what is the density of a pine log if the weight is 42.63 lbs, radius 5 in, length 30in

The function f(x) is f(x) = -2/3 x -8. The function g(x) is g(x) = -1/6 x - 2

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that f(x) is a linear function. The value of f are f(-9) = -2 and f(-3) = -6.

Assume that, f(x) = ax + b

Now putting x = -9 in f(x) = ax + b:

f(-9) = a(-9) + b

Putting f(-9) = -2

-2 = -9a + b  ....(i)

Now putting x = -3 in f(x) = ax + b:

f(-3) = a(-3) + b

Putting f(-3) = -6

-6 = -3a + b   .....(ii)

By using the elimination method solve equation (i) and (ii).

Subtract equation (ii) from equation (i)

-9a + b = -2

-3b  + b = -6

(+)    (-)    (+)

__________

-6a = 4

Divide both sides by -6:

a = -4/6

a = -2/3

Putting a = -2/3 in equation (i)

-6 = -3(-2/3) + b

-6 = 2 + b

b = -6 - 2

b = -8

Therefore, f(x) = -2/3 x -8

Now compare f(x) = -2/3 x -8 with f(x) = ax + b

a =  -2/3 , b = -8

The y-intercept of f(x) is b = -8

The x-intercept of f(x) is b/a = -8/(-2/3) = 12

The y-intercept of g(x) is 6 more than f(x). Thus the y-intercepts of g(x) is 6 + (-8) = -2

The x-intercept of g(x) is 12.

Assume that the linear equation of g(x) is g(x) = hx + k

The y-intercept of g(x) is k = -2

The x-intercept of g(x) is k/h = 12

Putting k = -2:

-2/h = 12

h = -2/12

h = - 1/6

The linear equation of g(x) is g(x) = -1/6 x - 2

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Answer:

as likely as not

Step-by-step explanation:

if there are 12 cards then 6 would have even and and 6 would be odd so it is a 50/50 chance so it just as likely as it isn't

The event has an “equal chance” to happen or not, the probability will be 1/2. Therefore, option B is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, Bryson has 12 cards each card is a different number from 1 to 12.

Here, total number of outcomes = 12

Number of favorable outcomes = 6 (odd number of cards)

Now, probability of an event = 6/12

= 0.5

If the event has an “equal chance” to happen or not, the probability will be 1/2.

Therefore, option B is the correct answer.

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The solution to the equation 6y - 2(y + 1) = 3(y - 2) 6 is y = -34. So, the correct answer to the question is a. y = -10.

What is algebraic equation ?

An algebraic equation is a mathematical statement that asserts the equality of two expressions, each of which is made up of numbers and/or variables. The expressions are separated by an equal sign (=). The goal of solving an algebraic equation is to find the value(s) of the variable(s) that make the equation a true statement.

To find the solution to the equation 6y - 2(y + 1) = 3(y - 2) 6, we must first simplify both sides of the equation by following the order of operations (PEMDAS). First, we simplify the right side of the equation: 3(y - 2) 6 = 3y - 6 * 6 = 3y - 36. Next, we simplify the left side of the equation: 6y - 2(y + 1) = 6y - 2y - 2 = 4y - 2.

Now we have the equation: 4y - 2 = 3y - 36

Next, we can add 2 to both sides of the equation and get: 4y = 3y - 34

Finally we subtract 3y from both sides of the equation and get: y = -34

Therefore, the solution to the equation 6y - 2(y + 1) = 3(y - 2) 6 is y = -34. So, the correct answer to the question is a. y = -10.

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Answer: 2.54167 another way to write it 2 13/24 gallons of water jake put in his water.

Step-by-step explanation:

When you "plug in" a value or idea into the place of something else that has the same value or same idea, it is called substitution property of equality.

This is referred to as an operation which means the replacement of the variables (letters) in an algebraic expression with their numerical values.

Substitution property of equality is used for various purposes such as in the substitution of values into expressions, to check solutions for equations, to solve equations that have two variables, and find solutions for systems of equations such as in the case of simultaneous equations thereby making it the correct choice.

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The exponent of 3 in 3^3 is 3, also called "cubed" or "3 raised to the 3rd power".

1. The graph of Lin mistake is shown below.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Lin started with reading 30 pages.

Then, after 1sr day she will read the 40 pages per day.

So, if number of days represented by x- coordinates and number pages pages by y- coordinate we get

On first day (0. 30)

On second day (1, 30+40)= 91. 70)

On third day (2, 70+40)= (2, 110)

On fourth day (3, 110+40) = (3, 150)

and, On fifth day (4, 150+40)= (4, 190)

Hence, Line made mistake as after 4 days he completed 190 pages.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

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Answer:

19 square meters

Step-by-step explanation:

so split the shape into 2 rectangles (where you drew the line by the number 7)

then 3 times 5 is 15 and for the area of the second triangle it's not 1 times 7 because 7 is the entire side and we just need the smaller part on the right. So we do 7-3 because 3 is the amount of the side we dont need (it says on the bottom) and 1 times 4 is 4 and 4+15 is 19

B) Therefore, the polynomials among the given options are (i), (ii), (iv),  and (vii).

A polynomial is a mathematical expression made up of constants, variables, and non-negative integer exponents.

It can have no variable at all, one variable or multiple variables.

A polynomial can't have a negative exponent. It never has division by a variable. Based on this definition, options

(iii) 1- √5x

(v) (x-2)(x-4)/x

(vi) 1/x+1, and

(viii)1/2xa

are not polynomials because they have fractional exponents or negative exponents.

Therefore, the polynomials among the given options are (i), (ii), (iv), and (vii) because they do not have fractional or negatice exponent.

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Answer:

the answer is 4

2+2=4 bc 1+1 is 2 ×2 and that is 4 your welcome

Answer:2.90%

Step-by-step explanation: good luck!

The algebraic expression in question b can be simplified to give (x² - 5x)/5.

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

2x²(x - 5)/10x = 2x × x(x - 5)/ 2x × 5

2x is a common factor to both the numerator and denominator, hence can cancel out

2x²(x - 5)/10x = x(x - 5)/5

opening bracket we have;

2x²(x - 5)/10x = (x² - 5x)/5

Therefore, (x² - 5x)/5 is the result after simplifying the algebraic expression 2x²(x - 5)/10x

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On solving the provided question, we can say that A,O, B lie on a straight line segment, so, angle COD=46°

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

A,O, B lie on a straight line segment.

We know that

straight line has  = 180

angle AOC=3x+88

angle COD=(x+36)

Angle DOB = (2x - 4)

[tex]AOC+ COD+ DOB=180\\(3x+88)+(x+36)+(2x-4)=180\\6x+190=180\\ x=60/6=10 \\COD=x+36=10+36=46\\[/tex]

so, angle COD=46°

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We can add the factor 4 seven times to find the product 4 × 7.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number. a × b means that a is added to itself b times or b is added to itself a times.

So we know that multiplication is basically addition of one of the numbers up to the times as that of the other number.

Given, we have to find the product of 4 × 7, in terms of addition, by using the factor 4.

The meaning of the product of 4 and 7 is that 4 is adding to itself 7 times or 7 is adding to itself 4 times.

Since we need to break the product in terms of 4 as addends, we can write,

4 × 7 = 4 + 4 + 4 + 4 + 4 + 4 +4

Hence we can break 4 as 7 equal addends to find the given product.

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The slope of -10 as calculated from the data given is found out to be as 0.

Let's say y = -1= ,

Now, we know that the formula to calculate slope is y = mx+ b y .

This is known as slope-intercept form and can be written as ,

y = m x + b,

m = slope and b b= y-intercept.

y = mx +b y

y  = m x + b

Therefore , by looking at this formula we can say that the value of m is 0 .

So , the slope is found out to be 0.

The slope is defined as the change in y coordinate with respect to the change in x coordinate of that line.

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In the equation, r will have the value 1.79.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. The sign shows the relationship of equality between the expression written on the left side with the expression written on the right side.

14.3 = pi (r²) (1.4)

(r²) = 14.3/pi(1.4)

where pi = 3.142

(r²) = 14.3/3.142(1.4)

(r²) = 14.3/4.3988

(r²) = 3.212

r = √3.212

r = 1.79

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Answer: 90

Step-by-step explanation: I multiplied 18 by 5

Answer:

H=90

Step-by-step explanation:

if H÷5=18, then reverse it. so 18×5=90

Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.

The father of geometry, Euclid was a brilliant mathematician. Learn more about Euclid and the history of some of the math ideas we use today to see how important they have become.

The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.

The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.

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Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.

Understanding vocabulary has a significant role in general comprehension in many subject areas, including mathematics. There are several, tried-and-true techniques for teaching vocabulary across all subject areas. The growth of mathematical competency depends on the teaching and learning of the mathematical language.

Our continued development of the foundations required to think critically, clearly, and thoroughly was made possible by our language in geometry. Therefore, even if you might not want to or even be able to recall your geometry vocabulary, it nevertheless had a role in your mental growth and helped you become the thoughtful adult you are today.

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In programming, loops are used to keep repeating a block of code until a certain condition is satisfied.

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The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

When an equation is given in this format, finding both intercepts is rather simple (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.

It is possible to determine the x- and y-intercepts of the corresponding line when we have a linear equation in standard form.

In some circumstances, we might want to convert an equation written in a different form to standard form (for instance, while solving systems of equations).

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After solving, the gradient of the line y = 6x - 5 is 6.

We have to find the gradient of the line y = 6x - 5.

The formula known as the slope relates to the method for calculating a line's steepness and inclination. The x and y coordinates of the locations along the line can be used to determine the slope of the lines. It is the ratio of the change in the y-axis to the change in the x-axis, to put it another way.

By utilizing the line equation, the slope of any line may be expressed as

y = mx + b, where m = gradient.

When we compare the given equation y = 6x - 5 by the standard equation, we get m = 6.

So the gradient of the line y = 6x - 5 is 6.

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The write question is:

What is the gradient of the line y = 6x - 5

The statement "If a ≥ 0, then |a| = -a" is always false.

What is the absolute value?

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

The absolute value of a real number, denoted by |a|, is the non-negative value of a without regard to its sign.

Therefore, if a is greater than or equal to zero, the absolute value of a is equal to itself.

On the other hand, -a is the negative of a, which is only the case when a is less than zero.

Hence, |a| can never equal to -a when a ≥ 0, because the absolute value is always non-negative, while -a is always negative.

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The sentence "If a 0, then |a| = -a" is untrue at all times. 4 is equal to 4 in absolute terms. The formal notation for a number's absolute value is |x|.

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value. The non-negative value of a, indicated by the symbol |a|, is the absolute value of a real number, regardless of its sign. It follows that if an is higher than or equal to zero, its absolute value is also zero.

However, -a is the opposite of a, and is only true when an is less than zero. This means that when an is greater than 0, |a| can never equal -a because the absolute value is always non-negative whereas -a is always negative. Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.

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A rectangle has four sides and angles at 90 degree.

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.  A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

Given: shape of a rectangle

A rectangle is closed flat shape, having four sides, and each angle equal to 90 degrees. The opposite sides of the rectangle are equal and parallel.

Hence, A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).

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Answer:

lo l oh my gosh hi i havent seen u in so many years

Step-by-step explanation:

As per the given functions A(x) and B(x), at the month 8th the price of his phone be less with website B than website A.

The term function in math is known as a relationship between inputs where each input is related to exactly one output.

Here we have given that Asher is able to sell his cell phone on two different websites, A and B.

And in the given table, the different rates are represented by the functions A(x) and B(x), where t is time in months.

While we looking into the given question, we have identified that there are two functions are listed as follows:

A(x) = 80(0.86)ˣ

B(x) = 80 - 8t

When we plot the function on the graph, then we get the graph like the following,

Through the graph, we have identified that on the point of (8, 23.93) and (8,16) has been the resulting point.

Therefore, the correct option is (d).

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Answer:

A) [tex]x>-2[/tex]

Step-by-step explanation:

[tex]x+4>-x \\ \\ 2x+4>0 \\ \\ 2x>-4 \\ \\ x>-2[/tex]

the slope of the line is 8 and equation line is y = 8x.

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

slope m = 24-16 / 3-2

m = 8/1 = 8

y = 8x

Hence the slope of the line is 8 and equation line is y = 8x.

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