Saturn’s rings span up to about (7.5 · 10^-1) of the distance between the Earth and its moons. Of Saturn’s rings span up to (2.82 · 10^5 kilometers, what is the distance between Earth and its moons.

3.76 · 10^5 km

21,150 km

21.15 · 10^4 km

2.115 · 10^5 km

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

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The result of this division is x + 7, and the remainder is 3x - 4. Therefore, we can write: x² + 6x - 4

How to divide given polynomials?

To divide the given polynomials, we will use long division. The first step is to divide the highest degree term of the numerator, which is x², by the highest degree term of the denominator, which is x:

      x

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

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

The result of this division is x, and we write it above the long division bar. Then, we multiply the divisor x-1 by x, which gives us x² - x. We write this below the numerator, and subtract it from the numerator:

      x

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

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

          ---------

               7x - 4

Now we bring down the next term of the numerator, which is -4, and repeat the process:

      x + 7

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

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

          ---------

               3x - 4

The result of this division is x + 7, and the remainder is 3x - 4. Therefore, we can write:

x² + 6x - 4

x - 1 = x + 7 + (3x - 4)/(x - 1)

So, the answer is p(x) = x + 7 and k = 3. Therefore:

x² + 6x - 4

x - 1 = x + 7 + 3/(x - 1)

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Answer: 17 cents

The denominator 100 means 1 dollar. So when it comes to cents it is practically useless

Answer:

The vertex is at (h, k), which here is (1, -16).

Step-by-step explanation:

Compare the given y = (x - 1)2 - 16          (which should be y = (x - 1)^2 - 16 )

to                               y = (x - h)^2 - 16.

We can readily see that h = 1 and k = -16.

The vertex is at (h, k), which here is (1, -16).

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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To construct a truth table for the expression `(x+y′)(x′+z′)(y′+z)`, follow the steps given below:

Step 1: Write the given expression, `(x+y′)(x′+z′)(y′+z)`.

Step 2: List out all possible combinations of the given variables in a table. There are three variables x, y and z, so there will be 2³ = 8 combinations. Let's list them as follows: x=0, y=0, z=0 x=0, y=0, z=1 x=0, y=1, z=0 x=0, y=1, z=1 x=1, y=0, z=0 x=1, y=0, z=1 x=1, y=1, z=0 x=1, y=1, z=1

Step 3: Evaluate the expression `(x+y′)(x′+z′)(y′+z)` for each combination of variables, and write the output values in the truth table. To do this, substitute the given variable values in the expression and then simplify to get the output.

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Answer:

64

Step-by-step explanation:

Take the total number of seats and divide by the number of seats per row to determine the number of rows.

640/10

64

There are 64 rows

Answer:

64

Step-by-step explanation:

because 10 devise by 640 equals to 64

The interval of I₁ or I₂ or I₄ is  (2.5 ,10].

The interval of I₁ and I₂ is  [3 , 5.5] .

The interval of I₁ and I₃ is  [5.5]

The interval of I₁ and I₄ is (5.6 , 7]

(a) because the all 3 intervals square measure connected by or which suggests they're going to all embrace the quantity lying from interval one to three and is given by (2.5 ,10].

(b) because the interval square measure connected by and which suggests the common numbers lying in interval one and a couple of and is given by [3 , 5.5] .

(c) because the interval square measure connected by and which suggests the common numbers lying in interval one and three and is given by [5.5]

(d)As the interval square measure connected by and which suggests the common numbers lying in interval one and four and is given by (5.6 , 7] .

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The complete question is given below :

Given the intervals I₁ = (2.5, 5.5], I₂ =[3, 6], I₃=[5.5, 7] and I₄ = (5.5, 10]. Find

(a) I₁ or I₂ or I₄

(b) I₁ and I₂

(c) I₁ and I₃

(d) I₁ and I₄

Answer:

w = 1

Step-by-step explanation:

10(w+5) = 60

w+5 = 6

w = 6-5

w = 1

Answer: w is 1!

Step-by-step explanation: 5 plus 1 is 6. 6 times 10 is 60! Good luck! :D

Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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Answer:

Is there supposed to be a picture?

Answer:

I need to see the equation not the question only so if you could show me the equation in a screenshot it would help me better understand what the question is and I might be able to answer ur question.

Step-by-step explanation:

Answer:

(x+5)(2x^2 +8)

Multiply (x+5) in both sides

(x+5)(2x^2) × (x+5)(8)

Answer is a

Answer:

0.35 or 35%

Step-by-step explanation:

To find the probability of selecting a junior, you first need to find the total number of juniors.

\(13+20+2=35\)

Then, since we're randomly selecting any student with no restrictions, the sample size is just the 100 given up at the beginning.

Finally, to find the probability of selecting a junior, divide the number of juniors by the total sample size:

\(\frac{n(J)}{n(S)}=\frac{35}{100}=0.35\)

It's reasonable to assume the sample distribution's shape would be similar to the population distribution's shape. However, without more information, we cannot confirm the exact shape of the distribution.

The center of the data distribution is represented by the mean. According to the national Census Bureau, the mean number of people in a household for the entire population is 4.66.

The variability of the population distribution is represented by the standard deviation. In this case, the standard deviation provided by the Census Bureau is 1.94.

So, the center of the data distribution is 4.66, and the variability of the population distribution is 1.94.

Since the Census Bureau has used a random sample of 225 homes, the sample mean (4.8) and standard deviation (2.1) could be used to estimate the population mean and standard deviation. However, these sample statistics are not necessarily equal to the population parameters.

As for the shape of the data distribution, it's difficult to predict without more information about the distribution itself. If the data is normally distributed, the shape would be bell-shaped. If the sample is representative of the population, it's reasonable to assume the sample distribution's shape would be similar to the population distribution's shape. However, without more information, we cannot confirm the exact shape of the distribution.

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Answer:

1 and 2 they both are x=0

Step-by-step explanation:

Answer:

The pair that shows equivalent expressions is -2x - 10 = -2(x+5)

Step-by-step explanation:

If you use the distributive property for the expression -2(x + 5), you will get -2x - 10, which is equivalent to -2x - 10.

Answer:

$23.32

Step-by-step explanation:

Add $22 and $1.32 to get the total.

$22 + $1.32 = $23.32

To determine the local minimum and local maximum of the function A(x) = ∫₀ˣ f(t) dt on the interval (0, 6), we need to analyze the behavior of A(x) and its derivative.

Let's denote F(x) as the antiderivative of f(x), which means that F'(x) = f(x).

To find the local minimum and maximum, we need to look for points where the derivative of A(x) changes sign. In other words, we need to find the values of x where A'(x) = 0 or A'(x) is undefined.

Using the Fundamental Theorem of Calculus, we have:

A(x) = ∫₀ˣ f(t) dt = F(x) - F(0)

Taking the derivative of A(x) with respect to x, we get:

A'(x) = (F(x) - F(0))'

Since F(0) is a constant, its derivative is zero, and we are left with:

A'(x) = F'(x) = f(x)

Now, let's analyze the behavior of f(x) based on the given figure to determine the local minimum and maximum of A(x) on the interval (0, 6). Without the specific information about the shape of the graph, it is not possible to determine the exact values of x that correspond to local minimum or maximum points.

To find the local minimum, we need to locate a point where f(x) changes from decreasing to increasing. This point would correspond to x = x_min.

To find the local maximum, we need to locate a point where f(x) changes from increasing to decreasing. This point would correspond to x = x_max.

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Answer:

#2 Alternate interior angles: 4 & 5 and 3 and 6

#4 :

m∠6 = 55°

m∠3 = 55°

m∠1 = 125°

Reasons: See below

Step-by-step explanation:

Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.

So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°

Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°

Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°

Answer:

it's actually 28+/-√721/7

Step-by-step explanation:

The transformation from the graph of f(x) to g(x) is horizontal shift right 0.333 units and vertical shift is up 5 units.

The given functions are f(x) = x² and g(x)= 4(3x-1)²+5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The transformation is

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right 0.333 Units

Vertical Shift: Up 5 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

Therefore, the transformation from the graph of f(x) to g(x) is horizontal shift right 0.333 units and vertical shift is up 5 units.

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None of these alternatives is correct. The probability of a type ii error (β) is not directly determined by the probability of a type i error (α).

Type i and type ii errors are two types of errors that can occur in hypothesis testing. Type i error occurs when we reject a true null hypothesis, while type ii error occurs when we fail to reject a false null hypothesis.

The probability of a type i error (α) is typically set by the researcher or the significance level chosen for the test. A common value for α is 0.05, which means that there is a 5% chance of rejecting a true null hypothesis. However, the probability of a type ii error (β) depends on various factors such as the sample size, effect size, and the level of significance chosen for the test.

In general, the probability of a type ii error (β) decreases as the sample size increases or as the effect size increases. It also decreases if the level of significance chosen for the test is reduced. However, it is important to note that there is always a trade-off between type i and type ii errors. As the probability of type i error decreases, the probability of type ii error increases, and vice versa.

In conclusion, the probability of a type ii error (β) cannot be determined solely based on the probability of a type i error (α). It depends on several factors and should be considered along with the probability of type i error when making decisions about hypothesis testing.

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Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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Answer:

1 out of 6 because you have only one chance to get 4.

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%

To solve the inequality -1/4a > 3a, we need to first multiply both sides by -4 to get rid of the fraction:
-1a > 12a
Next, we can subtract 12a from both sides to get:
-13a > 0
Dividing both sides by -13 gives us:
a < 0

To solve the inequality b – 12 > -3, we can add 12 to both sides:
b > 9

Now we need to find values of a and b that satisfy both inequalities. Since a < 0, we can try any negative value of a. Let's try a = -1:

-1/4(-1) > 3(-1)
1/4 > -3

This inequality is true, so we can move on to the next inequality. Let's plug in a = -1 and see if it satisfies b > 9:

b – 12 > -3
b > 9

Since -1 satisfies both inequalities, the values that make both inequalities true are: a = -1 and any value of b greater than 9.

A system of equations that could be used to  determine the number of cans of soup purchased and the number of frozen dinners  purchased is:

350x + 500y = 4800

y = 2x

x = number of cans of soup purchased

y = number of frozen dinners purchased.

The system of equations are known as simultaneous equations. Simultaneous equations are group of equations that have to be solved together in order to determine the required values.

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Answer:

I believe that It will take 3 days if 8 farmers will plow 3-hectare land.

Step-by-step explanation:

The work doubled so days will be less in a half.

The area of land the charity planted was 17000 m². The charity met its target

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

1 km = 1000 m

1 km² = 1000000 m²

An environmental charity set a target to plant trees on 9000 m² of land in September.

In September, it planted trees on 0.017 km² of land. Hence:

Area of land planted = 0.017 km² * 1000000 m² per km² = 17000 m²

17000 m² is greater than 9000m². The charity met its target

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Answer:

77

Step-by-step explanation:

Add the numbers together, then divide them to how much numbers are there.

74 + 75 + 80 + 76 + 75 + 81 + 78 = 539

Since there are 7 numbers, you divide 539 by 7.

539/7 = 77

Answer:

77

Step-by-step explanation:

cause you add the numbers up and then you divide how may numers there are