The values of distance and orbital periods of planets Mercury is 0.39AU and 0.242yrs,Venus 0.72AU distance and 0.616yrs,Earth 1AU distance and 1yrs,Mars 1.52AUdistance and 1.88,Jupiter 5.2AUdistance and 1.88 ,Saturn N/Adistance and NA years as infromation is not provided,Uranus 19.18AUdistance and 84yrs,Neptune 30.06AUdistance and165yrs.
Based on the given information, here are some key facts about the planets in our solar system:
- Mercury is the closest planet to the Sun, with a distance from the Sun of 0.39 astronomical units (AU). It has an orbital period of 0.242 years.
- Venus is the second planet from the Sun, with a distance of 0.72 AU. Its orbital period is 0.616 years.
- Earth is the third planet from the Sun, with a distance of 1 AU. Its orbital period is 1 year.
- Mars is the fourth planet from the Sun, with a distance of 1.52 AU. Its orbital period is 1.88 years.
- Jupiter is the fifth planet from the Sun, with a distance of 5.2 AU. Its orbital period is 11.86 years.
- Saturn is the sixth planet from the Sun, with a distance of N/A AU. Its orbital period is N/A.
- Uranus is the seventh planet from the Sun, with a distance of 19.18 AU. Its orbital period is 84 years.
- Neptune is the eighth planet from the Sun, with a distance of 30.06 AU. Its orbital period is 165 years.
Therefore the the distance and orbital periods are in increasing arrangement mercury, venus, earth, mars, jupiter, saturn ,uranus, neptune distance from the sun.
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what can we conclude about having large differnces in robust standard errors adn the usual standardwrrors
When there are large differences between robust standard errors and usual standard errors, we can conclude that there may be issues with the assumptions of the statistical model.
Robust standard errors are typically used when there are concerns about heteroscedasticity or the presence of outliers in the data. In contrast, usual standard errors assume that the errors are homoscedastic and normally distributed.
Large differences between the two types of standard errors may indicate that the assumptions of the usual standard errors are violated, and that the robust standard errors provide a more accurate estimate of the standard error. It is important to consider both types of standard errors when conducting statistical analysis and to interpret the results accordingly.Know more about the standard errors
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The Pythagorean Theorem
(if the diameter of the table is 86 inches, will it fit through a rectangular door that measures 30 inches by 84 inches?)
Answer:
No it won't
Step-by-step explanation:
Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86
Write the number
as a fraction 0.233333
1/3 is equal to 0.3333333...
1/10 is equal to 0.1
If you subtract the two you will get a fraction equal to 0.23333333...
\(\frac{1}{3} - \frac{1}{10} \\\\\)
Get a common denominator
\(= \frac{10}{30} - \frac{3}{30}\)
Then combine them
\(= \frac{10-3}{30}\\\\= \frac{7}{30}\)
Your answer is \(\frac{7}{30}\)
assuming that all card picks here are fair, what is the probability of getting either a spade or a club when you pick one card out of a standard deck?
Write a function rule for “The output is five more than the input.”
y=x-5
y=x+5
y=mx=b
Answer:
y = x + 5
Step-by-step explanation:
The output (y) is five more than the input (x)
and this is expressed symbolically as
y = x + 5
Find the equation of a line that passes through the points (3,2) and (5,8). Leave your answer in the form y = m x + c.
The equation of the line is given by y = 6x - 4, where m is the slope (6) and c is the y-intercept (-4).
To find the equation of a line that passes through two points, we need to calculate the slope of the line, m, as well as the y-intercept, c. The formula for calculating the slope is m = (y2 - y1)/(x2 - x1). In this case, we have two points (3,2) and (5,8). Therefore, m = (8 - 2)/(5 - 3) = 6. Next, we need to calculate the y-intercept. We can do this by substituting either point into the equation for the line and solving for c. If we use the point (3,2), then we have 2 = 6(3) + c, which simplifies to c = -4. Therefore, the equation of the line is y = 6x - 4.
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pls answer both correctly i will give points
Step-by-step explanation:
a) 2(5) + (-3) = 10 - 3 = 7
b) (16) - (9) - 2 = 5
please give me a brainliest answer
The sum of 5 times a number and 2.5 is equal to or greater than 22.5. What are all the possible values?
Answer:x is greater than or equal to 4
Step-by-step explanation:
5x +2.5>22.5
22.5-2.5 = 20
20/5 = 4
x is greater than or equal to 22.5
Answer: The possible answer could be greater than.
Step-by-step explanation:
Water pressure can be measured in atmospheres (atm). At 30 meters in depth the water pressure measures 4 (atm). At 50 meters in depth under water the pressure is 6 (atm). Write a linear function for pressure based on the depth in meters. Please show work.
y = 0.1x + 1 is the linear function for pressure based on the depth in meters
How create a linear function for the pressure based on the depth in meters?Given that: At 30 meters in depth the water pressure measures 4 (atm)
At 50 meters in depth under water the pressure is 6 (atm)
We will consider the two given data values as our points 1 and 2 respectively. And that is what we are going to use to create a linear function for pressure
Let the y and x represent the pressure and depth respectively
point 1 (30, 4) and point 2 (50, 6)
slope(m) = y2-y1 / x2-x1
where x1 =30, y1 = 4 and x2 = 50, y2 = 6
slope(m) = 6-4 / 50-30 = 2/20 = 1/10
Linear function are of the form y-y1 = m(x-x1). Thus:
y-4 = 1/10 (x-30)
y-4 = 1/10(x) - 3
y = 1/10(x) + 1 = 0.1x + 1
Therefore, the linear function for pressure based on the depth in meters is y = 0.1x + 1
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Place an inequality symbol between each fraction pair. State reasoning or rationale. (8)/(9),(10)/(12) -(5)/(6),-(6)/(8) Circle fractions that are completely simplified. State how this was determined.
No common factors
For the first set of fractions, the inequality symbol would be <, as 8/9 is less than 10/12. The rationale for this is that when fractions have different denominators, the fraction with the smaller denominator is always less. For the second set of fractions, the inequality symbol would be >, as -5/6 is greater than -6/8. The rationale for this is that when two fractions have the same denominator, the fraction with the larger numerator is always greater. The fractions that are completely simplified are 8/9, -5/6, and -6/8. This is because they cannot be reduced any further as they have no common factors.
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the medical college admission test is required for admission to many u.s. medical schools. scores on the mcat are normally distributed with mean 25.0 and standard deviation 6.4.
The mean score of 25.0 represents the average performance on the MCAT, while the standard deviation of 6.4 indicates the spread of scores around the mean.
The Medical College Admission Test (MCAT) is a required exam for admission to many medical schools in the United States. MCAT scores follow a normal distribution with a mean of 25.0 and a standard deviation of 6.4.
In a normal distribution, the majority of scores cluster around the mean, with fewer scores farther away. This distribution allows medical schools to evaluate applicants' performance relative to other test takers. The mean score of 25.0 represents the average performance on the MCAT, while the standard deviation of 6.4 indicates the spread of scores around the mean.
The MCAT is a standardized exam that assesses an individual's knowledge of scientific concepts, critical thinking skills, and problem-solving abilities necessary for success in medical school. The normal distribution of MCAT scores means that most test takers fall near the mean score of 25.0.
The standard deviation of 6.4 indicates the average amount of variability or dispersion of scores from the mean. This implies that approximately 68% of test takers will have scores within one standard deviation of the mean (between 18.6 and 31.4), while around 95% will have scores within two standard deviations (between 12.2 and 37.8).
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1) What is the difference? Complete the equation.
-2 – 8= ?
Answer:
-2 -8 is -10 because we’re subtracting 8 out of -2
brainliest please
Answer:
-10
Step-by-step explanation:
-2 - 8 = -10
When you subtract a negative, the minus sign becomes a plus sign and the negative number becomes positive.
Hope this helps!
The Arnolds want to install a 3 ft tall circular pool with a 15 ft diameter in their rectangular patio. The patio will be surrounded
by new fencing, and the patio area surrounding the pool will be covered with new tiles.
How many square feet of ground will be covered in tiles? Round to the nearest tenth's place.
Write an equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3.
y=-1/2x-1 is equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3.
The slope of given line is 2
The slope of perpendicular line is -1/2
Now let us find the y intercept
1=-1/2(-4)+b
1=2+b
b=-1
Now the equation is y=-1/2x-1
Hence, equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3 is y=-1/2x-1.
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In a population of spiders, there is a protein that is coded in the
DNA to make venom. In a particular spider, there was a protein
variation due to a change in the genetic code. This protein
variation caused the spider's venom to be stronger to kill its prey.
This genetic variation was passed down to offspring and was
favored due to the amount of time shortened to eat its prey.
What will likely happen to this population of spiders?
eventually all of the offspring will have the genetic variation
Step-by-step explanation:
the variation was passed down to its offspring, and was favored, so it is now just part of its genetics, meaning all of the offspring from the original spiders offspring, will also have the genetic variation. hope this helps :)
The side lengths of a triangle are 15 units, 47 units and $\dfrac{x}{2}$ units. How many integer values of $x$ are possible
There can be an infinite number of integer values of x possible.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side for it to be a valid triangle. So, for a triangle with side lengths 15, 47 and \($\dfrac{x}{2}$\) the condition for the triangle to be valid is:
15 + 47 >\($\dfrac{x}{2}$\)
30 > \($\dfrac{x}{2}$\)
2\times30 > x
x > 60
Since xmust be an integer, the possible values of x are any integer greater than 60. Thus, there can be an infinite number of integer values of x possible.
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The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200 miles.
A map of the United notes.
Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?
< d
The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:
300 < d < 699.
When does a set of three measurements can represent a triangle?A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.
The measurements for this problem are given as follows:
500 miles.200 miles.x miles.Then if 500 miles is the largest distance, we have that:
x can be between 300 and 500.
If x is the largest distance, we have that:
x can be between 501 and 699.
Then the range of possible distances is given as follows:
300 < d < 699.
(which are the distances for each case).
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Answer:
see picture
Step-by-step explanation:
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
Please help. I just don’t feel like doing it rn
Answer:
mm
Step-by-step explanation:
Simplify each trigonometric expression. 1-cos²θ
The simplified form of the trigonometric expression 1 - cos²θ is sin²θ.
To simplify the trigonometric expression 1 - cos²θ, we can use the trigonometric identity:
sin²θ + cos²θ = 1
Rearranging this identity, we get:
cos²θ = 1 - sin²θ
Now, substituting this into the original expression, we have:
1 - cos²θ = 1 - (1 - sin²θ)
Simplifying further:
1 - cos²θ = 1 - 1 + sin²θ
Combining like terms:
1 - cos²θ = sin²θ
So, the simplified form of the trigonometric expression 1 - cos²θ is sin²θ.
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The list below show test scores for 1st period on a recent test. Finding the mean deviation. 62 63 64 71 96 97 98 99 100 100
Answer:
16
Step-by-step explanation:
just use a mean absolute deviation calculator next time
find the length of BC
Answer:
13.3650978628
Step-by-step explanation:
Angle A=180-(Angle B+C)=180-117=63
Here,
b=BC, p=AC & AB=12
Using the relation of cos,
cosx=b/h
cos27=BC/15
15cos27=BC
Using a calculator,
BC=13.3650978628
The perimeter of a rectangle is 16 inches. The equation that represents the length of the rectangle and a represents the width of the rectangle.which means is possible for the length of the rectangle?
Answer and Step-by-step explanation:
As we know that
\(Perimeter\ of\ rectangle = 2\times (length + breadth)\)
Given that
The perimeter of a rectangle is 16 inches i.e length and breadth should be measured by that way in which the perimeter of rectangle comes 16 inches
We considered four way of measuring the perimeter
Length Width Perimeter
1 7 16
2 6 16
3 5 16
4 4 16
Simple it is as we multiply the 8 by 2 it gives 16 inches and the same is displayed above
So there are four combinations of 8 how it came.
Answer:
A
Step-by-step explanation:
Edgenuity
the half-life for radioactive decay of 14c is 5730 years. an archaeological artifact containing wood is found to have lost 15% of its initial amount of 14c. estimate the age of the sample. a. 15689 years b. 1434 years c. 1344 years d. 1845 years e. 15869 years
Based on the information supplied, the estimated age of archaeological sample is = 0.183536 years.
The given half life is 5730.
t₆.₅ = Ln2/k
k= ln 2/ 5730
The rate of change,
k = 0.00012 year⁻¹
Given that 15 % of the 14C is still present,
|A1|/|A2| = e ⁻₍kt₎3
Consequently,
|A1|/|A2| = 0.18
As a result of solving the equation, we obtain,
ln(0.18)= -1.7147
t = -0.31471/ —1.7147
= 0.183536 years
The half-life is the amount of time required for a quantity (of material) to drop to half of its initial value (symbol t12). The phrase is widely used in nuclear physics to emphasise how quickly unstable atoms decay radioactively or how long stable atoms remain. The term is often used to denote any type of exponential decay (or, very infrequently, nonexponential decay).
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math
please help me solve this, i do not understand it at all
Answer:
a = -4, 5
Step-by-step explanation:
You're looking to find points whose limits are equal to -4, which means that they must fufill two requirements:
The values immediately outside the point are pretty much -4The two sides must both be close to -4.Additionally, if a point is simply equal to -4, the limit will also be equal to -4.
what is 9/20 as a percentage lol hate maths watch
9 / 20 = 45 / 100 = 45%
please give brainliest
Answer: 45%
Step-by-step explanation: 9/20 as a percent is expressed as 45%
Which of the following are exterior angles? Check all that apply.
Answer:
B) ∠6
E) ∠2
F) ∠5
I haven't been on this topic for a while, so I apologize if this is incorrect.
Step-by-step explanation:
the sampling distribution of the sample sum is normally distributed if thirty or more observations are taken from a population that is beta distributed.
According to the central limit theorem for sums, if you keep taking sums from bigger and bigger samples, the sums will eventually form their own normal distribution (the sampling distribution), which will become more similar to a normal distribution as the sample size grows.
What exactly does "normal distribution" mean?A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.Because the probability density graph of the normal distribution resembles a bell, it is frequently referred to as the bell curve. In honor of the German mathematician Carl Gauss, who initially characterized it, it is often referred to as the Gaussian distribution.The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it accurately depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.
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Part A: A statement about rational numbers is shown.
The product of two negative rational numbers is greater than either factor. Is the statement always true, sometimes true, or never true? Explain your answer. Provide at least two examples to support your answer.
Part B: A different statement about rational numbers is shown.
The product of two positive rational numbers is greater than either factor. Provide at least two examples to show that this statement is only sometimes true.
i didn’t realize u were chill like that
Calculate the area of the regular pentagon.
The area of the regular pentagon is 252.7m²
How to determine the valueThe formula that is used for calculating the area of a regular pentagon is expressed with the equation;
A = 5/2 x s x a
where the parameters are;
's' is the side of the pentagon 'a' is the apothem length.Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
apothem,a = s/2 tan (180/n)
Substitute the values
Apothem, a = 7.6/2 tan 16
a = 7.6/0.57 = 13.3m
Substitute the values, we get;
Area = 5/2 × 7.6 × 13.3
Multiply the values, we have;
Area = 505. 4/2
Divide the values, we get;
Area = 252.7 m²
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