Solve for x

Please help! I need a explanation so I can understand better

Answer:

???

Step-by-step explanation:

Answer:

Sum of interior angles of a regular polygon:

Heptagon has 7 sides

Sum of interior angles:

S = 3060°, n = ?

19-sided polygon (Enneadecagon)

Let each angle be x

Answer:

<1 and <3 are vertical angles and  <2 and <4 are vertical angles

Step-by-step explanation:

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Answer:

2 and 4 are vertical angles

Step-by-step explanation:

yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

Answer:

(A)(3×8)×6=3×(8×6)

Explanation:

Definition: A set S is said to be associative under the operation x if the following holds:

Therefore, the number sentence that illustrates the associative property of multiplication is:

The correct choice is A.

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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All chiral D-sugars rotate plane-polarized in a direction that cannot be predicted but must be determined experimentally. So, option D is correct.

Chiral D-sugar is a form of molecule with a chiral center that is a member of the carbohydrate class.

Because they are chiral D-sugars, it is impossible to determine which way they will rotate in advance.

The molecule's particular arrangement determines the direction of spin, and rotational intensity is measured in degrees. When both enantiomers of a chiral D-sugar are present in equal amounts (i.e., when it is a racemic combination), the sugar is optically inactive and does not rotate plane-polarized light.

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The complete question is:

Fill in the blanks,

All chiral D-sugars rotate plane-polarized _______________: (Group of answer choices)

a) clockwise

b) counterclockwise

c) +20.0 degrees

d) in a direction that cannot be predicted but must be determined experimentally

e) since they are optically inactive.

Answer:

x-intercept(s):  ( \(\frac{5}{2}\) , 0 )

y-intercept(s):  ( 0 , 5 )

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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Divide each side by -23.

X = -5/23 .

Answer:

Step-by-step explanation:

I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:

\(71=100e^{-.0001t}\) and begin by dividing both sides by 100 to get

\(.71=e^{-.0001t}\) and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:

ln(.71) = -.0001t and we divide to solve for t:

\(\frac{ln(.71)}{-.0001}=t\) and

\(\frac{-.3424903089}{-.0001}=t\) so

t = 3424.9 years, or rounded, 3425 years.

On solving the provided question, we can say that - the probability the coin comes up heads and the card is a heart is 1/26

The probability that something will occur is the foundation for it. The foundation of theoretical probability is the justification of probability. For instance, the theoretical likelihood of receiving heads while tossing a coin is 1/2. A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty.

let

e1 be the drawing a card from a deck of 52 cards,

and,

e2 be the flipping of a coin,

These two events are mutually exclusive. so,

\(P(E1) = 4/52 = 1/13\\P(E2) = 1/2\\now, P(E1 and E2 ) = P(E1) * P(E2) = (1/13)*(1/2) = 1/26.\\\)

Answer is 1/26.

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Answer:

C) 4/25

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Answer:

c

Step-by-step explanation:

:)

Average Auction Price is 0.9925the noncompetitive bidders will receive $750 million at a price of $0.9925 per $1 of par value.

To determine who will receive T-bills, what quantity, and at what price, we need to rank the bidders based on the bid prices and allocate the T-bills in descending order of bid prices until the entire $2.5 billion par value has been allocated. The bid prices listed are quoted as a percentage of par value, so we need to calculate the dollar amount bid for each bidder as follows:

Bid Amount = Bid Price × Par Value

For Bidder A:

Bid Amount = 0.9940 × 500 million

Bid Amount = $497 million

For Bidder B:

Bid Amount = 0.9901 × 750 million

Bid Amount = $742.6 million

For Bidder C:

Bid Amount = 0.9925 × 1.5 billion

Bid Amount = $1.48875 billion

For Bidder D:

Bid Amount = 0.9936 × 1 billion

Bid Amount = $993.6 million

For Bidder E:

Bid Amount = 0.9939 × 600 million

Bid Amount = $596.34 million

Total Bid Amount = $3.31874 billion

Since the total bid amount exceeds the $2.5 billion par value of the T-bills being auctioned, we need to allocate the T-bills to the highest bidders until the entire $2.5 billion has been allocated.

Ranking the bidders in descending order of bid prices, we have:

Bidder B with a bid price of $0.9901

Bidder C with a bid price of $0.9925

Bidder D with a bid price of $0.9936

Bidder E with a bid price of $0.9939

Bidder A with a bid price of $0.9940

Allocating T-bills to the highest bidders until the entire $2.5 billion par value has been allocated, we have:

Bidder B will receive $750 million at a price of $0.9901 per $1 of par value.

Bidder C will receive $750 million at a price of $0.9925 per $1 of par value.

Bidder D will receive $500 million at a price of $0.9936 per $1 of par value.

Bidder E will receive $250 million at a price of $0.9939 per $1 of par value.

The noncompetitive bids of $750 million will be allocated at the average auction price, which is calculated as the simple average of the four highest accepted bid prices:

Average Auction Price = (0.9901 + 0.9925 + 0.9936 + 0.9939) / 4

Average Auction Price = 0.9925

Therefore, the noncompetitive bidders will receive $750 million at a price of $0.9925 per $1 of par value.

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Statements are;

1) S(q) represents a quantity that changes at a constant rate per unit interval.

2) S(q) represents a quantity that changes at a constant percent rate per unit interval

3) S(q) represents a linear function

4) S(q) represents an exponential function.

Answer:

Statements 1 & 3 are true while statements 2 & 4 are false

Step-by-step explanation:

We are told that S(q) is a function that represents the quiz score, S, in terms of the number of correctly answered questions, q.

Statement 1 is true because the quiz score(S(q)) changes at a constant rate per unit questions answered since the math quiz has 10 questions and is scored out of 100

Statement 2 is false because S(q) is not expressed as a percentage rate.

Statement 3 is correct because S(q) function is a straight linear functional relationship where it directly depends on the number of correctly answered questions(q)

Statement 4 is false because the relationship is not expressed in exponential form but as a direct linear relationship.

The function S(q) is an illustration of a linear function.

The true statements are:

The false statements are:

From the question, we understand that:

S(q) represents the quiz score in terms of the number of correct answers

This means that:

As the correct answers increases or decreases, the value of s(q) changes at a constant interval

Functions that have such behavior are linear functions because they change at a constant rate

Hence, (a) and (c) are true, while (b) and (d) are false.

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The mean number of burps after drinking root beer is between 0.66 and 4.24 burps fewer than after drinking cola.

Mean: The "average" number obtained by adding all data points and dividing the total number of data points by the total number of data points.

Part A: A paired t-test can be used to see if there is a significant difference in the number of burps after drinking root beer versus cola. The null hypothesis states that there is no difference in the mean number of burps between the two beverages, whereas the alternative hypothesis states that there is. Using a two-tailed test with a significance level of = 0.05, we find that the t-value is -3.365 and the p-value is 0.003. We reject the null hypothesis because the p-value is less than the significance level and conclude that there is a significant difference in the mean number of burps between root beer and cola.

Part B: We can use the paired t-test formula to generate a 95% confidence interval for the difference in the mean number of burps between root beer and cola:

(xd - d) / (sd / n) t

where xd represents the sample mean difference, d represents the hypothesised population mean difference (which is 0), sd represents the sample standard deviation of the differences, and n represents the sample size.

We calculate the sample mean difference to be -2.45 and the sample standard deviation of the differences to be 2.69 using the data in the table. We get a t-value of -3.365 with 19 degrees of freedom after plugging in these values. The critical t-value for a 95% confidence interval with 19 degrees of freedom is 2.093, according to a t-distribution table.

As a result, the 95% CI for the true difference in the mean number of burps between root beer and cola is (-4.24, -0.66). This means that we are 95% certain that the true population mean difference is within this range.

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Answer:

X = 3   Y = -3

Step-by-step explanation:

The arrow is on X = 3 and the other side of arrow is on Y = -3

Hope I helped

The constant of proportionality is equals to four quarters per dollar. The one dollar amount is equals to four quarters.

The constant of proportionality is the ratio of the called proportional relationship that relates two given values to each other. Other names for constant of proportionality are constant ratio, constant rate, unit rate etc . Formula :

We have, a proportional relationship between the amount of money in dollars, x, and the number of quarters, y. Now, we have to calculate constant of proportionality for provide data.

x ( dollars) 4 7 11 13

y(quarters ) 16 28 44 52

a) constant of proportionality, k = y/x = 16/4 = 4

b) constant of proportionality,k = 28/7 = 4

c) constant of proportionality, k = 44/11 = 4

d) constant of proportionality,k = 52/13 = 4

So, the constant of proportionality,k = 4 quarters per dollar , that is one dollar = four quarters.

Hence, one dollar is equals to 4 quarters.

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Answer:

The answer is 5.2. Your welcome :)

Step-by-step explanation:

Answer:

375

Step-by-step explanation:

Since they started at the same point and went in opposite directions, add the 2 distances.

162.5 + 212.5 = 375

Answer:

3,500,000

Step-by-step explanation:

Answer:

Sue biked 3,500,000 centimetres.

Step-by-step explanation:

First, multiply 5 km by 7 (days). 5 × 7 = 35 km

Convert the kilometres to centimetres.

There are 100,000 cm in a kilometer, so multiply:

35 × 100,000 = 3,500,000 cm.

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Answer:

Step-by-step explanation:

x=4.65

Hypotenuse: the side opposite the right angle.

Adjacent:  the side next to the angle.

Opposite: the side opposite the angle.

Answer:

SOH Cah Toa

Step-by-step explanation:

As there is an adjacent side and Hypotenuse value, so it will be sin.

so the equation will be Cos X opposite/hypotenuse

cos 65=x/11

x=11cos65

which is by calculator: 4.65(3s.f)

Answer:

C

Step-by-step explanation:

It can't be B or D, because there is only a difference in the X axis (Meaning it goes either left or right)

It can't be A because 2 is less than 11, so (2, -1) would be left 9 units in relation to (11, -1)

Mathematical and statistical tools provide a range of methods to rate the overall performance of a system and its components. These tools enable the measurement, analysis, and evaluation of various performance indicators, leading to informed decision-making, targeted improvements, and increased efficiency and effectiveness of the system.

Mathematical and statistical tools are invaluable in evaluating the overall performance of a system and its components. These tools provide objective measures and techniques to assess various aspects of system performance, enabling us to make informed decisions and improvements. Here are some common approaches used for rating system performance:

Key Performance Indicators (KPIs): KPIs are specific metrics that align with the goals and objectives of a system or organization. They help measure critical performance indicators such as customer satisfaction, productivity, revenue, or efficiency. By tracking KPIs over time, one can evaluate the overall performance and identify areas that require attention.

Statistical Process Control (SPC): SPC involves using statistical methods to monitor and control processes. It utilizes control charts to track process variation and detect any deviations from desired performance. SPC enables early identification of issues, allowing for timely corrective actions to be taken to maintain optimal system performance.

Quality Metrics: Quality metrics provide insights into the quality level of a system or its components. These metrics may include defect rates, error rates, customer complaints, or adherence to specifications. By monitoring and improving quality metrics, one can ensure that the system meets or exceeds defined quality standards.

Reliability Analysis: Reliability analysis focuses on assessing the reliability and availability of a system or its components. Techniques such as failure rate analysis, mean time between failures (MTBF), or mean time to repair (MTTR) help quantify the reliability and predictability of system performance. This analysis aids in identifying weak points and optimizing system maintenance and downtime planning.

Cost-Benefit Analysis: Cost-benefit analysis evaluates the economic impact of system performance. It considers both the costs associated with maintaining and improving the system, as well as the benefits derived from enhanced performance. This analysis helps prioritize investments and initiatives that yield the highest return on investment and overall system performance improvement.

Data Analytics and Machine Learning: Advanced data analytics and machine learning techniques can be applied to large datasets to uncover patterns, correlations, and anomalies in system performance. These tools enable predictive modeling, anomaly detection, and optimization algorithms that enhance overall system performance.

Benchmarking: Benchmarking involves comparing system performance against industry standards or competitors. By analyzing how well the system performs relative to others, benchmarking facilitates identifying areas for improvement and setting performance goals.

In summary, mathematical and statistical tools provide a range of methods to rate the overall performance of a system and its components. These tools enable the measurement, analysis, and evaluation of various performance indicators, leading to informed decision-making, targeted improvements, and increased efficiency and effectiveness of the system.

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The algebraic laws for the given expressions are Identity Law and Zero Law

The algebraic laws for the given expressions are:

A.1 = A: (Identity Law)

This law states that any variable or expression multiplied by 1 remains unchanged. In this case, A multiplied by 1 is still A.

A.0 = 0 (Zero Law)

This law states that any variable or expression multiplied by 0 equals 0. In this case, A multiplied by 0 equals 0.

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