if you know the value of X and Y.. please let me know.​

Answer:

8 - 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given: [tex]\frac{26}{4 + \sqrt{3} }[/tex]

To express the given question in the form a + b[tex]\sqrt{3}[/tex], we first have to rationalize the denominator of the expression.

Rationalizing the denominator, we have;

[tex]\frac{26}{4 + \sqrt{3} }[/tex] * [tex]\frac{4 - \sqrt{3} }{4 - \sqrt{3} }[/tex]  = [tex]\frac{104 -26\sqrt{3} }{16 -4\sqrt{3} + 4\sqrt{3}- 3 }[/tex]

= [tex]\frac{104 - 26\sqrt{3} }{16 - 3}[/tex]

 = [tex]\frac{26(4 - \sqrt{3} }{13}[/tex]

= 2(4 - [tex]\sqrt{3}[/tex])

= 8 - 4[tex]\sqrt{3}[/tex]

The required form of the given question is therefore 8 - 4[tex]\sqrt{3}[/tex]

Mean:

E[Y] = E[3X₁ + X₂]

E[Y] = 3 E[X₁] + E[X₂]

E[Y] = 3µ + µ

E[Y] = 4µ

Variance:

Var[Y] = Var[3X₁ + X₂]

Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]

(the covariance is 0 since X₁ and X₂ are independent)

Var[Y] = 9 Var[X₁] + Var[X₂]

Var[Y] = 9σ² + σ²

Var[Y] = 10σ²

Answer:

It is 6 foxes

Step-by-step explanation:

Because if 6 foxes can catch 6 hens in 6 minuets then 6 foxs can can 60 hens in 60 minutes because you just multiply 6 minutes by 10 and get 60 minutes which is also the same for hens.

Answer:

6 foxes

Step-by-step explanation:

For 6 foxes to catch 60 hens (10 x 6 or 10 times more than 6 hens) they will need 10 times more time than they had to catch 6 hens, or 10 x 6 = 60 minutes.

Answer:

[tex]{ \tt{sum = \frac{a(r {}^{n - 1} )}{n - 1} }} \\ 27 = \frac{a(r {}^{2 - 1} )}{2 - 1} \\ { \bf{27 = ar - - - (i)}} \\ \\ 54 = \frac{a( {r}^{3 - 1} )}{3 - 1} \\ { \bf{108 = a {r}^{2} - - - (ii) }} \\ { \tt{(ii) \div (i) : }} \\ r = \frac{108}{27} \\ { \bf{common \: ratio = 4}} \\ { \bf{first \: term = \frac{27}{4} }}[/tex]

Step-by-step explanation:

similar triangles are simply like a linear protection, a "zoom" without distortion from one triangle to the other.

so, all linear distances and connections change by the same scaling factor.

therefore also the height EF of the smaller triangle colors the same scaling factor as the other lines. and EF is half the length of CG.

the area of a triangle is defined as baseline × height /2.

so, 2 linear distances are multiplied.

each one now contains the same scaling factor. so, the formula for the similar triangle multiplies the original distances and fire each also the scaling factor leading to the square of the scaling factor.

so, area new = area old × scaling²

in our example the scaling factor is 2, and 2² = 4.

so the area of ABC is 4 times as large as the area of ADE.

Answer:

216 different cakes are possible.

Step-by-step explanation:

Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:

4 x 3 x 6 x 3 = X

12 x 18 = X

216 = X

Therefore, 216 different cakes are possible.

Answer:

(-4,2)

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Function A is not clear; I will use the following in place of function A

Function A:

[tex]x \to\ 1 |\ 3 |\ 4 |\ 6[/tex]

[tex]y \to -1|\ 3|\ 5|\ 9[/tex]

Function B:

[tex]y = 2x + 4[/tex]

Required

Compare both functions

For linear functions, we often compare the slope and the y intercepts only.

Calculating the slope of function A, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,-1)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{3 - 1}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

To calculate the y intercept, we set [tex]x = 0[/tex], then solve for y

i.e.[tex](x,y) = (0,y)[/tex]

Using the slope formula, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex]m = 2[/tex]

[tex](x_1,y_1) = (0,y)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]2 = \frac{3 - y}{3 - 0}[/tex]

[tex]2 = \frac{3 - y}{3}[/tex]

Multiply by 3

[tex]6 = 3 - y[/tex]

Collect like terms

[tex]y = 3 - 6[/tex]

[tex]y = -3[/tex]

So, for function A:

[tex]m = 2[/tex] -- slope

[tex]y = -3[/tex] --- y intercept

For function B

[tex]y = 2x + 4[/tex]

A linear function is represented as:

[tex]y = mx + b[/tex]

By comparison

[tex]m = 2[/tex] --- slope

[tex]b = 4[/tex] --- y intercept

By comparing the results of both functions, we have the following conclusion:

Functions A and B have the same slope (i.e. 2)

Function B has a greater y intercept (i.e. 4)

Answer:

[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]

Answer:

x = 44° and 74°: x cannot be less than 44°, x cannot be greater than 74°.

Step-by-step explanation:

Obtuse angles are greater than 90° but less than 180°.

We can first solve for the lower bound of x.

Thus the lower bound restriction of x is 44°

We can now solve for the upper bound of x.

Thus the upper bound restriction of x is 74°

Answer:

If Cathy ran at a constant speed of 10 meters in 2 seconds, it took Cathy 20 seconds to run 100 meters.

Step-by-step explanation:

Hope this helps.

Answer:

If Cathy run at constant speed of 10 meters in 2 seconds, it took Cathy 20 second to run 100 meters.

Answer:

Step-by-step explanation:

x is the original price.

420/x = 70% = 0.7

x = 420/0.7 = 600

Original price of bracelet was £600

❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]

To solve, use the algebraic identity ➺

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:I don’t speak Spanish so I can’t help

Step-by-step explanation:

Answer:

Probability of getting a number which is not 2 = 7/8

Step-by-step explanation:

Given;

Total number of faces = 8

Number of face with 2 = 1

Number of face with 3 = 2

Number of face with 4 = 1

Number of face with 7 = 3

Number of face with 9 = 1

Find:

Probability of getting a number which is not 2

Computation:

Probability of not an event = 1 - [Number of favourable outcomes / Total number of outcomes]

Probability of getting a number which is not 2 = 1 - [1/8]

Probability of getting a number which is not 2 = [8-1] / 8

Probability of getting a number which is not 2 = 7/8

Answer:

It's D, x≤-15

Answer:

C

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then

a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

Answer:

Using the net below, find the surface area

of the pyramid.

sto

5 in

5 in.

Surface Area

=

[?] in?Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

27/45 = .6

.6 = 60%

Answer:

The prime factors of 168 are 2, 3, and 7.

Step-by-step explanation:

Answer:

can you show the equations?

A={ even number}

B={ odd number}

C={ X:X is a prime numbers}

D={ y:y is a composite number}

E={z:z is a square number}

F={ cube number}

G={ multiples of 7}

H={ X:X is divisible by 11}

90 = 8100

91 = 8281

92 = 8464

93 = 8649

94 = 8836

95 = 9025

96 = 9216

97 = 9409

98 = 9604

99 = 9801

100 = 10000

✩ ⁱ ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ✩

Answer:

A

The even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100

B

The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99

C

The prime number between 90 and 100 is: 97

D

The composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.

E

The square numbers between 90 and 100 are:

90 = 8100

91 = 8281

92 = 8464

93 = 8649

94 = 8836

95 = 9025

96 = 9216

97 = 9409

98 = 9604

99 = 9801

100 = 10000

F

The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100.

G

The multiples of 7 between 90 and 100 are: 91 and 98

H

Divisible by 11 (between 90 and 100) is: 99

Step-by-step explanation:

What equation are you talking about

[tex]\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$[/tex]

Answer:

90

Step-by-step explanation:

Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies