question: 3x +8 if x=2
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Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

The room contains approximately 73,896 grams of dry air. This calculation is based on the dimensions of the room (15.0ft×18.0ft×8.0ft) and the average density of dry air (1.168 g/L).

To calculate the grams of dry air in the room, we need to determine the volume of the room and multiply it by the average density of dry air.

Step 1: Convert the dimensions of the room to cubic meters.

Given:

Length = 15.0 ft

Width = 18.0 ft

Height = 8.0 ft

To convert feet to meters, we use the conversion factor: 1 ft = 0.3048 m.

So, the dimensions in meters are:

Length = 15.0 ft × 0.3048 m/ft = 4.572 m

Width = 18.0 ft × 0.3048 m/ft = 5.4864 m

Height = 8.0 ft × 0.3048 m/ft = 2.4384 m

Step 2: Calculate the volume of the room.

Volume = Length × Width × Height = 4.572 m × 5.4864 m × 2.4384 m = 62.9079 m³

Step 3: Convert cubic meters to liters.

To convert cubic meters to liters, we use the conversion factor: 1 m³ = 1000 L.

So, the volume of the room in liters is:

Volume = 62.9079 m³ × 1000 L/m³ = 62,907.9 L

Step 4: Calculate the grams of dry air.

Grams of dry air = Volume × Average density of dry air

Grams of dry air = 62,907.9 L × 1.168 g/L = 73,895.9852 g

Therefore, there are approximately 73,896 grams of dry air in the room.

The conversion factors and calculations involved in determining the grams of dry air in the room. Understanding the concept of converting between different units of measurement, such as feet to meters and cubic meters to liters, is essential for accurate calculations in physics and engineering. It is crucial to pay attention to the conversion factors and ensure the units are consistent throughout the calculations. By following these steps, we can accurately determine the amount of dry air present in a given space.

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True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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Answer:

5 containers high

Step-by-step explanation:

Given that :

Given :

Width = 20 containers

Length = 50 containers

Total containers = 5000

Hence,

Total containers = width * length * height

5000 = 20 * 50 * height

5000 = 1000 * height

Height = 5000 / 1000

Height = 5 containers

The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.

The solution sets of the linear inequality  are drawn in the graph attached below,

From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3

And the green section of the graph represents the other inequality

y<-5/2 x - 7

As we can see in the graph that the two areas are separate. So there are no common points.

Again if we consider the two inequalities as two lines  y= -5/2 x - 3

and y = -5/2 x - 7 . we can see that they both have the same slopes of  -5/2 so they are parallel lines. so they will never intersect.

Therefore we can conclude that the inequality  y</5/2 x - 7 does not have any common solution set with the given inequality.

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It's not necessarily certain that a function's inverse is a function! It is necessary for the original function to be a one-to-one function in order to ensure that its inverse will likewise be a function.

What does a function's inverse mean with an example?

The original value for which a function produced its output is returned by the inverse function. In terms of functions, f and g are inverse, using the formula f(g(x)) = g(f(x)) = x. The initial value can be retrieved using a function that is its inverse. As a result, g(y) = (y-5)/2 = x is the inverse of f. (x).

                                A function that reverses the effects of another function is said to have an inverse. If y=f(x), then x must always equal g, then a function g is the inverse of a function f. (y). Application of f followed by application of g is equivalent to doing nothing, in other words.

y = x² is a function

but inverse y = +/- √x   is not

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Answer:

9 dollars

Step-by-step explanation:

if bella pays 7 dollars 5 times she pays a total of 35 dollars is she recives 26 dollars back 35-26=9

If the Area= Length × Width

Then, The width of the rectangle is (x -1).

We know that area of rectangle is the number of unit square within the boundary of the rectangle.

The formula of area of rectangle is:

    Area = Length × width

⇒ Width = Length / Area

Given that,  

(x⁴ +4x³ + 3x² -4x -4) / (x³ + 5x² + 8x + 4 ) = Width   ----------------- (1)

Let's simply the expression :

Note that: x=1 is a zero of the numerator since the sum of the coefficient is zero.

So, (x-1) is a factor:

Putting the values in equation (1)

(x⁴ +4x³ + 3x² -4x -4) = (x-1)  (x³ + 5x² + 8x + 4 )

(x⁴ +4x³ + 3x² -4x -4) / (x³ + 5x² + 8x + 4 ) = (x-1)

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Answer:

D on Edge 23

Step-by-step explanation:

because i said so

Answer:. The deposit is £600

Step-by-step explanation:

Multiply £20 times 48 to find the total of the monthly payments.

20 × 48 =£960

Subtract that from the initial cost to find the deposit.

1560 - 960 = 600

Answer:

This is the graph of a sine function

The y-intercept of the graph is the function value y=0

The smallest positive x-intercept of the graph is located at x=pi/2

The greatest value of y is y=2

For x between x=-pi and x=pi/2, the function value y=>0

Step-by-step explanation:

It is predicted that there will be approximately 122 thousand keylogging programs reported in 2014.

To predict the number of keylogging programs that will be reported in 2014, we can use the given information about the growth rate of keylogging programs from 2000 to 2005.

The data indicates that the number of keylogging programs grew approximately exponentially from 0.4 thousand programs in 2000 to 13.0 thousand programs in 2005.

To estimate the number of keylogging programs in 2014, we can assume that the exponential growth trend continued during the period from 2005 to 2014.

We can use the exponential growth formula:

N(t) = \(N0 \times e^{(kt)\)

Where:

N(t) represents the number of keylogging programs at time t

N0 is the initial number of keylogging programs (in 2000)

k is the growth rate constant

t is the time elapsed (in years)

To find the growth rate constant (k), we can use the data given for the years 2000 and 2005:

N(2005) = N0 × \(e^{(k \times 5)\)

13.0 = 0.4 × \(e^{(k \times 5)\)

Dividing both sides by 0.4:

\(e^{(k \times 5)\) = 32.5

Taking the natural logarithm (ln) of both sides:

k × 5 = ln(32.5)

k = ln(32.5) / 5

≈ 0.4082

Now, we can use this growth rate constant to predict the number of keylogging programs in 2014:

N(2014) = N0 × \(e^{(k \times 14)\)

N(2014) = 0.4 × \(e^{(0.4082 14)\)

Using a calculator, we can calculate:

N(2014) ≈ \(0.4 \times e^{5.715\)

≈ 0.4 × 305.28

≈ 122.112

Rounding to the nearest integer:

N(2014) ≈ 122

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Answer:

multiply the speed value by 60

Step-by-step explanation:

Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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In order to answer this question, we need to calculate the correlation coefficient between the third homework score (x) and the midterm exam score (y) in the sample. The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1.

Using a statistical software program, we can calculate the correlation coefficient between x and y in the sample to be 0.91, which indicates a strong positive correlation. This means that as the third homework score increases, the midterm exam score also tends to increase.

To determine how much the midterm exam score is likely to increase, on average, for a one-point increase in the third homework score, we can use the slope of the regression line. The regression line is a line that best fits the relationship between x and y in the sample.

Using the same statistical software program, we can calculate the slope of the regression line to be 3.69. This means that for every one-point increase in the third homework score, the predicted increase in the midterm exam score is approximately 3.69 points, on average.

Therefore, based on the results of this sample, we can conclude that if a student's third homework score increases by one point, their midterm exam score is likely to increase by approximately 3.69 points, on average.

However, it is important to note that this relationship may not hold for all students or in all contexts, and further research would be needed to confirm the generalizability of these results.

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The probability that chair 5 is occupied by a boy is 0.216%.

To find the probability that chair 5 is occupied by a boy out of a total of 11 chairs randomly chosen by 4 girls and 7 boys, we need to calculate the ratio of the total number of arrangements where a boy sits on chair 5 to the total possible number of arrangements.

The total possible number of arrangements is given by 11P11, which is equal to 11!.

We can count the number of arrangements where a boy sits on chair 5 by multiplying 6P6 (number of possible ways to place the remaining 6 boys on the remaining 6 chairs) with 5P1 (number of ways to select a boy for chair 5). This would be equal to 6! × 5!.

The total probability of chair 5 being occupied by a boy is then calculated as the ratio of the number of arrangements with a boy on chair 5 to the total possible number of arrangements: 6! × 5! / 11!.

Simplifying this expression, we get the probability: 86400 / 39916800 = 0.00216.

To express the probability as a percentage, we multiply the result by 100: 0.00216 × 100 = 0.216%.

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Answer:

16=1

Step-by-step explanation:

Step-by-step explanation:

I don't know the correct answer but I know its not 0.60 watts

Answer:

it is 3.6 watts

Step-by-step explanation:

there is no explanation but if needed proof i will try to post a picture of it

The missing angle represented by 6 is 107 degrees

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that, when combined, create a straight line, then they are supplementary angles.

Angles on a straight line are supplementary and hence the potion that has 6 is equal to say x

x + 73 = 180

x = 180 - 73

x = 107 degrees

Supplementary angles can be found in many geometric shapes, such as triangles, quadrilaterals, and polygons.

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The equation has no solution that satisfies the inequality.

This equation doesn't have a unique solution because it's contradictory. It should be noted that to see why, we can simplify the equation by subtracting 9 from both sides:

3x = 18 - 9

which simplifies to:

3x = 9

Now we can solve for x by dividing both sides by 3:

x = 3

However, if we substitute x = 3 back into the original equation, we get:

9 < 3(3) = 9

This isn't true. Therefore, the equation has no solution that satisfies the inequality.

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Answer:

Slope = 0

Step-by-step explanation:

This is a HORIZONTAL line  ....horizontal lines have slope = 0

VERTICAL lines like   x =2    have  UNDEFINED slope.

Answer:

m = 0

Step-by-step explanation:

This type of linear equation would be a horizontal line when graphed meaning that the slope would equal zero.

So in the equation y = -2, the slope is missing as the ' mx ' because it is horizontal.

Answer:

Step-by-step explanation:

Answer:

The formula to calculate simple interest is:

I = Prt

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate, and t is the time in years.

In this case, P = $1000, r = 4.2%, and t = 6 years. So we have:

I = $1000 * 0.042 * 6 = $252

The interest earned is $252, so the balance in Krista's account at the end of 6 years is:

$1000 + $252 = $1252

Therefore, the balance in Krista's account at the end of 6 years is $1252.

Answer: Krista's account at the end of 6 years is $1252.

Step-by-step explanation: To calculate the balance in Krista's account after 6 years of earning simple interest, we can use the formula:

A = P(1 + rt)

where A is the ending balance, P is the principal (initial deposit), r is the annual interest rate (as a decimal), and t is the time in years.

In this case, Krista deposited $1000, the annual interest rate is 4.2%, and the time is 6 years. We can plug these values into the formula and solve for A:

A = P(1 + rt)

A = 1000(1 + 0.042 × 6)

A = 1000(1 + 0.252)

A = 1000(1.252)

A = 1252

Therefore, the balance in Krista's account at the end of 6 years is $1252. This answer is in dollars, so we don't need to convert it to dollars and cents.

Answer:

450$

Step-by-step explanation:

So lets add otgether everything that she NEEDS to buy, to see how much of 1500$ she can use on what she WANTS to buy.

So:

500+50+100+100+300

=

1050

This is the total cost of what she NEEDS to buy

Now lets subtract this from her income:

1500-1050

=

450

So we now know that the amount of money she has left to spend on what she WANTS is 450$

Hope this helps! :)

Answer

x=5 y=2

Step-by-step explanation: