which is true about matching to sample? group of answer choices at asymptote, pigeons make the correct choice on nearly 100% of the matching to sample trials.

Using linear functions, we have that Company A is cheaper than Company B for distances of less than 40 miles.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we consider that:

Hence the functions are:

Company A is cheaper when:

A(x) < B(x)

40 + 2.5x < 100 + x

1.5x < 60

x < 60/1.5

x < 40.

For distances of less than 40 miles, company A is cheaper.

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer: x = 0 and - 2

(x+2/x-2) + (x-2/x+2) = (8-4x)/(x^2-4)

=> ((x+2)^2 + (x-2)^2) / (x^2 - 4)  =  (8 - 4x)/ (x^2 - 4)

The denominator gets canceled.

=> x^2 + 4 + 4x +x^2 + 4 -4x = 8 - 4x

=> 2x^2 + + 4x = 0

=> x(x+2) = 0

x = 0 or 2 Answer.

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When Joan examines the graph, she notes that there are always three times as many steps as there are feet. She is not correct.

A simple graph is a graph that does not have more than one edge between any two vertices and no edge starts and ends at the same vertex. In other words a simple graph is a graph without loops and multiple edges.

According to the graph we were shown, if she takes 6 steps, that implies she is walking 18 feet. To write this down in mathematics, let x be the number of steps she is taking and y be the number of feet she has covered. If x = 6 and y = 18, then x  3 times equal to y.

From the graph, we can see that when the steps are two, then feet are six, the steps are four, then feet are twelve, and the steps are six, then feet are eighteen.

x= 2,4,6 then y = 6,12,18

x*n = y

2 * n = 6.

4* n = 12

6*n = 18 and so on

n = 3

that is x*3 = y

3times steps is the number of feet, is the correct statement.

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Answer: A=32 B=19

Step-by-step explanation:

It is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques.

Multicollinearity is a statistical phenomenon where two or more independent variables in a regression model are highly correlated with each other. This can cause problems in the regression model as it becomes difficult to distinguish the individual effects of the independent variables on the dependent variable.
When multicollinearity is present in a regression model, the p-values of the slopes of the independent variables are affected. The p-value measures the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. The null hypothesis in a regression model is that the slope of the independent variable is zero, meaning that there is no relationship between the independent variable and the dependent variable.
Multicollinearity can cause the standard errors of the slopes to increase, leading to inflated p-values. In other words, the significance of the relationship between the independent variable and the dependent variable may be underestimated. This is because the highly correlated independent variables are both trying to explain the same variation in the dependent variable, leading to an unreliable estimate of the effect of each independent variable on the dependent variable.
Therefore, it is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques. This can help to ensure that the regression model produces reliable estimates of the effects of the independent variables on the dependent variable.

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the initial value problem dy/dt = 5y, y(0) = y0, the solution has a vertical asymptote at t = 4 only when y0 = 0, and the time interval of existence is the entire real line, (-∞, ∞).

The initial value problem given is: dy/dt = 5y, y(0) = y0

The solution to this differential equation is: y(t) = y0 × e⁽⁵t⁾

To find the value(s) of y0 for which the solution has a vertical asymptote at t = 4, we need to set t = 4 and solve for y0 such that the solution becomes infinite.

y(4) = y0 × e⁽⁵ˣ⁴⁾ = y0 × e²⁰

For the solution to have a vertical asymptote at t = 4, y0 × e²⁰ must be infinite. This means that y0 must be equal to 0.

Next, we need to determine the time interval of existence C<4 for the solution. The solution is continuous and differentiable for all values of t, so the time interval of existence is the entire real line, (-∞, ∞). Therefore, for the initial value problem dy/dt = 5y, y(0) = y0, the solution has a vertical asymptote at t = 4 only when y0 = 0, and the time interval of existence is the entire real line, (-∞, ∞).

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Answer:

c d a d

Step-by-step explanation:

i got it correct

the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

To find the critical value zα/2 that corresponds to an 80% confidence level, we need to determine the value of α/2.

A confidence level of 80% implies that the remaining area under the standard normal distribution curve is (1 - 0.80) = 0.20.

Since the standard normal distribution is symmetric, we divide this remaining area equally between the two tails, resulting in

α/2 = 0.10.

To find the corresponding critical value, we look up the z-score that corresponds to an area of 0.10 in the standard normal distribution table (also known as the z-table) or use a statistical calculator.

The critical value zα/2 for α/2 = 0.10 is approximately 1.2816.

Therefore, the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

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the vertex of the function f(x) = 3x²- 6x - 1 is (1, -4).

A quadratic function is a type of mathematical function that has the form:

f(x) = ax² + bx + c

where x is the input or independent variable, f(x) is the output or dependent variable, and a, b, and c are constants, with a ≠ 0.

To find the vertex of the quadratic function f(x) = 3x² - 6x - 1, we can use the formula:

x = -b/2a,

y = f(-b/2a)

where "a" is the coefficient of the x^2 term, "b" is the coefficient of the x term, and "c" is the constant term.

In this case, a = 3, b = -6, and c = -1, so we have:

x = -(-6)/(2 x 3) = 1

To find the y-coordinate of the vertex, we can substitute x = 1 into the function and evaluate:

f(1) = 3(1)² - 6(1) - 1 = -4

Therefore, the vertex of the function f(x) = 3x² - 6x - 1 is (1, -4).

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Driver's data set that has a mode that is greater than the mean or median is Fabian and a median with the lowest value of the three measures is Kadisha.

Data of Fabian: 7, 12, 11, 23, 13, 23, 30

Mean = sum of all observation / total no. of observation

Mean = (7+ 12+ 11+ 23+ 13+ 23+ 30) / 7

Mean = 17

Mode = most repeating observation

Mode = 23

For median we have to write observation in ascending order

7,11,12,13,23,23,30

Median = (N+1)/2

Where N = No. of observation

Median = (7+1)/2

Median = 4th observation

Median = 13

Here mode that is greater than the mean or median.

similarly for,

Kadisha: 8, 17, 23, 16, 17, 18, 125

Mean = 32

Median = 17

Mode = 17

Here median with the lowest value of the three measures.

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The supply curve swings left along the demand curve, raising the price of the pizza shops to close. If individuals just have a greater interest in beer, the demand curve will shift to the right, which will cause the price to rise as the supply curve is moved to the right. Apply this knowledge to the rest of the analysis.

If the price increase was modest, then the movement in supply in the pizza market must have outweighed the shift in demand. The supply shift in the pizza market must have been greater than the demand shift if the equilibrium amount of pizzas declines. The price of pizzas must have changed as a result of whichever modification happened first. If the amount of pizzas in the equilibrium market falls, the demand shift must have been greater than the supply shift.

The demand curve changes to its proper position. It happens as a result of people switching to eating pizza instead of pizzas. The new equilibrium price rises as a result of the new demand curve and the existing supply curve.

A rise in supply and a decline in demand will result in a decrease in the equilibrium price, but the impact on the equilibrium quantity cannot be predicted. Consumers now place less significance on price for any quantity, and producers are willing to simply accept a lower price; as a result, the price will decrease.

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Solving for the variable of x in the equation, the value of x is: 10.

Given the equation, 8(2x - 1) - 5x = 102, to solve for the variable, x, we need to isolate "x".

8(2x - 1) - 5x = 102

Open the bracket

16x - 8 - 5x = 102

Combine like terms

16x - 5x - 8 = 102

11x - 8 = 102

Add 8 to both sides of the equation

11x - 8 + 8 = 102 + 8

11x = 110

Divide both sides by 11

11x/11 = 110/11

x = 10

Therefore, solving for the variable of x in the equation, the value of x is: 10.

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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Answer:

C

Step-by-step explanation:

Answer:

\(60+10x=6\)

Step-by-step explanation:

Hi there!

\(4+\displaystyle \frac{2}{3} x=\frac{2}{5}\)

To get rid of the fraction \(\displaystyle \frac{2}{3}\), multiply both sides of the equation by 3 (the denominator):

\(3(4+\displaystyle \frac{2}{3} x)=3(\frac{2}{5})\\\\3*4+\frac{3*2}{3}x =\frac{3*2}{5} \\\\12+2x =\frac{6}{5}\)

To get rid of the fraction \(\displaystyle \frac{6}{5}\), multiply both sides of the equation by 5 (the denominator):

\(\displaystyle 5(12+2x) =5(\frac{6}{5})\\\\5*12+5*2x=\frac{5*6}{5} \\\\60+10x=6\)

I hope this helps!

Answer:

theleangreenbear has the correct answer, but it could be reduced from

60 + 10x = 6 to

30 + 5x = 3

Step-by-step explanation:  divide both sides by 2

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

121.666667

Step-by-step explanation:

When 365 is divided by 3 the result or quotient is 121.66.

To calculate 365 divided by 3, we can perform long division:

Set up the division problem.

Determine how many times 3 can fit into the first digit of the dividend (3). The answer is 1.

Bring down the next digit (6) to the right of 3.

Determine how many times 3 can fit into the new number (36). The answer is 12.

Now, bring down the next digit (5) to the right of 12.

Determine how many times 3 can fit into the new number (53). The answer is 17.

Since there are no more digits to bring down, the division is complete.

The final result is: 365 ÷ 3

= 121.666...

Hence, 365 is divided by 3 to get 121.66.

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The correct classifications for the given equations are:

1. Separable

2. Separable

3. Neither separable nor linear.

To determine whether each first-order differential equation is separable, linear, both, or neither, we need to analyze the form and properties of the equations. The given equations are:

1. dy/dx = y + e*sin(a)

2. dy/dx = y * ln(r^2 * y)

3. dy/dx = (1/x^2) * e^(3y) - x^2 * y^2 * dy/da

1. The equation dy/dx = y + e*sin(a) is separable because we can rewrite it as dy/(y + e*sin(a)) = dx. By separating the variables, we can integrate both sides with respect to their respective variables.

2. The equation dy/dx = y * ln(r^2 * y) is separable because we can rewrite it as (1/y) dy = ln(r^2 * y) dx. By separating the variables, we can integrate both sides with respect to their respective variables.

3. The equation dy/dx = (1/x^2) * e^(3y) - x^2 * y^2 * dy/da is neither separable nor linear. It involves both the derivative of y with respect to x and the derivative of y with respect to a, making it a partial derivative equation. This equation cannot be separated into variables or expressed in a linear form.

Therefore, the correct classifications for the given equations are:

1. Separable

2. Separable

3. Neither separable nor linear.

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The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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`The measure or dimensions of the shorter sides will be 2.65 cm, given that the longer sides measure 40. 5 centimeters and the shorter sides measure 34. 5 centimeters and the scale-factor used for reduction is 13.

Given that,

The longer sides of the rectangular measure 40.5 cm.

The shorter sides of the rectangular measure 34.5 cm.

Scale factor = 13.

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the second figure.

To find the measure of the shorter sides of a rectangle, multiply the length of the shorter sides by the scale factor.Abby decides to reduce the scale drawing of her living room by a scale factor of 13.

Multiply 34.5 cm by 1/13 to find the length of the shorter sides in the reduced scale drawing as follows;`

34.5*1/13=2.65

The measure of the shorter sides will be 2.65 cm.

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Answer:

Step-by-step explanation:

-6x+5=1

-5  -5

_____

-6x=-4

÷-6  ÷-6

_________-

x=4/6

Hope this helps :3

Answer:

i.) 2/3

Step-by-step explanation:

-6x+5=1

move constant to the right and change its sign.

= -6x = 1-5

calculate

= -6x = -4

divide both sides of the equation by -6

= -6x/6 = -4/-6

=2/3.

I was able to do only the first one.

But still reward me by giving me the brainliest please.

g∘f(x) or g(f(x)) is equal to 27x + 43.

To find g∘f(x) or g(f(x)), we need to substitute the function f(x) into the function g(x).

Given:

f(x) = 3x + 4

g(x) = 9x + 7

To find g∘f(x), we substitute f(x) into g(x) as follows:

g(f(x)) = g(3x + 4)

Now, we substitute 3x + 4 for x in the function g(x):

g(f(x)) = 9(3x + 4) + 7

Expanding and simplifying:

g(f(x)) = 27x + 36 + 7

g(f(x)) = 27x + 43

Therefore, g∘f(x) or g(f(x)) is equal to 27x + 43.

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Answer:

the answer is for sure 1-4