Select the compound inequality that does not belong with the other three.


a>4 or a 8

a>7 or a −9

Answer:

Step-by-step explanation:

2 numbers that differ by 3 and have a product of 88 are 11 and 8.

Let's say that the very first figure is x and the next is y.

x - y = 3 -----> y=x-3 .........(i)

xy=88 .......(ii)

Substitute (i) to (ii)

xy=88

x(x-3)=88

x\(x^{2} - 3x = 88\\x^{2} - 3x - 88 = 0\)

(x+8)(x-11)=0

x+8=0 or x-11=0

x=-8 or x=11

Substitute x=-8 to (i)

y=x-3

y=-8-3=-11

Substitute x=11 to (i)

y=x-3

y=11-3=8

Thus, x = -8 and y =- 11 or x = 11 and y = 8

2 numbers that differ by 3 and have a product of 88 are 11 and 8.

A 2nd equation with the form ax2 + bx + c = 0 denotes a quadratic equation, where a, b, and c are real-number coefficients and a 0.  For instance, if school administration decides to build a chapel with a floor size of 400 sq metres and a length that is two meters longer than its width, we will need the aid of a quadratic equation to determine the length and breadth. 

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There are four 1/4’s per hour

Multiply the miles by 4:

15 3/4 x 4 = 63 miles per hour

So the equation for the tangent plane to the surface at the point (11, 5, 1) is 5x + 11y + 55z = 81

To find the equation for the tangent plane to the surface at the point (11, 5, 1), we need to first find the normal vector to the surface at that point.

The gradient of the level surface f(x, y, z) = 0 is given by grad f = yzi xzj xyk. This means that the partial derivative of f with respect to x is yz, the partial derivative with respect to y is xz, and the partial derivative with respect to z is xy.

So at the point (11, 5, 1), the gradient is:

grad f = (5*1)i + (11*1)j + (11*5)k
      = 5i + 11j + 55k

This is the normal vector to the surface at the point (11, 5, 1).

Now we can use the point-normal form of the equation for a plane:

ax + by + cz = d

Substituting in the values we have:

5x + 11y + 55z = d

To find d, we use the coordinates of the point (11, 5, 1) that the plane passes through:

5(11) + 11(5) + 55(1) = d
d = 81

So the equation for the tangent plane to the surface at the point (11, 5, 1) is: 5x + 11y + 55z = 81

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

y = -X + 3

Step-by-step explanation:

X + Y = 3

Y = -X + 3 (in the form of Y = mX + c, where m is the gradient of the graph and c is the y intercept of the graph)

Through observation,

gradient = -1

y-intercept = 3

Answer:

The roots of the equation
\(x^{3}-10x^{2}+31 x-30 = 0\)

correspond to the x-intercepts of the function graph

Step-by-step explanation:

The roots of the equation
\(x^{3}-10x^{2}+31 x-30 = 0\)

are x = 2, x = 3, x = 5

which are located at points (2, 0), (3, 0), (5,0)

These points are the x-intercepts of the graph of the equation
So the x-intercepts of the equation are the roots of the equation

I have graphed this using Geogebra which I am familiar with. You should probably use Desmos as per the instructions

Answer:

12

Step-by-step explanation:

Legs of 45-45-90 are equal so 4x-12=x+6.

3x=18, x=6

Plug back in and the length is 12

As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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Answer:

43560 I think

Step-by-step explanation:

20 x 11 x 11 x 18

Standard form of ellipse has equation \(\frac{y^2}{a^2} +\frac{x^2}{b^2} =1\) where, a and b are the halves of the length of major and minor axis respectively.

Given that,

Length of major axis(2a)=6.

So

a=6/2

 =3

Length of minor axis(2b)=4.

So

b=4/2

 =2

Putting in equation of standard ellipse. We get

\(\frac{y^2}{3^2} +\frac{x^2}{2^2} =1\)

After simplifying

4y² + 9x² = 36

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It is known that the radius is half the diameter of the circle so it follows:

1. For d=16 meters it follows:

The radius is 8 meters.

2. For d=4 centimeters it follows:

Hence the radius is 2 centimeters.

Answer:

1. 2x

2. 22

Step-by-step explanation:

question 1

f(x)-g(x)

5x-3-(3x-3)

5x-3-3x+3

5x-3x-3+3

2x+0

2x

question 2

f(x)=y

f(-4)= -5(-4)+ (-4/-2)

= 20 + 2

=22

Answer:

9x + x

Step-by-step explanation:

The equation g(x) = |-x-3| + 2 would reflect the function over the y-axis.

The required value of f(3) is 10.

Reflection across the y-axis is defined as reflecting a point across they = x,  the x-coordinate, and y-coordinate places, the line y = -x is the coordinates (-x, y).

So reflected across the y-axis: f(x) → f(-x),

⇒ (x,y) → (-x , y)

As per the given question,

f(x) = |x-3| + 2

f(-x) = |-x-3| + 2 = g(x)

Thus, the equation g(x) = |-x-3| + 2 would reflect the function over the y-axis.

The function f(x) is given in the question,

f(x) = 4x - 2,

To determine the value of f(3)

Substitute the value of x = 3 in the given function,

f(3) = 4(3) - 2

f(3) = 12 - 2

f(3) = 10

Thus, the required value of f(3) is 10.

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the base-ten representation for 19! = 121,6T5,100,40M,832,000 then

H+M+T =12

19! has three 5s so it will end with three 0s.

Hence H = 0

19! = 121,6T5,100,40M,832,000 = 121,6T5,100,40M,832 * 1000

19! has many 2s. So M832 will be divisible by 16 (last 4 digits).

So M000 + 832 is divisible by 16. 832 is completely divisible by 16. Since 16*5 = 80, 8000 must be divisible by 16.

M = 8

19! = 121,6T5,100,408,832,000

Since 19! is divisible by 9, sum of all digits must be divisible by 9.

1+2+1+6+T+5+1+4+8+8+3+2 = T + 41

To make this divisible by 9, T must be 4.

H+M+T = 0 + 8 + 4 = 12

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the last one is- 5/6  0.8333 %0.8333

3/5   0.6  %0.6

1/5  0.2   %0.2

1/4 0.25 %0.25

Hope this helps you!! :)

the role of the seed value in a random number generator is to initialize the internal state of the generator and serve as the basis for the calculated pseudorandom numbers produced by the algorithm.

The seed value of a random number generator is an important input that determines the sequence of numbers generated by the generator. In particular, the seed value serves as the basis of the calculated pseudorandom numbers produced by the generator.

A pseudorandom number generator is a deterministic algorithm that produces a sequence of numbers that appear to be random, but are actually generated using a mathematical formula or algorithm. The sequence of numbers produced by the generator is not truly random, but is instead a sequence that is determined by the seed value and the algorithm used to generate the numbers.

When a seed value is provided to a pseudorandom number generator, it is used to initialize the internal state of the generator. This internal state is used by the generator to produce the sequence of pseudorandom numbers. Different seed values will result in different sequences of numbers, even when the same algorithm is used.

The seed value does not determine the maximum or minimum values that can be generated by the generator. Instead, the range of values that can be produced is determined by the algorithm used to generate the numbers. The seed value only affects the sequence of numbers produced by the generator.

In summary, the role of the seed value in a random number generator is to initialize the internal state of the generator and serve as the basis for the calculated pseudorandom numbers produced by the algorithm. The seed value does not determine the maximum or minimum values that can be generated, but only affects the sequence of numbers produced by the generator.        

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The correct definition for the term "Circular flow diagram" is a diagram that pictures the economy as consisting of four main sectors that interact with each other through different markets, and in which financial institutions help to facilitate some of the interactions.

A circular flow diagram is a visual representation of how money, goods, and services flow within an economy. It illustrates the interconnectedness of various sectors in the economy, including households, firms, government, and the foreign sector. The diagram shows the flow of money and goods between these sectors through different markets such as the product market and the factor market. It demonstrates how households supply factors of production (such as labor) to firms in exchange for income, and how firms supply goods and services to households in exchange for revenue. Additionally, the circular flow diagram highlights the role of financial institutions in facilitating the flow of funds between sectors, such as banks providing loans to businesses. Overall, the circular flow diagram provides a simplified representation of the economic interactions and relationships between different sectors in an economy.

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A simple two-interval forced choice target detection task is used to test perceptual abilities, whereas task-switching tasks are used to test cognitive flexibility.

In a simple two-interval forced choice target detection task, participants are typically presented with two intervals, each containing a stimulus. They are then asked to identify which interval contains the target stimulus. This task assesses the participant's ability to detect and discriminate between different stimuli.

On the other hand, task-switching tasks involve participants switching between different tasks or sets of instructions. These tasks require cognitive flexibility, as individuals need to quickly switch their attention and cognitive resources between different tasks. Task-switching tasks are commonly used to investigate cognitive control processes, such as the ability to inhibit previous task sets and shift attention to new task sets.

To summarize, a simple two-interval forced choice target detection task is used to test perceptual abilities, while task-switching tasks are used to test cognitive flexibility.

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3.1. The data table depicts a collection of organized data. 3.2. The sections of the table represent column headers, row headers, data cells, totals/summary rows and columns, and footnotes/references.

3.1. This table depicts a collection of data organized into different sections.

3.2. Each section of the table represents specific information or categories related to the data being presented. Here are five points explaining what each section stands for:

Column Headers: The column headers provide the names or labels for each column in the table. They identify the type of information or variables being presented in each column.

Row Headers: The row headers provide the names or labels for each row in the table. They often represent different entities or categories associated with the data.

Data Cells: The data cells contain the actual values or measurements for each intersection of a row and column. They represent the specific data points or observations related to the corresponding row and column.

Totals/Summary Rows and Columns: These rows or columns are typically located at the bottom or rightmost side of the table. They display the aggregated values or summaries of the data in the corresponding column or row.

Footnotes/References: The footnotes or references section may appear below the table and provide additional information or explanations related to the data presented in the table. They can clarify any specific details, sources, or assumptions made in the table.

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Answer:

21 316/729

Key rules to solve:

Step-by-step explanation:

\(\left(\frac{2-1}{2\cdot \:7\frac{1}{3}}\right)^6\)

\(=\left(\frac{2-1}{2\cdot \frac{22}{3}}\right)^6\)

\(=\frac{\left(2-1\right)^6}{\left(2\cdot \frac{22}{3}\right)^6}\)

\(=\frac{1}{\left(2\cdot \frac{22}{3}\right)^6}\)

\(=\frac{1}{\frac{7256313856}{729}}\)

\(\rightarrow 21 \frac{316}{729}\)

Answer:

Here is the answer

And I have a problem

Step-by-step explanation:

Answer:

5 cans

Step-by-step explanation:

if each can is 2 dollars then you can divide that amongst 10 dollars to find that you can buy 5 cans

The number of cans you can buy for $2 is 5.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that You can buy one can of pineapple chunks for $2

We need to Find out how many can you buy with $10

Let x be the number of cans

Using proportion;

1/2 = x/10

x = 10/2

x =5

Hence, the answer is 5 cans.

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Answer:

(5):  Missing side:  x = 13.9

(6):  Missing side:  x = 8.5

(7):  Measure of indicated angle: ? = 46°

(8):  Measure of indicated angle:  ? = 35°  

Step-by-step explanation:

Because all four triangles are right triangles, we're able to find the side lengths and angles using trigonometry.

(5):  When the 44° is the reference angle:

Thus, we can find x using the cosine ratio, which is given by:

cos (θ) = adjacent / hypotenuse, where

Thus, we plug in 44 for θ, 10 for the adjacent side, and x for the hypotenuse and solve for x:

(cos (44) = 10 / x) * x

(x * cos (44) = 10) / cos (44)

x = 13.90163591

x = 13.9

Thus, x is about 13.9 units.

(6):  When the 23° angle is the reference angle:

Thus, we can find x using the tangent ratio, which is given by:

tan (θ) = opposite / adjacent, where

Thus, we plug in 23 for θ, x for the opposite side, and 20 for the adjacent side and solve for x:

(tan (23) = x / 20) * 20

8.489496324 = x

8.5 = x

Thus, x is about 8.5 units.

Since problems (7) and (8) require to find angles in a right triangle, we will need to use inverse trigonometry.

(7):  When the unknown (?) angle is the reference angle:

Thus, we can find the measure of the unknown (?) angle in ° using the inverse sine ratio which is given by:

sin^-1 (opposite / hypotenuse) = θ, where

Thus, we plug in 25 for the opposite side and 35 for the hypotenuse to solve for θ, the measure of the unknown angle:

sin^-1 (25 / 35) = θ

sin^-1 (5/7) = θ

45.5846914 = θ

46 = θ

Thus, the unknown angle is about 46°.

(8):  When the unknown (?) angle is the reference angle:

Thus, we can find the measure of the unknown (?) angle in ° using the inverse cosine ratio which is given by:

cos^-1 (adjacent / hypotenuse) = θ, where

Thus, we plug in 23 for the adjacent side and 28 for the hypotenuse to solve for θ, the measure of the unknown angle:

cos^-1 (23 / 28) = θ

34.77194403 = θ

35 = θ

Thus, the measure of the unknown angle is about 35°.

Answer:x=9

Step-by-step explanation:

-2x+3=-15

Subtract 3 on both sides:

-2x+3-3=-15-3

-2x=-18

Divide -2 on both sides:

-2x/-2=-18/-2

x=9

If the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.

Given is the equation as follows -

- 2x + 3 = - 15

The given equation is -

- 2x + 3 = - 15

Solving, we get -

- 2x = - 15 - 3

- 2x = - 18

 2x = 18

 x = 9

Therefore, if the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.

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The 8 fluid ounces(oz) of water is equivalent to 236.588 milliliters.

To convert 8 ounces (oz) to milliliters (ml), we need to know the density of the substance. The conversion factor will vary depending on what we are measuring. Here are some common conversion factors:

1 fluid ounce of water weighs 29.5735 grams, which is equivalent to 29.5735 ml.

1 fluid ounce of milk weighs 30 grams, which is equivalent to 28.4131 ml.

1 fluid ounce of honey weighs 21 grams, which is equivalent to 20.0784 ml.

For example, let's say we want to convert 8 fluid ounces of water to milliliters. We know that 1 fluid ounce of water weighs 29.5735 grams, and that 1 milliliter of water also weighs 1 gram (since water has a density of 1 g/mL). Therefore, we can use the following formula to convert 8 fluid ounces of water to milliliters:

8 oz x 29.5735 g/oz x 1 mL/1 g = 236.588 ml

So 8 fluid ounces of water is equivalent to 236.588 milliliters.

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