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3 years ago

Which inequality has a solid boundary line when graphed?

2 answers:

6 0

When you graph these inequalities, the last one, D, has a solid line. in the solution set, it includes the points on the line. This is because it has the ≥ symbol, rather than the > symbol. The answer is D.

CaHeK987 [17]3 years ago

4 0

I think the answer to your question is... D.

You might be interested in

What kind of problem do we need to use “indefinite integral” to solve? Use a real life example to explain.

anastassius [24]

Answer:

Indefinite integration acts as a tool to solve many physical problems.

There are many type of problems that require an indefinite integral to solve.

Basically indefinite integration is required when we deal with quantities that vary spatially or temporally.

As an example consider the following example:

Suppose that we need to calculate the total force on a object placed in a non- uniform field.

As an example let us consider a rod of length L that posses an charge 'q' per meter length and suppose that we place it in a non uniform electric field which is given by

$E(x)=\frac{E_{o}}{e^{kx}}$

Now in order to find the total force on the rod we cannot use the similar procedure as we can see that the force on the rod varies with the position of the rod.

But if w consider an element 'dx' of the rod at a distance 'x' from the origin the force on this element will be given by

$dF=E(x)\times qdx\\\\dF=\frac{qE_{o}}{e^{kx}}dx$

Now to find the whole force on the rod we need to sum this quantity over the whole length of the rod requiring integration, as shown

$\int dF=\int \frac{qE_{o}}{e^{kx}}dx$

Similarly there are numerous problems considering motion of particles that require applications of indefinite integration.

4 0

3 years ago

(x^3+10x^2+2)/(x+10)

SCORPION-xisa [38]

The quotient is x^2

The remainder is 2

Step-by-step explanation:

We need to divide: $\frac{\left(x^3+10x^2+2\right)}{x+10}$

The division is shown in figure attached.

The quotient is x^2

The remainder is 2

Keywords: Division of polynomials

Learn more about Division of polynomials at:

#learnwithBrainly

8 0

3 years ago

What is the surface area of the right prism given below?

posledela

Answer: Option D.

Step-by-step explanation:

You can calculate the surface area of this right prism by adding the area of its faces.

You can observe that the faces of the right prism are: Three different rectangles and two equal triangles.

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

The formula for calculate the area of a triangle is:

$A=\frac{bh}{2}$

Where "b" is the base and "h" is the height.

You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:

$a=\sqrt{b^2+c^2}$

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

Then, this is:

$a=\sqrt{(8units)^2+(15units)^2}=17units$

Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:

$SA=(10units)(8units)+(15units)(10units)+(17units)(10units)+2(\frac{(15units)(8units)}{2})\\\\SA=520units^2$

5 0

3 years ago

Read 2 more answers

how many ways are there to adjust two quantities so that they are in a given proportional relationship? Explain your reasoning.

dolphi86 [110]

The question is, "how many ways ...".

There are as many ways to solve a math problem as you can think of. (Some are shorter or easier than others.)

Essentially, an infinite number.

7 0

4 years ago

Using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ

Nimfa-mama [501]

Answer:

In year 2030 the population is predicted to be 71.75 million

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Using data from 2010 and projected to 2020, the population of

the United Kingdom (y, in millions) can be approximated by the

equation 10.0 y − 4.55 x = 581

- x is the number of years after 2000

- We need to know in what year the population is predicted to be

71.75 million

* <em>Lets substitute the value of y in the equation by 71,75</em>

∵ The equation of the population is 10.0 y - 4.55 x = 581

∵ y = 71.75

∴ 10.0(71.75) - 4.55 x = 581

∴ 717.5 - 4.55 x = 581

- Subtract 717.5 from both sides

∴ - 4.55 x = - 136.5

- Divide both sides by - 4.55

∴ x = 30

∵ x represents the number of years after 2000

∵ 2000 + 30 = 2030

∴ In year 2030 the population is predicted to be 71.75 million

6 0

4 years ago