Represent as an expression. The sum of 4 times a number (n) and negative 17.

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Answer:

Step-by-step explanation:

4=8

5=10

6=12

Answer:

4 is 8, 5 is 10, 6 is 12. Hope this helps

We are given the following function:

\(f(x) = -7 - 2√x\) We are required to find the values of A, B and C in the expression:

\(f(x + h) - f(x)/h\) in the form \(A/√(Bx + Ch) + √x\) First, let's calculate f(x + h) and f(x):

\(f(x) = -7 - 2√xf(x + h)\)

\(= -7 - 2√(x + h)\)  Now, let's substitute these values in the expression:

\(f(x + h) - f(x)/h = [-7 - 2√(x + h)] - [-7 - 2√x]/h\)

\(= [-2(√(x + h)) + 2√x]/h\)

\(= 2(√x - √(x + h))/h\)  We can rationalize the denominator by multiplying both numerator and denominator by\((√x + √(x + h)):\)

\((2/[(√x + √(x + h)) * h]) * [(√x - √(x + h)) * (√x + √(x + h))]/[(√x - √(x + h)) * (√x + √(x + h))]\)This simplifies to:

\((2(√x - √(x + h))/h) * (√x + √(x + h))/[(√x + √(x + h))]\)

\(= [2(√x - √(x + h))/h] * [√x + √(x + h)]/[(√x + √(x + h))]\)

\(= 2(√x - √(x + h))/[(√x + √(x + h))]\) The expression can be written in the form\(A/√(Bx + Ch) + √x\)

, where

A = -2 and

B = C = 0. So,

A = -2,

B = 0, and

C = 0.

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Answer:

B

Step-by-step explanation:

5+2=7, so the bricks were put into groups of 7

175/7=25, so each group is 25 bricks

there were 5 groups of red bricks, and 25x5=125 so 125 red bricks were used so B is correct

Answer: 1. Dilation.

Step-by-step explanation: All of these transformations do not change the shape's form except for a dilation. It is nessacary to change the shape, so it is a dilation.

Answer:

≈ 20°

Step-by-step explanation:

Using a calculator

\(sin^{-1}\) (0.35 ) ≈ 20° ( to the nearest degree )

We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

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Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.

A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²

Here,

For each secant, the sum of the lengths from R to the circle's intersection points is the same:

=>RS*RT = RQ*RP

=>40(40 +31) = (44)(PQ +44)

=>40(71)/44 = PQ +44

=>PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11

=>PQ ≈ 20.5

Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.

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Answer:5.67* 10^7

Step-by-step explanation:

When we have a system of linear equations of the form Ax = b, where A is a matrix of coefficients, x is a vector of variables, and b is a vector of constants, the solution set of the system is the set of all possible solutions that satisfy the equations. The statement "The solution set of Ax = b is the set of all vectors of the form w = p + vh where vh is any solution of the equation Ax = 0" is a true statement.

To understand why this statement is true, we first need to consider the concept of a homogeneous system of linear equations. A homogeneous system of linear equations is a system of equations where the constant vector b is zero. In other words, the equations in the system only involve the variables, and there are no constant terms.

If we have a homogeneous system of linear equations Ax = 0, we can find a solution vector vh that satisfies the system. This vector is called a homogeneous solution or a null space solution. It represents a vector that, when multiplied by the matrix A, results in the zero vector.

Now, if we have a non-homogeneous system of equations Ax = b, we can find a particular solution vector p that satisfies the system. This vector represents a specific solution to the equations that is not necessarily a homogeneous solution.

The statement in question is true because the solution set of the non-homogeneous system Ax = b can be expressed as the sum of a particular solution p and any linear combination of homogeneous solutions vh. In other words, any solution vector w that satisfies the system can be expressed as w = p + vh, where vh is any solution of the equation Ax = 0.

This is because when we add a homogeneous solution to a particular solution, we get another solution of the system. This is because when we multiply A by the sum of a particular solution and a homogeneous solution, we get A(p + vh) = Ap + Avh = b + 0 = b, which satisfies the original system.

In summary, the statement "The solution set of Ax = b is the set of all vectors of the form w = p + vh where vh is any solution of the equation Ax = 0" is true because any solution vector w that satisfies the non-homogeneous system Ax = b can be expressed as the sum of a particular solution p and any linear combination of homogeneous solutions vh. This is because adding a homogeneous solution to a particular solution gives another solution of the system, and any solution of the homogeneous system is a valid homogeneous solution.

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Answer: it has no solutions so the answer would be none.

Step-by-step explanation:

Answer:

25.08

Step-by-step explanation:

-12n - 2 = -303

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, n. Do the opposite of PEMDAS.

First, add 2 to both sides:

-12n - 2 (+2) = -303 (+2)

-12n = -303 + 2

-12n = -301

Next, divide -12 from both sides:

(-12n)/-12 = (-301)/-12

n = -301/-12 = 301/12

n = 25.08 (rounded).

The correct option is A, the number of games is along the x-axis and the number of goals is along the y-axis is 21/41.

So,

K = 42/82

K= 21/41

{Slope of lines is Δy/Δx }

In mathematics, an axis refers to a line that serves as a reference point for measurement or positioning. In a graph or chart, an axis represents a set of numbers that are used to measure and plot data points. There are typically two axes in a graph, the x-axis and the y-axis, which intersect at a point called the origin. The x-axis is usually the horizontal axis and represents the independent variable, while the y-axis is the vertical axis and represents the dependent variable.

The coordinates of a point on a graph can be determined by its position relative to the axes. For example, a point located at (2,3) would be two units to the right of the origin along the x-axis and three units up from the origin along the y-axis.

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Complete Question: -

Keith is the leading goal scorer for a team in an ice hockey league. Last season, he scored  goals in  games. Assuming he scores goals at a constant rate, what is the slope of the line that represents this relationship if the number of games is along the x-axis and the number of goals is along the y-axis?

A. 21/41  B. 22/41  C. 42/23   D. 41/21

To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.

First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+

Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined

Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.

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Answer:

Step-by-step explanation: This relationship can either be within the species or between the two different species. The species with this relationship is termed as symbionts. Mutual relationship is seen in all living organisms including human beings, animals, birds, plants and other microorganisms like bacteria, virus, and fungi. Mutualism is a sort of symbiosis.

onde esta a altenaativas

The opposite angles formed when two lines intersect are vertically opposite angles.

It should be noted that the value of x based on the information given about the perpendicular lines will be A. 28°.

Based on the information given, it should be noted that the total value of the angle on a straight line is 180°.

Therefore, the value of x will be calculated thus:

55 + 2x - 49 + 90 + x = 180

3x + 96 = 180

Collect the like terms

3x = 180 - 96

3x = 84

Divide through by 3

3x / 3 = 84 / 3

x = 28

The value of the angle is 28°.

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The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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The probability of getting a face card on the first card is 12/52, and the probability of getting an ace on the second card is 4/52.

Since the two events are independent (because we replace the first card), we can multiply the probabilities to find the probability of both events happening together:

P(getting face card on first card and ace on second card) = P(face card on first card) × P(ace on second card)= (12/52) × (4/52) = 48/2704 = 0.0177.

When you are dealt two cards from a standard deck of 52 cards, there are a certain number of possibilities for each card. For example, if you are trying to find the probability of drawing an ace, there are four aces in the deck, so the probability of drawing an ace on the first card is 4/52, or 1/13. However, if you are trying to find the probability of drawing an ace on the second card after drawing a face card on the first card, the probability is different. In this case, you know that the first card is a face card, which means that there are 12 cards in the deck that could be drawn. Since there are 52 cards in the deck, the probability of drawing a face card on the first card is 12/52, or 3/13. After you replace the first card, there are 52 cards in the deck again, but now there are only four aces because you know that the first card was not an ace. Therefore, the probability of drawing an ace on the second card is 4/52, or 1/13. Since the two events are independent (because you replace the first card), you can multiply the probabilities to find the probability of both events happening together. In this case, the probability is:

P(getting face card on first card and ace on second card) = P(face card on first card) × P(ace on second card)= (12/52) × (4/52) = 48/2704 = 0.0177

In conclusion, the probability of getting a face card on the first card and an ace on the second card is approximately 0.0177, or 1.77%. This means that out of every 100 times you draw two cards from a standard deck of 52 cards, you can expect to get a face card on the first card and an ace on the second card less than two times.

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Answer:

15

Step-by-step explanation:

9x - 3 = \(\frac{(5x + 1) +19}{2}\)

2(9x - 3) = 5x + 1 + 19

18x - 6 = 5x + 20

13x = 26

x = 2

GH = 9(2) - 3 = 15

Answer:

free points or nah if not its A

Answer:

25 and 30

Step-by-step explanation:

Given the ratio of 2 numbers is 5 : 6 = 5x : 6x ( x is a multiplier ), then

5x + 6x = 55, that is

11x = 55 ( divide both sides by 11 )

x = 5

Thus

5x = 5 × 5 = 25

6x = 6 × 5 = 30

Then the 2 numbers are 25 and 30

The prompt is asking to calculate control limits for a chart that will monitor process consistency of thermostats. Results from the last five samples are provided in a table.

Control limits are statistical limits used to monitor the variability of a process and determine whether the process is stable or not. The control limits are typically set at three standard deviations above and below the mean of the process data. The correct control limits for this chart will depend on the data and can be calculated using statistical software or formulas.

Control limits are a statistical tool used to monitor the variability of a process over time. The control limits are typically set at three standard deviations above and below the mean of the process data. The purpose of control limits is to identify whether the process is stable and consistent or whether it is experiencing random variation or other issues that need to be addressed.

To calculate the control limits for the thermostat manufacturing process, the first step is to calculate the mean and standard deviation of the last five samples. This can be done using statistical software or formulas. Once the mean and standard deviation are calculated, the control limits can be set at three standard deviations above and below the mean.

It is important to note that control limits are not the same as specification limits, which are the limits set by the customer or regulatory agency for the product or service being produced. Control limits are used to monitor the process and ensure that it is operating within a range of variability that is acceptable and predictable.

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Answer:

b

Step-by-step explanation:

3(x + 2) - 2x + 4

3x + 6 - 2x + 4

combine like terms:

1x + 10

The ordered pair which is the solution to the system of equations is  (3,-1)

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

y=3x-10 and 2x+3y=3    

                   putting y=3x-10 in 2x+3y=3

          ⇒      2x+3(3x-10)=3

          ⇒      2x+9x-30=3

          ⇒      11x=33

          ⇒       x=33/11

          ⇒       x=3

Putting x=3 in y=3x-10 ,we get

                          y=3×3-10

                      ⇒    y=9-10

                      ⇒    y=-1

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Answer:

a)\(a_{n}\) =−2n+14

b)\(a_{n}\)  = − 5 n + 30

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)

The joint distribution of (u, v), where u and v are defined as

\(u = \frac{x}{{\sqrt{x^2 + y^2}}}\)  and \(v = \frac{y}{{\sqrt{x^2 + y^2}}}\), is given by:

\(f_{U,V}(u,v) = \frac{1}{{2\pi}} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v):

\(J = \frac{{du}}{{dx}} \frac{{du}}{{dy}}\)

\(\frac{{dv}}{{dx}} \frac{{dv}}{{dy}}\)

Substituting u and v in terms of x and y, we can evaluate the partial derivatives:

\(\frac{{du}}{{dx}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}} \\\frac{{du}}{{dy}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dx}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dy}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}}\)

Therefore, the Jacobian determinant is:

\(J &= \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} - \frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} \\&= -\frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} + \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} \\J &= \frac{1}{{(x^2 + y^2)^{\frac{1}{2}}}}\)

Now, we can find the joint density function of (u, v) as follows:

\(f_{U,V}(u,v) &= f_{X,Y}(x,y) \cdot \left|\frac{{dx,dy}}{{du,dv}}\right| \\&= f_{X,Y}(x,y) / J \\&= f_{X,Y}(x,y) \cdot (x^2 + y^2)^{\frac{1}{2}}\)

Substituting the standard normal density function

\(f_{X,Y}(x,y) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \\f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \cdot (x^2 + y^2)^{\frac{1}{2}} \\&= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)

Therefore, the joint distribution of (u, v) is given by:

\(f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot \exp\left(-\frac{1}{2}(u^2 + v^2)\right)\)

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To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)

The joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix

\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)

The joint distribution of (u, v) can be found by transforming the independent random variables x and y using the following formulas:

\( u = x + y\)
\( v = x - y \)

To find the joint distribution of (u, v), we need to find the joint probability density function (pdf) of u and v.

Let's start by finding the Jacobian determinant of the transformation:

\(J = \frac{{\partial (x, y)}}{{\partial (u, v)}}\)

\(= \frac{{\partial x}}{{\partial u}} \cdot \frac{{\partial y}}{{\partial v}} - \frac{{\partial x}}{{\partial v}} \cdot \frac{{\partial y}}{{\partial u}}\)

\(= \left(\frac{1}{2}\right) \cdot \left(-\frac{1}{2}\right) - \left(\frac{1}{2}\right) \cdot \left(\frac{1}{2}\right)\)

\(J = -\frac{1}{2}\)

Next, we need to express x and y in terms of u and v:

\(x = \frac{u + v}{2}\)

\(y = \frac{u - v}{2}\)

Now, we can find the joint pdf of u and v by substituting the expressions for x and y into the joint pdf of x and y:

\(f(u, v) = f(x, y) \cdot |J|\)

\(f(u, v) = \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{x^2}{2}\right) \cdot \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{y^2}{2}\right) \cdot \left|-\frac{1}{2}\right|\)

\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{u^2 + v^2}{8}\right)\)

Therefore, the joint distribution of (u, v) is given by:

\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{{u^2 + v^2}}{8}\right)\)

In summary, the joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix

\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)

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Answer: .......................

Step-by-step explanation:

The answer  is that a 400-troy-ounce gold ingot weighs approximately 12.4 kilograms or 27.34 pounds. This weight is equivalent to 3,110 grams or 3.11 kilograms. In summary, a 400-troy-ounce gold ingot weighs around 12.4 kilograms or 27.34 pounds and is equivalent to 3,110 grams or 3.11 kilograms.

The 400-troy-ounce gold ingot weighs, as the name suggests, 400 troy ounces. To provide some context, one troy ounce is equivalent to 31.1035 grams. Therefore, to determine the weight of the gold ingot in grams, you can perform the following calculation: 400 troy ounces x 31.1035 grams/troy ounce = 12,441.4 grams. In summary, the 400-troy-ounce gold ingot weighs 12,441.4 grams.

The weight of a 400-troy-ounce gold ingot can be calculated as follows: One troy ounce is equal to approximately 31.1 grams. The troy ounce is commonly used as a unit of weight for precious metals like gold. To find the weight of a 400-troy-ounce gold ingot, we multiply 400 by the weight of one troy ounce: 400 troy ounces * 31.1 grams per troy ounce = 12,440 grams. Since there are 1,000 grams in a kilogram, we can convert the weight from grams to kilograms:

12,440 grams / 1,000 grams per kilogram = 12.44 kilograms.

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