Which graph represents this system?
2x-5y=-5
y = ² x + 1
5

The required average speed of the triathlon is 0.02 miles per minute.

Given that,
Total distance swim in the triathlon = 0.5 miles
Total time consumed to swim = 25 minutes
To determine the average speed of swimming in the triathlon.

Here,

Total time consumed to complete the swim portion of the triathlon = 25 minute
Distance swim = 0.5 miles
Speed of swim or average speed of swim = distance swim \time
= 0.5 / 25
= 0.02 miles / minute.

Thus, the required average speed of the triathlon is 0.02 miles per minute.

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we can say that years of experience explain 95.4% of the variation in the number of units sold per day by the digital music retailer. years of experience explain approximately 95.4% of the variation in the number of units sold by the digital music retailer.

In the given problem, we need to find out how much variation in the number of units sold does years of experience explain. The given problem can be solved with the help of regression analysis.Regression Analysis:Regression analysis is the method used to understand how one variable is affected by another variable. It shows the relationship between two variables with the help of a line of best fit. The line of best fit can be represented with the help of the following equation:y = a + bxwhere,y = dependent variablea = interceptb = slope of the line of best fitx = independent variableLet's represent the given data with the help of the table below:Given DataTable:We know that, y = a + bxWe also know the following terms:    * y-intercept (a) = 21.01    * Slope of the line of best fit (b) = 3.2Hence, we can write the following equation:y = 21.01 + 3.2xWe can interpret the above equation as follows:For each additional year of experience in the market, the digital music retailer sells an additional 3.2 units per day.The coefficient of determination (R²) is a statistical measure that shows how much of the variance in the dependent variable is explained by the independent variable(s). In the given regression analysis table, the value of R² is 0.954.

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For a student with a shoe size of 9, the student's height is equal to 65 inches.

For a student with a height of 60 inches, the student's shoe size is equal to 6.5.

From the information provided, an equation for the line of best fit that represents or models the heights x (in inches) and shoe sizes y of several student is given by this mathematical expression:

y = 0.50x - 23.5

Where:

For a student with a shoe size of 9, the student's height is given by:

y = 0.50x - 23.5

0.50x = y + 23.5

Student's height, x = (y + 23.5)/0.50

Student's height, x = (9 + 23.5)/0.50

Student's height, x = 32.5/0.5

Student's height, x = 65 inches.

For a student with a height of 60 inches, the student's shoe size is given by:

y = 0.50x - 23.5

y = 0.50(60) - 23.5

y = 30 - 23.5

y = 6.5

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Answer:

Mixed number: 6 1/100

Improper Fraction: 601/100

Step-by-step explanation:

Hope this helps!

Answer:

Mixed number: \(6\frac{1}{100}\)

Improper fraction: \(\frac{601}{100}\)

Step-by-step explanation:

A mixed number is a fraction that contains an integer and fraction part. An improper fraction is a fraction where the numerator is larger than the denominator.

\(6.01\) can be written in the from \(\frac{601}{100}\). This is an improper fraction since the numerator is greater than the denominator.

The mixed number is \(6\frac{1}{100}\) since \(100\) goes into \(601\) six full times with \(1\) as the remainder.

Hope this helps :)

The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.

This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.

Answer tο Questiοn 9:

The relatiοnship between average displacement squared (R²) and time (t) is linear.

Answer tο Questiοn 10:

The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.

Answer tο Questiοn 11:

We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.

The diffusiοn equatiοn: R2 = 4Dt

The trendline equatiοn: y = mx + b

Substituting the cοrrespοnding variables, we get:

R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant

Sο, we have:

R2 = 4Dt

y = mx + b

Equating the twο equatiοns, we get:

y = 4Dx + 0 (since b = 0)

Cοmparing this with the trendline equatiοn y = mx + b, we can see that:

m = 4D

Therefοre, we can sοlve fοr 'D' as:

D = m/4

Answer tο Questiοn 12:

Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.

Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

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Answer:

See below

Step-by-step explanation:

-a times -1

Negative times a negative equals a positive

a times 1 = a

Answer:

No

Step-by-step explanation:

4a=a*a*a*a

4a is 4 times the variable a, not the variable a added to itself 4 times.

Answer:

After 4.5 hours of driving at the same constant speeds, Drew and Rachel are 6.5 miles apart.

Hope This Helps :)

Welch's two-sample t-test indicates that the average of Load Return's population is significantly greater than the average of No Load Return's population, with a large effect size.

The null hypothesis (H0) that the two population means are equal is rejected as the p-value (0.005) is less than the chosen significance level (α=0.05). This indicates that the chance of a Type 1 error is small, and the alternative hypothesis (H1) that the average of Load Return's population is greater than the average of No Load Return's population is supported.

The test statistic (T=-2.646) falls outside the 95% critical value accepted range, which further supports the rejection of H0. The effect size (0.68) is considered large, indicating that the difference between the two population means is substantial.

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Complete Question:

use the 60 mutual funds in the table below to conduct the hypothesis test. what is the p value? p value is (to 4 decimals)

Answer:

statement 1 is the true answer

The correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is \((-\infty, \infty)\)

4) As x approaches -∞, h(x) approaches -∞

"A function of the form \(f(x)=a^x\), where “x” is a variable and “a” is a constant."

"It is a set of all possible input values for which a function is well defined."

"It is a set of all possible output values."

"It is a point at which the graph of the function intersects the X-axis or Y-axis."

For given question,

A function \(f(x)=x^{\frac{1}{3} }\) is transformed to function \(h(x)=(2x)^{\frac{1}{3} }+5\)

The domain of function h(x) is all real values.

To find the y-intercept, substitute x = 0

\(\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5\)

So, the y-intercept of function h(x) is (0, 5)

To find the x-intercept, substitute y = 0 i.e., h(x) = 0

\(\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5\)

This means, the x-intercept of h(x) is (-62.5, 0)

From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞

Therefore, the correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is \((-\infty, \infty)\)

4) As x approaches -∞, h(x) approaches -∞

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Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

The effort required to complete this group task will be less than the effort required to complete the task as individual homework.

In social psychology, social influence is a topic of study. Social compliance, persuasion methods, brainwashing, and social obedience are a few examples of issues studied in this field.

Several phenomena show how having others around affects performance, one of which is social loafing.

When someone works less hard on a task when doing it in a group, this unique phenomena happens.

Your class is divided into groups of four and given the assignment by the teacher. This group assignment will require less effort from you than completing it as individual homework would have required. This exemplifies the social loafing principle.

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Answer:

y = 2x + 8

Step-by-step explanation:

To find the line, use the equation y = mx + b.

Plug in the slope and given point, then solve for b:

y = mx + b

2 = 2(-3) + b

2 = -6 + b

8 = b

Plug in the slope and b into the equation:

y = 2x + 8

So, the equation of the line is y = 2x + 8

Answer:

m

Step-by-step explanation:

When x = 40,

6 + 0.5x = 26

Answer:

251 = 130 + q

This is d equation

Answer:

251 = q + 130

Step-by-step explanation:

251 is equal to 130 added to q,

→ 251 = q + 130

Let's solve the equation,

→ 251 = q + 130

→ q = 251 - 130

→ [ q = 121 ]

So, the answer is 121.

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

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The density of a 240-g rock that displaces 89.0 cm³ of water can be calculated by dividing its mass by its volume. The density of the rock is approximately 2.70 g/cm³.

Density is defined as the mass of an object divided by its volume. In this case, the mass of the rock is given as 240 g and the volume of water displaced is given as 89.0 cm³. To find the density, we divide the mass by the volume:

Density = Mass / Volume

Density = 240 g / 89.0 cm³

Calculating this expression gives us the density of the rock as approximately 2.70 g/cm³. Therefore, the density of the 240-g rock that displaces 89.0 cm³ of water is approximately 2.70 g/cm³.


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Answer:

missing length= 2.8

Step-by-step explanation:

a^2+b^2=c^2

a^2+1^2=3^2

a^2=3^2-1^2

a^2=8

a=2.8284271247461

a=2.8

Based on the total budget of Mr. Bell for the incentive and the cost of a pizza box, the equation that matches the word problem is 60 ≥ 9.25x

The amount that Mr. Bell will spend at the most is the budget for the incentive of $60.

He will not spend more than this amount but will spend a maximum of it. This amount of $60 is therefore equal to or greater than the cost of the pizzas:

60 ≥ cost of the pizza

The cost of the pizza is:

= Cost per pizza box x number of boxes

= 9 × x

= 9x

The equation is therefore:

60 ≥ 9.25x

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The value of the objective function at this point is Z = 840.  The solution (7, 7) is feasible.

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)Step-by-step explanation is given below:Function: Linear Programming modelSolution:

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)  

b. Checking for feasible solutionsWe need to check the following solutions:(x1, 32) (7, 7) (7, 8) (8, 7) (8, 8) (8, 9) (9, 8)Let us substitute the values in the linear programming model for each solution:Solution: (x1, 32)30x1 + 126(32) = 4,752 + 4,032 = 8,784 > 4,752 (Infeasible)Solution: (7, 7)30(7) + 126(7) = 966 < 4,752 (Feasible)60(7) + 126(7) = 1,092 < 8,436 (Feasible)Solution: (7, 8)30(7) + 126(8) = 5,070 > 4,752 (Infeasible)Solution: (8, 7)30(8) + 126(7) = 5,016 > 4,752 (Infeasible)Solution: (8, 8)30(8) + 126(8) = 5,196 > 4,752 (Infeasible)Solution: (8, 9)30(8) + 126(9) = 5,322 > 4,752 (Infeasible)Solution: (9, 8)30(9) + 126(8) = 5,358 > 4,752 (Infeasible)Therefore, only the solution (7, 7) is feasible.

c. Expressing the model in algebraic form:We have,x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)The solution x = (7, 7) is feasible and optimal, with Z = 60(7) + 50(7) = 840.d. Using the graphical method:Below is the graph plotted for the above linear programming model:graph{(y-4752)/126<=-(3/2)x+316}The feasible region is given by the shaded region in the graph. The optimal solution is (7, 7), which is at the point of intersection of the two lines. The value of the objective function at this point is Z = 840.

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Answer:

-2x^2

Step-by-step explanation:

Simplify

x^-1 - 2x^2 - x^-1

becomes

-2x^2

Answer:

Step-by-step explanation:

Volume = mass * density

Substitute values and calculate:

Answer:

Line B

Step-by-step explanation:

y=1/2x+1 is a linear equation, who's formula is y=mx+b.

m is the slope, and b is the y-intercept, which means the point that is on the y axis when x=0.

One point of Line B is on one, and it's the only line thats on that.

Answer:

  shifted down 4 units

Step-by-step explanation:

You want to know the effect on the graph of changing y=2x+2 to y=2x-2.

The constant in the equation y=2x+2 is the y-intercept. The line described by this equation crosses the y-axis at y=2.

When the equation is changed to y=2x-2, the y-intercept changes from +2 to -2, a shift down of 4 units. The shifted line has the same slope as the original, so is parallel to it.

The effect on the graph is to move it down 4 units.

Answer:

324 \(cm^{2}\)

Step-by-step explanation:

Area is the length multiplied by width. In the case of a square, both sides are the same so it would simply be 18 x 18 or \(18^{2}\) which equals 324, but make sure to adds units, \(cm^{2}\). Hope this helps

The evolution of the function call (things '(11 -2 31)) is as follows:

(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().

The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.

Now, let's see the evolution resulting from the call (things '(11 -2 31)):

1. (things '(11 -2 31))

  Since the list is not empty, we move to the next if statement.

  The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(-2 31)).

2. (things '(-2 31))

  Again, the list is not empty.

  The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(31)).

3. (things '(31))

  The list is still not empty.

  The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '()).

4. (things '())

  The list is now empty, so the function returns an empty list.

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Answer: 74.52 if the question is how far she swims

Step-by-step explanation:

the answer is k=75!!