Part A: Which polynomial below is a fourth-degree polynomial in standard form? Explain how you know it is a fourth-degree polynomial and how do you know it’s in standard form.

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Part B: Explain the closure property as it relates to polynomials and give an example.

Answer:

Step-by-step explanation:

[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]

Critical Point Definition:

Find where [tex]f'(x)[/tex] is equal to zero or undefined

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Identify critical points not in [tex]f(x)[/tex] domain

Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]

All critical points are in domain

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Answer:

t (based on the information you have given)

Step-by-step explanation:

d is dependent on the equation and 43 will probably change

Answer:

43

Step-by-step explanation:

In the expression d = 43t, two variables are visible. One represents constants and the other represents the dependent variable. X is often used to represent the independent variable which is the one that is always manipulated ( I CHANGE ). The 43 represents the variable that is always changing and being manipulated. 43 represents X as it is the representing the manipulated variable.

Answer:

5

___    

y+5

Step-by-step explanation:

first

---->         3y                    2(y+5)

       ---------------------- +   ----------

         (y+2)(y+5)              (y+2)(y+5)  

then

---->   3y+2(y+5)

          ------------

          (y+2)(y+5)

then

---->  3y+2y+10

       ----------

        (y+2)(y+5)

then

-----> 5(y+2)

        ---------

        (y+2)(y+5)

then

-----> 5

     -------

       y+5

Answer:

QR = 5.9

Step-by-step explanation:

QR = √(RP^2 - QP^2)

QR = √((7.6)^2 - (4.8)^2) = √(57.76 - 23.04) = √34.72 ≈ 5.9

Answer:

y = -4

Step-by-step explanation:

8 = 3y - 12 - 8y

Combine like terms

8 = -5y -12

Add 12 to each side

8+12 - 5y-12+12

20 = -5y

Divide each side by -5

20/-5 = -5y/-5

-4 =y

Answer:

24.49 units

Step-by-step explanation:

It si NOT a right triangle, so you'll have to use law of sines

angle C = 180 - 45-75 = 60 degrees

30 / sin60 =  AC / sin 45

AC = 30 * sin 45 / sin 60 = 24.49 units

Answer:

rounded = 170 in^3 and 2nd question =2.772 in^3

Step-by-step explanation:

h: 12 1/8 = 12.125

w: 1 3/4 = 1.75

l: 8

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

h*w*l = 169.75 in^3

rounded = 170 in^3

oh there's another.. wait

same with this question

.----------------------------------

h*w*l

10.5 * 12 * 22 = 2.772 in^3

Answer:

x = 5

Step-by-step explanation:

Volume of Rectangular Prism: Volume = Length*Width*Height

300 = x * x * 12

300 = x^2 * 12

25 = x^2

x = 5

Answer:

The distance between the points (2, 7) and (2, 15) is 8.

Step-by-step explanation:

What is the Distance between Two Points?

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

How to Solve:

Putting Values:

[tex]=\sqrt{(2-2)^2+(15-7)^2}[/tex]

[tex]=\sqrt{(0)^2+(8)^2}[/tex]

[tex]=\sqrt{0+64}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40

The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.

It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.

Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.

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Answer:

[tex]38.47 {m}^{2} [/tex]

Step-by-step explanation:

The formula to find the area of a circle is

[tex] a= \pi {r}^{2} [/tex]

We know that

[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]

Therefore the area is

[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]

Answer:

8

Step-by-step explanation:

To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.

Answer:

8

(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)

https://www.flocabulary.com/unit/gcf-lcm/

[tex] \Large{\boxed{\sf x = 14}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf x + 14 = 28 [/tex]

[tex] \\ [/tex]

Subtract 14 from both sides :

[tex] \sf x + 14 - 14 = 28 - 14 \\ \\ \\ \boxed{\boxed{\sf x = 14}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

x = 9

Angle B = 40°

Step-by-step explanation:

Angle A = Angle B

[tex]5x-5=3x+13[/tex]

[tex]5x-3x=13+5[/tex]

[tex]2x=18[/tex]

[tex]x=18/2=9[/tex]

Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°

Hope this helps

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -4}{2(1)}~~~~ ,~~~~ 2-\cfrac{ (-4)^2}{4(1)}\right)\implies (2~~,~~2-4)\implies (2~~,~~-2)[/tex]

Answer:

46.6

Step-by-step explanation:

[tex] {x}^{2} = {33}^{2} + {33}^{2} \\ x = \sqrt{2178} \\ x = 46.6 \: cm[/tex]

Answer:

Always

Step-by-step explanation:

[tex]ax^{2} + bx + c = 0[/tex]

Answer:

He bought 32 sketchbooks

Step-by-step explanation:

E equals 32

Answer:

17

Step-by-step explanation:

We know:

The total bill was $241

The paint sets cost $105

Each sketchbook is $8

First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.

241-105=136

Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.

136/8=17

Therefore, Mr. Benito bought 17 sketchbooks.

The number of the standard versions downloaded will be 2790 standard versions.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

A Web music store offers two versions of a popular song.

The size of the standard version is 2.1 megabytes (MB).

The size of the high-quality version is 4.9 MB.

Yesterday, the high-quality version was downloaded four times as often as the standard version.

The total size downloaded for the two versions was 5859 MB.

Then the number of the standard versions were downloaded will be

→ 5859 / 2.1

→ 2790 standard versions

More about the division link is given below.

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Answer:

For this case we have the following polynomial.

We note that the polynomial graph cuts only the vertical axis at one point.

The graph has no other cut points on the x axis

Therefore, the polynomial has:

6 complex solutions

0 real solution

Step-by-step explanation:

the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).

Answer:

7.85

Step-by-step explanation:

Arc Length Formula

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})[/tex],
where r is radius.

Given information:

m<JKL = 30°

JK = r = 15 units

Substitute in equation and solve.

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) (\frac{30^\circ}{360^\circ})\\\text{arc length} = \frac{5}{2} \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The population P will increase by a factor of 1.32 each year.

The function is

P = 415(1.32)^t  where t is the time in years.

After 5 years:

P = 415(1.32)^5  = 1663.

Answer:

from what i got it is 65% have terriers

Step-by-step explanation:

13 / 20 = 0.65 meaning there is 65%

Hope This Helped

Answer:

20 New professors

Step-by-step explanation:The current ratio is 1200%2F80 = 15.

The new ratio/proportion should be %281500%29%2Fx = 15.

From here, find x = 1500%2F15 = 100 professors.

They must hire 100-80 = 20 new professors.

Answer: N=40

r=4

Step-by-step explanation:

We use the notation

�

P

�

nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select

�

rr objects without replacement from a set of

�

nn distinct objects.

In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?

Hint #22 / 3

The student government is electing

4

44 of its

40

4040 members to fill the positions of president, vice president, secretary, and treasurer. So

�

nn should be

40

4040 and

�

rr should be

4

44.

Hint #33 / 3

These are the appropriate values of

�

nn and

�

rr:

�

=

40

�

=

4

n

r

​

=40

=4

​

Answer:

  x = 3°

Step-by-step explanation:

The external angle where secants/tangents meet is half the difference of the intercepted arcs.

__

Here, that means ...

  18x = (1/2)(194° -86°)

  18x = 1/2(108°) = 54° . . . . . simplify

  x = 3° . . . . . . divide by 18

Step-by-step explanation:

x=36/12

x=2

12x = 36

x = 36÷12

x = 3

Hope it helps......

The statement first “the class boundaries would change" is the correct.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analysing it even further.

We have:

A statistics student had excluded three outlier values when constructing a histogram of a frequency distribution.

As we know, the statistics described as the procedure of collecting data, classifying.

And from the given data we can conclude the class boundaries would change.

Thus, the statement first "the class boundaries would change" is the correct.

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Answer:

O The shape of the histogram changes

Step-by-step explanation:

There is no guarantee that the outliers are larger or less than the pre-existing class boundaries. Therefore the only thing we can be sure will happen is that the shape of the histogram will change given that any addition or subtraction of variables contributes to the shape regardless.

Answer:

wait who you again have we met before wait what

Step-by-step explanation:

I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys