The sum of the EXTERIOR angles of a pentagon equals 360°.
True
False

The number of turning points if n is odd if A polynomial function P(x) has a degree n, is even.

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.

Given:

A polynomial function P(x) has a degree n,

A turning point is when the derivative's sign changes. A relative maximum or relative minimum might mark a turning point (also known as local minimum and maximum). A turning point is a stationary point if the function is differentiable, however not all stationary points are turning points.

For example, if the degree is 2 then the number of turning points will be 1

The general formula is, the number of turning points = n - 1

Thus, for odd n, the turning point will be even.

To know more about polynomials:

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The value of x is 70 degrees. This is obtained by solving the equation formed from the definition of complementary angles (the sum of the angles is 90 degrees).

In mathematics, two angles are said to be complementary if the sum of their measures is 90 degrees. In this case, the two angles in question have measures of 15 degrees and (x+5) degrees. Therefore, we can create an equation by adding the two measures and setting the sum equal to 90.

So, 15 + (x+5) = 90.

Solving for x, we first combine like terms, yielding x + 20 = 90. Then we simply subtract 20 from both sides of the equation to obtain the value for x. So, x = 90 - 20 = 70 degrees.

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Answer: 3.200 x 10^7h

Step-by-step explanation:

Correct answer on K12

Answer:

-4

16

2

16

Step-by-step explanation:

got it right.

To solve a physics problem, make a list of known variables, solve the equation for the unknown, substitute known values with correct units into the equation, and check if the solution is reasonable.

Steps to Solve a Physics Problem

When attempting to solve a physics problem, it is essential to follow a structured approach to reach a solution successfully. Here is a step-by-step method to guide you:

Some problems may require several steps or the use of multiple equations to find the solution. Always keep in mind the physical principles to guide your problem-solving process.

Answer:

300 meters

Step-by-step explanation:

The altitude divides the equilateral triangle into two congruent 30-60-90 triangles. The altitude is the long leg whose length is

300

 meters.

Answer:

c=6 and d=2 makes the equation true

Step-by-step explanation:

[tex]\sqrt[3]{162x^cy^5} = 3x^2y(\sqrt[3]{6y^d})[/tex]

plug in c=2  and check

[tex]\sqrt[3]{162x^2y^5}[/tex]

We cannot simplify cuberoot (x^2)

So c=2 does not works

Lets try with c=6 and d=2

[tex]\sqrt[3]{162x^6y^5}[/tex]

Cuberoot(x^6) = x^2

cuberoot (y^5)= ycuberoot (y^2)

[tex]\sqrt[3]{162x^6y^5} = 3x^2y(\sqrt[3]{6y^2})[/tex]

So c=6 and d=2 makes the equation true

To factor the quadratic x^2 + 3x + 2, it can be written as (x + 1)(x + 2). The concept of infinity over infinity (∞/∞) is an indeterminate form in limits and usually requires further techniques to evaluate.

To factor x^2 + 3x + 2, you want to find two numbers that both add up to +3 (the coefficient of x) and multiply to +2 (the constant term). These numbers are +1 and +2. Thus, you can express the quadratic equation as a product of two binomials:

x^2 + 3x + 2 = (x + 1)(x + 2).

As for the concept of limits like ∞/∞, it commonly arises when evaluating the behavior of functions as the variable approaches infinity. It represents an indeterminate form which requires further algebraic manipulation or techniques such as L'Hôpital's rule to find a meaningful limit.

Answer:

Obtuse and Isosceles

:) Apex

The triangle in the image can be classified as follows:

The correct options will be

Right [ F] : One of the angles is 90 degrees.

Isosceles [ D]: Two of the sides are equal (the two shorter sides).

We can see from the triangle that two of the angles measure 41 degrees each and the third angle is 98 degrees. The sum of the angles in a triangle is 180 degrees, and since 41 + 41 + 98 = 180, we know that the triangle is valid.

Right triangles can also be isosceles (in fact, there is a specific type of right triangle called a 45-45-90 triangle). So, this triangle qualifies for both classifications.

The triangle cannot be classified as:

Acute [ B]: Acute triangles have all angles less than 90 degrees.

Obtuse [ A]: Obtuse triangles have one angle greater than 90 degrees.

Equilateral [ E]: Equilateral triangles have all three sides equal.

The complete question is: Classify the following triangle.Check all that apply.

Answer: L greater than 31

Step-by-step explanation:

Trevor is swimming laps to raise at over 100 dollars for the local food bank. He earns $1.85 per lap and has already swum 23 laps.

This means that the total amount that he has raised is number of laps that he has swum × the amount he earns per lap. Therefore,

Amount that he has already raised

= 1.85 × 23 = $42.55

100 - 42.55 = 57.45

He still needs to raise an amount greater than $57.45

To raise this amount, he needs to swim more laps. Number of laps that he needs to swim will be

57.45/1.85 = 31.05

Approximately 31 laps

Let the number of laps that he needs to swim be L

The inequality to show how many more laps Trevor needs to swim in order to raise more than $100 will be

L greater than 31

The answer would be B, which, in other words, would also be 5/8, 3/4, 7/9.

The two numbers are 16 and 33. They satisfy the conditions that their sum is 49 and their product is 544, as verified by setting up and solving a system of equations.

To find two numbers whose sum is 49 and whose product is 544, we can set up a system of equations based on the information given. Let's call the two numbers x and y. So, we have two equations:

By solving these equations simultaneously, we can find the values of x and y.

The easiest way to solve this might be to express y in terms of x from the first equation: y = 49 - x. Then, substitute this into the second equation:

x(49 - x) = 544

This simplifies to a quadratic equation:

x^2 - 49x + 544 = 0

Factoring this quadratic equation, we get:

(x - 16)(x - 33) = 0

Which gives us two possible values for x:

Plugging these back into the equation for y, we get:

So the two numbers are 16 and 33.

Helga enrolled in anger management classes to control her temper, realizing it affected others and herself negatively, hoping to improve her witchcraft and life.

Helga the witch signed up for anger management classes because her temper was causing issues not just for others, but also for herself. Constantly flying off the handle and hexing everything in sight led to her feeling isolated and out of control. Plus, her cottage was starting to look like a scene from a horror movie, with all the shattered potion bottles and singed curtains. She realized that mastering her emotions would not only make her a better witch but also improve her quality of life. So, begrudgingly, she enrolled in the classes, hoping to learn some magical techniques for keeping her cool.

Answer:

80%

Step-by-step explanation:

If 60% of the class passed the second exam and only 48% passed the first your solution would have to be of the 48%. Therefore 0.48/0.60=0.8/1.0=80%

Answer: 0.7

Step-by-step explanation: 1-0.3 = 0.7

Final answer:

Advanced calculus covers computational aspects and applications of calculus in multiple dimensions, while real analysis focuses on the theoretical fundamentals, such as rigorous development of the real number system and proof-based examination of limits and continuity.

Explanation:

The difference between advanced calculus and real analysis lies in the focus and depth of the subjects. Advanced calculus, also known as calculus III in some curricula, typically extends the study of calculus to multiple dimensions, covering topics such as partial derivatives, multiple integrals, and vector calculus. It focuses more on the computational aspects and applications of calculus.

Real analysis, on the other hand, delves deeper into the theoretical underpinnings of calculus and analysis. It deals with the rigorous development of the real number system, sequences and series, continuity, differentiation, integration, and convergence. Real analysis puts a strong emphasis on proof and logical reasoning, providing a foundation for the truth and logic behind the mathematics used in calculus.

While both subjects are mathematically advanced, real analysis is considered to be more abstract and is often a stepping stone for further study in pure mathematics. Familiarity with calculus is often a prerequisite before studying real analysis as it lays the groundwork for the more complex theoretical concepts.

Answer:

y=4

Step-by-step explanation: