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Write a sentence that accurately describes the type of discontinues of r(x) and at what values of x the discontinues occur.

There will be no change in the price of the car.

A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the sticker price = x, Price reduced by $300

Hence the new price is,

N= x-$300

The cost of additional features = $900

Hence the new price for selling will be.

=x-$300+$900

=x+$600

Dealer also provides a discount of $600

Hence Final  selling price will be

=x+$600-$600

Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.

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90 people

We are told that;

Total number of seats = 10

Number of people in each seat  = 2 Total duration of the Ferris wheel  = 30 minutes

Number of people to ride for the first 15 minutes = 15 × 2 = 30 people

This means that 2 seats will pass per minute and thus;

Number of people to ride for 15 minutes at this double speed = 15 × 2(2) = 60

2(2) was used because a seat can take 2 people.

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Answer:

Term is something that is being added together. Factor is something that is being multiplied together. Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together.

Step-by-step explanation:

The required  derivative of \(f(x) = \frac{2x^3 - 1}{x}$\) is \($f'(x) = 4x + \frac{1}{x^2}$\).

A technique for determining a function's derivative is differentiation. Mathematicians use a method called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

The function \(f(x) = \frac{2x^3 - 1}{x}$\) can be written as \(f(x) = 2x^2 - \frac{1}{x}$\).

The derivative of f(x) can be found using the power rule and the derivative of 1/x, which is\(-\frac{1}{x^2}$\).

Therefore, we have:

\($f'(x) = 4x + \frac{1}{x^2}$$\)

So the derivative of \(f(x) = \frac{2x^3 - 1}{x}$\) is \($f'(x) = 4x + \frac{1}{x^2}$\).

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Complete question:

Find the derivative of the following, using differentiation from first principles. f(x) = 2x²-1/x​.

Answer:

The answer is 49.277. Hope this helped :)

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

(24/-3)-1

-8-1

-9

Answer:

Step-by-step explanation:

its -27

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Answer:

600

Step-by-step explanation:

Answer:

It's 600.

Step-by-step explanation:

36-6=30

30 x 20 = 600

Have a great day!

Answer:

√193

Step-by-step explanation:

pathagorus theorem:

\(( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} \)

hyp=x , base= 12 , perp= 7

subtitles all values in formula:

we get

x^2 = 12^2 + 7^2

x^2 = 144 +49

x= √193

The missing side of this right triangle is, 13.90 units.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The base of the triangle = 12

The perpendicular distance of the triangle = 7

Now, We know that;

Pythagoras theorem stated as;

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ x² = 12² + 7²

⇒ x² = 144 + 49

⇒ x² = 193

⇒ x = √193

⇒ x = 13.90

Thus, The missing side of this right triangle is, 13.90 units.

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The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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Answer:

rffrefr

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

19 × 10 =190

if you multiply it it will be ten times larger

Answer:

190

Step-by-step explanation:

The wavelength in meters of electromagnetic radiation that has a frequency \(2.5\) × \(10^{5}\)  .

The wavelength in meters of electromagnetic radiation that has a frequency of \(1.82\) ×\(10^{8}\) s-1¹. (c = 3.00 X \(10^{8}\) m/s) k C #C [] CA 9 %​

The frequency f of electromagnetic waves, or, equivalently, the wavelength c/f, is used to classify them.

The characteristics of electromagnetic radiation include amplitude (brightness), wavelength, frequency, and period. We have shown that the frequency of a light wave is related to its energy by the equation E = h v E=hnu E=h.

v=1.210 3 Hz and

e=310 8 m/s equal v and e, respectively.

3×\(10^{8}\)

λ = 2.5 ×\(10^{5}\).

The wavelength in meters of electromagnetic radiation that has a frequency 2.5 × \(10^{5}\).

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To begin, you must plug all the values you have into a formula, and also putting them in the right form.

The formula for the volume of a cylinder is: πr²h

FINDING RADIUS: With this in mind, now we know that, our diameter must be converted to a radius. To do this, you divide your diameter by two. This gives you, 4 as your radius.

FINDING HEIGHT: In the question you sent, you can tell they've given you, your height, so all you need to do is plug it into the equation.

PLUGGING IT IN:

Your pi, stays the same when using a calculator, just press your pi symbol depending on the calculator you are using. Your radius is 4, therefore it wants you to square it, which is 4x4, which equals 16. Next, you want to multiply it by the height, so just multiply it with your height, 5.5

YOUR ANSWER:

276.46m

1) Since the Perimeter (2P) is the sum of all sides of a rectangle. And this rectangle has 526m w and 78 m. And also, a rectangle is a parallelogram that has the property of having a pair of congruent sides. Then

2) Then we can state:

2p = 526 +526+78+78

2p =1052+156

2p= 1208 meters

Answer:

a, d, f

Step-by-step explanation:

Answer:

A d and f

Step-by-step explanation:

I just did it

Answer:

3:7

Step-by-step explanation:

We know that there are 4 girls and 3 boys and 4+3=7.

The relationship between Sam’s age and Matt’s age is given as x = y + 5

An equation is an expression that can be used to show the relationship between numbers and variables.

The equation of a line in slope intercept form is:

y = mx + b

Where m is the slope and b is the y intercept

Let x represent Sam’s age and y represent Matt’s age. Sam is 5 years older than Matt, hence:

x = y + 5

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Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

Area of a sector of a circle = ∅/360 × πr²

Length of arc = ∅/360 × 2πr

Given the following:

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

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Answer:

607 students

Step-by-step explanation:

To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.

Now, let's find the number of boxes and objects:

If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.

Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,

The number of students would have to be = 101 + 1 = 102 students

Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.

Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607

The only automorphism of a well-ordered set is the identity.

To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.

Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.

Let f: W → W be an automorphism of the set.

We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.

Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.

Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.

Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.

Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.

Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.

Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.

By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.

However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.

Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.

Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.

Hence, the only automorphism of a well-ordered set is the identity function.

Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.

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Answer:

Step-by-step explanation: Let the unknown no be x

1.

\(\frac{1}{3}\times x +27\\\\\frac{1}{3} x +27\)

2.

\(x^2 \times 4\\\\= 4x^2\)

3. The sum of the product and of 5 and a cubed number and 9

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

Hence Proved.

The correct option on Hash 1 and Hash 2 is C. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.

The main difference between Hash 1 and Hash 2 is the amount of input data they can process. Hash 1 can process input data that is 2 characters long, while Hash 2 can handle input data that is up to 300,000 characters long. This means that Hash 2 is better suited for processing larger datasets than Hash 1.

In terms of which hash function is better suited for different types of data, it depends on the specific application and the characteristics of the data being processed. For example, if the data being hashed is small and of low complexity, Hash 1 may be a good choice due to its speed and simplicity.

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The options for this question include:

Answer:

B. (2,1)

Step-by-step explanation:

Substitute the first value from the parentheses for x, and the second value for y in the equation.

Calculate.

If the answer is true, the point is a solution on the line.

3(2) -5(1) = 1

6 –5 = 1

1 = 1. True. point B is a solution on the line.

D* for example:

3(2) -5(3) = 1

6 - 15 = 1

–9 = 1 False. This is not a solution on the line.

You get the idea. The others are also false.