Median of 40,2,31,15,29,16 and X is 21. then X= ?​

Answer:

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Step-by-step explanation:

A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:

[tex](y+10)\cdot y = n[/tex]

[tex]y^{2}+10\cdot y = n[/tex]

[tex]y^{2}+10\cdot y - n = 0[/tex] (1)

We obtain the roots of this second order polynomial by means of the Quadratic Formula:

[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]

[tex]y = -5\pm \sqrt{25+n}[/tex] (2)

Given that [tex]y > 0[/tex], we must observe the following inequation:

[tex]-5\pm \sqrt{25+n}>0[/tex] (3)

[tex]\sqrt{25+n} > 5[/tex]

[tex]25 + n > 25[/tex]

[tex]n > 0[/tex]

Let is find the values of x and y by iterative means:

x = 11, y = 1

[tex](11)\cdot (1) = 11[/tex]

11 is not a composite number, but a prime number.

x = 12, y = 2

[tex](12)\cdot (2) = 24[/tex]

24 is a composite number, which contains the following product of prime numbers:

[tex]2^{3}\cdot 3 = 24[/tex]

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Answer:

53 degrees

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

180-127=53

Answer:

I wish you the best dont let people brign you down sending love

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

RST is an isosceles triangle.

[tex]m\angle T = m \angle R\\\\

8x\degree = (3x + 50)\degree \\\\

8x = 3x + 50\\\\

8x - 3x = 50\\\|

5x = 50\\\\

x = \frac{50}{5} \\ \\ x = 10[/tex]

Answer:

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Step-by-step explanation:

Given

VA; [tex]x = 2[/tex]

SLA: [tex]y = 5x - 1[/tex]

Zero of function: [tex](-1,0)[/tex]

Required

Determine the rational function in expanded form

Analyzing the vertical asymptote

The vertical asymptote is given as:

[tex]x = 2[/tex]

Subtract 2 from both sides

[tex]x - 2 = 2 - 2[/tex]

[tex]x - 2 = 0[/tex]

This means that the denominator must be [tex]x - 2[/tex]

Analyzing the zero of the function

The zero of the function is given as: [tex](-1,0)[/tex]

This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]

Equate [tex]x = -1[/tex] to 0 by add 1 to both sides

[tex]x + 1 =- 1 + 1[/tex]

[tex]x + 1 =0[/tex]

This means that one of the numerators must be [tex]x + 1[/tex]

Analyzing the slant asymptote:

[tex]y = 5x - 1[/tex]

This means that one of the numerators must be [tex]5x - 1[/tex]

Hence, the function is:

[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]

Expand the numerator

[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Answer:

E(-9)≈3.4936

Step-by-step explanation:

Calculate the arc length of the following curve from x = 0 to x = π/2:

y(x) = -1 + 3 cos(x)

Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.

Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:

s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx

Hint: | What is d/dx(-1 + 3 cos(x))?

Compute the derivative d/dx(-1 + 3 cos(x)):

= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx

Hint: | Can the integrand be simplified?

Simplify sqrt(1 + (-3 sin(x))^2):

= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx

Hint: | Can this integral be computed?

Compute the definite integral:

Answer: E(-9)≈3.4936

Answer:

400

Step-by-step explanation:

50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)

Answer:

2y=8/3x

Step-by-step explanation:

Answer:

Hahaha hahaha hahaha hahaha

Answer:

10 divided by two fifths = 25

Answer:

x1=[tex]\frac{-1-13}{3}[/tex], x2=[tex]\frac{-1+13}{3}[/tex]

Step-by-step explanation:

Answer:

no cycling for thatc long would cause you to be tired and will slow you down my personal opinon it would be 7 hours

The opposite of 4 is -4 :/

Answer:

-4

Step-by-step explanation:

correct have a nice day

Answer:

y=-3/2x+11

Step-by-step explanation:

M a t h w a y

Answer:

They should pay $12 each

Answer:

about 12 dollars probably more with tax maybe around 12.03

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

Answer:

X=8

Step-by-step explanation:

46+9x-8=14x-2

46-8+2=14x-9x

40=5x

8=x

Answer:

x=8

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

A. 29

Step-by-step explanation:

Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.

~theLocoCoco

Answer:

y = 5 + 4(w)

Step-by-step explanation:

Given that:

Consider y to be the total number of quizzes and x to be the number of weeks;

The number of quizzes already taken during the past quarters = 5

The number of quizzes to be each week = 4  

Therefore, the total number of quizzes is represented by quiz given during the past quarter and the quiz to be given in the future during every week of the quarter.

i.e

Total number of quiz y = quiz already taken during the past quarter + number of quiz each week(total number of weeks)

y = 5 + 4(w)

This is the required relationship between the number of weeks x and the total number of quizzes y.

Answer:

(2) f(-2) = 3

Step-by-step explanation:

Answer:

434

Step-by-step explanation:

To find the answer you divide 310 by 10 to get it's feet per second (f/s) which is 31, and then you multiply 31 by 14 to get the distance the elevator will travel in 14 seconds.

Mark brainliest pls :)

Answer:

434 feet

Step-by-step explanation:

310 divided by 10 = 31

31 times 14 = 434 feet

Answer:

x³ - 2x²y + 3xy² - y³

Step-by-step explanation:

When multiplying with two brackets, you need to multiply the two terms, (x) and (-y) from the first bracket to all the terms in the second brackets, (x²), (-2xy) and (y²) individually. I have put each multiplied term in a bracket so it is easier.

(x-y)(x²-2xy+y²) =

(x × x²) + {x × (-2xy)} + (x × y²) + {(-y) × x²) + {(-y) × (-2xy)} + {(-y) × y²)

Now we can evaluate the terms in the brackets.

(x × x²) + {x × (-2xy)} + (x × y²) + {(-y) × x²) + {(-y) × (-2xy)} + {(-y) × y²) =

(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³)

We can open the brackets now. One plus and one minus makes a minus.

(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³) = x³ - 2x²y + xy² + 2xy² - y³

Evaluate like terms.

x³ - 2x²y + xy² + 2xy² - y³ = x³ - 2x²y + 3xy² - y³

Answer:

12cm

Step-by-step explanation:

You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that

13² = h² + 5²

so

h = 13² - 5² = √144 = 12

Answer:

Step-by-step explanation:

4.1-1.25=2.85

lets divide

2.85/0.005=570

Answer:

2.85/0.005=570

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Yes, they are all correct.

Answer:

Part A)

[tex]C(t)=25+8t[/tex]

Part B)

[tex]C(35)=\$305[/tex]

Step-by-step explanation:

We will let t represent the total number of t-shirts printed.

We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.

Part A)

So, from the above information, we can write the following function:

[tex]C(t)=25+8t[/tex]

Where C(t) is the total cost for t shirts.

The 25 represents our initial fee and the 8t represents the cost for t t-shirts.

Part B)

So, if we have a team of 35 members, we will need 35 t-shirts.

Then the total cost will be given by:

[tex]\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}[/tex]

So, it will cost a total of $305.

Answer:

Maybe this will help btw not math

Step-by-step explanation:

Answer:

SAA

Step-by-step explanation:

SAA is correct