How many solutions exist for the given equation 12x 1 3 4x 1 2?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

A figure called an angle is one in which two rays originate from the same point. The two rays that make up the angle are referred to as its arms or sides, and this point is known as the angle's vertex. Reflex angles are those that are higher than 180 degrees but smaller than 360 degrees.

Types of Angles

Acute Angle – an angle that measure less than 90 degrees.

Right Angle – an angle which is exactly at 90 degrees.

Obtuse Angle – an angle whose value is greater than 90 degrees and less than 180 degrees.

Straight Angle – an angle which is exactly at 180 degrees.

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The measure of one of the other angles in the kite is equal to 101°

A kite is a quadrilateral which implies the sum of its interior angles is equal to 360°.A kite is symmetrical about its main diagonal and the angles where the adjacent pairs of sides meet are equal. It can be viewed as a pair of congruent triangles with a common base.

Considering one of the congruent triangles which consists of half the angles 50° and 108°, and one of the other angles in the kite.

Let x represent one of the other angles so that we evaluate for its measure as follows:

x + 54° + 25° = 180° {sum of interior angles of a triangle}

x + 79° = 180°

x = 180° - 79° {subtract 79° from both sides}

x = 101°

Therefore, the measure of one of the other angles in the kite is equal to 101°

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Answer:

The last option #4

Step-by-step explanation:

We are subtracting 8 from each number each time. 6-8=-2 -2-8=-10, and -10-8=-18. To find out that you subtract 8 subtract any 2 terms for example 30-22 from the sequence, and you will find your answer of 8. Then subtract 8 from 6, and the next terms after that and you will have your answer.

-Hope this helped & Happy New Year!

Equation systems that have the same solution are referred to as comparable systems. The similar expressions are -3(-0.05 + 0.25p) and 0.15 - 0.75p.

Thus, conceptually speaking, an equation is composed of two expressions. The equal sign establishes the equality of the two sides of the equation as expressions. A mathematical phrase called an equation is used to illustrate the relationship between two or more variables and numbers.

As a result:

The expression is simplified to: = -3(0.15 - 0.2 + 0.25p)

A further simplification results in:

= 0.15 – 0.75p

The similar expressions are -3(-0.05 + 0.25p) and 0.15 - 0.75p.

Equation systems that have the same solution are referred to as comparable systems. A system of two equations can be made into an equivalent system by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.

Therefore the correct answer is option B) 0.15 – 0.75p .

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The equation of line that passes through (4,2)

3x-4y-4 = 0

A line is a geometry object characterized under zero width object that extends on both sides. An straight line is just a line with no curves. So, a line that extends to both sides to infinity and has no curves is called an straight line.

Given,

Line l₁ passes through point (4,2)

Equation of the line l₁ passing through a point (x', y') ≡ (4, 2), if its slope is m₁:

y-y' = m₁(x-x')

y-2 = m₁(x-4)     --------- (a)

Line l₂ passes through the points (x₁, y₁) ≡(-2,2) and (x₂, y₂) ≡ (2,5)

Slope of line l₂ (m₂) = (y₂-y₁)/(x₂-x₁)

⇒m₂ = (5-2)/(2-(-2))

⇒m₂ = 3/4

since l₁ and l₂ are parallel

then slope of l₁ will be equal to l₂

⇒ m₁ = m₂

⇒ m₁ = 3/4

Putting value of m₁ in equation (a)

y-2 = 3/4(x-4)

⇒ 4y-8 = 3x-12

⇒ 4y+4 = 3x

⇒ 3x-4y-4 = 0

Hence, the equation of straight line is 3x-4y-4 = 0.

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d. dV/dt = -0.15V³ is a differential equation that could describe the relationship between the rate of change of the volume V with respect to time t of water leaking from a tank, and the cube of the volume.

A differential equation is an equation that relates a function and its derivatives. In this case, the function is the volume V of water in the tank, and the variable is time t. The problem states that the rate of change of the volume V with respect to time t is proportional to the cube of the volume. This means that the rate at which the volume is changing is directly proportional to the cube of the volume, and the proportionality constant is a negative number.

The differential equation that describes this relationship is dV/dt = -0.15V³, where dV/dt represents the rate of change of the volume with respect to time, and -0.15V³ represents the proportionality constant times the cube of the volume. The negative sign indicates that the volume is decreasing over time, as water is leaking out of the tank. This differential equation can be used to model the behavior of the water leaking from the tank, and can be used to determine the volume of water remaining in the tank at any given time.

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The upper half of data is the set above the median is 25,26,28,30 so,The median for the upper half of data  is 25,26,28,30 the upper or third quartile. In this case, the third quartile is 27.

To calculate the interquartile range (IQR), first compute the median (middle value) of the data’s lower and upper halves. These are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The IQR is the difference between quarters three and one.

The first quartile (Q1) is also known as the lower quartile. The second quartile, 50th percentile, or Median is denoted as: The second quartile (Q2) equals the ((n+1)/2)th term. The third quartile of the 75th percentile (Q3) is denoted as follows: The third quartile (Q3) is also known as the upper quartile. The interquartile range, which is a measure of variability around the median, is calculated using quartiles.

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If as a single taxpayer, jennifer's amti exemption would be $75,900 if her amti did not exceed $539,900.  the Alternative minimum tax income (AMTI) exemption is $24,100.

Using this formula to determine the Alternative minimum tax income (AMTI) exemption

Alternative minimum tax income (AMTI) exemption= AMTI exemption -(Current AMTI- Exceed AMTI )

Let plug in the formula

Alternative minimum tax income (AMTI) exemption=($639,900-$539,900)-$75,900

Alternative minimum tax income (AMTI) exemption=$100,000-$75,900

Alternative minimum tax income (AMTI) exemption=$24,100

Therefore  the Alternative minimum tax income (AMTI) exemption is $24,100.

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Answer: For a lower tail test, the p-value is the probability of obtaining a value for the test statistic as small as or smaller than that provided by the sample. For an upper tail test, the p-value is the probability of obtaining a value for the test statistic as large as or larger than that provided by the test statistic.

Step-by-step explanation:

The length of the second side is 10/3 inches or 3.33 inches. The triangle is a scalene triangle.

What is a variable?

A variable is a characteristic that can be measured and has multiple values. Variables include height, age, income, province or country of birth, school grades, and type of housing. Variables are divided into two types: categorical and numerical.

Given that the measure of the first side is 5 inches less than the second side. The third side is 3 inches more than the first side.

Assume that the length of the second side is x.

The length of the first side is x-5 inches

The length of the third side is (x-5) + 3 inches

= x - 5 + 3

= x - 2 inches.

The perimeter of a triangle is the sum of all sides of a triangle.

The perimeter of the triangle is x +( x-5) +  x - 2

According to the question,

x +( x-5) +  x - 2 = 17

Combine like terms:

(x+x+x) + (-5-2) = 17

3x - 7 =17

Add 7 on both sides:

3x = 10

Divide both sides by 3:

x = 10/3

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The required length of the truck if it is 15% longer than the car is  6.325ft

Given the following parameters in the question below

Length of car = 5.5 feet

If the truck is 15% longer than the length of the car, therefore the length of the truck is expressed as:

Length of truck = (100% + 15%) of 5.5ft

Length of truck = 115% of 5.5ft

Length of truck = 1.15 * 5.5

Length of truck = 6.325ft

Hence the required length of the truck if it is 15% longer than the car is  6.325ft.

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The inequality will be written as 80≤x≤90. The correct option is A.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that Suzie wants her grade in the class to be a B which means her average must be at least an 80 and less than 90.

The inequality that can represent the number range between 80 to 90 is,

E = 80≤x≤90.

Therefore, the inequality will be 80≤x≤90.

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By substituting the limits of integration and solving the definite integral, the volume of the solid is approximately 3.57 cubic units.

What is integration ?

Integration is a fundamental concept in calculus that deals with the problem of finding the total change in a quantity over a given interval. It is the reverse process of differentiation, which deals with finding the rate of change of a quantity.

We can think of slicing the solid into thin horizontal slices, each parallel to the y = 0 plane. The cross-section of each slice with the elliptic cylinder will be an ellipse. The area of each ellipse can be calculated using the formula for the area of an ellipse, which is πab, where a and b are the semi-major and semi-minor axes of the ellipse.

The semi-major axis of the ellipse is 2, and the semi-minor axis is √(4 - 4x^2) = √(4(1 - x^2)) = 2√(1 - x^2). So the area of each slice is A(x) = π(2)(2√(1 - x^2)) = 4π√(1 - x^2)

The height of each slice is dy = dz = dx, since the slices are parallel to the y = 0 plane and the height of each slice is equal to the change in y or z between two consecutive slices.

So, the volume of the solid is ,

∫ (4π√(1-x^2)) dx from x = -1/2 to x = 1/2

By substituting the limits of integration and solving the definite integral, the volume of the solid is approximately 3.57 cubic units.

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The 2nd relation is a function out of the given graph function.

The set of ordered pairs (x, y) where f(x)=y makes up a function's graph in mathematics. These pairs, which are Cartesian coordinates of points in two-dimensional space and thus constitute a subset of this plane in the typical case where x and f(x) are real numbers, are examples of real numbers.

Instead of the pairs ((x,y),z) as in the definition above, the graph in the context of functions of two variables, i.e. functions whose domain consists of pairs (x,y), typically refers to the set of ordered triples (x,y,z) where f(x,y)=z. For a continuous real-valued function of two real variables, this set is a surface. It is a subset of three-dimensional space.

Graphs are useful tools for a variety of tasks in science, engineering, technology, finance, and other fields.

A Set of points in a plane is the graph of a function if & only if no vertical line intersects the graph in more than one point

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Answer: 3

Step-by-step explanation:

I do not have time to explain but next time GET YOU A CALCULATOR and read.

Answer: 35 in tall

Step-by-step explanation: 9 x 7 = 63, so therefore 5 x 7 = 35

Answer:

The answer would be 2 1/2 of a chicken for 6.25

The vertex angle of isoceles triangle is twice either base angle is a true statement. Isosceles triangle is a triangle which has two sides of equal length or value.

What is isosceles triangle in detail?

Isosceles triangle is a triangle that has two side of same value. It is mean that isosceles triangle has to fulfill this condition :

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Here is a set of directions on how to walk from the schoolhouse to the grocery store: walk 5 units west and 12 units north.

To travel from the schoolhouse to the grocery store, find the distance between each point horizontally and vertically.

To find the horizontal distance between the schoolhouse and the grocery store on a coordinate plane, find the difference between the x-values of the two points.

x-distance = |4 - (-1)| = 5

Since the direction is from right to left, it should be 5 units west.

To find the vertical distance between the schoolhouse and the grocery store on a coordinate plane, find the difference between the y-values of the two points.

y-distance = |-5 - (7)| = |-12| = 12

Since the direction is upwards, it should be 12 units north.

Hence, one should walk 5 units west and 12 units north to get to the grocery store from the schoolhouse.

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The function f(x) = x + 1 has a greater value when x = 2 than the linear function g(x), as it is an increasing linear function.

The function f(x) = x + 1 has a greater value when x = 2 than the linear function g(x). To prove this, we can calculate the two values:

f(2) = 2 + 1 = 3

g(2) = a * 2 + b (where a and b are constants)

Since a and b are constants, the value of g(2) will remain the same regardless of the value of x. Therefore, since the value of f(2) is greater than the value of g(2), we can conclude that f(x) has a greater value when x = 2 than the linear function g(x).

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If the function f(x) = x + 1 and the linear function g(x) , then both the functions f(x) and g(x) have the same value when x = 2 .

The function f(x) is given as : f(x) = x + 1 ,

and a graph of a linear function is also given .

From the graph we can see that when x = 2 , the value of g(x) = 3 ,

Next need to find the value of f(x) at 2 ,

So ,we substitute x = 2 in f(x) = x+1 ,

we get ,

f(2) = 2 + 1 = 3 .

On comparison we get that , the value of f(x) at x=2 is equal to value of g(x) at x=2 .

Therefore , The functions f(x) and g(x) have same value at x=2 .

The given question is incomplete , the complete question is

Given the function f(x) = x + 1 and the linear function g(x) ; (graph is given below ) , which function has a greater value when x = 2 ?

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The statement when the blanks are completed is

From the question, we have the following parameters that can be used in our computation:

∆ABC has A(-2, 5), B(-4, -2), and C(3, -4) as its vertices

The lengths are then calculated as

length = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, we have the following representations

AB = √[(-4 + 2)² + (-2 - 5)²] = √53

AC = √[(3 + 2)² + (-4 - 5)²] = √106

BC = √[(3 + 4)² + (-4 + 2)²] = √53

This means that the triangle is a right triangle

Because  √106 =  √53√2

So, we have

<ABC = 90 degrees (right angle)

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Answer:

Option A ( 86 Degrees)

Step-by-step explanation:

To convert Celsius to Fahrenheit formula is:

[tex]F = \frac{9}{5} C + 32[/tex]

[tex]F = \frac{9}{5} 30 + 32[/tex]

[tex]F = 54 + 32[/tex]

[tex]F = 86 Degree[/tex]

The three points that are in the solution set are E(3,0) F(5,-4)

Plotting graphs?

When plotting graphs, you typically use a set of Cartesian coordinates to specify the location of each point on the graph. The Cartesian coordinates, also known as rectangular coordinates, consist of an x-coordinate and a y-coordinate. The x-coordinate specifies the position of the point along the horizontal axis, also known as the x-axis, and the y-coordinate specifies the position of the point along the vertical axis, also known as the y-axis.

To determine which of the six points are a solution to the equation

2x + y = 6, we can substitute the x and y values of each point into the equation and see if it holds true.

The points are A (1, -6), B (7, -3), C (-1, 8), D (3, -5), E (3, 0), F (5, -4)

A = (1, -6), 2x+y = 21 + -6 = 6 , it is not a solution

B = (7,-3) , 2x+y = 27 + -3 = 6 , it's not a solution

C = (-1,8) , 2x+y = 2*-1 + 8 = 6 , it's not a solution

D = (3,-5) , 2x+y = 23 + -5 = 6 , it is not a solution

E = (3,0) , 2x+y = 23 + 0 = 6, it's a solution

F = (5,-4) , 2x+y = 2*5 + -4 = 6, it's a solution

So, the three points that are in the solution set are E(3,0) F(5,-4)

We can plot the points on a coordinate plane, with x on the horizontal axis and y on the vertical axis.

And connect all three points, which would result in a line.

You can label this line as 2x+y=6, and any point that lies on that line is a solution for the given equation.

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The price of a watermelon at a fruit stand goes up 7 cents each month. The first month the stand was open, a watermelon cost $1. 25, then the cost of a watermelon in the 30th month will be $4.45

In the 30th month, the cost of watermelon will be $4.45.

To calculate this, you must multiply the initial cost of $1.25 by the number of months since the stand opened (30). That gives us $37.50. Then, add the total amount of cents that have been added each month

7 cents x 30 months = 210 cents

This brings the total up to $4.45.

Therefore, after 30 months, the cost of a watermelon at the fruit stand will be $4.45.

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The equation that allows Ivanna to take the square root of both sides to find the value of x is ax² + bx + c = 0.

This is known as the standard form of a quadratic equation, and it can only be solved by taking the square root of both sides. After taking the square root, Ivanna would be left with two equations, one containing the positive root of the equation and one containing the negative root. The positive root would be the value of x that Ivanna is looking for.

Therefore Ivanna have to take the square root of both sides to find the value of x is ax² + bx + c = 0.

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The solution to the system of equation is x = 2 and y = 5

From the question, we have the following parameters that can be used in our computation:

5x-y=5 -x+3y=13

Express properly

5x - y = 5

-x + 3y = 13

Multiply -x + 3y = 13 by 5

-5x + 15y = 65

Add the equations 5x - y = 5  and -5x + 15y = 65

14y = 70

Divide by 14

y = 5

So, we have

-x + 3 * 5 = 13

Evaluate

x = 2

Hence, the value of x is x = 2 and the value of y is y = 5

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Answer:

The slope of the line is -2. (m = -2)

Answer:10

Step-by-step explanation:

20/100x98

20/100=0.2

0.2x98=10

Answer: 10

Step-by-step explanation: 20 percent of 50 can be written as

20% x 50= 20/100 × 50= 10

The  critical value that should be used in constructing the confidence interval is 1.764≤μ≤2.636

The given parameters to help us understand this are

The sample size = 19

The sample mean is 1.4

The sample standard deviation is 0.7

The confidence level = 90% = 0.90

The level of significance  = 0.10

The degree of freedom

Df= n-1

The critical value of t using TINV(0.10.11) is

Critₓ = α/2 d.f

t= (0.5,11) = ±1.76

The confidence interval μ = 1.4 ± [(1.796)(0.70)]/√19

Therefore this is equal to 0.76≤μ≤0.04

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