Which of these numbers is prime? Choose 1 answer: 3 30 63 77 E 91​

On adding the provided equations, 4x +7y= 17 and 9x + 13y = 46 the resultant equation we will be getting is 13x + 20y = 63.

In order to perform addition of two equations together, we are needed to add the left-hand side of each equation and the right-hand side of each equation separately. This gives us:

(4x + 7y) + (9x + 13y) = 17 + 46

Combining like terms on both the sides, we will be getting ,

13x + 20y = 63

Therefore, from the above calculations this inference can be drawn that the overall equation is calculated to be  13x + 20y = 63.

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The complete question is :

4x +7y= 17

9x + 13y = 46

when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Answer:

8/1

Step-by-step explanation:

Since the Opposite is the other way around you flip the answer the other way around

Answer:

7

Step-by-step explanation:

When dividing numbers with exponents that have the same base (in this case it’s 5), you can subtract the two exponents to simplify it.

I’m just going to show you how to solve it for you to understand:

\(\frac{5^{11} }{5^{x} }=5^{4}\) This means that what can you subtract from 11 (the exponent) to get to 4 (the other exponent). You can notice that 11 - 7 = 4.

So,

\(\frac{5^{11} }{5^{7} }=5^{4}\)

Answer: 7

You have a good day too!

Hope this helps! :)

Answer: B of the AAS congruence theorem

Step-by-step explanation:

edge

Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

The appropriate soil media depth for the green roof can be determined, taking into account the WQv requirement and the structural limitations of the rooftop.

a) The WQv represents the volume of water that needs to be managed to meet water quality regulations. To calculate the WQv, the 90% rainfall number (P = 1.2 in) is used. The WQv can be determined by multiplying the rainfall number by the surface area of the rooftop reserved for the green roof (30 ft x 100 ft x 0.4, considering 60% reserved for maintenance access and equipment).

b) The minimum soil media depth needed to meet the WQv can be calculated by dividing the WQv by the product of the soil media porosity (20%) and the drainage layer depth (2 in).

c) Finally, the soil media depth for the green roof design needs to be determined. It should not exceed the maximum allowed soil depth of 1 foot.

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Answer:

1/25

Step-by-step explanation:

The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

Given,

A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.

We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.

A combination is used to select required items from a set where the order of selection does not matter.

It is given by:

n^Cr = n! / r! (n-r)!

Where n = the number of elements present in a set.

Find the number of each marble.

Red marbles - 4

Green marbles - 6

Yellow marbles - 8

Blue marbles - 2

Find the probability of drawing a blue marble

P ( B ) = ^2C_1 / ^20C_1

          = (2! / 1!) / (20! / 19! 1!)

          = 2 / 20

          = 1/10

Find the probability of drawing a yellow marble

P ( Y ) = ^8C_1 / ^20C_1

          = (8! / 1! 7!) / (20! / 191 1!)

          = 8 / 20

          = 2 / 5

Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble

Both the probability is independent so,

P = P ( B ) X P ( Y )

  = 1/ 10 X 2 / 5

  = 1 / 25

Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

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The two positive numbers are 6 and 11

From the question, we understand that:

There are two positive numbers

Represent these numbers with x and y

So, we have the following equations

x = y - 5

6x - 3y = 3

Substitute x = y - 5 in 6x - 3y = 3

6(y - 5) - 3y = 3

Open the brackets

6y - 30 - 3y = 3

Evaluate the like terms

3y = 33

Divide by 3

y = 11

Substitute y = 11 in x = y - 5

x = 11 - 5

So, we have

x = 6

hence, the numbers are 6 and 11

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Answer:

let no. be n

14+2n=0

2n=-14

n=-7

Answer:

For me, it always helps to break down equations like this. Divide it up into two separate parts.

4^2*4^2=x

4^2=16

Replace both 4^2 with 16

16*16=256

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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Answer:

Root 181

Step-by-step explanation:

         Using distance formula, we know that the answer will be the square root of 181. Unfortunately, this is not a perfect square, and it is prime, so that number will remain the same.

Distance Formula: \(\sqrt{(13-4)^{2} + (7+3})^2} = \sqrt{181}\)

Hope this helped!

Answer:

13 units.

Step-by-step explanation:

We can find distance between points by using the following formula:

\(\sqrt{(change in x)^2+(changeiny)^2}\)

The change in x is -5, and change in y is 12. Let's apply this to the formula.

\(\sqrt{(-5)^2+(12)^2}\). Evaluate this, and we get 13.

Hope this helped!

Answer:

11) C)

12) D)

13) B)

14) C)

Step-by-step explanation:

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Welcome to https://saigonstartravel.com/ Saigon Star Travel – Top Thương Hiệu Du Lịch Hàng Đầu Tại TP Hồ Chí Minh là Đơn vị tổ chức Tour du lịch trong nước & nước ngoài chuyên nghiệp, Dịch vụ Visa – Vé máy bay Nhanh chóng & Uy tín và Cho Thuê xe Du lịch từ 16-29-35-45 chỗ & Xe giường nằm Chất lượng.

The number of grams present in 0.54 moles of calcium is; 22 g

We are given;

Number of moles; n = 0.54 moles

Now, Molar mass of calcium is;

M = 40.1 g

Formula for number of moles is;

n = m/M

Where;

n is number of moles

m is mass in grams

M is molar mass

Thus;

0.54 = m/40.1

m = 40.1 × 0.54

m = 21.654 g

Approximately m = 22 g

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The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. What is multiple linear regression? Multiple linear regression is a regression method where the response variable is dependent on more than one independent variable. Multiple linear regression is an extension of linear regression, where one response variable is dependent on one independent variable. It helps to determine the nature of the relationship between dependent variables and independent variables in the form of linear equations. It is used to find out the relationship between variables and make predictions based on that relationship. Assumptions of multiple linear regression1. Linearity, It is assumed that the relationship between the independent variables and dependent variables is linear. This implies that as the value of the independent variable changes, the change in the dependent variable is constant.2. Independence, There should be independence among the observations. This implies that there should not be any relationship between the residuals of the observations.3. Homoscedasticity implies that the variance of residuals should remain constant across all levels of the independent variable.4. Multicollinearity, It is the condition where the independent variables are highly correlated with each other. If there is perfect collinearity, it will not be possible to obtain the estimates of regression coefficients.5. Normality, The residuals should follow a normal distribution with mean zero and constant variance. The residuals should be normally distributed and centered on zero. The assumptions that are true for multiple linear regression are: The independent variables are not correlated. The residuals are normally distributed. The relationship between dependent and independent variables is linear. The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. Hence, the correct option is D) There will be a multi-collinearity effect.

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To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

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The vertex and range are (-2, -3) and y >= -3 respectively

The equation is given as:

y = |x +2| - 3

The above equation is an absolute value equation

An absolute value equation is represented as:

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-2, -3)

Also, we have

a = 1

Since a is positive, then the vertex is a minimum

Hence, the vertex and range are (-2, -3) and y >= -3 respectively

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The problem represents a linear equation.

What is linear equation?

A linear equation is a particular type of equation in which the highest power of the variable is always 1(linear). This type of equation is also known as a one-degree equation.

Larry is paid $10 per hour he receives a $1 per hour raise each year.

Let he works for x hours.

In 1 hour he receives $10 so for x hours he will receive $10x

$1 per hour raise.

So there will be a linear equation

The linear equation will be if we take total income as $y then,

y= 10x+1

which is of the linear equation form y=m x+ b where m is the slope.

Hence, the problem represents a linear equation.

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Answer: Circle 2

Step-by-step explanation:

If you show that angle 2 is equal to angle 3, then since angle 1 is equal to angle 2, angle 1 is equal to angle 3, which proves that the 2 lines are parallel.

(The wording is a bit weird sorry)

Answer:The square below represents one whole.

What percent is represented by the shaded area?

Step-by-step explanation:

Answer:

The baby lost 2 oz.

Step-by-step explanation:

Since he was just born he couldn't have gained or lose weight so the weight he gained is zero

0 + 2 = 2 (Gain of 2 oz)

2 - 6 = -4 (Loss of 4 oz)

-4 - 3 = -7 (Loss of 7 oz)

-7 + 5 = -2 (Loss of 2 oz)

In Listening 1.2, Miley Cyrus’ Wrecking Ball, identifying the difference in Verse, Chorus, and Bridge is quite easy.

The verse part of the song is the section that is generally sung in a lower key and can be regarded as the storytelling aspect of the song. The musical form or structure of the song, “Wrecking Ball” impacts the song's repeatability as it is designed to create a catchy, repeating theme that sticks in the listener's head.

Additionally, the predictability of the song's structure makes it easier for DJs to mix songs in clubs or at parties. My aesthetic response to the song is a bit mixed. This structure makes the song more engaging, and it is easy to get lost in the emotion of the song. Additionally, the repeating theme of the chorus makes it easier for the listener to sing along.

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