Find the value of X
10
X

52

if im wrong, sorry

if im right, yay

A set S has four members if there are six subsets of it, each with two members.

The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.

[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]

There are 6 subsets in this situation, each with 2 members.

So, [tex]^nC_2[/tex] = 6

Simplifying the equation:

n! / (2!(n-2)!) = 6

n(n-1) / (2 x 1) = 6

n(n-1) / 2 = 6

n(n-1) = 12

Expanding the equation:

[tex]n^2 - n = 12[/tex]

[tex]n^2 - n - 12 = 0[/tex]

Factoring the quadratic equation:

(n - 4)(n + 3) = 0

When all factors are set to zero and n is calculated:

n - 4 = 0    or    n + 3 = 0

n = 4        or    n = -3

Since n must be a positive integer.

So, n = 4 is the valid solution.

Thus, set S consists of 4 members.

Learn more about Combination here:

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#SPJ12

9514 1404 393

Answer:

  (b) The function is negative for all real values of x where x < -3 and where x > 1

Step-by-step explanation:

It is pretty easy to tell from the graph that the function is negative for x < -3 and for x > 1.

The test of validity is used to determine whether a claim is true or not, based on certain condition(s).

The validity of the given statement is true.

From the question, the given condition is:

Whenever he participates in a race, he is the winner

This can be interpreted as follows:

So, if he is sick; it means that he does not participate in the race and as such he is not the winner.

Hence, the validity of the following statement is true

"Either he participates in the race or he is sick he is not the winner, therefore he is sick​."

Read more about test of validity at

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Answer:

2

Step-by-step explanation:

1+1×5−6+8×(4+4)−62 =

1+1x5-6+8x(8)-62 =

1+5-6+64-62 =

2

Hope this helps! :)

Answer:

a

Step-by-step explanation:

plz gimme brainliest

According to the the video, the Golden Ratio is a figure in mathematics theorized by mathematicians as a value that indicates natures beauty symmetry

[tex]\mathbf{The \ value\ of \ the \ Golden \ ratio \ is \ \phi} = \mathbf{\dfrac{1 + \sqrt{5} }{2} }[/tex]

Good examples of the Golden Ratio in art and architecture is the Great Pyramid of Giza, constructed in 2570 B.C. and the temple of Parthenon for which construction began in 447 BC and the decoration completed in 432 BC

The reason the temple of Parthenon is so interesting is that the temple just like the pyramid were meant to last indefinitely, such that they can only be made to last so long by the deities, as such by building using the Golden Ratio found in nature including the spiral galaxies, is in recognition of nature's beauty which is aesthetically pleasing to the eyes, harmonious, and maybe preservative

2. The common presence of the Golden Ratio in the universe can be seen as both a grand design and a coincidence, however, due to the higher prevalence than random occurrence, it can be taken as a design that can be observed in nature

3. The topic helps reinforce the belief in the application of math to daily life, because it is a good portrayal of how math can contribute to all aspect of human life

Learn more about the Golden Ratio here:

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Answer:

Step-by-step explanation:

for additional examples of the Golden Ratio. Select your favorite example from the video (or your own research) and explain

why this specific example is so interesting to you. (Possible keywords: the golden ratio + in nature, + in art, + in the human body, + in geometry).

Step-by-step explanation:

cost of 1 table=2400/6=rs.400

or ,cost of 1 chair=2400/8=rs.300

now,

cost of 24 tables=24×400=9600

or,cost of 12 chairs=12×300=3600

or,

may be the question is,

6tables + 8 chairs= 2400

24 tables + 12 chairs=?

solution,

cost of 1 tables=rs.200

cost of 1 chair=rs.150

now,

cost of 24 tables=200×24=4800

cost of 12 chairs=150×12=1800

so, ans= 4800+1800=6600

Answer:

Rs.13200

Step-by-step explanation:

cost of 6 tables=Rs.2400

or,

cost of 8 chair=Rs.2400

cost of 1 table=2400/6

                      =Rs.400

cost of 1 chair=2400/8

                      =Rs.300

cost of 24 tables=24*400

                            =Rs.9600

cost of 12 chairs=12*300

                         =Rs.3600

total cost of 24 tables and 12 chairs=9600+3600

                                                          =Rs.13200

Answer:

To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.

Answer:

C

Step-by-step explanation:

Answer:

[tex] \frac{ - 1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} [/tex]

[tex] = \frac{ - 1}{6} [/tex] ✅

Answer: c. y= 2x -3

Step-by-step explanation:

Slope Intercept Form: y= mx +b

m=slope

b= y intercept

the slope is 2 because the line "rises" 2 times and "runs" 1 time

rise/run

2/1

m=2

the y intercept is where the line crosses the (vertical) y-axis

on this graph the line crosses at (0,-3), therefore

b= -3

plug into Slope Intercept Form:

y= mx +b

y= 2x-3

Answer:

no solution

Step-by-step explanation:

5x-3(x-8)=2x-4

Distribute

5x -3x+24 = 2x-4

Combine like terms

2x +24 = 2x-4

Subtract 2x from each side

2x+24-2x = 2x-4-2x

24 = -4

This is not a true statement so there is no solution

Answer:

No Solution

Step-by-step explanation:

5x-3(x-8)=2x-4

1) Distribute:

5x -3x+24 = 2x-4

2) Simplify:

2x +24 = 2x-4

3) Subtract 2x from both sides

2x+24-2x = 2x-4-2x

We are now left with (after simplifying): 24 = -4

**NO SOLUTION!**

Answer:

y = -|x + 1| - 4

Step-by-step explanation:

Answer:

(-6,6)

Step-by-step explanation:

Answer:

$2.20

Explanation:

For every mile $0.20 is charged

The base fee is $2.00

If you travel 1 mile, you get charged $0.20 along with the base fee of $2.00

2.00 + 0.20 = 2.20

Answer:

-1/4

Step-by-step explanation:

-0.25

Answer:

i believe its 1512mm

Step-by-step explanation:

56mm x 27mm

Answer:

1

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

Step-by-step explanation:

Diameter = 6 units

Radius = Diameter/2 = 6/2 = 3 units

Taking π=3.14

Circumference = 2(π)(r) = 2(3.14)(3) = 6(3.14) = 18.84 = c

c = 18.84

Area = π(r)^2 = π(3)^2 = 9π =9(3.14) = 28.26 = b

b = 28.26

So,

b + c = 28.26 + 18.84 = 47.1

Answer:

b=6π the unit(cm)

c=18.84 the unit(cm)

b+c=

9+18.84=27.84

Step-by-step explanation:

circumference=c

diameter=d

radius=r

area=b

d=2r

6=2r

6=r

2

r=3

b=πr^2

b=3×3π

=9π

c=2πr

=2(3.14)3

= 3.14×6

=18.84

Answer:

The answer is 6

Step-by-step explanation:

9×4/6

=36/6

=6.

Answer:

3.6 cups of milk

Step-by-step explanation:

Create a proportion where x is the number of cups of milk needed for 9 servings:

[tex]\frac{5}{2}[/tex] = [tex]\frac{9}{x}[/tex]

Cross multiply and solve for x:

5x = 18

x = 3.6

So, 3.6 cups of milk are needed to make 9 servings.

[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]

[tex]\\ \rm\longmapsto 231.80+345.85[/tex]

[tex]\\ \rm\longmapsto 577.65[/tex]

[tex]\\ \rm\longmapsto 25.85+2.00[/tex]

[tex]\\ \rm\longmapsto 27.85[/tex]

[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]

[tex]\\ \rm\longmapsto 117+19.45[/tex]

[tex]\\ \rm\longmapsto 136.45[/tex]

[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]

[tex]\\ \rm\longmapsto 577.65-191.3[/tex]

[tex]\\ \rm\longmapsto 386.35[/tex]

Now

[tex]\\ \rm\longmapsto 386.35+271.31[/tex]

[tex]\\ \rm\longmapsto\$ 657.66[/tex]

Answer:

measure of missing angle is 127°

Step-by-step explanation:

let the missing angle be'x'

Answer:

The missing angle is 124°.

Step-by-step explanation:

Let the missing angle be x°.

53° + x° = 180° ( straight angle )

x° = 180° - 53°

x° = 137°

Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5