describe each of the following sets by listing its elemesnts. {x|x ∈ n and x^2 - 2x - 8 = 0}

Answer:

Lucas

Step-by-step explanation:

Katie's response would mean that no matter how many ants there are, there will only always be 6 legs, which is incorrect.

Lucas's response would mean that the number of ants would equal the total number of legs divided by 6, which is correct.

As a result, the planet completes one orbit of the star every 460 Earth days. 460 days is the duration in days.

Distance is a measure of how far apart two objects or locations are from one another using numbers. It is a scalar quantity that counts how far an object travels between two places. Many units, including metres, kilometres, feet, miles, etc., can be used to measure distance. In physics, distance and time are frequently combined to calculate other values, including speed or velocity. By dividing the distance an object has travelled by the time it takes to cover that distance, for instance, it is possible to determine its speed. In many other disciplines, such as geology, navigation, and astronomy, distance is also employed to define the spatial relationships between objects or points.

given

To begin, let's calculate the planet's orbital distance using the formula for a circle's circumference:

circumference equals 2r.

where r denotes the planet's orbital radius. When we replace the specified distance of 81,000,000 km, we obtain:

2(81,000,000) km circumference is equal to 509,648,000 km.

The time it takes the planet to complete an orbit can then be calculated using the average speed formula:

Time = Speed / Distance

When we substitute the distance and speed values, we obtain:

11,069.91 hours are needed to complete the 509,648,000 kilometres at a speed of 46,000 km/h.

24, or 11,069.91 hours, make up the number of days.

time = 461.25 days in days.

460 days is the duration in days.

As a result, the planet completes one orbit of the star every 460 Earth days.

To know more about distance visit :-

brainly.com/question/29130992

#SPJ1

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

The given curves are `y = x + 1, y = 0, x = 0 and x = 4` and we are supposed to find the volume `V` of the solid obtained by rotating the region bounded by the given curves about the x-axis.

The region is shown below:Region bounded by y = x + 1, y = 0, x = 0 and x = 4We can observe that the region is a right-angled triangle with perpendicular `4` and base `1`. Now, we need to rotate this right-angled triangle about the x-axis to form a solid of revolution. The solid of revolution obtained is shown below:Solid of revolution obtained by rotating the region about the x-axis Since the region is rotated about the x-axis, the axis of rotation is `x-axis`.

So, the formula for volume of the solid of revolution is given by:`V = pi * ∫[a, b] y^2 dx`Here, the limits of integration are `a = 0` and `b = 4`.We need to express `y` in terms of `x`.Since, `y = x + 1`, we get`x = y - 1`Substituting this value of `x` in `x = 4`, we get`y - 1 = 4``y = 5`So, the limits of integration for `y` are `0 to 5`.So, we have to evaluate the integral:`V = pi * ∫[0, 5] (y - 1)^2 dx`

Simplifying this, we get:`V = pi * ∫[0, 5] (y^2 - 2y + 1) dy``V = pi * (∫[0, 5] y^2 dy - 2∫[0, 5] y dy + ∫[0, 5] dy)``V = pi * [y^3/3 - y^2 + y] [0, 5]``V = pi * [(5^3/3 - 5^2 + 5) - (0)]``V = pi * [(125/3 - 25 + 5)]``V = pi * [100/3]`

Therefore, the volume `V` of the solid obtained by rotating the region bounded by the given curves about the x-axis is `V = (100/3) pi` (in cubic units).

To know more about curves visit:

brainly.com/question/30543089

#SPJ11

Answer:

7x + 8y = 16

Step-by-step explanation:

You need to get the slope of the given line.  

The line is in standard form ax + by = c

The slope = -a/b.  (That's a little formula you can use to find the slope when the line is in standard form)

In this problem,  m = - 7/8

Since the line we are trying to find is parallel, it has a slope of -7/8

Now use the point-slope form

y - (-12) = -7/8(x - 16)    Multiply thru by 8 to remove the fractions

8(y + 12) = -7(x - 16)

8y + 96 = - 7x + 112

7x + 8y = 16

The six trigonometric functions are mathematical functions used in geometry and trigonometry to describe the relationships between angles and sides of triangles.

The six trigonometric functions are:

Sine (sin): The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse of a right triangle.

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle.

Tangent (tan): The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side of a right triangle.

Cotangent (cot): The cotangent of an angle is the ratio of the length of the adjacent side to the length of the side opposite the angle of a right triangle.

Secant (sec): The secant of an angle is the reciprocal of the cosine of the angle, or the ratio of the hypotenuse to the adjacent side of a right triangle.

Cosecant (csc): The cosecant of an angle is the reciprocal of the sine of the angle, or the ratio of the hypotenuse to the opposite side of a right triangle.

The six trigonometric functions can be used to solve various problems in mathematics, physics, and engineering, among other fields.

To know more about trigonometric:

https://brainly.com/question/22986150

#SPJ4

Answer:

2/3, 7/10, 11/15 and 4/5

Step-by-step explanation:

2/3=0.66

7/10=0.7

11/15=0.73

4/5=0.8

Answer:

Think of sea level as 0 on a number line

-13 + 6 - 15

Step-by-step explanation:

Answer:

-13 + 6 - 16

Step-by-step explanation:

He starts at 13 beneath the surface, so 13 beneath 0 (-13). Then he rises up 6, so + 6. After that, he lowers 16 one last time, so subtract 16.

Answer:

5

Step-by-step explanation:

Perimeter of the rectangle: 3+7+3+7=20

Square perimeter is same as rectangle, so square perimeter is also 20.

Side length is 20/4, which is 5

Answer:

x=0

Step-by-step explanation:

evaluating Will give

102x=34x+24x then collect the like terms

44x=0

x=0

Answer: $36.45

Step-by-step explanation:

45(.25)=11.25

45-11.25=33.75

33.75(.08)=2.70

33.75+2.70=36.45

Answer:

To find the inverse, interchange the variables and solve for  y .

Step-by-step explanation:

f − 1 ( x ) = x /4 + 3

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

Learn more about the tangent arc theorem here:

https://brainly.com/question/29239907

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis.

This is because the p-value is greater than the significance level, indicating that there is not enough evidence to reject the null hypothesis. Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis. It is important to note that although the results are not statistically significant, they do not necessarily mean that the null hypothesis is true. The results only indicate that the data does not provide sufficient evidence to reject the null hypothesis at the given significance level. In practice, it is always advisable to consider other factors before drawing final conclusions.

To know more about hypothesis visit:

https://brainly.com/question/29519577

#SPJ11

Responder:

c = 15

Explicação passo a passo:

se -3 é a solução para a expressão x² - 7x - 2c = 0, para obter c, vamos substituir x = -3 na equação (uma vez que é uma raiz)

x² - 7x - 2c = 0

(-3) ² - 7 (-3) - 2c = 0

9 + 21 - 2c = 0

30 - 2c = 0

30 = 2c

Trocar

2c = 30

c = 30/2

c = 15

Portanto, o valor de c é 15

Answer:

a=2.5!

Step-by-step explanation:

Therefore, the number of commercials Lee saw last night is x + 20.

Last night, Lee watched TV for a long time because a movie marathon was on. He saw 20 more commercials than he did on the night he watched the most TV last week. Let the number of commercials Lee watched last week be x.

Now we have to determine the number of commercials Lee watched last night when he saw 20 more commercials than he did on the night he watched the most TV last week. If we let the number of commercials Lee watched last week be x, then the number of commercials Lee saw last night can be written as:

x + 20

The above expression is equivalent to 20 more commercials than the number of commercials Lee saw last week. Therefore, the answer is x + 20.

Now we can calculate the value of x by using the information provided in the question. If we subtract 20 from the number of commercials Lee saw last night, we should get the number of commercials he saw last week, that is:

x = (x + 20) - 20x

= x

Therefore, we can see that there is no unique solution for the number of commercials Lee saw last night. It all depends on the value of x, the number of commercials Lee watched last week. If we know this value, we can easily calculate the number of commercials Lee saw last night.

To know more about marathon visit:

https://brainly.com/question/19869274

#SPJ11

The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

More information about the arithmetic sequence here: https://brainly.com/question/27827155

#SPJ11

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

Answer:

The right analytical model for the profits of the company for any given year n, (pₙ) is that of a geometric series and it is given as

pₙ = 3000 (3ⁿ⁻¹)

Step-by-step explanation:

Concluding part of the question

In year one, a company earned $3,000 in profits; in year two they earned $9,000 in profits. In year 3 they earned $27,000 in profits and in year 4 they earned $81,000. Which analytical model illustrates this profit pattern?

Solution

From the pattern of the profits, it is evident that the profits follow a geometric series' pattern with the first term equal to the profits in the first year, $3000, the profit in the second year is the second term and so on.

First term = a = Profits in the first year = 3000

Second term = a₂ = Profits in the second year = 9000

Third term = a₃ = Profits in the third year = 27000

Fourth term = a₄ = Profits in the fourth year = 81000

The general formula for any term of a geometric series is

aₙ = arⁿ⁻¹

a = first term

r = common ratio

But for a geometric series, common ratio is given as the next term divided by the very previous term.

r = (aₙ/aₙ₋₁)

For this question,

r = (9000/3000) = (27000/9000) = (81000/27000) = 3

So, the right model for the profits for any given year n is

pₙ = 3000 × 3ⁿ⁻¹

pₙ = 3000 (3ⁿ⁻¹)

Hope this Helps!!!

in Dallas, Texas to be classified as extremely wet, the amount of precipitation that must fall is approximately 4.74 inches.

To find the amount of precipitation that must fall in April for it to be classified as extremely wet, we need to find the z-score that corresponds to the upper 5% of the normal distribution.

Using a standard normal distribution table, we can find that the z-score corresponding to the upper 5% is approximately 1.645.

Now we can use the formula z = (x - μ) / σ, where z is the z-score, x is the amount of precipitation, μ is the mean (3.2 inches), and σ is the standard deviation (0.9 inches).

Plugging in the values, we get:

1.645 = (x - 3.2) / 0.9

Solving for x, we get:

x = 3.2 + 1.645 * 0.9

x = 4.7425

Therefore, for April in Dallas, Texas to be classified as extremely wet, the amount of precipitation that must fall is approximately 4.74 inches.
To determine the amount of precipitation required for April to be classified as extremely wet in Dallas, Texas, we need to find the value at the 95th percentile of the normal distribution, since the upper 5% corresponds to extremely wet conditions. The average precipitation is 3.2 inches, and the standard deviation is 0.9 inches.

Learn more about standard deviation here: brainly.com/question/23907081

#SPJ11

Answer:

324.27

Step-by-step explanation:

3,891.24/12=324.27

Answer:

x=5 done easy answer,,,,,

We can see here that the division expression that is shown in the model is: A. 3 ÷ 2/5

Division is a mathematical operation that involves splitting a number into equal parts. It is the inverse of multiplication, and can be represented as the division symbol "/" or "÷". The result of division is called a quotient.

Division in mathematics is an arithmetic operation that separates a quantity into equal parts or groups. Division can also be expressed as a fraction or ratio, where the numerator represents the dividend and the denominator represents the divisor.

We see here that:

3  ÷ 2/5 = 3/1 x 5/2 = 15/2

∴ 15/2 = 7.5.

We can see here that the shaped boxes in the diagram are 7 that were fully shaded. The last box was shaped half. This actually shows it is 7.5.

Learn more about division on https://brainly.com/question/29347810

#SPJ1

Answer:

-15

Step-by-step explanation:

4.1.60 - (15) + (-13) = 32

4.2. -2(3) + 27 ÷ (-3) = -2(3) - 9 = -15

The sum of two numbers is 18.

Let greater number be x and lesser number be y.

It is given that two times the greater number equals the sum of 4 times the lesser number and 6

Hence the correct option is b.