What are the coordinates of point R on the graph? Choose numbers to move to the lines to answer the question

Answer:

0.5 : 0.75

Step-by-step explanation:

because 1/2 is .5 in decimal form and 2/3 is .75 in decimal form

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer:

yes he did make it, when he left at 17:00 he had 3:00 hours to make it to the party. if you divide 200/80=2.5 meaning he's able to make it in 2.5 hours.

Answer:

hola buenos skskskskseolelelldd

The initial speed of the object launched at an angle of 11.7 degrees from the horizontal can be calculated by using the range formula, and it is rounded to 1 decimal place.it is approximately 9.9m/s.

To find the initial speed of the object, we can use the range formula for projectile motion, which is given by:
Range = (initial velocity^2 * sin(2 * launch angle)) / gravity
In this case, the range is given as 15.5 meters, and the launch angle is 11.7 degrees. The gravity is a constant, approximately 9.8 m/s^2.
Rearranging the formula to solve for the initial velocity, we have:
initial velocity = sqrt((range * gravity) / sin(2 * launch angle))
Substituting the given values into the formula, we can calculate the initial velocity:
initial velocity = sqrt((15.5 * 9.8) / sin(2 * 11.7))
Evaluating this expression, the initial velocity comes out to be approximately 9.9 m/s when rounded to 1 decimal place.
Therefore, the initial speed of the object launched at an angle of 11.7 degrees from the horizontal is approximately 9.9 m/s.

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In respοnse tο the questiοn, we may say that  In 100 years, there will be functiοn arοund 125 grammes left.

Mathematicians research numbers, their variants, equatiοns, assοciated structures, fοrms, and pοssible cοnfiguratiοns οf these. The wοrd "functiοn" describes the cοnnectiοn between a grοup οf inputs, each οf which has a cοrrespοnding οutput. A functiοn is a cοnnectiοn between inputs and οutputs where each input results in a single, distinct οutcοme. Each functiοn has a dοmain, cοdοmain, οr scοpe assigned tο it. Functiοns are usually denοted by the letter f. (x). An x is entered. On functiοns, οne-tο-οne capabilities, sο multiple capabilities, in capabilities, and οn functiοns are the fοur main categοries οf accessible functiοns.

Setting t = 0 in the prοvided functiοn will reveal the sample's οriginal quantity:

A(0) = 647

\((1/2)^{(0/30)}\) = 647

As a result, there are 647 grammes οf starting material in the sample.

In οrder tο calculate the amοunt left after 100 years, we must enter t = 100 intο the supplied functiοn:

\(A(100) = 647(1/2)^{(100/30) }= 647(1/2)^{(10/3)}\) ≈ 125.24

Thus, there will be arοund 125 grammes left after 100 years (rοunded tο the nearest gram).

There are 647 grammes οf starting material in the sample.

In 100 years, there will be arοund 125 grammes left.

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The initial amount of the sample is 647 grams and the amount remaining after 100 years is 69 grams.

what is functiοn?

Mathematicians research numbers, their variants, equatiοns, assοciated structures, fοrms, and pοssible cοnfiguratiοns οf these. The wοrd "functiοn" describes the cοnnectiοn between a grοup οf inputs, each οf which has a cοrrespοnding οutput.

The given exponential function is:

A(t) = 647(1/2)^(t/30)

where t is the time in years.

To find the initial amount of the sample, we need to evaluate A(0):

A(0) = 647(1/2)^(0/30) = 647(1) = 647

Therefore, the initial amount of the sample is 647 grams.

To find the amount remaining after 100 years, we need to evaluate A(100):

A(100) = 647(1/2)^(100/30) ≈ 69.35

Rounding this to the nearest gram gives the amount remaining after 100 years as 69 grams.

Therefore, the initial amount of the sample is 647 grams and the amount remaining after 100 years is 69 grams.

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Answer:

6x²+10x

Step-by-step explanation:

2x(3x+5)

Distribute 2x to the terms in the bracket.

2x(3x) + 2x(5)

2x × 3x + 2x × 5

Multiply the terms.

6x²+10x

The answer is 6x²+10x.

Answer:

\(\huge\boxed{\sf 6x\² + 10x}\)

Step-by-step explanation:

Given expression:

= 2x (3x + 5)

Distribute

= 6x² + 10x

\(\rule[225]{225}{2}\)

Answer:

It's 46°

Step-by-step explanation:

\(m \angle AMY = 62 - 37 = 25 \degree\)

\(m \angle CME = 159 - 138 = 21 \degree\)

\({ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}\)

The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the picture,

The measure of angle PMY = 62 degrees

The measure of angle PMA = 37 degrees

The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37

= 25 degrees

Similarly,

Angle CME = 79 - 21 = 58 degrees

m∠AMY+m∠CME = 25 + 58 = 83 degrees.

Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

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Altshuller's Theory of Inventive Problem Solving (TRIZ) consists of 40 principles that help in generating innovative solutions. Five of these principles are explained below, each with an example.

Principle of Segmentation: This principle suggests dividing an object into independent parts or sections to improve its functionality or solve a problem. For example, in the automotive industry, the introduction of modular car designs allowed for easier assembly and maintenance. Each component can be independently replaced or repaired, leading to cost savings and increased efficiency.

Principle of Spheroidality: This principle states that transforming an object or its parts into a more rounded or spherical shape can enhance its performance. An example is the design of golf balls. By using dimples to create a spherical shape, the airflow around the ball is improved, resulting in greater lift and longer flight distances.

Principle of Preliminary Anti-Action: This principle involves performing an action in the opposite direction or introducing a countermeasure beforehand to prevent potential problems. A classic example is the use of seat belts in cars. By wearing seat belts, individuals take a preliminary anti-action to mitigate the risk of injury in the event of a collision.

Principle of Universality: This principle suggests designing an object or process to perform multiple functions or work in different environments. A common example is a smartphone, which combines various features such as communication, internet browsing, photography, and navigation into a single device, providing versatility and convenience.

Principle of Feedback: This principle involves using feedback loops to monitor and adjust a system's performance. An example is a thermostat used in heating systems. It senses the ambient temperature and provides feedback to the heating system, enabling it to maintain a consistent and desired temperature in the environment.

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The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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Answer:

There are 0.454 kg in one pound.

So, in 120 pounds there are 0.454 x 120 kgs.

This is equal to 54.48, and the answer is 54.48 kg.

Let me know if this helps!

The total derivative of y = 3x - w^2 with respect to w = 2w^2 + w + 4 is 10w + 3.

To find the total derivative of y with respect to w, we can use the chain rule and the total derivative formula. Let's begin by finding the partial derivatives of the functions involved.

Given:

Y = 3x - w^2

x = 2w^2 + w + 4

First, let's find the partial derivatives of Y with respect to x and w:

dY/dx = 3

dY/dw = -2w

Next, let's find the partial derivative of x with respect to w:

dx/dw = 4w + 1

Now, we can apply the chain rule and the total derivative formula to find the total derivative of y with respect to w:

dy/dw = (dY/dx) * (dx/dw) + (dY/dw)

Substituting the partial derivatives we found earlier, we have:

dy/dw = 3 * (4w + 1) + (-2w)

dy/dw = 12w + 3 - 2w

dy/dw = 10w + 3

Therefore, the value derived is 10w + 3.

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(a) False. The set {x∈R^n | Ax=b} is not necessarily convex. It depends on the matrix A and the vector b. For example, if A is a non-convex matrix, then the set of solutions {x∈R^n | Ax=b} will also be non-convex.

(b) True. The set {(x₁,x₂) | x₂ ≤ 3x₁²} is convex. The inequality defines a downward parabolic region, and any line segment connecting two points within this region will lie entirely within the region. (c) False. Not all polygons on the R² plane are convex. For example, a polygon with a concave portion, such as a crescent shape, would not be convex.

(d) True. If S⊆R² is convex, then it must enclose a region of finite area. Convex sets do not have "holes" or disjoint parts, so they form a connected and bounded region. (e) False. If S₁⊆R² and S₂⊆R², and S₁∩S₂=ϕ (empty set), then S₁∪S₂ can be convex. If S₁ and S₂ are both convex sets that do not overlap, their union can still be a convex set. (f) True. If S₁⊆R² and S₂⊆R² are both closed sets, then their union S₁∪S₂ must also be closed. However, it may or may not be convex. The convexity of the union depends on the specific sets S₁ and S₂.

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The perimeter (P) is the sum of all sides:

5 would be the answer i believe

Answer:

What is the graph, can you attach it somehow?

Answer:

1/x+5

Step-by-step explanation:

1. Rewrite 3x as a difference

x-2/x^2 + 5x-2 - 10

2. Factor out x from the equation, then factor out -2.

x-2/ x+(x+5) - 2(x+5)

3. Factor out x+5 from the expression

x-2/ (x+5)(x-2)

4. Reduce the fraction with x-2

x-2 / (x+5) x-2

1/x+5

Answer:

o find a coterminal angle you add or subtract 2pi

-pi/100 + 2pi = -pi/100 + 200pi/100 = 199pi/100

Step-by-step explanation:

Answer:

f(5) = 3(5+2) - 8

f(5) = 15+6 -8

f(5) = 21 - 8

f(5) = 13

Answer:

∠EHF = 132°

Step-by-step explanation:

Both angles lie on a straight line.

=====================

Then ∠EHF :

Angles are supplementary hence their sum is 180°

So

So

<EHF=2(66)=132°

The geometric sequence 2, −6, 18, −54, ... to represent the 9th term is

d. f(9)=f(8)+3(8)

A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous one by a fixed, non-zero number, called the common ratio. In the given sequence, the common ratio is -3, so the nth term of the sequence can be found by multiplying the previous term by -3.

Using the recursive formula for a geometric sequence, the nth term can be found by multiplying the first term, f(1), by the common ratio raised to the (n-1) power, or f(n) = f(1)•(-3)^(n-1). In the given sequence, f(1) is 2, so the 9th term can be found by multiplying 2 by -3 raised to the 8th power, or f(9)=f(1)•(-3)^8.

Alternatively, the nth term can also be found by multiplying the previous term, f(n-1), by the common ratio, or f(n) = f(n-1)•(-3). Since the 8th term in the given sequence is -54, the 9th term can be found by multiplying -54 by -3, or f(9)=f(8)•(-3).

Therefore, the 9th term in the given sequence is -486 and the correct answer is d. f(9)=f(8)+3(8).

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Answer:

 Rita's age = 3 years

Jane's age = 12 years

Step-by-step explanation:

Framing algebraic equations and solving:

          Let the age of Rita = x years

             Age of Jane = 4 times of Rita's age

                                   = 4*x

                                   = 4x

After 6 years,

   Jane's age = 4x + 6

     Rita's age = x + 6

Jane's age = twice of Rita's age

      4x + 6 = 2* (x + 6)

      4x + 6  = 2x + 12        {Distributive property}

Subtract 6 from both sides,

             4x = 2x + 12 - 6

            4x = 2x + 6

Subtract '2x' from both sides,

    4x - 2x = 6

            2x = 6

Divide both sides by 2,

              x = 6 ÷ 2

             x = 3

Rita's age = 3 years

Jane's age = 4 * 3

                  = 12 years

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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Answer:

B

Step-by-step explanation:

Answer:

B.) 17

Step-by-step explanation:

Answer:

1/3 and 2/6

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

1/3 and 2/6

Using technology, such as a statistical calculator or software, we can find the area under the standard normal curve to the left of 1.87. Round answer to four decimal places will provide the desired result.

To find the area under the standard normal curve to the left of 1.87, we can utilize statistical calculators or software programs specifically designed to calculate probabilities in the standard normal distribution.

By inputting the value 1.87 into the calculator or software and selecting the option to find the area to the left, we can obtain the precise area.

Rounding the result to four decimal places will ensure the desired level of accuracy. It is important to note that the standard normal distribution is a continuous probability distribution with a mean of 0 and a standard deviation of 1.

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Answer:

orange

Step-by-step explanation:

when you fried chicken nuggets it will turn to orange

The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:

θ = s / r,

where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.

In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:

θ = 10 cm / 7 cm.

Simplifying the expression, we get:

θ ≈ 1.42857 radians.

Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

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Answer:

4x^2 + x - 1

Step-by-step explanation:

3x^2 + x + 8 + x^2 - 9 = 4x^2 + x - 1