i need help because i dont gettt itttt

(a) V is a non measurable set, its Lebesgue measure is zero. Therefore, the Cartesian product R = V × V has a measure of zero as well

(b) S is not measurable in R²

(a) The S is a subset of a rectangle R such that m(R) = 0, we need to construct such a rectangle. Let's consider the interval V = [0, 1), which is a nonmeasurable set. We can define R as the Cartesian product of V with itself, i.e., R = V × V. Thus, R is a rectangle in R².

Now, let's show that S is a subset of R. For any point (x, y) in S, it can either belong to Q or CR².

If (x, y) is in Q, then x and y are rational numbers. Since V is a subset of [0, 1), which contains only irrational numbers, (x, y) cannot belong to V. Therefore, (x, y) must belong to CR².

If (x, y) is in CR², then x and y are irrational numbers. Since V contains only irrational numbers, (x, y) cannot belong to V. Therefore, (x, y) must belong to CR².

In both cases, (x, y) belongs to R = V × V. Hence, S is a subset of R.

To show that m(R) = 0, we need to show that the Lebesgue measure of R is zero. Since V is a non measurable set, its Lebesgue measure is zero. Therefore, the Cartesian product R = V × V has a measure of zero as well.

(b) No, S is not measurable in R². The reason is that V, being a non measurable set, does not have a well-defined Lebesgue measure. Consequently, any set containing V, such as S, will also be non measurable .

Measurability in R² requires all subsets to have a well-defined Lebesgue measure, which is not the case for S.

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Answer:

Step-by-step explanation:

a) it is a reflection

b) it is vertex B"

Answer:

d

Step-by-step explanation:

Given

- \(\frac{3}{2}\) x - 9 = - 27 ( add 9 to both sides )

- \(\frac{3}{2}\) x = - 18 ( multiply both sides by 2 to clear the fraction )

- 3x = - 36 ( divide both sides by - 3 )

x = 12 → d

Answer:

\( - \frac{145}{4} \)

Step-by-step explanation:

\( - 4 \frac{5}{6} \times 7 \frac{1}{2} = - \frac{24 + 5}{6} \times \frac{14 + 1}{2} = - \frac{435}{12 } = - \frac{145}{4} \)

Answer:

-36.25 or -36 1/2

Step-by-step explanation:

Answer:

14, 21, or 28 would be the only answers I can think of

Step-by-step explanation:

7 teams of 2, 3, or 4 gives the answers

Answer: From the origin, move 7 units forward, 5 units left, and 4 units up.

Hope this helps :)

The largest binary code is on 4 bits, the maximum possible number is binary 1111 or 15. And the maximum decimal number that can be represented with 1 byte is 255 or 11111111.

Binary code:

In math, binary code refers a coding system using the binary digits 0 and 1 to represent a letter, digit, or other character in a computer or other electronic device.

Given,

Here we need to find the largest binary code.

Here we know that, for each digit d in a binary number, starting from the rightmost digit, the value in decimal corresponding to this digit is written as,

=> d2ⁿ + d*2ⁿ⁻¹ .... 0, where n is its position.

For, example would be converting 11001:

Here we start from the right

=> 1*2⁰ + 0*2¹ + 0*2² + 1*2³ + 1*2⁴ = 25.

Therefore, if we have 8 bits, the largest number would be 11111111, That has the value of 255, which is the same result as the conversion above (1+2+4+8+16+32+64+128).

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These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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Step-by-step explanation:

this is the hardest I think

Answer:

$1.50

Step-by-step explanation:

12/8 = 1.50

Answer:

each taco cost $1.50

Step-by-step explanation:

\(C=\pi d\)

\(22/7(5/4)\)

\(=3.92857142857\)

\(3.92857142857(254)\)

\(=997.857142857\)

In 254 revolutions , the bicycle will travel \(997.85m\)

The circumference of bicycle is given as,

                        \(C=\pi d\)

Where \(d\) is diameter of bicycle.

Given that,\(d=\frac{5}{4} ,\pi=22/7\)

Substitute values in above equation.

\(C=\frac{22}{7}*\frac{5}{4}\\ \\ C=\frac{110}{28}=3.93\)

In 254 revolutions of the bicycle wheel is,\(C=254*3.93=997.85m\)

In 254 revolutions , the bicycle will travel \(997.85m\)

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Your question was incomplete , Complete question is here :

"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

if you eat broccoli then you eat vegetable

converse: if you eat vegetables then you eat broccoli

inverse: if you don't eat broccoli then you don't eat vegetables

contrapositive: if you don't eat vegetables then you don't eat broccoli

Step-by-step explanation:

converse: q to p

inverse: not p not q

contrapositive: not q not p

When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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#1

0.4

Additive=-0.4

Multiplicative=1/0.4

#2

5 5)6=35/6

#3

5x-3y-2x+3y=3x

#4

-11a-13b+7a-3b=-4a-16b

Additive

Multiplicative

#5

8x-7y-(3-6y)=8x-7y-3+6y=8x-y-3

Additive.

Multiplicative

The line of best fit refers to a straight line that represents the trend or relationship between two variables in a scatter plot. It is determined by minimizing the sum of the squared horizontal distances between each data point and the line.

In statistical analysis, the line of best fit, also known as the regression line, is used to approximate the relationship between two variables. It is commonly employed when dealing with scatter plots, where data points are scattered across a graph. The line of best fit is drawn in such a way that it minimizes the sum of the squared horizontal distances from each data point to the line.

The concept of minimizing the sum of squared distances arises from the least squares method, which aims to find the line that best represents the relationship between the variables. By minimizing the squared distances, the line is positioned as close as possible to the data points. This approach allows for a balance between overfitting (fitting the noise in the data) and underfitting (oversimplifying the relationship).

The line of best fit serves as a visual representation of the overall trend in the data. It provides a useful tool for making predictions or estimating values based on the relationship between the variables. The calculation of the line of best fit involves determining the slope and intercept that minimize the sum of squared distances, typically using mathematical techniques such as linear regression.

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Answer:

C. 333.14

Step-by-step explanation:

Both the basketball and baseball has got the shape of a sphere. So that;

volume of a sphere = \(\frac{4}{3}\)\(\pi\)\(r^{3}\)

where r is the radius

i. Volume of the baseball = \(\frac{4}{3}\)\(\pi\)\(r^{3}\)

                           =  \(\frac{4}{3}\) x \(\frac{22}{7}\) x \((9.25)^{3}\)

                           = 3315.5655

volume of the baseball = 3316.57 cube inches

ii. Volume of the basketball =  \(\frac{4}{3}\)\(\pi\)\(r^{3}\)

                            = \(\frac{4}{3}\) x \(\frac{22}{7}\) x \((9.55)^{3}\)

                            = 3649.8372

Volume of the basketball = 3649.84 cube inches

The required difference = volume of basketball - volume of baseball

                                  = 3649.84 - 3316.57

                                  = 333.27 cube inches

The difference of the volumes of the basketball and baseball is 333.27 cube inches.

Answer:

X+5.5

Domain             Range

Inequality:(0,2) Inequality:(0,2)

Set: D=x>0        Set: R=x>0

Interval: (0,2)    Interval: (0,2)

Function: No

Step-by-step explanation:

i did the math

If the radius of the circular table is 5 cm then the length of the trim required is 31.4 cm.

Given that the radius of the circular table is 5 cm.

What is the length of trim needed to decorate along the outside trim?

Circumference is the length of arc of the circle.It is also known as the perimeter of the  circle.

Circumference of the circle=2πr in which r is the radius of the circle.

It is given that the trim is placed and decorated along the outside edge, so the perimeter of the circle must equal to the length of trim needed.

Length of trim needed to decorate the circular table=2πr

=2*π*5

=10π

=10*3.14

=31.4 cm.

Hence the length of the trim needed to decorate along the table is 31.4 cm.

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Answer:

LM + MN=LN

Therefore (2x-16)+(x-9)=11

2x-16+x-9=11

2x+x-16-9=11

3x-25=11

3x=11+25

3x=36

x=36/3

x=12

Therefore MN=(12-9)=3

MN=3

product of two perpendicular line slopes must equals - 1 ;

As you know the coefficient of x is the slope of the line

Thus if we suppose that line has a slope of m , we have :

m × 2 = - 1

m = - 1 / 2

__________________________________

y = ax + b

y = - 1 / 2 x + b

The line passes through the point ( - 2 , - 2 ) thus :

- 2 = - 1 /2 × ( - 2 ) + b

- 2 = 1 + b

b = - 3

__________________________________

y = - 1/2 x - 3

Which mean the option c is the correct answer.

Answer:

y = -1/2(x) - 4

Step-by-step explanation:

\(y=-\frac{1}{2}(x)-4\)

The flux of the vector field F across the surface S in the indicated direction is -384π/√145.

The given vector field F is: F = 8x i + 8y j + 6 k

To find the flux of the vector field F across the surface S in the indicated direction, follow these steps:

Step 1: Find the normal vector of the surface S

The equation of the paraboloid "nose" is given as: z = 6x² + 6y²

When the plane z = 2 cuts the paraboloid, we get:2 = 6x² + 6y²

Dividing throughout by 2, we get:x² + y² = 1

This is the equation of the unit circle centered at the origin in the xy-plane and lying in the plane z = 2.

The normal vector at any point (x, y, z) on the surface S is given by the gradient of the function f(x, y, z) = z - 6x² - 6y² which is: grad f(x, y, z) = (-12x i - 12y j + 1 k)So at any point (x, y, z) on S, the unit normal vector is: n = (-12x i - 12y j + 1 k)/√(144x² + 144y² + 1)

Since we want the direction to be outward, we choose the direction of the normal vector to be outward.

Therefore: n = (12x i + 12y j - k)/√(144x² + 144y² + 1)

Step 2: Find the surface area of STo find the surface area of the surface S, we use the formula for the surface area of a parametric surface which is given by:S = ∫∫|rₓ × r_y| dA

where r(x, y) = (x, y, 6x² + 6y²) is the parametric equation of the surface S. To find the bounds of integration for the double integral, we note that the projection of the surface S onto the xy-plane is the unit circle centered at the origin.

Therefore, we use polar coordinates to evaluate the double integral. The parametric equation in polar coordinates is: r(θ) = (cos θ, sin θ, 6 cos² θ + 6 sin² θ) = (cos θ, sin θ, 6)

Therefore: rₓ = (-sin θ, cos θ, 0)r_y = (-cos θ, -sin θ, 0)|rₓ × r_y| = |(0, 0, 1)| = 1So:S = ∫₀²π ∫₀¹ 1 r dr dθ= π ∫₀¹ r dr= π/2

So the surface area of the surface S is π/2.

Step 3: Evaluate the flux of F across S using the formula:∫∫S F.n dS

We have: n = (12x i + 12y j - k)/√(144x² + 144y² + 1)F = 8x i + 8y j + 6 k

So: F.n = (8x i + 8y j + 6 k).(12x i + 12y j - k)/√(144x² + 144y² + 1)= (96x + 96y - 6)/√(144x² + 144y² + 1)

Therefore:∫∫S F.n dS = ∫₀²π ∫₀¹ (96r cos θ + 96r sin θ - 6)/√(144r² + 1) r dr dθ= 48π ∫₀¹ (12 cos θ + 12 sin θ - 1)/√(144r² + 1) drdθ= 48π ∫₀²π (12 cos θ + 12 sin θ - 1)/√145 dθ= 48π/√145 [12 sin θ - 12 cos θ - θ]₀²π= 48π/√145 (-24) = -384π/√145

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The length of the side AC of the right-angled triangle is equal to 24cm by comparison using the trigonometric ratio of sine of angle B.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the right-angled triangles ABC and DBC, we shall evaluate for the length AC using the trigonometric ratio of sine for the angle B° to derive an equation as follows:

For ∆ABC;

sin B = AC/BC {opposite/hypotenuse}

For ∆DBC;

sin B = 24cm/BC {opposite/hypotenuse}

thus;

AC/BC = 24cm/BC

Therefore, by comparison using the trigonometric ratio of sine for the angle B, we have the length of AC equal to 24cm.

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Answer:

slope = - \(\frac{2}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{2}{3}\) x - 1 ← is in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Answer:

-2/3

Step-by-step explanation:

\(y = - \frac{2}{3} x - 1 \\ equating \: it \: with \: \\ y = mx + b \\ m \: = - \frac{2}{3} \\ slope \: of \: line \: = - \frac{2}{3}\)

Step-by-step explanation:

a)

it all starts with the right-angled triangle at the bottom, under the seat row plane. it gives us the length of the tilted line from the front wall to row A, which is the baseline (Hypotenuse) for that triangle.

we know the bottom line (5.6 m). we know the angle at the left vertex (12°), and because the angle on the ground right underneath row A is 90°, the angle at row A is

180 - 90 - 12 = 78°

Hypotenuse/sin(90) = bottom line/sin(78)

Hypotenuse = 5.6/sin(78) = 5.725107331... m

the outside angle at the bottom left vertex is the inside angle of the same vertex for the triangle above the tilted floor. and that is the complementary angle to 12° (= 90-12 = 78°).

so the length of the line of sight from row A to the bottom of the screen (= side c) is then for the triangle above the tilted floor :

c² = 2.5² + 5.725107331...² - 2×2.5×5.72...×cos(78) =

= 33.07527023...

c = 5.751110347... m

so, we see, the length of the line of sight is slightly different to the length of the tilted floor. it is not an isoceles triangle.

the angle at the vertex at the bottom of the screen we get with the same method (this time we have all sides and need the angle) :

5.725107331...² = 2.5² + 5.751110347...² - 2×2.5×5.75...×cos(C)

cos(C) = -(5.725107331...² - 2.5² - 5.751110347...²)/(2×2.5×5.75...) = 0.227727026...

C = 76.8367109...°

the angle of elevation is then based on a horizontal line from row A

180 - 90 - 76.8367109... = 13.1632891...° ≈ 13.2°

b)

now we need to do the same things for row P.

the bottom line is now 19.6 m.

the angles still the same as before for the bottom triangle :

12° at the left bottom vertex, 90° in the ground under row P, 78° at the vertex directly at row P.

the length of the tilted floor (Hypotenuse) is then

Hypotenuse/sin(90) = 19.6/sin(78) = 20.03787566... m

the outside angle at the bottom left vertex is also the same as before. the complementary angle to 12° (= 90-12 = 78°).

so the length of the line of sight from row P to the bottom of the screen (= side c) is then for the triangle above the tilted floor :

c² = 2.5² + 20.03787566...² - 2×2.5×20.03...×cos(78) =

= 386.9359179...

c = 19.67068677... m

the angle at the vertex at the bottom of the screen we get with the same method (this time we have all sides and need the angle) :

20.03787566...² = 2.5² + 19.67068677...² - 2×2.5×19.75...×cos(C)

cos(C) = -(20.03787566...² - 2.5² - 19.67068677...²)/(2×2.5×19.67...) = -0.084700073...

C = 94.85877813...°

the angle of depression is then based on a horizontal line from row P

94.85877813... - 90 = 4.858778132...° ≈ 4.9°

why does this look different to the case in a) ?

because we are looking down instead of up, we have to compare it now to the outside supplementary angle at the bottom vertex of the screen (we are building another triangle on top of the line of sight) :

180 - 94.85877813... = 85.14122187...°

and our angle of depression is

180 - 90 - 85.14122187... = 4.858778132...° (see above).

The angle of elevation from Row A to the bottom of the screen is 78⁰.

The angle of depression from Row P to the bottom of the screen is 7.5⁰.

The angle of elevation from Row A to the bottom of the screen is calculated as follows;

from row A to the bottom of the screen, is a straight line;

angle elevation of row A to bottom of screen = 90 - 12⁰ = 78⁰

The length of row A to row P is calculated as;

cos 12 = L/19.6 m

L = 19.6 m x cos (12)

L = 19.2 m

The angle of depression from Row P to the bottom of the screen is calculated as follows;

sinθ = 2.5 m / 19.2 m

sinθ = 0.1302

θ = sin⁻¹ (0.1302)

θ =  7.5⁰

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Standard deviation = 0.314315

Mean = 0.466275Standard deviation = 0.314315

Using random numbers given below, we are to compute the mean and standard deviation.

0.931806 0.398110 0.216843 0.826248 0.323101 0.235342 0.105300 0.203744 0.973537 0.1813430.848380 0.602418 0.013789 0.495464 0.3657860.027959 0.782500 0.232680 0.913043 0.689042 0.399642 0.982936 0.724617 0.088320 0.152830 0.303524 0.706177 0.076412 0.937273 0.3670350.155910 0.003958 0.442786 0.769659 0.098387 0.995570 0.953256 0.497222 0.428427 0.531733 0.895690 0.717929 0.257446 0.478400 0.810417 0.666180 0.071199 0.876201 0.545347 0.159312

Let us first find the sum of all the given numbers:

Sum of all the given numbers = 22.824475The mean is equal to the sum of all the given numbers divided by the number of values or data points.

Mean = Sum of all the given numbers/Number of values= 22.824475/49= 0.466275 (to 6 decimals)For Standard Deviation:Calculate the deviations of each data point from the mean.

Deviation = data value - meanDeviation

0.931806-0.466275

= 0.4655310.39811-0.466275

= -0.0681650.216843-0.466275

= -0.2494320.826248-0.466275

= 0.3599730.323101-0.466275

= -0.1431740.235342-0.466275

= -0.2309330.1053-0.466275

= -0.3609750.203744-0.466275

= -0.2625310.973537-0.466275

= 0.5072620.181343-0.466275

= -0.2849320.84838-0.466275

= 0.3821050.602418-0.466275

= 0.1361430.013789-0.466275

= -0.4524860.495464-0.466275

= 0.0291890.365786-0.466275

= -0.1004890.027959-0.466275

= -0.4383160.7825-0.466275

= 0.3162250.23268-0.466275

= -0.2335950.913043-0.466275

= 0.4467680.689042-0.466275

= 0.2227670.399642-0.466275

= -0.0666330.982936-0.466275

= 0.5166610.724617-0.466275

= 0.2583420.08832-0.466275

= -0.3779550.15283-0.466275

= -0.3134450.303524-0.466275

= -0.1627510.706177-0.466275

= 0.2399020.076412-0.466275

= -0.3898630.937273-0.466275

= 0.4709980.367035-0.466275

= -0.099240.15591-0.466275

= -0.3103650.003958-0.466275

= -0.4623170.442786-0.466275

= -0.0234890.769659-0.466275

= 0.3033840.098387-0.466275

= -0.3678880.99557-0.466275

= 0.5292950.953256-0.466275

= 0.4869810.497222-0.466275

= 0.0309470.428427-0.466275

= -0.0378480.531733-0.466275

= 0.0654580.89569-0.466275

= 0.4294150.717929-0.466275

= 0.2516540.257446-0.466275

= -0.2088290.4784-0.466275

= 0.0121250.810417-0.466275

= 0.3441420.66618-0.466275

= 0.1999050.071199-0.466275

= -0.3950760.876201-0.466275

= 0.4099260.545347-0.466275

= 0.0790720.159312-0.466275

= -0.306963

Squared deviations are obtained by squaring the deviations.

Squared Deviation

0.216548295 0.004637516 0.062216904 0.129554124 0.020491426 0.053184018 0.130515481 0.068973147 0.257270145 0.081111189 0.145998825 0.018532791 0.204814163 0.000849691 0.010099712 0.191979424 0.099977778 0.054573104 0.199406948 0.049550262 0.004452173 0.266797063 0.066566605 0.142963461 0.098098804 0.026526768 0.057547573 0.057523157 0.151011985 0.060334873 0.220807229 0.003184658 0.096166054 0.213734313 0.092657256 0.134059226 0.250037803 0.236149271 0.000918616 0.064068937 0.00624095 0.305417694 0.237333383 0.04779582 0.120453688 0.006914376 0.006493958 0.017708226The variance is the average of the squared deviations.

Variance = (Sum of squared deviations) / (Number of values - 1)Variance = 5.426947 / 48= 0.113123 (to 6 decimals)

Standard deviation is equal to the square root of the variance.

Standard deviation = sqrt(Variance)= sqrt(0.113123)= 0.314315 (to 6 decimals)

Therefore,Mean = 0.466275

Standard deviation = 0.314315

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Answer:

I would choose A as the right answer

Answer:

What is triangle ABC and what are the measures and what are the angles. Please provide enough information

Step-by-step explanation:

Answer: (B)      f(x) = x + 2

Step-by-step explanation: Let's start by finding the "y-intercept".

1.  First you can see that the table is not set to the y-intercept automatically, so we have to infer on our own. In the table, you can see that the change from each number is the same. So the y-intercept would be +2 as x = 0, y = 2

2. Looking back at the changes between each box, x for the first change = +4, then for the second = +2, then for the third = +2. Then y for the first = -4, then for the second = -2, then for the third = -2.

So from all of that if you put that into slope form then it would look like 4/-4 = -1x

3. You might be asking why there is a -1x not x since x is the answer. Truth is I really don't know but again the one that makes the most sense is option B.  f(x) = x + 2