Which graph shows the line y = 2x + 3?

Here is the complete question.

\(Consider \ circle \ Y \ with \ radius \ 3 m \ and \ central \ angle \ XYZ \ measuring \ 70°. \\ \\ What \ is \ the \ approximate \ length \ of \ minor \ arc \ XZ?\\ \\ Round \ to \ the \ nearest \ tenth \ of \ a \ meter. \\ 1.8 meters \\ 3.7 \ meters \\ 15.2\ meters \\ 18.8 \ meters\)

Answer:

3.7 meters

Step-by-step explanation:

From the given information:

The radius is 3m

The central angle XYZ = 70°

To calculate the circumference of the circle:

C = 2 π r

C = 2 × 3.142 × 3

C = 18.852 m

Let's recall that:

The circumference length define a central angle of 360°

The approximate length of minor arc XZ can be determined as follow:

Suppose the ≅ length of minor arc XZ = Y

By applying proportion;

\(\dfrac{18.852}{360} = \dfrac{Y}{70}\)

Y(360) = 18.852 × 70

Y = 1319.64/360

Y = 3.66

Y ≅ 3.7 m

Answer:

B!!! 3.7

Step-by-step explanation:

ON EDG2020

the distance between 2 - 42 and 6 + i is sqrt[1685].

It looks like you're trying to find the distance between two complex numbers: 2 - 42 and 6 + i.

To find the distance between two complex numbers, we can use the distance formula, which is derived from the Pythagorean theorem. The distance between two complex numbers z1 and z2 is given by:

|z2 - z1| = sqrt[(Re(z2) - Re(z1))^2 + (Im(z2) - Im(z1))^2]

where Re(z) is the real part of z and Im(z) is the imaginary part of z.

Using this formula, we can find the distance between 2 - 42 and 6 + i as follows:

Re(2 - 42) = 2, Im(2 - 42) = -40

Re(6 + i) = 6, Im(6 + i) = 1

|6 + i - (2 - 42)| = sqrt[(6 - 2)^2 + (1 - (-40))^2]

= sqrt[4 + 1681]

= sqrt[1685]

what is  Pythagorean theorem?

he Pythagorean theorem is a fundamental concept in geometry that states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In equation form, this can be written as:

a^2 + b^2 = c^2

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Answer:

1. 11 AM

2. 10:30 AM

Step-by-step explanation:

Answer:

Number 5 she started at 11:00 am

number 6 she started at 10:30 am

Step-by-step explanation:

:)

When dividing the polynomial 814 + 4x^2 + 1 by the monomial denominator, the result is the same polynomial without any simplification or changes.



To divide the polynomial 814 + 4x^2 + 1 by a monomial denominator, we can write it as the sum of fractions. In this case, the denominator is just a constant, which means we can divide each term in the polynomial by that constant.

Let's divide each term by the constant denominator, which is 1:

(814 ÷ 1) + (4x^2 ÷ 1) + (1 ÷ 1)

Simplifying further, we get:
814 + 4x^2 + 1
Since we divided each term by 1, the polynomial remains the same.
Therefore, the simplified answer is: 814 + 4x^2 + 1

This method of division helps us to express the polynomial in a more organized and concise manner. It ensures that each term is appropriately divided by the monomial denominator, resulting in a clear representation of the original polynomial.

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Answer:

\(\sqrt 255-30\)

= -14.0312805773

Answer:

\( \sqrt{255 - 30} \)

\( \sqrt{225} \)

\( \sqrt{15²} \)

=±15 is a required answer

The value of x and y are 40° and 40° respectively

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

These are the few theorems of circle geometry

1. The angle at the centre is twice the angle at the circumference.

2. The angle in a semicircle is a right angle.

Angles in the same segment are equal.

3. Opposite angles in a cyclic quadrilateral sum to 180°

4. The angle between the chord and the tangent is equal to the angle in the alternate segment.

from triangle AOB,

angle 0 = 60° (opposite angles)

x = 180-( 80+60)

x = 180-140

x = 40°

x= y ( angle in the same segment are equal)

y = 40°

therefore the value of x and y are 40°

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Answer:

C. interpretation error

Step-by-step explanation:

Interpretation error is how data is interpreted (i.e. wrong meaning). For instance, when data results are presented in a wrong or misleading way.

Answer:

The answer is C.

Step-by-step explanation:

it just is.

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

We can use the formula for an arithmetic sequence to find the number of seats in the 30th row. Let a1 be the number of seats in the first row, d be the common difference between consecutive rows, and an be the number of seats in the nth row.

Then, we have:

a1 = 15 (given)

d = 5 (since each row has 5 more seats than the row in front of it)

an = a1 + (n-1)d

Substituting the given values, we have:

a30 = 15 + (30-1)5

a30 = 15 + 145

a30 = 160

Therefore, the 30th row contains 160 seats.

In an arithmetic sequence, each term is obtained by adding a fixed number (the common difference) to the previous term. In this problem, the number of seats in each row forms an arithmetic sequence, with a common difference of 5.

To find the number of seats in any given row, we can use the formula an = a1 + (n-1)d, where a1 is the number of seats in the first row, d is the common difference, and an is the number of seats in the nth row. In this case, we are given the number of seats in the first row (15) and asked to find the number of seats in the 30th row, so we plug in these values and solve for a30. The answer is 160 seats in the 30th row.

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Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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To determine the optimal moving average number, compare mean square error (MSE) values for three, four, and five weeks. Without these values, it's difficult to determine the best number of weeks.

To determine the best number of weeks of past data to use in the moving average computation, we need to consider the mean square error (MSE) values for different options. In this case, the MSE for the three-week moving average is given as 14.9.

To make an informed decision, we need to compare the MSE values for different numbers of weeks. Unfortunately, you haven't provided the MSE values for the four-week and five-week moving averages. Without these values, it is not possible to definitively determine which number of weeks would be the best for the moving average computation.

To make a recommendation, it would be helpful to have the MSE values for all three options (three, four, and five weeks). With that information, we could compare the MSE values and determine which number of weeks produces the smallest MSE, indicating a better fit to the data.

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Answer:

133.33, 200, 266.66

Step-by-step explanation:

GIven data

This is a ratio problem, and we will use the part to all method to get the solution

The given ratio is

= 2: 3: 4​

the total ratio

=2+3+4

=9

Hence the first part is

2/9= x/600

cross multiply

9x= 1200

x= 1200/9

x= 133.33

The second part

3/9=x/600

1/3=x/600

3x=600

x=200

The third part

4/9=x/600

4/9=x/600

9x=600*4

9x=2400

x=2400/9

x=266.66

Therefore the figures are

133.33, 200, 266.66

To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.

Let x be the number of cards from company A and y be the number of cards from company B.

The constraints are:

The objective function is:

  P = 0.30x + 0.32y (the profit from selling the cards)

To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.

Substituting this into the objective function:

  P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8

To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.

Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28

So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.

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The value of the expression by taking the common factors is \(\frac{24u^{3}}{6u^{7}} = \frac{4u^3}{u^7} = \frac{4}{u^4}\).

A mathematical phrase that expresses a portion of a whole is a fraction. It is expressed as a/b, where a and b are the numerator and denominator, respectively. The denominator is the total number of components that make up the whole, whereas the numerator is the number of parts that we have.

For instance, we can write 2/5 if we have 2 of 5 pizza slices. When representing values that fall between whole numbers, like 1/2 or 3/4, as well as values higher than 1, like 5/4 or 7/2, fractions can be utilized.

It is possible to multiply, divide, add, subtract, and convert fractions between multiple number systems, including mixed numbers and decimals.

The given expression can be simplified by taking the common factors of the numerator and the denominator as follows:

\(\frac{24u^{3}}{6u^{7}} = \frac{4u^3}{u^7} = \frac{4}{u^4}\)

Hence, the value of the expression by taking the common factors is \(\frac{24u^{3}}{6u^{7}} = \frac{4u^3}{u^7} = \frac{4}{u^4}\).

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Complete question:

Factorize the expression \($\rm \frac{24u^{3}}{6u^{7}}\)

To factor the quadratic expression 3x^2 - x - 2, we need to find two binomials that, when multiplied, give us the original expression.

The factored form of the quadratic expression can be determined by breaking down the middle term (-x) into two terms whose coefficients multiply to give the product of the coefficient of the squared term (3) and the constant term (-2). In this case, the product is -6. We are looking for two numbers whose sum is equal to -1 (the coefficient of the middle term) and whose product is equal to -6.

The numbers that satisfy these conditions are -3 and 2. We can now rewrite the expression using these numbers:

3x^2 - x - 2 = 3x^2 - 3x + 2x - 2

Next, we group the terms and factor by grouping:

(3x^2 - 3x) + (2x - 2) = 3x(x - 1) + 2(x - 1)

Now, we can see that we have a common binomial factor of (x - 1) in both terms. We can factor this out:

3x(x - 1) + 2(x - 1) = (3x + 2)(x - 1)

Therefore, the factored form of the quadratic expression 3x^2 - x - 2 is (3x + 2)(x - 1).

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

Two triangles, ABC and DEF, similar. <ABC = 101° and <BCA = 39°. Find the angle of FDE!

40°

The sum of all triangle angle is 180°

101 + 39 = 140°

180 - 140 = 40°

So, the angle of FDE is 40°

Subject : Math

Class : 7th Grade (Junior High School)

Chapter : -

Categorization Code : -

Keywords : Angle of a triangle

The total time taken by the elevator for the entire trip is 45 s + 15 s + 15 s + 15 s + 45 s = 135 seconds i.e., it takes the elevator 135 seconds to complete the entire trip.

The remote control car travels forward for 4 seconds at a speed of 2.0 m/s, then stops for 3 seconds, and finally travels backward for 3 seconds at a speed of 1.5 m/s.

The elevator travels from the lobby to the 36th floor in 45 seconds, stops for 15 seconds, descends to the 28th floor, stops for 15 seconds again, and returns to the lobby.

The total time taken by the elevator to complete this trip is calculated by adding up the times for each segment.

For the remote control car, it travels forward at 2.0 m/s for 4 seconds, covering a distance of 2.0 m/s * 4 s = 8 meters.

It then stops for 3 seconds, and finally travels backward at 1.5 m/s for 3 seconds, covering a distance of 1.5 m/s * 3 s = 4.5 meters.

Therefore, the total distance covered by the car is 8 m + 4.5 m = 12.5 meters.

For the elevator, it takes 45 seconds to go from the lobby to the 36th floor, and it stops for 15 seconds to let people off.

Similarly, it takes 15 seconds to go from the 36th floor to the 28th floor, and another 15 seconds to let people off.

Finally, it takes 45 seconds to return from the 28th floor to the lobby.

Therefore, the total time taken by the elevator for the entire trip is 45 s + 15 s + 15 s + 15 s + 45 s = 135 seconds.

In conclusion, it takes the elevator 135 seconds to complete the entire trip, including stops at different floors, based on the given information.

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Answer:

meema, papa, and then auntie jo

Step-by-step explanation:

you need to find the slope of each of them and then determine which one is the fastest and which one is the slowest.

meema: 48-24/4-2 = 4/2 = 2

papa: 40-24/5-3 = 16/2 = 8

auntie jo: 45-18/5-2 = 27/3 = 9

im in algebra two so you can trust my answer. happy holidays and stay safe!

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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The fraction, 13 / 20 when converted to percentage is 65%.

A fraction is a non-whole number that has a numerator and a denominator. An example of a fraction is 13 / 20. 13 is the numerator and 20 is the denominator.

A percentage is when a fraction is converted to a number out of 100. In order to convert a fraction to a percentage, multiply the fraction by 100. The sign that represents percentage is %. Percentage is used to measure the frequency of a dataset.

In order to rewrite the fraction as a percentage, multiply the fraction by 100.

Percentage of times he hit the target = ( number of times he hit the target / number of hits) x 100

(13 / 20) x 100 = 65%

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Work out the theoretical limit for such value of the y to be 8.4 based on the above statement.

Significant figures are now the quantity of digits that add to the correctness of a value, frequently a measurement. That the very first non-zero digit is where we keep tracking measured values. After the numeral, all the zeros to the correct of the previous non-zero digit are important. Consider the five important digits in the equation 0.0079800. If the zeros immediately following the last non-zero digit are applied to represent something, they are all significant.

Calculation:

y = 2a/b-c

a = 42,

b = 24,

c = 14

y = 2(42)/24-14

y = 84/10

y = 8.4

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Answer:

-5

Step-by-step explanation:

-8 + 3 = -5 if you use a number line to help you

Answer:

The answer to the equation is -5

The diameter of the circle is 24 units.

In geometry, the circle is a curved and closed polygon whose boundary line is at equidistance from a point called the center.

A diameter is a line drawn through the circle's center and joining two points on its circumference. The diameter of a circle is twice its radius

The circumference of a circle is known as the circle's perimeter and is the distance a circle travels around its boundary line.

The formula for the circumference of a circle is given by

Here we have

The circumference of a circle is 75.4 units

Let 'r' be the radius of the circle

As we know Circumference of a circle = 2πr    

=> 2πr = 75.4

=> 2r(22/7) = 75.4

=> 2r = (75.4 × 7)/22  

=> 2r = [527.8]/22

=> 2r = 23.99  

=> 2r = 24 (approx)

Therefore,

The diameter of the circle is 24 units.

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System state space model is: y = [1  0] x. y = 4 is an equilibrium point.  x(t) = P∧(Dt)P−1 x(0) is the state transition matrix. The system is stable. The transfer function of the system is U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2)  -2; 2  (s-2)] [0 2].

(a) i) System state space model:

x = [y  y']T;

dx/dt = [0  2; -1  1]x + [0  2]T u;

y = [1  0] x

Here, x represents the state vector.

ii) The equilibrium point(s) of the system if u is a constant value equal to 4: dy/dt = 0

Thus, 2y = 8 or y = 4. Therefore, y = 4 is an equilibrium point.

(b) The state transition matrix for autonomous linear systems is derived as follows:

If A is diagonalizable, then there exist an invertible matrix P and diagonal matrix D such that A = PDP−1.

Thus, x(t) = P∧(Dt)P−1 x(0) is the solution where exp(Dt) is calculated from the diagonal entries of D and t is the time of propagation.

(c) i)The stability of the system is determined by the eigenvalues of the system matrix A. If all the eigenvalues have a negative real part, the system is stable. If one of the eigenvalues has a positive real part, the system is unstable. And, if one eigenvalue has a zero real part, the system is marginally stable. Since the system has two eigenvalues with negative real parts, it is stable.

ii) The transfer function of the system is given as follows:

U(s) → X(s): X(s) = (sI − A)−1 B U(s)Y(s) → X(s): Y(s) = CX(s) = C(sI − A)−1 B U(s)

Thus, substituting the values of A, B, and C we get,Y(s) = [1 -1] [(s-2)²+ 4]⁻¹ [(s-2)  -2; 2  (s-2)] [0 2]

U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2)  -2; 2  (s-2)] [0 2]

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Answer:

40% of 2500=

100

40

×2500

=1000

Step-by-step explanation:

Write the calculation exactly as you say it:

To fully answer this question, I would need the information presented in Figure 3.14 that provides the computer solution. Unfortunately, I cannot access or view specific figures or external sources. However, I can explain the general approach to solving such a problem and provide a LaTeX code snippet to format the question.

To solve the given problem, it appears to be a linear programming problem where the goal is to optimize the total annual return subject to certain constraints. The decision variables are the number of shares of US Oil (U) and Huber Steel (H) to be purchased.

a. The optimal solution would provide the values of U and H that maximize the total annual return while satisfying the given constraints. The value of the total annual return would be the objective function value at the optimal solution.

b. The binding constraints are those that are active and determine the solution. These constraints limit the risk index, the total investment amount, and the maximum number of shares of US Oil. Interpretation of these constraints would depend on the specific problem and its context.

c. The dual values for the constraints represent the marginal values or shadow prices associated with each constraint. They indicate the rate of change in the objective function value for a small change in the right-hand side of the constraint. Interpretation of dual values would also depend on the specific problem and its context.

d. The impact of increasing the maximum amount invested in US Oil would depend on the objective function and the constraints. It could lead to a higher total annual return if US Oil has a higher return rate and the constraint on the risk index or total investment amount allows for it. However, if the maximum number of shares of US Oil is already binding, increasing the maximum investment amount would not be beneficial.

Please provide any additional information or specific values from Figure \(3.14\) if you have access to it, and I can assist further.

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Here the correct answer is (a) 0.05 .The probability of the random variable x, which is uniformly distributed between 70 and 90, having a value between 80 and 95 can be determined by calculating the area under the probability density function (PDF) curve within that range.

In the given scenario, x follows a uniform distribution with a minimum value of 70 and a maximum value of 90. Since the distribution is uniform, the PDF is constant within the interval [70, 90] and zero outside that range. To find the probability of x lying between 80 and 95, we need to calculate the proportion of the total area under the PDF curve within that range.

The range of 80 to 95 is partially outside the interval [70, 90], extending beyond the maximum value of 90. Therefore, the probability of x falling within this range is zero, as there is no overlap between the defined range of x and the desired range of 80 to 95. Hence, the correct answer is (a) 0.05, indicating that the probability is negligible or non-existent in this case.

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Answer:

Vertex= (-5,-4)

Another point=(0, -129)

Step-by-step explanation:

The vertex is also the maximum, and the point is also the y-intercept.