help !!!!!
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.
y = 2x^2-x + 6
a. (0.25, 6.125)
b. (0.25, 5.875)
c. (-0.25, 5.875)
d. (0.25, 6)

Answer:

∠ C ≈ 73.7°

Step-by-step explanation:

using the sine ratio in the right triangle

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then

∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )

Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms

These were the sets of axioms that were proposed by the man David Hilbert in the 1899. They are a set of 20 assumptions that he made. He made these assumptions as a treatment to the geometry of Euclid.

These helped to create a form of formalistic foundation in the field of mathematics. They are regarded as his axiom of completeness.

Hilbert’s axioms are divided into 5 distinct groups.  He named the first two of his axioms to be the axioms of incidence and the axioms of completeness. His third axiom is what he called the axiom of congruence  for line segments. The forth and the fifth are the axioms of congruence for angles respectively.

Hence we can conclude by saying that Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms.

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complete question

Hilbert’s axiom’s changed Euclid’s geometry by _____.

1 disproving Euclid’s postulates

2 utilizing 3-dimensional geometry instead of 2-dimensional geometry

3 describing the relationships of shapes

4 identifying and explaining the concept of undefined terms

Answer:

\(a_{n}\) = 2n + 6

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2 , then

\(a_{n}\) = 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6

Answer:

80x = y

Step-by-step explanation:

The objective is to develop and implement an adaptive cruise control system for vehicles using MATLAB, Arduino UNO, and ThingSpeak that automatically adjusts the speed to maintain a safe distance from vehicles ahead and uploads speed information to the cloud for connected vehicles and intelligent transport.

The system uses an Arduino UNO board, five buttons, a distance sensor, and a 4-digit 7-segment anode display. The buttons include Set_speed, Adaptive_speed, Cancel, Increase_speed, and Decrease_speed. The system has two modes, cruise control, and adaptive cruise control.

In cruise control, the speed is held constant and can be adjusted with the Increase_speed and Decrease_speed buttons. In adaptive cruise control, the speed automatically adjusts to maintain a safe distance from vehicles or objects in front and the display blinks to indicate this mode.

The system also communicates with the ThingSpeak platform to store speed data on the cloud for analysis and visualization in MATLAB.

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The minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

In this target game, Malia needs to have the lowest mean distance of all throws to win. The mean distance is calculated by adding up all the distances and dividing by the number of throws.

First, we need to calculate the mean distance of Malia's first 7 throws.

Mean distance = (2 + 3 + 4 + 2 + 5 + 3 + 4) / 7 = 3.14

Now, we know that Malia's mean distance must be less than 3.14 to win the game. Let's call the distance of her last throw x.

The mean distance of all 8 throws will be: (2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8

To find the minimum distance that Malia needs on her last throw to win the game, we can set up an inequality:

(2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8 < 3.14

Multiplying both sides by 8 gives us:

2 + 3 + 4 + 2 + 5 + 3 + 4 + x < 25.12

Simplifying gives us:

x < 25.12 - 23

x < 2.12

Therefore, the minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

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Answer: gotchu bro its: -65

Step-by-step explanation:

answer. your answer is -65

Step-by-step explanation:

hope that helps you

if the bill was $23.60, and the tip was 15%, kim will earn $3.54. the overall total of the meal would be $27.14 :)

Anwser will be $3.54

15% = .15 ( to convert percent to decimal, change the % to . and move the decimal two places to the left)

23.60 * .15 = 3.54

I'm rather busy right now but I'll try my best to help you out

1. Radius is 6 because 12/2 = 6

2. Formula is πr^2

im really sry i wasnt able to help out alot but i hope you can understand it a little better

Answer: 1/4 or 0.25 cups

Step-by-step explanation: I looked it up

Answer: 4.50 look at the picture

Step-by-step explanation: Hope this help :D

Step-by-step 4.5 ....................

This option correctly describes that the function is defined for x-values that satisfy the inequality x - 5 < x < 3. It also states that the range of the function is {-2}, which is not accurate since the range of the function includes multiple values from 1 to 6, inclusive.

Based on the given information, it seems that the linear function is represented by the points (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). To determine the domain and range of the function, we need to analyze the set of possible inputs (x-values) and the set of possible outputs (y-values) in the function.

The domain of a function refers to the set of all possible input values for the function. In this case, it appears that the function is defined for all values of x between 1 and 6, inclusive. Therefore, the domain can be represented as: Domain: {x | 1 ≤ x ≤ 6}.

The range of a function, on the other hand, refers to the set of all possible output values. Looking at the given points, we can observe that the y-values range from 1 to 6. Therefore, the range can be represented as: Range: {y | 1 ≤ y ≤ 6}.

From the given answer choices, the option that accurately represents the domain and range of the linear function is:

G Domain: {x | x - 5 < x < 3}

Range: {-2}

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Answer:

55%

Step-by-step explanation:

We can infer a few things here and come to a logical conclusion.

$9 is not exactly half of 20 right?

So this tells us that our answer needs to be over 50% because a 50% discount would make the bookbag $10.

If we look at the answers only 1 of them is over 50% and that is 55%.

However, let's check our work

First we multiply 20 by .55 (when multiplying a percent we move the decimal over twice)

\((20) *(.55) = 11\)

We got 11 out of this, the next thing we do is subtract that 11 from the overall 20:

\(20-11= 9\)

Therefore we see that 55% is the answer!

Hope this helps!!

- Kay

Step-by-step explanation:

we see that 55% is the answer

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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Answer:

I think 1/5 would be the answer

Step-by-step explanation:

I hope this helps

Answer:

18 feet2

Step-by-step explanation:

Thanks Have a nice day

To make up each label for the 5,341 precincts, we would need four digits.

To choose a simple random sample (SRS) of 20 voting precincts from Indiana's 5,341 precincts, we need to assign labels to each precinct. The number of digits required for each label depends on the maximum number of precincts we have.

In this case, since we have 5,341 precincts, the maximum label we would need to assign is 5,341. To determine the number of digits needed, we count the number of digits in this maximum label.

The maximum label has four digits (5,341). Therefore, to make up each label for the 5,341 precincts, we would need four digits.

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Answer:

u = 65.6

Step-by-step explanation:

Use the equation v = u + at and substitute the given terms.

103 = u + (5) (9.5)

Simplify the (5) (9.5) by multiplying (47.5) you then have:

103 = u + 47.5

You want to isolate the variable (the u) and to do that you need to subtract 47.5 from both sides. This leaves you with 65.5 = u

The response variable in this experiment is the length of shots played by the golfers in a subsequent round after wearing the wrist bracelet. So, correct option is C.

This variable is of interest because it measures the potential impact of the wrist bracelet on the golfer's performance.

In this experiment, the independent variable is the type of wrist bracelet worn by the golfer - one with magnets and the other without magnets. The dependent variable, or response variable, is the length of the shots played by the golfer in a subsequent round.

To conduct the experiment, the golfers are randomly assigned to either wear a bracelet with magnets or without magnets. This is done to ensure that there is no bias in the sample and that each group has similar characteristics. The golfers then play normally for a month, and their shots are recorded in a subsequent round.

By comparing the lengths of shots played by the two groups, the golfer can determine if wearing a wrist bracelet with magnets has an impact on their performance. If there is a significant difference between the two groups, it may suggest that the magnets in the wrist bracelet improve balance and the length of shots played off the tee.

So, correct option is C.

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Complete question is:

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.

What is the response variable in this experiment?

a. the age of each golfer

b. the 200 volunteers

c. the length of shots played by the golfers

d. whether the golfers wear or do not wear the bracelet

A major characteristic of a pure market economy is the absence of government intervention in economic activities. In such an economy, the forces of supply and demand determine the allocation of resources, prices, and production decisions.

In a pure market economy, the government plays a minimal role and does not actively regulate or control economic transactions. The market forces of supply and demand, along with competition among buyers and sellers, shape the economic landscape. Prices are determined by the interactions between consumers and producers, reflecting the relative scarcity of goods and services. Producers have the freedom to set prices based on their costs and profit objectives, while consumers have the autonomy to choose which goods and services to purchase based on their preferences and budget constraints.

Additionally, a pure market economy is characterized by private ownership of resources and means of production. Individuals and private businesses own property, land, capital, and other productive assets. This ownership allows individuals and businesses to make decisions regarding the allocation and use of these resources. The profit motive serves as a driving force, incentivizing individuals and businesses to produce goods and services that are in demand by consumers. Competition among market participants encourages efficiency and innovation, as producers strive to offer better products or services at competitive prices.

However, it is worth noting that in reality, most economies exhibit some level of government intervention, even if they are predominantly market-oriented. Governments often implement regulations to safeguard consumer rights, protect the environment, promote fair competition, and address market failures such as externalities or monopolies. These interventions aim to maintain a balance between the benefits of market forces and the need for social welfare and public interest.

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Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.

There are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.

The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:

6x+12x=180

18x=180

x=10°

Therefore, 6x= 6*10=60° and 12x=12*10=120°.

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the inequality that shows the values of x for which the expression is defined √x-2•√x+3 is √x-2≤4 and √x+3≤-9

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q

Therefore, √x-2≤4 and √x+3≤-9

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Answer:

120 - 11d + 2d + 4d - 5 = 16

-5d = - 99

5d = 99

D = 19.8

Thank you and please rate me as brainliest as it will help me to level up

Answer:

B (It is negative)

C (It is decreasing)

Step-by-step explanation:

Using our knowledge, we can see that in interval 2, (the function that is marked with (2)) we can see that the function is in fact decreasing.

It is negative because when something goes down it is negative.

The ways that describe the graph of the function in interval 2 are:

The function is decreasing.

The slope is negative.

The function is constant.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The graph of the function consists of three connected line segments. The first segment begins at the origin and goes up, indicating that the function is increasing.

The second segment goes down, indicating that the function is decreasing.

The third segment is horizontal, indicating that the function is constant.

In terms of slope, the first segment has a positive slope, meaning that as x increases, y also increases.

The second segment has a negative slope, meaning that as x increases, y decreases. The third segment has a slope of zero, meaning that as x increases, y remains constant.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

Step-by-step explanation:

area of a circle=πr^2

42=3.14*r^2

42/3.14=r^2

13.37=r^2

\(\sqrt{13.37\)=r

3.65=r

3.7=r

therefore radius of a circle is 3.7 ft

Since 504 > 100, Town A had a greater average rate of change.

The given function is P(x)=10x²+8x+600 represents the population of Town A.

Here, x represent the number of years.

In year 0, Town B had a population of 400 people. Town B's population increased by 100 people each year.

P(x)=400+100x

We can calculate the average rate of change for each town by finding the difference between the population in year 8 and the population in year 4 and dividing by the number of years (4).

For Town A, we have:

P(8) - P(4) = 10(8² + 8(8) + 600 - (10(4²) + 8(4) + 600) = 2016

Average rate of change = 2016/4 = 504

For Town B, we have:

400 + (100×4) = 800

Average rate of change = 400/4 = 100

Since 504 > 100, Town A had a greater average rate of change.

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Answer:

Step-by-step explanation:

Cost of the camera at one store,

Down payment = $49

Per month payment = $20

Duration of the payment = 12 months

Total payment to be done = down payment + payments to be done in 12 months

= 49 + (20×12)

= 49 + 240

= $289

Cost of the camera at second store,

Equation describing the payment plan,

y = 15x + 79

Here, x = number of months

y = Total amount to be paid

If x = 12 months

y = (15×12) + 79

y = 180 + 79

y = $259

The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.

Answer:

C?

Step-by-step explanation:

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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