is a solution of the system.

Let's assume the given system of equations is:

Equation 1: 2x - 3y + 4z = 0

Equation 2: -2x + 3y - 4z = 0

Ordered Triple (2, -3, 4):

Substituting the values into the equations:

Equation 1: 2(2) - 3(-3) + 4(4) = 4 + 9 + 16 = 29 (not equal to 0)

Equation 2: -2(2) + 3(-3) - 4(4) = -4 - 9 - 16 = -29 (not equal to 0)

Since both equations are not satisfied when substituting the values of the ordered triple (2, -3, 4), this ordered triple is not a solution of the given system.

Ordered Triple (-2, 3, -4):

Substituting the values into the equations:

Equation 1: 2(-2) - 3(3) + 4(-4) = -4 - 9 - 16 = -29 (equal to 0)

Equation 2: -2(-2) + 3(3) - 4(-4) = 4 + 9 + 16 = 29 (equal to 0)

Since both equations are satisfied when substituting the values of the ordered triple (-2, 3, -4), this ordered triple is a solution of the given system.

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Based on the information given the average speed for his trip is 64 miles.

Using this formula

d=rt

r=d/t

Where:

r=rate=?

d=distance=512 miles

t=time=8 hours

Let plug in the formula

r=512/8

r=64 miles

Inconclusion the average speed for his trip is 64 miles.

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Answer:

In order to solve this, we need to transform the equation into R = D/T

Plug in the numbers into this equation

R = 512/8

So after we divide these two numbers, we get an answer of 64 mph as Adam's average speed.

The parallax problem is a phenomenon that arises when measuring the distance to a celestial object by observing its apparent shift in position relative to background objects due to the motion of the observer.

The parallax effect is based on the principle of triangulation. By observing an object from two different positions, such as opposite sides of Earth's orbit around the Sun, astronomers can measure the change in its apparent position. The greater the shift observed, the closer the object is to Earth.

However, the parallax problem introduces challenges in accurate measurement. Firstly, the shift in position is extremely small, especially for objects that are very far away. The angular shift can be as small as a fraction of an arcsecond, requiring precise instruments and careful measurements.

Secondly, atmospheric conditions, instrumental limitations, and other factors can introduce errors in the measurements. These errors need to be accounted for and minimized to obtain accurate distance calculations.

To overcome these challenges, astronomers employ advanced techniques and technologies. High-precision telescopes, adaptive optics, and sophisticated data analysis methods are used to improve measurement accuracy. Statistical analysis and error propagation techniques help estimate uncertainties associated with parallax measurements.

Despite the difficulties, the parallax method has been instrumental in determining the distances to many stars and has contributed to our understanding of the scale and structure of the universe. It provides a fundamental tool in astronomy and has paved the way for further investigations into the cosmos.

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Answer:

1.) 20 square inches

2.) 4.16

3.) (-1, -5) (2, -5)

Step-by-step explanation:

The sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

The sample size used in this analysis, representing the number of sales calls Lori made during the month, can be determined using the standard error of the proportion and the desired level of confidence.

To calculate the sample size, we need to use the formula:

\(n = (Z^2 * p * (1 - p)) / E^2\)

Where:

n = sample size

Z = z-score corresponding to the desired level of confidence

p = estimated proportion (historical book adoption rate)

E = margin of error (standard error of the proportion)

Given the standard error of the proportion as 0.0400, we can use this value as the margin of error (E). Assuming a 95% level of confidence, the corresponding z-score is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.20 * (1 - 0.20)) / 0.0400^2

Simplifying the equation, we get:

n = (3.8416 * 0.20 * 0.80) / 0.0016

n = 0.61536 / 0.0016

n ≈ 384.6

Therefore, the sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

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Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historicaly, Lori obtains a book adoption on 20% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0400. Use z-table. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?

I had this question on a quiz. The answer is B if I remember correctly.

Answer:

7

Step-by-step explanation:

Answer:

4.55 hours (rounded to the nearest tenth)

Step-by-step explanation:

If you take 250 and divide it by 55 you get 4.5454 repeating. Round to the nearest tenth and you get 4.55 hours.

Answer: (-4, 0) and (4, 8)

Step-by-step explanation:

Looking at the graph, we can see where the line passes the parabola and can tell the solutions are (-4, 0) and (4, 8)

The sampling procedure being used to collect completion time data in this scenario is based on paired samples or dependent samples.

In paired samples, each observation in one sample is uniquely linked or paired with an observation in the other sample. In this case, the workers are randomly selected, and each worker is assigned to use both production methods, one after the other. The completion time for each worker is measured under both methods, creating paired or dependent observations.

By using paired samples, the company can compare the completion times of the same workers using different production methods. This approach helps eliminate individual differences and other sources of variability among workers, focusing solely on the comparison between the two methods.

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Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

13.4

Step-by-step explanation:

4.3+1.6=5.9

5.9+8.4=14.3

14.3-0.9=13.4

One angle of an isosceles triangle measures 120°. The other two possible angles are 60 degree. So the option B is correct.

One angle of an isosceles triangle measures 120°.

An isosceles triangle has two equal sides. An isosceles triangle is a triangle with two sides of equal length and two angles of equal measure. The two equal sides are usually referred to as the base and the other side is called the vertex.

As we know that in a isosceles triangle have a sum of all sides is 180 degree.

Since the ne side is 120 degree.

So the measure of other two sides = 180° - 120°

The measure of other two sides = 60°

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The complete question is:

One angle of an isosceles triangle measures 120°. what measures are possible for the other two angles? choose all that apply.

A. 30°

B. 60°

C. 120°

D. 180°

The volume of the figure is the sum of the volume of the square prism and the volume of the square pyramid which is 67.2cm³

To calculate the volume of the figure, we need to find the volume of the square prism and the volume of the square pyramid.

The volume of a square prism is given as;

V = L³

V = 4³

V = 64cm³

The volume of the square pyramid is given as;

V = 1/3lh

V = 1/3 * 4 * 2.4

V = 3.2cm³

The volume of the figure is 64cm³ + 3.2cm³ = 67.2cm³

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Answer:

-114 is less than -1

Answer:

-114 < -1

Step-by-step explanation:

When dealing with two negative numbers, always remember that the larger the number the smaller it is, the smaller the number the larger it is

The required possible value of U is approximately 74.3°.

In triangle TUV, we know that u = 9.6 cm, t = 6 cm, and ∠T = 143°. To find all possible values of ∠U, we can use the law of cosines, which states that:

c² = a² + b² − 2ab cos(C)

where c is the side opposite angle C, and a and b are the other two sides.

Here, we have to find angle U, which is opposite side u.

Therefore, we can rearrange the law of cosines to solve for cos(U):

cos(U) = (a² + b² - c²) / 2ab

Substituting the given values, we get:

cos(U) = (6² + 9.6² - 2(6)(9.6) cos(143°)) / (2(6)(9.6))

cos(U) = 0.267

Taking the inverse cosine of both sides, we get:

U = cos⁻¹(0.267)

U ≈ 74.3° or U ≈ 285.7°

Since the sum of the angles in a triangle is 180°, we know that U must be less than 143°.

Therefore, the only possible value of U is approximately 74.3°.

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\(k = 1.6d\)

\(k = 1.6(665)\)

\(k = 1064\)

The distance is 1064 km.

Answer:

A. 1,064 km

Step-by-step explanation:

1 Mile is 1,6 Kilometers

430 Miles  = 688 Kilometers (430 * 1,6)

665 Miles = 1064 Kilometers (665 * 1,6)

1- 1.6(430)= 688 Km

2. 1.6(665)=1064 Km

Using 1.6 as the consant then 430* 1.6 = 688 Km

655 * 1.6 = 1048Km

if i understand what you need properly, all you do is multiply the miles x 1.6 and you will get k. so 430miles x 1.6 = 688k

and 665miles x 1.6 = 1064k

Answer:

an you give it to me in another way plz

Step-by-step explanation:

a = y2 / (b^x2) ,To find the initial value of an exponential function, you can use the formula y = a * b^x, where y represents the final value, a represents the initial value, b represents the base, and x represents the exponent.

To solve for the initial value (a), you need to have at least two points on the exponential function. Let's say you have the point (x1, y1) and (x2, y2).

Step 1: Substitute the values of x1, y1, x2, and y2 into the formula y = a * b^x.

Step 2: Since the goal is to find the initial value (a), we can set up two equations using the given points.

For the first point (x1, y1):
y1 = a * b^x1

For the second point (x2, y2):
y2 = a * b^x2

Step 3: Divide the second equation by the first equation to eliminate the base (b):

y2/y1 = (a * b^x2) / (a * b^x1)

Step 4: Simplify the equation:

y2/y1 = b^(x2 - x1)

Step 5: Take the logarithm of both sides of the equation to isolate the exponent (x2 - x1):

log(y2/y1) = (x2 - x1) * log(b)

Step 6: Solve for (x2 - x1):

(x2 - x1) = log(y2/y1) / log(b)

Step 7: Substitute the value of (x2 - x1) into either of the original equations to solve for a:

a = y1 / (b^x1)

or

a = y2 / (b^x2)

Remember to use the same base (b) in all calculations. This will help you find the initial value (a) of the exponential function.
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Answer:

129 divided by 12

Step-by-step explanation:

itll get the amount of feet