(6 × 10a) + (6 × 10b) + (6 × 10c) = 6006.6
Write down a possible set of values of a, b and c.

Answer:

I hope this helps. Let me know if you have any doubts. Have a nice day!!

The equation has one solution.

A value of x that makes the equation true is 6 which when substituted into the equation and simplified makes the equation turn into x = 0.

A value of x that makes the equation false is 8 which when substituted into the equation and simplified makes the equation turn into x = 2.

From the information provided, we have the following equation:

x - 6 = 6 - x

Rearranging the equation by collecting like terms, we have the following solution:

x + x = 6 + 6

2x = 12

x = 12/2

x = 6

Substituting the value "6" into the equation, we have the following solution;

x - 6 = 6 - 6

x - 6 = 0

Assuming x = 8, we have the following solution;

x - 6 = 8 - 6

x - 6 = 2

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Complete Question:

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.

x - 6 = 6 - x

The equation has _____.

A value of x that makes the equation true is ___ which when substituted into the equation and simplified makes the equation turn into ____.

A value of x that makes the equation false is ___ which when substituted into the equation and simplified makes the equation turn into ___.

Answer:

It is not possible to find the greatest common factor of 3x.

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest number that divides into all of the numbers in the set.

In this case, you have provided a variable, 3x, and not a set of numbers. Therefore, it is not possible to find the greatest common factor of 3x.

If you have a set of numbers that you would like to find the greatest common factor of, please let me know and I will be happy to help.

[tex]4r + 14 - r - 6[/tex]

Combine Like Terms:

[tex](4r-r)+(14-6)[/tex]

[tex]=\fbox{3r + 8}[/tex]

The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

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The remainder of the given division 5884/ 94 is 56 and hence the complete sentence is 5884/94 = 62 + 56/94.

The amount that remains after division is complete is known as a remnant. Simply divide the number by another number that is one of its multiples to obtain the remainder.

The division of any number can be written as follows:

a/n = q + r/n

where, a is the dividend, n is the divisor, r is the remainder and q is the quotient.

When we divide the number 5884 by 94 using the long division method the quotient is 62 and the remainder is 56.

Hence, the complete sentence is 5884/94 = 62 + 56/94.

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Answer: To replace the three steps with a ramp, the height of the ramp must be equal to the total height of the steps. Since each step is 10 cm high, the total height of the three steps is 3 * 10 = 30 cm.

The length of the ramp must be equal to the length of the steps, since the ramp is replacing them. Since each step is 35 cm long, the total length of the three steps is 3 * 35 = 105 cm.

So the length of the ramp to replace the three steps leading to the front door is 105 cm, correct to one decimal place.

Step-by-step explanation:

so, we can say that therefore, the sample of 20 cheerleaders used for the study provides the solution to the issue.

A sample is a controlled, abridged version of a bigger group. It is a demographic subset containing characteristics from a larger population. Samples are used in statistical testing when population sizes are too large to accommodate all prospective participants or observers in the experiment.

The 20 cheerleaders that are used as a sample for this study are.

Explanation: Because only 20 cheerleaders were chosen from high schools in California for the research of the banana influence on speed and endurance, the sample available was limited to those 20 cheerleaders. As a result, the sample's results were based on those 20 cheerleaders.

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Answer:

A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. This ratio is called the common ratio of the sequence.

In this case, the common ratio is 3/2 and the first term is 6. The nth term of a geometric sequence can be found using the formula:

a_n = a_1 * r^(n-1)

where a_n is the nth term, a_1 is the first term, and r is the common ratio.

Substituting the given values, we have:

a_8 = 6 * (3/2)^(8-1) = 6 * (3/2)^7

Calculating, we find that the 8th term is:

a_8 = 6 * (3/2)^7 = 6 * (9/2) = 27

Therefore, the 8th term is 27.

Step-by-step explanation:

Answer:

$50.25

Step-by-step explanation:

7.5% as a decimal is 0.075.

So, the fee is [tex](0.075)(670)=\$50.25[/tex].

AM is a perpendicular bisector of BC.

A ray that divides an angle into two equal parts is known as an angle bisector or the bisector of an angle. For instance, each measurement will be equal to 30 degrees if ray AX divides an angle of 60 degrees into two equal parts. There is an angle bisector for each angle.

To divide a segment or an angle into two congruent parts is to bisect it. The midpoint of a line segment will be traversed by its bisector. A line segment's perpendicular bisector is parallel to the line segment and passes through its midpoint.

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The function f'(x) = x² - 2 - 3xcosx is decreasing on (- 4, - 3) and (- 1, 1).

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f'(x) = x² - 2 - 3xcosx.

We know a function f(x) is decreasing if f'(x) is < 0.

Therefore,

x² - 2 - 3xcosx < 0.

x² - 3xcosx < 2.

x(x - 3cosx) < 2.

Now, 3cosx can be [- 3, 3].

x(x - 3) < 2 and x(x + 3) < 2.

x < 2 Or x - 3 < 2 and x < 2 or x + 3 < 2.

x < 2 Or x < 5 and x < 2 or x < - 1.

But x should be in [- 4, 1], Therefore it is decreasing at (- 4, - 3) and (- 1, 1).

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The point (5,5/3) also lies on the line.

A point (x, y) is located on a line with slope m if and only if it satisfies the equation:

y = mx + b

where b is the y-intercept of the line. In this case, we know that the point (3, 1) is located on the line, so we can use the information to find the value of b and then write the equation of the line in slope-intercept form.

The y-coordinate of the point (3, 1) is 1, so we can substitute this into the equation and solve for b:

1 = (1/3) * 3 + b

This simplifies to:

1 = 1 + b

so, b = 0

So, the equation of the line is

y = 1/3 * x +0

Now we can use this equation to find the coordinates of any point that lies on the line. So any point (x, y) that satisfies this equation could also be located on the line.

For example, we can pick any x, calculate corresponding y.

x=5, y=5/3

So point (5,5/3) also lies on the line.

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Answer: To find the value of g(2+h)-g(2) divided by h, we can use the definition of the derivative. The derivative of a function at a point is a measure of the slope of the function at that point, and it can be calculated by taking the limit of the difference quotient as h approaches 0.

The difference quotient is defined as:

[g(2+h) - g(2)] / h

So, to find the derivative of g at x=2, we can substitute the value of x in the function g(x) and take the limit as h approaches 0:

lim h→0 [g(2+h) - g(2)] / h

Substituting the value of x in the function g(x), we get:

lim h→0 [(2+h)³ - 2(2+h) - (2² - 2*2)] / h

This simplifies to:

lim h→0 [8+6h+h²-2h - 4] / h

Which simplifies to:

lim h→0 [h²+6h+4] / h

And, finally:

lim h→0 [h(h+6)] / h

The limit of a quotient is equal to the quotient of the limits, as long as the limit of the denominator is not 0. In this case, the limit of the denominator (h) is 0, but the limit of the numerator (h(h+6)) is not. Therefore, we can safely take the limit:

h+6

So, the derivative of g at x=2 is h+6. When h=0, the derivative is equal to the function's value at that point, so the value of g(2) is 6.

Therefore, the value of g(2+h)-g(2) divided by h is:

(h+6) - 6 / h

Which simplifies to:

h / h

Which is equal to:

1

So, the final answer is 1.

Step-by-step explanation:

Exterior angle of triangle x has a value of 135 in this sentence.

A protractor can be used to measure angles precisely. Angles are measured in degrees, hence the term "degree measure." Since one full revolution is equivalent to 360 degrees, it is divided into 360 segments.

According to the "sides of a triangle rule," any two sides of a triangle must add up to be longer than the third side.

By extending one side of the triangle, an external angle is formed. An exterior angle is the angle formed by the stretched side and the side that is immediately adjacent.

Practice. Triangle Angle Measurement

via the triangle's external angle characteristic, x = 105 + 30 = 135.

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The length of segments TA and TB are both 4 cm.

To solve this problem, we can use the properties of circles and the relationship between the radius and the diameter.

Since the radius of the circle with center T is 4 cm, the diameter of this circle is 2 * 4 = 8 cm.

Since the length of segment ST is 9 cm, the diameter of the second circle is also 9 cm.

Since the radius of the circle with center T is 4 cm, the radius of the second circle is also 4 cm.

Since the two circles intersect at points A and B, the segments TA and TB are equal in length.The length of segment TA and TB is the radius of the second circle, which is 4 cm.

Therefore, the length of segments TA and TB are both 4 cm.

The figure is attached

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Answer:

-2

Step-by-step explanation:

To find the slope, subtract y1 - y2, then divide by x1-x2

The y numbers in this set is -10 & 8

The x numbers in this set is 9 & 0

-10-8= -18

9-0 = 9

-18/9 = -2

The slope would be -2

To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.

-1 on the left x-axis and 4 on the right y-axis.

Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.

step 1: ascend the y-axis six times.

Step 2: Use 4/1 to increase from the y-4 axis's by 1  to the right

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Note that equation 1 matches the Line Graph in option (B), equation 2 matches option (C), and equation 3 matches option (A).

It is a graph that depicts a line connecting many points or a line indicating the relationship between the points. The graph depicts quantitative data between two changing variables by connecting a sequence of succeeding data points with a line or curve.

With regard to the above-given graphs,

The inequalities are given as

1. 4x + 3 > 15 or —6x ≥ 12

2. —8x > —24 and —10 ≤ 2x -6

3. -29 ≤ 9x -2 < 16

Note that the way to identify the plots on the line graphs is by solving the above equations.

1) 4x + 3 > 15 or —6x ≥ 12

2) —8x > —24 and —10 ≤ 2x -6

To solve for x in  —8x > —24, divide both sides by -8

x > 3;

So solve for —10 ≤ 2x -6; add 6 from both sides and divide by 2

-4/2 ≤ x

-2 ≤ x  or x ≥ -2

3) -29 ≤ 9x -2 < 16

To solve this inequality, you can start by isolating the variable on one side of the inequality. To do this, you can add 2 to both sides to get:

-29 + 2 ≤ 9x < 16 + 2

-27 ≤ 9x < 18
Now divide both sides by 9 to get:

-3 ≤ x < 2

This means that x can be any number that is greater than or equal to -3 and less than 2.

Given the above results, it is correct to state that equation 1 matches option (B), equation 2 matches option (C), and equation 3 matches option (A).

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Full Question:

See the attached.

The rate of the plane in still air is 800 km/h while the rate of the wind is 210 km/h

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the speed of the airplane in still air and y represent the speed of the wind.

Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Hence:

x - y = 4720 km / 8 hr

x - y = 590    (1)

Flying with the wind, the same plane travels 4040 kilometers in 4 hours. Hence:

x + y = 4040 km / 4 hr

x + y = 1010    (2)

From both equations:

x = 800, y = 210

The speed of the airplane is 800 km/h

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Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.

given

Rewrite the above expression as:

[tex]2ab\sqrt[3]{3*4^{3} *ab^{2} } - 5\sqrt[3]{3*3^{3} * a^{4}b^{5} }[/tex]

Evaluate the cube roots

[tex]2ab {4\sqrt[3]{3ab^{2} } } - 5 {3ab\sqrt[3]{3ab^{2} }[/tex]

Evaluate the differences

-7ab(2√3ab²)

Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)

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Answer:

4 inches is the radius

Step-by-step explanation:

On solving the provided question, we can say that 50 will therefore be the missing number in the odd numbers 2 5 10 x 2637.

A number that is odd is one that can't be partitioned flawlessly into matches. One remains after dividing an odd number by two. The numbers 1, 3, 5, 7, 9, 11, 13, and 15 are consecutively odd. While odd numbers cannot be divided in half, even numbers can. 3, 5, 7, 9, 11, 13, and 15 are unusual cases. Even numbers include 2, 4, 6, 8, 10, 12, and 14.

According to the given question:

Following the numbers 3, 5, 7, 9, 11, and 13, which are all odd numbers, the provided series moves on to 13.

Therefore,

After 37, there will be a break before 50.

50 will therefore be the missing number.

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On solving the provided question, we can say that in this function f(x) = /16/1224 x^2 + 7x/5 + 1.5 = > f(2) = 2234.2454

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

in this function

f(x) = /16/1224 x^2 + 7x/5 + 1.5

f(2) = 2234.2454

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Answer:

b= 106 or b= -58

Step-by-step explanation:

word sentence

82= b-24

solution b equals 106

or

word sentence 82= 24-b

solution b equals -58

Exponential Expressions into Expanded Form into Answer:

[tex]9^{3}[/tex] = 9⋅9⋅9 = 729

[tex]7^{4}[/tex] = 7⋅7⋅7⋅7 = 2401

I hope this helps, have a good day!

Answer:

= 9⋅9⋅9 = 729

= 7⋅7⋅7⋅7 = 2401

Step-by-step explanation:

The asked consecutive even integers are -4,-2,0,2

Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.

Given that, what are four consecutive even integers if the first integer is −4

We know that, Consecutive even integers are even integers that follow each other, and they differ by 2. If x is an even integer, then x + 2, x + 4 and x + 6 are consecutive even integers.

Therefore, here x = -4,

-4+2 = -2

-4+4 = 0

-4+6 = 2

Hence, the asked consecutive even integers are -4,-2,0,2

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Barrett saves by joining the art museum instead of science museum is $2.50 plus $1.25 per month.

Saving money is one of the essential aspects of building wealth and having a secure financial future. Saving money gives you a way out of the uncertainties of life and provides you with an opportunity to enjoy a quality life.Savings represents an individual's unspent earnings. It is the amount that remains after meeting the household expenses.

Member benefits are the perks, services, and access that members receive as part of their membership. In other words they are what members get in exchange for joining the organization and if applicable, paying member dues.

Now we have

Fee charged by science museum= $10.75

Fee charged by art  museum         =$8.25

Now by subtracting he saves       =$2.50

Again

he saves =amount charged by science - amount charged by arts

              = $3.50 -$2.25

              = $1.25

In the results he saves $2.50 +$1.25 per month.

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The domain and range of the absolute value function are the ones in the first option.

Here we have the absolute value function:

f(x) = |x - 3| + 6

The domain for all absolute value functions is the set of all real numbers, as there are no input that generates a problem with the function.

And the range, the set of the inputs, has a minimum at the vertex.

Remember that if the vertex is (h, k), then we can write the function as:

f(x) = |x - h| + k

Then in this case:

f(x) = |x - 3| + 6

The vertex is at (3, 6)

Then the range is the set of all real values equal to or larger than 6, or:

y ≥ 6

Then the correct option is the first one:

Domain: {x|x is all real numbers}

Range: {yly ≥ 6}

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Answer:

commutative property of addition

Step-by-step explanation:

commutative property of addition

The commutative property of addition allows you to change the order of the numbers in an addition.

For example, 1 + 2 = 2 + 1