What is the value of r in the equation?

Negative 1.5 (4 minus r) = negative 12
–6
–4
4
6

Answer:

y=-70

Step-by-step explanation:

10.4/10y=-28.10

4y=-280

y=-70

Answer:

6,4,2

Step-by-step explanation:

36 = 6*6

36= 4*9

36= 2*18

Answer: 1, 2 and 3

Step-by-step explanation:

The other three numbers will be factors of 6.  This is because every multiple of 6 will also be a multiple of every factor of 6.

Factors of 6 are:

1, 2, 3 and 6.

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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Answer:

\(a_{n}\) = 2n - 3

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

given a₁ = - 1 and a₅ = 7 , then

a₁ + 4d = 7 , that is

- 1 + 4d = 7 ( add 1 to both sides )

4d = 8 ( divide both sides by 4 )

d = 2

then

\(a_{n}\) = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

\(a_{n}\) = 2n - 3

Therefore the answer to when math classroom of 30. the students affected by the disease is modeled by the logistic function is first case : 6 , second case : 15.68  and third case : 5.18

A function is a particular relation that transfers every element in set A to exactly one element in set B. There cannot be an empty set in either A or B. For a specific input, a function defines a specific output.

Here ,

Given:

P(t) =  \(\frac{180}{5 + 25e^{-0.45t} }\)

First case :how many students understand exponential functions initially is

Where t is number of days

t=0

P(0)= \(\frac{180}{5 + 25e^{-0.45(0)} }\)

P(0)=180/(25+5)

P(0)=6

Second case: how many students will understand exponential functions after 3 days

t=3

P(3)=\(\frac{180}{5 + 25e^{-0.45(3)} }\)

P(3) ≈ 15.68

Third case: how many days will it take for 24 students to understand exponential functions

t=24

P(24)=\(\frac{180}{5 + 25e^{-0.45(24)} }\)

P(24)  ≈ 5.18

Therefore the answer to when math classroom of 30. the students affected by the disease is modeled by the logistic function is first case : 6 , second case : 15.68  and third case : 5.18

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in triangle ΔCDE:

CD ≈ √1466

∠C ≈ -17

∠D = 90

in triangle  ΔJKL:

JL ≈ √808

∠K = 102 - ∠L

∠L = ∠L

We have,

To solve for the missing values in the given triangles, we can use the angle sum property and the side length ratios in triangles.

so,

For ΔCDE:

Given:

∠E = 107 degrees

CE = 29

DE = 25

To find the CD, we can use the Pythagorean theorem because CDE is a right triangle:

CD² = CE² + DE²

CD² = 29² + 25²

CD²= 841 + 625

CD² = 1466

CD ≈ √1466

To find ∠C, we can use the fact that the sum of angles in a triangle is 180 degrees:

∠C = 180 - ∠E - ∠D

∠C = 180 - 107 - 90

∠C = 180 - 197

∠C ≈ -17 (The negative angle suggests that there might be an error or inconsistency in the given information)

To find ∠D, we can use the fact that the sum of angles in a triangle is 180 degrees:

∠D = 180 - ∠C - ∠E

∠D = 180 - (-17) - 107

∠D = 180 + 17 - 107

∠D = 90

And,

For ΔJKL:

Given:

∠J = 78 degrees

KJ = 18

KL = 22

To find JL, we can use the side length ratios in triangles:

JL² = KJ² + KL²

JL² = 18² + 22²

JL² = 324 + 484

JL² = 808

JL ≈ √808

To find ∠K, we can use the fact that the sum of angles in a triangle is 180 degrees:

∠K = 180 - ∠J - ∠L

∠K = 180 - 78 - ∠L

∠K = 180 - 78 - ∠L

∠K = 180 - 78 - ∠L

∠K = 180 - 78 - ∠L

∠K = 180 - 78 - ∠L

∠K = 102 - ∠L

To find ∠L, we can use the fact that the sum of angles in a triangle is 180 degrees:

∠L = 180 - ∠J - ∠K

∠L = 180 - 78 - (102 - ∠L)

∠L = 180 - 78 - 102 + ∠L

∠L = 180 - 180 + ∠L

∠L = ∠L

Therefore,

in ΔCDE:

CD ≈ √1466

∠C ≈ -17 (possible error or inconsistency in the given information)

∠D = 90

And,

in ΔJKL:

JL ≈ √808

∠K = 102 - ∠L

∠L = ∠L

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Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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2x²t + 7xy

    To simplify, we will combine like terms.

    Given:

5xy - x²t + 2xy + 3x²t

    Reorder like terms:

5xy + 2xy + 3x²t - x²t

    Combine like terms:

    ➜ 5 + 2 = 7

    ➜ 3 - 1 = 2

7xy + 2x²t

    Reorder by degree:

2x²t + 7xy

The composite transformations of the triangle ΔABC, with vertices A(1, -2), B(4, -1), and C(5, -3), are the points;

A''(-3, 6)

B''(6, 9)

C''(9, 3)

A composite transformation is the transformation obtained by the combination of two or more transformation on a geometric figure.

The coordinates of the vertices of the triangle are; A(1, -2), B(4, -1), and C(5, -3), therefore, we get;

1. <-2, 4>

The transformation <-2, 4> is a translation 2 units to the left and 4 units upwards

The coordinates of the image following the transformation are therefore;

A(1, -2) → <-2, 4> → (1 + -2, -2 + 4) = A'(-1, 2)

B(4, -1) → <-2, 4> → (4 + -2, -1 + 4) = B'(2, 3)

C(5, -3) → <-2, 4> → (5 + -2, -3 + 4) = C'(3, 1)

2. The dilation of a point (x, y), by a scale factor of k can b obtained using the following formula;

(x, y) → Dilation by a scale factor of k → (k·x, k·y)

Therefore, the dilation of the image of the triangle ΔABC by a scale factor of k = 3, can be obtained as follows;

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Answer:

Right angle is 90 degrees

Acute is less than 90

Obtuse is greater than 90 but less than 180

Answer:

2x+10

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 2x+14

Step-by-step explanation:4-2x+10 = 2x+14

An object moving along a curve in the xy-plane has position (x(t), y(t)) with dx/dt = x(t) = \(\int\limits{4 - t^2} \, dt\) = 4t - \(\frac{6t^3}{3}\) + c = 4t - \(2t^3\) + c => x(1) = 7

A route of continually moving points is referred to in mathematics as a curve (see continuity). In most cases, equations provide such pathways. A straight line or a collection of end-to-end linked line segments may also be described using this term. An uninterrupted, sloping line without abrupt bends is referred to as a curve. Bending it at least once to reverse direction will allow you to identify it.

Arcs, sectors, and segments are examples of two-dimensional curved forms, as are circles, ellipses, parabolas, and hyperbolas. As opposed to this, three-dimensional curved forms include objects like spheres, cylinders, and cones.

An object moving along a curve in the xy-plane has position (x(t), y(t)) with dx/dt =

x(t) = \(\int\limits{4 - t^2} \, dt\) = 4t - \(\frac{6t^3}{3}\) + c = 4t - \(2t^3\) + c

x(1) = 7

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The rate of change of the level of the swimming pool is -0.019 inches per hour.

The rate of change will be given by the quotient between the change in the level of the water (-3/16 inches) and the time in which that change happens.

We know that the change happens between 10 pm and 7:45pm, so the number of hours is:

2 hours + 7 hours + 45 min

Where:

1 hour  = 60 min

45 min = 45/60 hours = 0.75 hour

Then the total time is:

2h + 7h + 0.75h = 9.75h

Then the rate of change is:

R = (-3/16 inches)/(9.75 h) = -0.019 inches per hour.

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SOLUTION

We want to find (A ∩ B)’ we have to first find (A ∩ B), that is elements that are common to both A and B, elements seen in A and also seen in B

So

Now (A ∩ B)’ are elements seen in the universal set U that are not in (A ∩ B). These are

Hence the answer is c) {1, 3, 4, 5, 6, 7}

The value of given x is 16

Given that:

Perimeter of square = 76 cm

Side of square = (x + 3)

Find:

The value of x

Computation:

Perimeter of square = 4[Side]

76 = 4[x + 3]

76 = 4x + 12

4x = 76 - 12

4x = 64

x = 64 / 4

x = 16

The value of x = 16

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Answer:

A rectangle.  

Step-by-step explanation:

A square would have four congruent sides.  Because this does not and it has the four right angles, it is a rectangle.

Solving a quadratic equation we can see that the object will be 50 feet above the ground after 5 seconds.

Here we know that the height of the object is modeled by the quadratic equation:

d = 35t - 5t²

To find the time when the object will be at 50 feet above the ground we need to solve the equation:

50  = 35t - 5t²

We can rewrite this as:

5t² - 35t + 50 = 0

Dividing it all by 5:

t² - 7t + 10 = 0

Using the quadratic formula we will get the solutions:

\(t = \frac{7 \pm \sqrt{(-7)^2 - 4*10} }{2} \\\\t = \frac{7 \pm 3 }{2}\)

We only care for the positive solution which is:

t = (7 + 3)/2

t = 5

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The sum of the first 10 terms is approximately 414.66667. The estimated error is less than or equal to 0.00008.

The sum of the first 10 terms of the series can be approximated by evaluating the expression 9 + n\(^5\) for n = 1 to 10 and summing the results.

The calculated sum is 1 + 32 + 243 + 1024 + 3125 + 7776 + 16807 + 32768 + 59049 + 100000, which equals 41466667.

To estimate the error, we can use the remainder term formula Rn ≤ (1/x\(^5\)) where x is the value of n.

Substituting x = 10, we get R10 ≤ 1/10\(^5\) = 0.00001.

Rounding the estimated error to five decimal places, we have an error of 0.00001.

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Answer:

A root or zero of a function is a number that, when plugged in for the variable, makes the function equal to zero. Thus, the roots of a polynomial P ( x ) are values of x such that P ( x ) = 0 . The Rational Zeros Theorem

Step-by-step explanation:

Answer:     Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:

Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.

Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.

Canadian Culture:

Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.

Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.

Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.

Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.

Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.

In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.

Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:

a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.

b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.

c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.

d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies

Step-by-step explanation:

The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Answer: About 10 weeks

Step-by-step explanation:

Step 1- 6.25 + 3.25 = 9.50

Step 2- 84 - 9.50 = 74.50

Step 3- 74.50 divide by 7

Step 4- Answer 10. 64285 and so on

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Answer: The angle through which the pendulum travels = \(35^{\circ}\).

Step-by-step explanation:

Formula: Length of arc: \(l= r\theta\) , where r= radius ( in radians) , \(\theta\) = central angle.

Given: Length of pendulum (radius) = 45 cm

Length of arc= 27.5 cm

Put these values in the formula, we get

\(27.5=45\theta\\\\\Rightarrow\theta=\dfrac{27.5}{45}=\dfrac{275}{450}\\\\\Rightarrow\ \theta=\dfrac{11}{18}\text{ radians}\)

In degrees ,

\(\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]\)

\(\theta=35^{\circ}\)

Hence, the angle through which the pendulum travels = \(35^{\circ}\).

Answer:

y=-2/3x+5

Step-by-step explanation:

Step-by-step explanation:

since the arc angle VTW = 125°, and the line UTW is clearly a diameter through the circle T, then the arc angle UTV is the supplementary angle to VTW. that means they cover a half-circle and therefore 180°.

arc angle UTV = 180 - arc angle VTW =

= 180 - 125 = 55°

Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes