A wood stove burns 4 same-sized logs in 2 hours. How many log does the stove burn in 8
hours?

Answer:

There are 6

Step-by-step explanation:

There are two within each circle.

Answer: 18.84 radians

Step-by-step explanation:

Compare to last year the population of the Boom town increased by 25%  which is equal to 6000 then population of the last year is 4800.

As given in the question,

Present year population of the Boom town is equal to 6000

Let us consider 'y' be the population of Boom town last year.

Percentage of increase in population = 25%

Equation formed for the given condition is :

y + 25%y = 6000

⇒ y + (25/100)y = 6000

⇒ (100 + 25 / 100 )y = 6000

⇒ y  =  ( 600,000 / 125 )

⇒ y  = 4,800 population of Boom town last.

Therefore, last year population of the Boom town is equal to 4,800.

The above question is incomplete, the complete question is:

Compared to last year, the population of Boom Town has increased by 25%. The population is now 6,000. What was the population last year?

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Increasing or decreasing the size of a figure (referred to as the preimage) to produce a new figure is a type of transformation termed dilation. How much the dilation image will enlarge or reduce in size relative to the preimage is determined by the scale factor, r. Every time, k will have a value larger than 0.

A transformation in geometry is an action that shifts, rotates, or modifies an existing shape to produce a brand-new shape.

Increasing or decreasing the size of a figure (referred to as the preimage) to produce a new figure is a type of transformation termed dilation.

How much the dilation image will enlarge or reduce in size relative to the preimage is determined by the scale factor, r.

A two-scale factor dilation has been applied to Image A in relation to its origin. It is important to note that every coordinate point in the dilation picture is twofold that of the preimage.

The notation shown below can be used to represent a dilation with a scale factor close to the origin:

Dk (x , y ) = (kx, ky)

there will always be a number greater than 0 in the equation.

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Answer:

-4/5

Step-by-step explanation:

Just simply use your knowledge to eliminate the d

The solution to the implicit differentiation problem is dy/dx = -16x/2y.

To solve this problem, we must use implicit differentiation. This means that we must differentiate both sides of the equation with respect to the independent variable, x. We can do this by taking the derivative of both sides of the equation.

The derivative of 8x^2 is 16x and the derivative of y^2 is 2y dy/dx.

Therefore, the equation becomes: 16x + 2y dy/dx = 0

We can then solve for dy/dx by dividing both sides by 2y, which gives us dy/dx = -16x/2y.

Therefore, the solution to the implicit differentiation problem is dy/dx = -16x/2y.

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Answer:

$1.35

Step-by-step explanation:

15% of $9

= [tex]\frac{15}{100}[/tex] × $9

= 0.15 × $9

= $1.35

Answer:

[tex]8....on \: the \: first \: box \: and \\ 64......on \: the \: second \: box[/tex]

Step-by-step explanation:

Greetings!!!

so first let's see how it comes by changing it into ratios

[tex] \frac{1}{4} ....the \: first \\ \frac{2}{8} cancel(simplify) = \frac{1}{4}...the \: second [/tex]

Thus, following the same order

[tex] \frac{8}{32} simplify = \frac{1}{4} \\ \frac{16}{64} simplify = \frac{1}{4} [/tex]

so we get the same ratios.

If any questions tag it on the comments.

Hope it helps!!!

We can identify the base and its exponent as the exponent indicates the number of times the base is used as a factor in an exponential notation.

An exponent is the number of times a number has been multiplied by itself. For instance, the phrase 2 to the third, which is represented as 23, means 2 x 2 x 2 = 8, not 23, and 2 x 3 = 6, respectively. Remember that every number multiplied by one is equal to itself.

Exponents are a technique of expressing extremely large numbers in terms of powers. The number of times a number has been multiplied by itself is the exponent, so to speak. For instance, the result of multiplying the number 6 by itself four times is 6 6 6 6. This can be expressed as 6⁴. Here, the exponent and base are 4 and 6, respectively.

An exponential number takes the shape of a, where an is multiplied by itself n times. The simple example is 8=23=222. In exponential notation, A is referred to as the base, whereas n is referred to as the power, exponent, or index. In scientific notation, 10, which is a specific illustration of exponential numbers, is typically always used as the base number.

Exponential notation make it easy to express powers succinctly. The exponent displays the base's multiplicative power. It can be written as 2 2 2 2=25 for the integer 32 because 2 is the "base" and 5 is the "exponent." The correct translation of this phrase is "two to the fifth power."

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Answer: i think its A

Answer:

Step-by-step explanation:

B)

Since both sides are equal, there are infinitely many solutions.

-Hope this helps!

Yes, one meter of ribbon will be enough to make the bow because one meter is equal to  1.094 yards.

One meter is equal to  1.094 yards. So, one meter is longer than one yard.

Since Amelia needs one yard of ribbon to make the bow, and she can only find ribbon sold by the meter, which is longer than a yard, one meter of ribbon will be enough to make the bow.

Thus, She can purchase one meter of ribbon to make the bow.

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A $50,000 car with a 30% ($15,000) residual value is financed over five years. In this case, the loan is repaid in full in five years for $35,000, with the final $15,000 being paid as a balloon payment.

In statistical or machine learning models, the differences between actual and expected data values are referred to as residuals.

They act as a diagnostic instrument for assessing the caliber of a model. They are also known as errors.

The primary column, Inflation, of the table below provides details on US inflation for each month of 2017. Forecasts from a model that seeks to predict the rate of inflation are shown in the Predicted column.

Following are the calculations for the residuals: Residual is equal to predicted inflation.

The Residual column contains them.

The model predicted 1.8% for the data for January 2017, while the actual inflation rate was only 0.5%, leaving a residual of -1.3%.

Hence, A $50,000 car with a 30% ($15,000) residual value is financed over five years. In this case, the loan is repaid in full in five years for $35,000, with the final $15,000 being paid as a balloon payment.

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Answer:

[tex]I'(-2,-4), J'(-4,4), K'(4,4)[/tex]

Step-by-step explanation:

Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor [tex]k[/tex] centered at the origin, [tex](x,y) \to (kx,ky)[/tex].

The product of two numbers, x and x + 3 , is 550, then x²+3x = 550: Option C

You should be aware that a quadratic equation is an equation whose highest power of its variable is two. A quadratic equation in the form x can be written as ax²+bx+c = 0 where a, b and c are positive or negative integers

The given expression is

The product of two numbers, x and x + 3 , is 550

this implies x(x+3) = 550

Opening the brackets to get

x²+3x = 550

This in conclusion means that the best option is x²+3x = 550

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Answer:

[tex]f(f(2))=184[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2+3x-5\\f(2)=2(2)^2+3(2)-5=2(4)+6-5=8+1=9\\f(f(2))=f(9)=2(9)^2+3(9)-5=2(81)+27-5=162+22=184[/tex]

Answer:

600 people

Step-by-step explanation:

40 people in 20 minutes => 120 people per hour. 5 hours, so 5 x 120 = 600 people.

A touchdown in football count for 6 point. If n and for the number of touchdown, then the equation which represents number of points in n touchdown y = [tex]6n[/tex]

Given that,

A touchdown in football count for 6 point.

If n and for the number of touchdown,

We are given that a touchdown in football counts for 6 points.

We have to find an equation which represents number of points in n touchdown.

In order to find the number of points in n touchdown we will multiply 6 with n.

Number of points in one touchdown y = 6

Number of points in n touchdown y = [tex]6*n[/tex]

Number of points in n touchdown y = [tex]6n[/tex]

Therefore,

A touchdown in football count for 6 point. If n and for the number of touchdown, then the equation which represents number of points in n touchdown y = [tex]6n[/tex]

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Because the first equation is already solved for y we can substitute 3x−5 for y in the second equation and solve for x:

y=x−3 becomes:

3x−5=x−3

3x−5+5−x=x−3+5−x

3x−x−5+5=x−x−3+5

3x−1x−0=0+2

2x=2

2x/2=2/2

2x/2=1

x=1

Substitute

1 for x in the first equation and calculate y:

y=3x−5 becomes:

y=(3×1)−5

y=3−5

y=−2

The solution is x=1 and y=−2 or (1, -2)

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a) The factored function is given as follows: f(x) = 4(x + 1.25)(x - 3).

b) The x-intercepts are given as follows: x = -1.25 and x = 3.

c) The end behavior is given as follows: Due to the positive leading coefficient, the function increases to left and right.

d) The graph of the function is given by the image presented at the end of the answer.

The quadratic function for this problem is defined as follows:

f(x) = 4x² - 7x - 15.

The coefficients are given as follows:

a = 4, b = -7, c = -15.

Inserting these coefficients into a quadratic function calculator, the roots, which are the x-intercepts, are given as follows:

x = -1.25 and x = 3.

Considering the leading coefficient of 4 and the linear factors of the function, the factored function is given as follows:

f(x) = 4(x + 1.25)(x - 3).

The x-coordinate of the vertex is given as follows:

x = -b/2a = 7/8.

Hence the coordinates of the vertex are:

(7/8, f(7/8)).

Then the graph is made considering:

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Value of gof(-1) is 2. The solution has been obtained by applying the multiplication operation on the given functions.

What are operations on functions?

Just like we add, subtract, multiply and divide the terms in a function, the functions can also be added, subtracted, multiplied or divided in a similar way.

Suppose there are two functions f(x) and g(x). The notations are as follows:

Now, gof= g(f) = 3-f

We are given f = 2+x

So, f(-1) = 2+(-1) = 1

Now, substituting the value of f(-1) in g(f) , we get

gof(-1)= 3-1=2

Hence, the value of gof(-1) is 2.

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In light of this, the scorer circles the S on the scorecard at the end of a set to designate the team that would serve first after a coin flip.

Following are the circles that are drawn at the end of a set on the NCAA women's volleyball scorecard:

who has the first opportunity to serve:

Based on our existing knowledge of how NCAA Women's Volleyball functions, we can see that each period is divided into sets and that there is a scorecard where each team's points are given. In light of this, the scorer circles the S on the scorecard at the end of a set to designate the team that would serve first after a coin flip.

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There are various properties of subtraction , out of which four of them are ,

Subtraction means to reduce one number or quantity from another.  It is one of the most common mathematical operations which are present as well as it is represented by the symbol , " - " .

The associative property does not apply to subtraction which are performed between  whole-number. The order of subtraction is significant.

The distributive property helps to simplify the difficult algebraic expression. As a result, the distributive property favors multiplication over subtraction. The property states that subtracting any number from the same number results in the number 0.

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The probability of being a senior citizen and white is: (0.63)(0.3) = 0.189.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty.

Given that the probability of identifying white is 0.63.

Then the probability of not white is:

1 - 0.63 = 0.37

Given that the probability of being a senior citizen is 0.3.

Then the probability of not a senior citizen is:

1-0.3 = 0.7

Hence, the probability of being a senior citizen and white is:

(0.63)(0.3) = 0.189

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Answer:

$43

Step-by-step explanation:

each friend:

$165/5 = $33

Maria:

$33 + $10 = $43

Answer: $43

Step-by-step explanation:

First, divide the money amongst the friends.

165/5 = 33

Then add the ten.

33 + 10 = 43

The value of the expression  is 512x³-9x²

You should be aware that an expression is a mathematical statement that is not an equation but have variables. It is also an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

The given expression is

8x to the third power -9x

This is expressed as follows

(8x)³-9x²

In this expression, every term inside the bracket is raised to the third power

⇒8³ * x³ - 9 *x

= 512*x  - 9x²

= 512x³-9x²

In conclusion, the value of the expression is 512x³-9x²

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In 2006 we have 93.3 people per sq mile .

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

In order to determine the equation for this relationship, we need to first find the slope between these two values. There are two ways to do this:

1. Create a graph

*Create a graph with the x-axis representing the years past 2000 (so 2000 would be 0 and 2003 would be 3 and so on)

*Use the fact that slope=rise/run to get slope=2.7/3 (because we rise 87-84.3=2.7 and run 3 (from 2000 to 2003), and 2.7/3=27/30=9/10

*Plug this and the point (0, 84.3) into the formula y=mx+b to find the y-intercept of your equation

--> 84.3=(9/10)(0)+b --> b=84.3

So, your equation can be written now as y=(9/10)x+84.3

[Note: To check, if you plug in 3 you should get 87, and you do, so it works!]

2. Use the slope formula

Alternatively, you could have did slope=(y2-y1)/(x2-x1)=(87-84.3)/(3-0)=2.7/3=9/10

The process here would be the same as above

b) Here, just plug 10 into the equation above (since 10 is the number of years 2010 is after 2000, or 2010-2000=10). Doing this we get:

y=(9/10)(10)+84.3=9+84.3=93.3

So, in 2006 we have 93.3 people per sq mile

Therefore, In 2006 we have 93.3 people per sq mile .

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A collection of two or more inequalities in one or more variables is known as a system of inequalities.

Two or more inequalities in one or more variables make up a system of inequalities. When a problem calls for a variety of answers and those answers are constrained by multiple factors, systems of inequalities are used.

The intersection region of every solution in the system of inequalities is the system's solution.

Comparable to solving a system of linear equations, solving a system of linear inequalities involves locating the point (or points) of intersection, however this is not the case with inequalities. Instead, the area that fulfils each linear inequality will make up the solution set.

An inequality system's graph shows how the inequalities are resolved.

The system of inequality needs to be fixed by [tex]$y > \frac{2}{3}$ \\ and $x \leq \frac{16}{3}$[/tex]

Following is a description of the inequality system:

[tex]$y > 2 x+4$$x+y \leq 6$[/tex]

The charts for these are in the attached.

[tex]$y > 2 x+4$ and $x+y \leq 6$[/tex]

The graph shows us:

[tex]$y > \frac{2}{3}$$x \leq \frac{16}{3}$[/tex]

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The measures of the angle are a = 84°,  b = 84°, c = 96°, d = 58°, e = 38° and f = 142°

Angle geometry is a branch of mathematics that deals with the properties and relationships of angles in geometric figures.

Check the attached image for labeling

d = 180 - 122 = 58°    (sum of angles on a straight line)

c = 96°   (vertically opposite angles are equal)

a = 180 - 96 = 84°    (sum of angles on a straight line)

b = a  (vertically opposite angles are equal)

b = 84°

e = 180 - b -d  (sum of angles in a triangle)

e = 180 - 84 - 58 = 38°

f = 180 - e     (sum of angles on a straight line)

f = 180 - 38 = 142°

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The 2 with an exponent of 1 is represented as 2¹ and the value of 2 with an exponent of 1 is 2 .

When the number "a" is multiplied by itself "n" number of times , then it can be represented in Exponential Form as "aⁿ " , the number "a" is called the base and the number "n" is called the exponent or power .

we have to find the value of 2 with an exponent of 1 ;

So , it is represented as ⇒  2¹ ;

and the value of this exponential expression is ⇒ 2 .

Therefore , the value of 2 with an exponent of 1 is 2 .

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Answer:

I wish you luck

Step-by-step explanation: