what is the degree of the polynomial?​

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

Step-by-step explanation:

The formula for the lateral area of a right cone is :

LA = rs

Where

r is the radius of the base and s is the slant height of the cone

Equivalent expression,

[tex]r=\dfrac{LA}{s}[/tex]

or

[tex]s=\dfrac{LA}{r}[/tex]

Hence, this is the required solution.

Answer:

The answers are C & E

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

Answer:

$1.62

Step-by-step explanation:

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

Answer:

Step-by-step explanation:Let's solve for c.

x2+10x+c=−3+c

Step 1: Add -c to both sides.

x2+c+10x+−c=c−3+−c

x2+10x=−3

Step 2: Add -x^2 to both sides.

x2+10x+−x2=−3+−x2

10x=−x2−3

Step 3: Add -10x to both sides.

10x+−10x=−x2−3+−10x

0=−x2−10x−3

Step 4: Divide both sides by 0.

0

0

=

−x2−10x−3

0

c=

−x2−10x−3

0

Answer:

c=

−x2−10x−3/0

hope it helps :D

Answer:

4.383

Step-by-step explanation:

Pythagoras

a² + b² = c²

with c being the baseline of the rectangular triangle (the line opposite to the 90 degree angle).

so, in our example here c=6.5cm, a=QR, b=4.8cm

a² = c² - b² = 6.5² - 4.8² = 19.21

a = sqrt(19.21) = 4.383

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

Answer:

2/25

Step-by-step explanation:

[tex]n^3 = \frac{8}{125}[/tex]

[tex]n^3 = (\frac{2}{5})^3[/tex]

[tex]n = \sqrt[3]{n^3} = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \frac{2}{25}[/tex]

Answer:

x+3y -10 =0

Step-by-step explanation:

In slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/3x +10/3

We want it in the general form  ax+by +c =0  where a,b,c are integers and a>0

Multiply by 3 on each side

3*y = 3(-1/3x +10/3)

3y = -x +10

Add x to each side

x+3y = -x+10 +x

x+3y = 10

Subtract 10 from each side

x+3y -10 = 10-10

x+3y -10 =0

The slope of a line is [tex] - \frac{1}{3} [/tex] and the y-intercept is [tex] \frac{10}{3} [/tex]. What is the equation of the line written in general form?

○ 10x + 3y - 1 = 0

○ x + 3y + 10 = 0

○ x + 3y - 10 = 0

[tex] \quad \quad\quad\quad\boxed{\tt{y = mx + b}}[/tex]

[tex]\quad \quad\quad\quad\boxed{\tt{Slope (m) = \frac{1}{3} }}[/tex]

[tex]\quad \quad\quad\quad\boxed{\tt{y \: intercept(b) = \frac{10}{3} }}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{y = - \frac{ 1}{3}x + \frac{10}{3} }}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{ax + by + c = 0}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{ (3)y = 3(- \frac{ 1}{3}x + \frac{10}{3} )}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{ 3y = \cancel{ \color{red}3}(- \frac{ 1}{ \cancel{ \color{red}3}}x + \frac{10}{ \cancel{ \color{red}3}} )}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{3y = - x + 10}}[/tex]

[tex] \quad\quad\quad\boxed{\tt{3y = - x + 10}} \: ➡ \: \boxed{\tt{x + 3y = 10}}[/tex]

[tex] \quad\quad\quad \boxed{\tt{x + 3y = 10}} \: ➡ \: \boxed{ \tt{x + 3y - 10 = 0}}[/tex]

[tex]\quad \quad\quad\quad \boxed{ \color{green}{ \tt{x + 3y - 10 = 0}}}[/tex]

_________

#LetsStudy

Answer:

333831

Step-by-step explanation:

Answer:

10^7 is 10,000,000

3 x 10^3 is 3000

Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000

& you’ll get 3333.3

Step-by-step explanation:

Answer:

Volumen A = 30000 cm³

Volumen B = 35000 cm³

Volumen C = 72000 cm³

Step-by-step explanation:

a) Volumen A

Largo = 50 cm, Ancho = 30 cm Alto = 20 cm

Volumen = Largo × Ancho × Alto

= 50 cm × 30 cm × 20 cm

= 30000 cm³

b) Volumen B

Largo = 35 cm, Ancho = 20 cm Alto = 50 cm

Volumen = Largo × Ancho × Alto

= 35 cm × 20 cm × 50 cm

= 35000 cm³

c) Volumen C

Largo = 40 cm, Ancho = 60 cm Alto = 30 cm

Volumen = Largo × Ancho × Alto

= 40 cm × 60 cm × 30 cm

= 72000 cm³

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4

[tex] - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}[/tex]

[tex]I \: hope \: it \: will \: help \: you[/tex]

Answer:125

Step-by-step explanation:

Answer:

[tex](f-g)(x)=-4x^2+10x[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]

Distribute:

[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]

Rearrange:

[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]

Combine like terms. Hence:

[tex](f-g)(x)=-4x^2+10x[/tex]

Answer:

35.333333333...%

Step-by-step explanation:

954/2700 = 35.33333333333333...%

You could use a calculator to solve these types of problems, but I'm not saying you should use one for every single problem.

Anyway, hope this helps.

Answer:

Ascending order

Step-by-step explanation:

Ascending numbers are numbers that begin from smallest to biggest.

Step-by-step explanation:

hakdogg happyly ever after

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

Answer:

5/24.

Step-by-step explanation:

2/6 of 5/8 were beginners and girls

= 1/3 * 5/8

= 5/24.

Answer:

68°

Step-by-step explanation:

If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°

Answer:

68°

Step-by-step explanation:

Since angles B and D are opposite each other, they are supplementary.

Answer:

the maximum amount that something can contain. hope this helps :)

Step-by-step explanation:

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Distance from A to B = B-A = 18-0 = 18

M is the midpoint which means it is equal distance between A and B

M = distance between A and B divided by 2:

M = 18/2 = 9

Answer: M = 9

Answer:

9

Step-by-step explanation:

If m is a midpoint of AB

then

M = 1/2AB

If AB = 18

Then M = 1/2 of 18

18/2 = 9

Hence M = 9