This equation shows how the cost of a plumber's visit is related to its duration in hours. C = 51d

The variable d represents the duration of the visit in hours, and the variable c represents the cost. If a plumber's visit lasted 1 hour, how much would it cost?

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

2 + m

Step-by-step explanation:

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer:

Concept: Perimeter

Answer:

The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Step-by-step explanation:

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The t-score should be used to find the 80% confidence interval for the population mean is $1.304

the interval of confidence:  This indicates the degree of confidence and ambiguity in a sampling process. It provides us with a range of outcomes, indicating that we would be reasonably certain that our genuine value or variable falls inside the range.

The sample size was 40 pharmacies (n=40). To calculate the degrees of freedom, use the formula: df=n-1=40-1=39.

The scenario specifies an 80% confidence level. So,α=1−CL=1−0.8=0.2 However, we wish to utilize the value for 2, which would be 0.22=0.1. We ought to locate the row for 39 freedom degrees and the column for t0.1 using the table. So the t-score for determining the 80% confidence interval is 1.304. We may alternatively use a calculator and enter 1-α2=0.9 as well as the degrees of freedom into invT, and then enter invT. (0.9,39).

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the percent of the variability in y that can be explained by variability in the regression model  = 31% = 0.31

Formula : Percent of the variability = SSR/SST*100

, where  = Coefficient of Determination.

SSR =  sum of squares of regression

SST = total sum of squares

 is the proportion of the variation of Y that can be attributed to the variation of x.

As per given , we have

SSR = 3252.4

SST=  3961.2

Then, the percent of the variability in y that can be explained by variability in the regression model =SSR

Hence, the percent of the variability in y that can be explained by variability in the regression model  = 31%

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Answer:

72.73% is the answer.

Hope this helps!

Answer:

6x^2y^2

Step-by-step explanation:

6x^2y^2(12x)(35y^3)

Answer:

GCF = 6*x²*y²

Step-by-step explanation:

GCF - greatest common factor

We have to find  greatest factor that are present in both expressions.

72x³y² and 210x²y⁵

72x²xy² and 210x²y²y³

72 = 8*9 = 4*2*3*3 = 6*12

210 = 3*7*10 = 3*7*2*5= 6*35

6*12*x²xy² and 6*35*x²y²y³

GCF = 6*x²*y²

30.8

you take 25^2 + 18^2 and find the square root of that which is 30.8 for this problem.

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Answer:

u need to know the diamater measure first

Step-by-step explanation:

The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132.

Let x be the total amount spent by students.

x follows normal distribution with mean μ = 650,

                                  standard deviation δ = 120

We take a simple random sample of size n = 10

We are asked to find average spending of 10 students ( \(x\) ) is between 600 and 700

We have to find P( 600 <= \(x\) <= 700)

According to the sampling distribution of the sample mean \(x\), it follows an approximately normal distribution with mean μ{\(x\)} = μ and standard deviation  δ{\(x\)} = {δ}/{√n}

Therefore here mean of \(x\),( μ{\(x\)} ) = 650 and

standard deviation of \(x\), δ{\(x\)} = {120}/{√10} = 37.9473

The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is,

Let Z= x - μ / δ

Z₁ = 600 - 650 / 37.9473 = -1.32 similarly

Z₂ = 700 - 650 / 37.9473 = 1.32

From standard normal distribution table, P( -1.32 <  \(x\)  <  1.32) = 0.8132

The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132

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The resulting curve is a limaçon (a type of cardioid) with a loop. It is centered at the origin and has an inner loop with a radius of 4/5 and an outer loop with a radius of 8/5. The curve has symmetry about both the x-axis and the y-axis. Option C is Correct.

To convert the equation R = -8 cos(θ) + 4 sin(θ) to Cartesian coordinates, we can use the following equations:

x = R cos(θ)

y = R sin(θ)

Substituting the given equation, we get:

x = (-8 cos(θ) + 4 sin(θ)) cos(θ)

y = (-8 cos(θ) + 4 sin(θ)) sin(θ)

Simplifying these equations, we get:

x =\(-8 cos^2\)(θ) + 4 cos(θ) sin(θ)

y = -8 cos(θ) sin(θ) +  \(4 sin^2\)(θ)

Simplifying further using the identity we get:

x = -8/5 + 4/5 cos(2θ)

y = 4/5 sin(2θ)

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The expression "∫(from 3 to 6) f(x) dx" represents the definite integral of the function f(x) over the interval from x = 3 to x = 6.

In the context of a trail, where f(x) represents the slope at a distance x miles from the start, this integral represents the net change in elevation between the 3rd and 6th miles of the trail.

To understand this in terms of elevation, we can interpret the integral as the accumulated sum of all the small changes in elevation over the interval from x = 3 to x = 6.

Each infinitesimally small change in x (dx) is multiplied by the corresponding slope (f(x)) at that point and then summed up.

So, 6 3 ∫ f(x) dx represents the total change in elevation along the trail between the 3rd and 6th miles, taking into account the varying slope at different points on the trail.

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Answer:

D

Step-by-step explanation:

y<2

y<x+2

y>-1/4-3

if you plug in one of the points in the included grey area the equations should be true

Answer:

increased = addition

twice = multiply by 2

is = equals

a number = x

16+2x=-56

subtract 16 from both sides

2x=72

divide by 2

x=36

Step-by-step explanation:

Answer: The exact distance between the 2 points is √2, but the approximate distance is 1.41421356 (repeating decimal)

Hope this helped :D

Given the recursion formula for a sequence is t_n=2t_n−1−4, t_1=4.

We have to determine the sequence of numbers from the given options.

So, let's use the given recursion formula and find the sequence of numbers.

Option a) 4,4,4,4,4,...

Given that t_1=4∴ t_2=2t_1−4=2(4)−4=4 and t_3=2t_2−4=2(4)−4=4 and t_4=2t_3−4=2(4)−4=4 and so on...

Therefore, the sequence of numbers of options a) is 4,4,4,4,4,...

Option b) 4,8,16,32,64,...Given that t_1=4∴ t_2=2t_1−4=2(4)−4=4 and t_3=2t2−4=2(4)−4=4andt4=2t3−4=2(4)−4=4 and t_5=2t_4−4=2(4)−4=4 and so on...

Therefore, the sequence of numbers of option b) is 4,8,16,32,64,...

Option c) 4,8,12,16,20,24,...Given that t_1=4∴ t_2=2t_1−4=2(4)−4=4 and t_3=2t2−4=2(4)−4=4 and t4=2t_3−4=2(4)−4=4 and so on...

Therefore, the sequence of numbers of option c) is 4,8,12,16,20,24,...

From the above calculations, we can observe that the accurate sequence of numbers for the given recursion formula is 4,4,4,4,4,...

Option a) is the correct answer.

The accurate sequence of the option (a).

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Answer:

0.3

Step-by-step explanation:

the mode is 6. 6 x 0.05 is 0.3
tell me if this is right or not

Answer: It is one out of ten or 1/10 or 10%

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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The equation written in slope-intercept form withn a slope of -5 and a y-intercept of 5 is y = -5x + 5

intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

equation of straight line in slope intercept form is given as

y = mx + c

where m = slope and c = y-intercept

from the question, it means m = -5 and c = 5

substituting we have,

y = -5x + 5

In conclusion, the equation in slope-intercept form is y = -5x + 5

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Answer:

Each blueberries serving contain 21 calories or the slope of this is 21

Step-by-step explanation:

The slope is rise/run

We see that when the x increase by 1, the y increase by 21, so the slope is 21.

Answer:

B,C,D

Step-by-step explanation:

Answer:

number 2

number 3

number 4

Step-by-step explanation:

In percentage, the 10% of her collection is a 18 coins.

According to the statement

We have to find that the 10% of her collection.

So, For this purpose, we know that the

A percentage is a number or ratio expressed as a fraction of 100.

From the given information:

Aisha has a collection of 180 coins. how many coins represent 10% of her collection

Then

The percentage of the collections of the 180 coins = 10% of 180 coins

Then

Collection of the coins = 10% of 180

Collection of the coins = 10/100*180

Collection of the coins = 0.1*180

Collection of the coins = 18.

So, In percentage, the 10% of her collection is a 18.

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The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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Answer:

x = 4

Step-by-step explanation:

-7x - 8 = -10x + 4

-7x - 8 + 8 = -10x + 4 + 8

-7x = -10x + 12

-7x + 10x = -10x + 12 + 10x

3x = 12

\(\frac{3x}{3}\) = \(\frac{12}{3}\)

x = 4

Yes, because\(np0 > 10\)and \(n(1-p0) > 10\).

Thus, the sampling distribution of p-hat is approximately normal, given the conditions of \(np0 > 10 and n(1-p0) > 10.\)

This is because the sampling distribution of p-hat follows the Central Limit Theorem, which states that when sample sizes are greater than 30,

the sampling distribution of the sample proportion will be approximately normal. The Central Limit Theorem is used in this example because the number of BYU students from Texas (n) is greater than 30, so the sample proportion (p-hat) is normally distributed.

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