The expressions that are equivalent to 8p+6p answers: p+14 : p•14 : 13p : 14p

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.

For more such questions on  parallax problem

https://brainly.com/question/17057769

#SPJ8

A(n) = 3 + 7(n-1)

Arithmetic sequences have common differences and change by the same amount between each term.

Arithmetic Sequences

Arithmetic sequences change by the same amount each term. In the sequence above, each term increases by 7. This means that 7 is added to the previous term to make the new term. Using this information we can write a function to represent this sequence.

Explicit Rule

The function that describes an arithmetic sequence is known as an explicit rule. Explicit rules are written as A(n) = A(1) + d(n-1). In this equation, A(1) represents the first term in a sequence and d represents the common difference. As you can see, the first term is 3, so A(1) = 3. The common difference is the change between terms. The previous paragraph shows that the common difference for this sequence is 7.

This means the explicit rule for this sequence is A(n) = 3 + 7(n-1).

Answer:

Step-by-step explanation:

Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

Answer:

500 cubic centimetres

Step-by-step explanation:

Answer: figure ii

Step-by-step explanation:

1. 7x-2y = 5 and -7x + 3y = 4

We add both together :
7x - 2y + (-7x + 3y) = 9.
7x - 2y - 7x + 3y = 9
y = 9.

-> x = (5+2x9)/7 = 23/7 (reverse finding x from the first equation.)

2. 5x + y = 7 and 2x - y = 14

We add both together once again :
5x + y + 2x - y = 21
7x = 21
x=3
-> y = 3 x 2 - 14 = -8 (reverse finding y from the second equation.)

3. 5x - 3y = 32 and 2x + 3y = 10

We add both together :
5x - 3y + 2x + 3y = 42
7x = 42
x = 6

-> y = (10-6 x 2)/3 = -2/3 (reverse finding y from the second equation.)

Answer:

1/5x(41-19h)

41/5-19/5h

Step-by-step explanation:

u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is,   \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\) = \(\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right]\)

Given data,

Let u [-16 18 10] and A [2 -3 1 -4 5 1]

u in the plane in set of real numbers rℝcubed3 spanned by the columns of A,

So,

We can write,

u = \(\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right]\) and A = \(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)

Then,

AX = b

w = \(\left[\begin{array}{ccc}2&-3&-16\\1&-4&18\\5&1&10\end{array}\right]\)

A = \(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)

null A = \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)

\(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)    \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)= \(\left[\begin{array}{ccc}0&\\0&\\0&\end{array}\right]\)

2\(x_{1}\) - 3\(x_{2}\) = 0

\(x_{1}\) - 4\(x_{2}\) = 0

5\(x_{1}\) + 1\(x_{2}\) = 0

We can solve the equations,

2\(x_{1}\) - 3\(x_{2}\) = 0

\(x_{1}\) - 4\(x_{2}\) = 0

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

\(x_{1}\) - 7\(x_{2}\) = 0

\(x_{1}\) = 7\(x_{2}\)

We can substitute \(x_{1}\) values,

2\(x_{1}\) - 3\(x_{2}\) = 0

2*7\(x_{2}\) - 3\(x_{2}\) = 0

\(14x_{2}\) - 3\(x_{2}\) = 0

11\(x_{2}\) = 0

\(x_{2}\) = 0

\(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)    \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)= = \(\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right]\)

2\(x_{1}\) - 3\(x_{2}\) = -16

\(x_{1}\) - 4\(x_{2}\) = 18

5\(x_{1}\) + 1\(x_{2}\) = 10

We can solve the matrix equations,

2\(x_{1}\) - 3\(x_{2}\) = -16

\(x_{1}\) - 4\(x_{2}\) = 18

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

\(x_{1}\) - 7\(x_{2}\) = 2

\(x_{1}\) = 2 + 7\(x_{2}\)

\(x_{1}\) = 2 + 7(0)

\(x_{1}\) = 2

2\(x_{1}\) - 3\(x_{2}\) = -16

2*2 - 3\(x_{2}\) = -16

4 - 3\(x_{2}\) = -16

- 3\(x_{2}\) = -16 - 4

- 3\(x_{2}\) = -20

3\(x_{2}\) = 20

\(x_{2}\) = 20/3

\(x_{2}\) = 6.66

Therefore,

u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is,   \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\) = \(\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right]\)

To learn more about Matrix problems visit :

brainly.com/question/15892044

#SPJ4

Answer:

64

Step-by-step explanation:

The minute hand moves through 7 right angles between 9:00 and 10:45, as it travels a total of 630 degrees in that time period, and each right angle corresponds to 90 degrees.

To calculate the number of right angles the minute hand moves between 9:00 and 10:45, we need to determine the total angle traversed by the minute hand during this time period.

In a clock, the minute hand completes a full revolution (360 degrees) in 60 minutes. Therefore, the minute hand moves 360/60 = 6 degrees per minute.

Between 9:00 and 10:00, there are 60 minutes. So, during this hour, the minute hand moves 6 degrees per minute * 60 minutes = 360 degrees.

From 10:00 to 10:45, there are 45 minutes. So, during this period, the minute hand moves 6 degrees per minute * 45 minutes = 270 degrees.

Therefore, between 9:00 and 10:45, the minute hand moves a total of 360 degrees + 270 degrees = 630 degrees.

Since each right angle corresponds to 90 degrees, we can calculate the number of right angles by dividing the total angle by 90 degrees: 630 degrees / 90 degrees = 7 right angles.

Hence, the minute hand moves through 7 right angles between 9:00 and 10:45.

Learn more about right angles here:

https://brainly.com/question/29076451

#SPJ11

Answer:1,4,5

Step-by-step explanation:

Find the surface area of a Cuboid of length, breadth, and height equal to 12 cm, 8 cm and 5 cm respectively.

\( \bullet \) Length (l) of a Cuboid is 12 cm.

\( \bullet \) Breadth (b) of a Cuboid is 8 cm.

\( \bullet \) Height (h) of a Cuboid is 5 cm.

The surface area of a Cuboid.

We know,

Formula of surface area of a Cuboid is 2(lb + bh + lh) sq units.

So, Surface area of a Cuboid = 2(12×8 + 8×5 + 12×5) sq cm.

= 2(96 + 40 + 60) sq cm.

= 2 × 196

= 392 sq cm

Answer:

Step-by-step explanation:

Edward drew the following cards: 3, -3, -4, 5, 10, -7

He follows the steps:

Positive 4 means 4 steps ahead

Correct option is B)

Descriptive statistics are used to summarize data in a useful and informative manner.

This type of statistics provides meaningful information about the data set by organizing and presenting it in an easily understandable format. Descriptive statistics can be used to summarize the data in the form of tables, graphs, and charts. It can also be used to provide detailed information about the data set, such as the mean, median, mode, standard deviation, and range.

Descriptive statistics can also be used to make inferences about a population. This is done by comparing the data collected from a sample to the characteristics of the population. By understanding the characteristics of the population, researchers can make accurate predictions about the behavior of the population.

Descriptive statistics can also be used to determine if the data adequately represent the population. This involves analyzing the sample size, data accuracy, and the assumptions made about the population. If the data does not accurately represent the population, then researchers have to make changes to their data collection process or revise their assumptions about the population.

Finally, descriptive statistics can be used to gather or collect data. This involves designing surveys, experiments, and other data collection methods. By using descriptive statistics to collect data, researchers can ensure that the data is valid and reliable.

To know more about statistic click-
https://brainly.com/question/15525560
#SPJ1

The Confidence Interval for the hypothesis test at the 5% level to determine if 68% represents California is 0.65, 0.90.

First, we need to find H₀ and Hₐ. In this case, we want to check whether California community colleges take 68% of the online classes thought by full-time faculties, or not.

H₀ : p = 0.68; Hₐ : p ≠ 0.68

Second, we need to determine the distribution needed. State what our random variable P’ represents.

Normal: N

Test Statistic : z = 0.1873

Third, we have to calculate he p-value using the normal distribution for proportions.

p-value = 0.1873

If the null hypothesis is true (the proportion is 0.68), thus there is a 0.1873 probability which the estimated proportion is 0.773 or more.

Fourth, we need to compare \(\alpha\) and the p-value, then indicate the correct decision (reject or do not reject the null hypothesis).

\(\alpha\) = 0.05

Decision : Do not reject the null hypothesis

Reason for decision : p-value > 0.05

At the 5% level, the data do not provide statistically significant evidence that the true proportion of online courses taught by full-time faculty is not 68%.

Last, define the confidence interval. The confidence interval is (0.6275, 0.8725) = (0.65, 0.90).

Learn more about confidence interval at: https://brainly.com/question/24131141

#SPJ4

The probability that there is at least two 4s in the three throws is 0.05 or 5%

Probability

In statistics, probability deals with the possibility of happening of the events.

Given,

Here we know that the throw a fair die three times. if we observe the first throw is a 4.

And we need to find the probability that there is at least two 4s in the three throws.

According to the given question, we know that the dice is thrown 3 time.

Then the sample space of the given event is 216.

Here we know that the first throw has 4.

And we need to find the probability of getting two 4s in the 3 throws,

So, the possible number of events are.

=> {444, 441, 442, 443, 445, 446, 414, 424, 434, 454, 464}

So, the total possible number is 11.

Then the probability is,

=> 11/216

=> 0.05 or 5%

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

A = $80

Step-by-step explanation:

A = 240 - 20w

B = 320 - 30w

Equate both equations

240 - 20w = 320 - 30w

Collect like terms

240 - 320 = -30w + 20w

-80 = -10w

Divide both sides by -10

w = -80/-10

w = 8

Substitute w into equation A

A = 240 - 20w

= 240 - 20(8)

= 240 - 160

= 80

A = $80

Answer: 2x = $90

Step-by-step explanation:

From the question, we are informed that Brady is selling candy bars for a school fundraiser to help pay for new sports uniforms and that he gets paid $2 for every candy bar he sells, and he made a total of $90 on Saturday.

The equation showing the number of candy bars Brady sold on Saturday goes thus:

Let the number of candy bars sold on Saturday be x.

Since each candy bar is sold for $2 and he made a total of $90, this means that the $90 gotten is the product of each candy bar and the amount sold which we represented by x. Therefore the equation will be:

2 × x = $90

2x = $90

We can further solve to get x.

2x = 90

x = 90/2

x = 45

That means 45 candy bars were sold.

Answer:

hi, so i belive the correct option to your question is:

2x = 90

Step-by-step explanation:

it just makes the most sense to me because 2x which could mean two times which in the equation it says he makes to dollars per candy bar sold, so it makes more sence for it to be 2x rather than 90x. and then it says he made a total of ninty dollars on saturday which is a key factor in solving this equation so think it would be 2x = 90$.

im really not sure if this logic makes sence, im not super good with algebra but i hope this helps you out.

Answer:

I can't really answer but you could download photomath it basically answers these questions by itself

Step-by-step explanation:

hope this is enough

Answer:

Step-by-step explanation:

20-degree angle

Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

The number of orders of magnitude that the kilogram is as heavy as the microgram is 10⁹.

The kilogram and the microgram are multiples of the gram which is the basic unit for measuring the mass of objects.

The kilogram is a higher multiple of the gram whereas the microgram is a smaller multiple of the gram.

1 kilograms = 1000 grams

1 microgram = 1/1000000 gram

Hence,

1 microgram = 1/1000000 * 1/1000 kilograms

Therefore, the ratio of kilograms to micrograms is 10⁹ : 1

Learn more about kilograms and micrograms at: https://brainly.com/question/8008942

#SPJ1

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

For similar question on population proportion.

https://brainly.com/question/29516589  

#SPJ8

On simplifying the proportion 18:54:12, we get answer as 3:9:2.

The following are crucial proportional characteristics:

If a: b = c: d, then a + c: b + d. Addendum

A - c: b - d if a: b = c: d. Subtrahendo

Dividendo states that if a: b = c: d, then a- b: b = c- d: d.

If a: b = c: d, then a Plus b: b Equals c+d: d. This is known as combining.

To put it another way, if a: b = c: d, then a: c = b: d.

On simplifying,

18:54:12

Firstly, dividing the all numbers by 3

= 6:18:4

Now dividing by 2

= 3:9:2

To learn more about proportions from given link

https://brainly.com/question/18437927

#SPJ10

Answer:

200 seconds

Step-by-step explanation:

1 km = 1000m

3 km = 3000m

How long would it take to travel 3 km at a speed of 15 m/s?

The equation to solve this is:

Time = Distance / Rate

D = 3km or 3000m

R = 15 m/s

3000 divided by 15 = 200 seconds

So, it would take 200 seconds to travel 3 km at a speed of 15 m/s

Answer:

Below

Step-by-step explanation:

You need to have consistent units

  3 km = 3000 m

Distance / rate = time

 3000 m / 15 m/s = 200 seconds

The solutions for the inequality y < 2/7 x + 1 exists on all the four quadrants.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given linear inequality is,

y ≤ 2/7 x + 1

We have to solve the inequality to find the values of x and y.

Consider  y = 2/7 x + 1

When x = 0, y = 1

When x = 7, y = 3

When x = 14, y = 5

.........

The line  y = 2/7 x + 1 passes through the points (0, 1), (7, 3), (14, 5), ...

Consider y ≤ 2/7 x + 1.

At origin (0, 0), 0 ≤ (2/7 × 0) + 1 ⇒ 0 ≤ 1, which is true.

So the solution of y ≤ 2/7 x + 1 contains the side of the line which includes origin.

Since the solution lies in all the four quadrants, the correct option is d.

Hence the solutions exist on all the four quadrants.

Learn more about Linear Inequalities here :

https://brainly.com/question/30589782

#SPJ1

Answer:

x(3+9)=72

or, x(12)=72

or, x=72÷12

or, x = 6 ans.

Answer: x=6

Step-by-step explanation:

Let's solve your equation step-by-step.

x(3+9)=72

Step 1: Simplify both sides of the equation.

12x=72

Step 2: Divide both sides by 12.

12x/12=72/12

x=6

Answer:

x=6