A rhombus can belong to multiple categories. which catergories does this rhombus not belong to? Select the two correct answers.

Answer: -6x+18

Step-by-step explanation:

-3(2x-6)=

-3*2x-(-3*6)=     ==> During distribution

-6x-(-18)=-6x+18    ==> After distribution property

Answer:

60%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

Therefore, the probability that the sample variance is greater than 9.1 is approximately 0.055, or 5.5%.

To calculate the probability that the sample variance is greater than 9.1, we can use the chi-square distribution.

In this case, we have a sample size of 25 customers. Since the session duration is normally distributed with a variance of 6, the sample variance will follow a chi-square distribution with 25 - 1 = 24 degrees of freedom.

To find the probability that the sample variance is greater than 9.1, we need to calculate the upper tail probability of the chi-square distribution.

Using statistical software or a chi-square table, we can find that the upper tail probability for a chi-square distribution with 24 degrees of freedom and a value of 9.1 is approximately 0.055.

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Part a) The function’s equation written in vertex form is

   f(X) = 2(x - 2)² - 8

Part b) The function’s equation written in factored form is equal to

   f(x) = 2x(x - 4)

What is a simple definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. A domain, codomain, or range exists for every function. A function is often represented by the notation f(x), where x represents the input.

The equation of a vertical parabola written in vertex form is equal to

     f(x) = a(x - h )² + k

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

 f(x) = a( x - 2)²  - 8

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

 0 = a(0 -2)² - 8

 0 = 4a - 8

  a = 2

therefore

The function’s equation written in vertex form is

          f(x) = 2(x - 2)²- 8

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

  f(x) = a(x - x₁)(x- x₂)

where

a is a coefficient

x₁ and x₂ are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

 f(x) = a(x- 0)(x- 4)

 f(x) = ax(x - 4)

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

 - 8 = a(2)( 2 - 4)

 - 8 = - 4a

   a = 2

therefore

The function’s equation written in factored form is equal to

   f(X) = 2x(x - 4)

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Answer:

Robin earns 635 + 0.02*(12350-6500) dollars.

Step-by-step explanation:

Just know please mark branliest

Chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Let M be the midpoint of AB, so EM is perpendicular to AB.

Since OF is a diameter of the circle, angle EOF is a right angle.

Triangles EOF and EMA are similar, since they both have a right angle and angle EFM is congruent to angle EAM, being alternate interior angles of parallel lines.

The corresponding sides are proportional:

EF / EA = EO / EM.

EM is half the length of AB, which is the diameter of the semicircle,

EO must be equal to the radius of the semicircle.

Therefore, we have EF / EA = radius / (diameter / 2) = 2 / 2 = 1,

EF = EA.

Hence, chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF

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Answer:

y= 4x -3

Step-by-step explanation:

1) add -8x at both members

8x - 2y - 8x = 6 - 8x

-2y =  -8x + 6

2) divide both members by -2

y = 4x -3

Answer

to solve the equation for t

You have r= t/m

So you need to rearrange the terms

r= t /m ; t = r*m

you pass the m from dividing to multiplying

t = r * m

Answer:

Answer: 27:8

Step-by-step explanation:

There are 24 + 16 + 14 = 24+16+14= 54

54 marbles in total.

The ratio of total marbles to red marbles is 54 : 16, which simplifies to 27 : 8.

Answer: 27:8

The line integral ∫\(c(3y^2x)dx + (9x^2y)dy\) over the positively oriented square C can be evaluated by converting it into a double integral using Green's theorem and integrating over the region R enclosed by the square. The specific numerical value of the line integral requires calculating the double integral with appropriate limits of integration.

Green's theorem states that for a simply connected region R in the xy-plane with a piecewise smooth boundary C, the line integral of a vector field F = (P, Q) over C can be evaluated by converting it into a double integral over R. In this case, we have the line integral ∫\(c(3y^2x)dx + (9x^2y)dy\) over the square C with vertices (0,0), (1,0), (1,1), and (0,1).

To evaluate this line integral using Green's theorem, we first need to calculate the partial derivatives of P = \(3y^2x\) with respect to y and Q = 9x^2y with respect to x. Taking these partial derivatives, we obtain dP/dy = 6yx and dQ/dx = 18xy.

Applying Green's theorem, we convert the line integral into a double integral over the region R enclosed by the square C. The double integral becomes ∬R (dQ/dx - dP/dy) dA, where dA represents the area element. By evaluating this double integral over the region R, we can find the value of the line integral.

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Answer:

True

Right angles measure 90° . So each vertical angle = 90° and hence they are equal

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

We know that -3 is on the x axis and 3 is on the y axis.

and the y axis usually determines if you are going to have a positive slope or negative since it would either rise or decrease. In this cause (-3, 3) shows that 3 is going to be our slope.

Answer:

y=3

Step-by-step explanation:

In a normal equation, y=mx+b, m=slope. If slope=0 in this equation, then it is safe to say that the equation is y=b. Since the Y coordinate is 3, then we can safely assume that the equation is equal to y=3

Answer:

C

Step-by-step explanation:

Hope it helps

Answer:

a

Step-by-step explanation:

if u multiply by -5 the 5s will cancel out

Answer:

c

Step-by-step explanation:

sorry if it wrong

Answer:

all together the total amount of money spent was 46$

Step-by-step explanation:

Answer:

C = 3.14

Step-by-step explanation:

Center of the circle is (h, k)

h = 4,  k = 1

Use the equation of a circle and the given point (4, -4) to find r:

r² = (x-h)² + (y-k)² = (4-4)² + (-4-1)² = 0 + (-5)² = 25

r = √25 = 5

Find circumference, C:

C = 2πr = 2π(5) = 31.4

Brainly doesn't provide drawing tools, but you can easily draw this circle.  Just plot the center point (4, 1), then draw a circle with a radius of 5 around it.  You'll see that this circle passes through the point (4, -4).

Answer:

try -1 it's easier to get the question answered so it can be turned in

A 1x25 Playfair matrix results in a substitution system called the "Playfair Cipher."

This cipher is a digraph substitution cipher, where pairs of letters are encrypted using a 5x5 matrix created from a keyword. The matrix is filled with unique letters of the alphabet, and "I" and "J" are typically combined into one slot. The Playfair Cipher encrypts pairs of letters by following specific rules: if the letters are in the same row or column, they're replaced by the letters to their immediate right or below, and if they form a rectangle, they're replaced by the letters on the same row but in the opposite corners. This cipher provides a more secure encryption compared to simple substitution ciphers, as it encrypts pairs of letters instead of single characters.

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Probability that the second card is an ace, given that the first card is an ace is 1/ 221

Without replacement means drawing the card first but not putting back to the deck and then drawing again.

Total number of cards in a deck = 52

Number of an ace in whole deck = 4

let event of getting an ace in first draw be A

and event of getting an ace in second draw be B

P(A) = 4 / 52 = 1 /13

drawing without replacement

P(B) = 3 / 51 = 1 / 17

Probability that second card is an ace given that first card is an ace is

P(A).P(B) =

1/13 × 1/ 17 = 1 / 221

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Answer:

507 ft²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given diameter = 26 then r = 26 ÷ 2 = 13 , so

A = π × 13² ≈ 3 × 169 = 507 ft²

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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This is an example of first mover advantage.

First mover advantage is a theory of organizational and business strategy by means of which it is considered that whoever has the first possibility of making decisions on a subject, will have a comparative advantage over the rest of the participants.

This is so because, it is assumed, this first actor will be able to take the best option for himself, leaving lower-ranking options to the rest of the participants.

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Answer:

We can evaluate this integral using trigonometric substitution. Let x = 8 sin(θ). Then dx = 8 cos(θ) dθ. Substituting gives us:

```

∫√1−64x2dx = ∫√1−64(8sin(θ))^2(8cos(θ))dθ = ∫√1−64sin^2(θ)cos(θ)dθ

```

We can now use the identity sin^2(θ) + cos^2(θ) = 1 to simplify this integral:

```

∫√1−64sin^2(θ)cos(θ)dθ = ∫√cos^2(θ)cos(θ)dθ = ∫8cos^3(θ)dθ

```

We can now integrate using the power rule:

```

∫8cos^3(θ)dθ = 8cos^4(θ)/4 + C = 2cos^4(θ) + C

```

To reverse the substitution, we need to solve for θ in terms of x. We have:

```

x = 8sin(θ)

```

```

sin(θ) = x/8

```

```

θ = sin^-1(x/8)

```

Substituting gives us:

```

2cos^4(θ) + C = 2cos^4(sin^-1(x/8)) + C

```

```

= 2(1 - sin^2(sin^-1(x/8)))^2 + C

```

```

= 2(1 - (x/8)^2)^2 + C

```

```

= 2(1 - x^2/64)^2 + C

```

Therefore, the integral is equal to:

```

∫√1−64x2dx = 2(1 - x^2/64)^2 + C

```

Step-by-step explanation:

The integral ∫√(1-64x²)dx is equal to (1/128)(asin(8x) + 8x√(1-64x²) + C), where C is the constant of integration.

To solve this integral, we use trigonometric substitution. Let x = (1/8)sin(θ), so dx = (1/8)cos(θ)dθ. The integral becomes ∫√(1-64((1/8)sin(θ))²)(1/8)cos(θ)dθ = ∫(1/8)cos²(θ)dθ.

Now, apply the power-reduction formula: cos²(θ) = (1+cos(2θ))/2. The integral becomes ∫(1/16)(1+cos(2θ))dθ. Integrate with respect to θ: (1/16)(θ+(1/2)sin(2θ)) + C. Convert back to x using θ = asin(8x): (1/128)(asin(8x) + 8x√(1-64x²)) + C.

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Answer:

Explanation:

x

2

−

9

=

16

or

x

2

=

16

+

9

or

x

2

=

25

or

x

=

√

25

or

x

=

±

Answer:

The correct answers should be b and c

Step-by-step explanation:

|•-•|

Answer:

11. x and y equal 35

12 - x = 64 and y=116

Step-by-step explanation:

For #11 they give you an angle (110) and they tell you that the two sides are congruent. If the two sides are congruent then the opposite angles are congruent. so x and the other missing angle are congruent. If a triangles sides add up to 180 we have to subtract 110 from 180 and divide that by 2

180-110=70

70/2 so x and the other missing angle equal 35

now to find y, well the angle equal to 35 and y are vertical angles so they are congruent with each other so x and y equal 35

For #12 they give you an angle (52) and tell you that two sides are congruent, meaning the opposite angles are also congruent. So for this one we do the same thing subtract 52 from 180 and divide that by 2

180-52=128

128/2=64 so y and the other missing angle in the triangle equal 64

to find x we look at y and see that they are supplementary angles so they will add up to 180 so to find x we subtract 64 from 180

180-64=116

so x = 64 and y=116

have a great day :D

Answer:

X And Y Equal To 110

Step-by-step explanation:

Hope It Helps U

Answer:

18/7

Step-by-step explanation:

x=reciprocal of 7/18

7/18 * x = 1 ==> the product of the reciprocal of a number and the number itself is one since the product of the numerator and the product of the denominator would be the same.

7x/18=1

7x/18 * 18=1*18

7x=18

7x/7=18/7

x=18/7

Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)

now, the y-intercept occurs when x = 0, recheck the picture below.

The Length of FD = 26 cm

According to the given information

FE = FC = 12cm

As FE, FC both are radius of circle

The tangent segments to a circle from a external point are equal

Hence

CD = ED

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27/9

x = 3

CD = 13x - 16

     = 13 × 3 - 16

     = 23 cm

ED = 4x + 11

     = 4 × 3 + 11

     = 23 cm

In Triangle FED

FE is perpendicular to ED

According to Pythagoras Theorem

\(FD^{2}= FE^{2}+ED^{2}\)

       = \(12^{2}+ 23^{2}\)

       = 673

FD = 26 cm approx.

The Length of FD = 26 cm

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