If x =3, y = -2 and z = 6, find the value of 7xyz

The relation between mode, mean and median is:

mode=3median-2mean

Now, to find mean:

2mean=3median-mode

mean=7/2 = 3.5

Let we wish to evaluate the mean  μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.

The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.

The random variable X¯ has a mean, denoted  μX¯, and a standard deviation, denoted  σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.

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Answer:

35

Step-by-step explanation:

V=Bh

V = 6(5)

V= 35

Answer: the answer is A.  10/9 cubic in.

Step-by-step explanation:

Answer:

the answer is d the other solution to function fisvī-51

The other solution to function f is √7 - 5i.

The correct option is (2).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Since the function is quadratic, it has two solutions.

The complex roots come in pairs.

If one solution is √7 + 5i,

then the other solution must be the conjugate of √7 + 5i, which is √7 - 5i.

Therefore, the correct statement is:

The other solution to function f is √7 - 5i.

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One solution to a quadratic function, f, is given below.

√7 + 5i

Which of the following statements is true about the given function?

1) The other solution to function f is -√7 + 5i.

2) The other solution to function f is √7 - 5i.

3) Function f has no other solutions.

4) The other solution to function f is -√7 - 5i.

Option A. Wages have increased at a slower rate than those cost.

Wages are actually a payment done to any worker or employee for doing a certain work.Consumer good prices are currently rising more quickly than both wages and the cost of other services.Real wages have increased by 32% past twenty years.Over this time, there has not been a significant divergence between average pay growth and productivity growth.A single real wage value, in some circumstances a real wage can be stated to have increased without a doubt.So wages have increased but at a slower rate than that of the cost.

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By algebra properties, the solutions for the six equations are, respectively:

Case 1: x = 5

Case 2: There are no real solutions.

Case 3: x = 1

Case 4: x = - 22

Case 5: x = - 2

Case 6: x = - 5 / 2

In this problem we find six equations with one variable each, the solution to each equation is found by algebra properties:

Case 1

5 · x - 3 = 2 · (x + 6)

5 · x - 3 = 2 · x + 12

3 · x = 15

x = 5

Case 2

7 · x - 5 · (x + 6) = 2 · x · (x - 3)

7 · x - 5 · x - 30 = 2 · x² - 6 · x

2 · x - 30 = 2 · x² - 6 · x

2 · x² - 8 · x + 30 = 0

2 · (x² - 4 · x + 15) = 0

There are no real solutions.

Case 3

8 - 7 · (x - 1) = 2 · (x + 5) - 4

8 - 7 · x + 7 = 2 · x + 10 - 4

15 - 7 · x = 2 · x + 6

9 · x = 9

x = 1

Case 4

3 · (3 · x + 4) - 2 · (x - 1) = 5 · (x - 6)

9 · x + 12 - 2 · x + 2 = 5 · x - 30

7 · x + 14 = 5 · x - 30

2 · x = - 44

x = - 22

Case 5

6 · (2 + 3 · x) + 2 · x = 5 · (x - 2) - 8

12 + 18 · x + 2 · x = 5 · x - 10 - 8

12 + 20 · x = 5 · x - 18

15 · x = - 30

x = - 2

Case 6

2 · (3 - x) + 5 · (x + 3) = 3 · (2 - x)

6 - 2 · x + 5 · x + 15 = 6 - 3 · x

21 + 3 · x = 6 - 3 · x

6 · x = - 15

x = - 15 / 6

x = - 5 / 2

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Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

angles shouldn't you use a protractor

Step-by-step explanation:

Answer:

x+140°=180°

x+140°-140°=180°-140°

x+0=180°-140°

x=40°

Answer:

\({ \tt{0.48 \times 1594.3 = 765}}\)

Answer: 800

Answer:

1000

Step-by-step explanation:

Rounding 0.48 ≈ 0.5 ( to 1 significant figure )

Rounding 1594.3 ≈ 2000 ( to 1 significant figure ) , then

0.5 × 2000 = 1000

Answer:

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Step-by-step explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

\(t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\\)

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.

The row of zeros represents redundant information and leads to an underdetermined system. Therefore, the claim made by Frans is correct.

If the reduced matrix has a row of zeros, it means that one of the equations in the system is a linear combination of the other equations. This implies that the system is dependent and does not have a unique solution. The row of zeros represents redundant information and leads to an underdetermined system. Therefore, the claim made by Frans is valid.

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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

To solve the logarithmic equation log3(8 - x) = 3, we first rewrite it in exponential form and then isolate the variable x. The solution to the equation is x = -1.

The equation log3(8 - x) = 3 can be rewritten in exponential form as 3^3 = 8 - x. Simplifying the left side of the equation gives us 27 = 8 - x. To isolate x, we subtract 8 from both sides of the equation, yielding 27 - 8 = -x. This simplifies to 19 = -x. Finally, multiplying both sides by -1 gives us the solution x = -1. Therefore, the value of x that satisfies the equation is -1.

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Answer:

Lose the ability to cry because i dont cry that much

Step-by-step explanation:

Answer:

loose the ability to cry l m a o

Step-by-step explanation:

the value of 2 tan¯¹(cosec tan¯¹x - tan cot¯¹x) is tan¯¹((1 - x)/(1 + x)), which can be further simplified to tan 1. Option A

To understand why the value is tan 1, let's break down the expression step by step. Starting from the innermost function, tan¯¹x represents the inverse tangent of x. Next, we have cot¯¹x, which is the inverse cotangent of x. Since the cotangent is the reciprocal of the tangent, cot¯¹x is equal to tan¯¹(1/x).

Moving to the outer function, we have cosec tan¯¹x. Here, tan¯¹x is the angle whose tangent is x, and cosec is the reciprocal of the sine function. Therefore, cosec tan¯¹x is equal to 1/sin(tan¯¹x), which simplifies to 1/cos¯¹x.

Now, we can substitute these values back into the original expression: 2 tan¯¹(cosec tan¯¹x - tan cot¯¹x) = 2 tan¯¹(1/cos¯¹x - tan tan¯¹(1/x)).

By applying the trigonometric identity tan(a - b) = (tan a - tan b)/(1 + tan a tan b), we can simplify the expression to 2 tan¯¹((1 - x)/(1 + x)).

Finally, the value of 2 tan¯¹(cosec tan¯¹x - tan cot¯¹x) is tan¯¹((1 - x)/(1 + x)), which can be further simplified to tan 1.

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Answer:

\(-10, -5, 0, 5\)

Step-by-step explanation:

\(-3x+5.9 \geq -15.4 \\ \\ -3x \geq -21.3 \\ \\ x \leq 7.1 \\ \\ \therefore x=-10, -5, 0, 5\)

Answer:

A

Step-by-step explanation:

Originally, Mei pays $24 for 12 issues.

Therefore, the cost per issue is:

\(c=\frac{\$24}{12\text{ issue}}=\$2\text{ per issue}\)

With the coupon, Mei pays the same amount of $24 but for 15 issues.

So, the cost per issue now is:

\(c=\frac{\$24}{15\text{ issues}}=\$1.60\text{ per issue}\)

Therefore, the coupon lowered the price of the issue by $0.40.

Our answer is A.

Answer: The coupon lowered the cost per issue by $0.40.

Original price of issue: $2

24 ÷ 12 = 2

Mei added 3 more issues, but she still pays $24.

The answer is A.

Hope this helps you!

Answer:

Step-by-step explanation:

5z=75

5z/5=75/5

z=15

The angle between the vector (3 - √2)i + 3j and the positive x-axis can be determined using trigonometry.

To find the angle between the vector and the positive x-axis, we can use the arctan function. The angle can be calculated by taking the arctan of the y-component divided by the x-component of the vector.

In this case, the vector is given as (3 - √2)i + 3j. The x-component is 3 - √2, and the y-component is 3. Using the arctan function, we can calculate the angle as arctan(3 / (3 - √2)).

By substituting the values into a calculator or using trigonometric identities, we can find the angle. It is important to note that the arctan function returns an angle in radians. If we want the result in degrees, we can convert it by multiplying the result by 180/π.

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37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

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Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.

The interest Juana would have to pay in 20 days can be calculated using the formula:

Interest = Principal × Interest Rate × Time

In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.

Using the formula and substituting the values:

Interest = $10,686.00 × 0.0579 × (20/365)

Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.

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In order to determine whether the given vectors form a fundamental set on the interval (-∞, ∞), we need to consider the concept of linear independence. A set of vectors is considered linearly independent if no vector in the set can be expressed as a linear combination of the others.

To determine whether the given vectors form a fundamental set, we need to check whether they are linearly independent. This can be done by forming a matrix with the given vectors as columns and then finding the determinant of the matrix. If the determinant is non-zero, then the vectors are linearly independent and form a fundamental set.

However, since the given system x9 = ax is not a differential equation, we cannot directly apply this method. Instead, we need to check whether the given vectors satisfy the conditions of linear independence. This can be done by checking whether the vectors are linearly independent using standard linear algebra techniques.

If the given vectors are linearly independent, then they will form a fundamental set on the interval (-∞, ∞). However, if they are linearly dependent, then they will not form a fundamental set, and we would need to find additional solutions to the system in order to form a fundamental set.

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No, this mechanism does not satisfy Dominant Strategy Incentive Compatibility (DSIC) no matter which random ordering is chosen by the mechanism.

DSIC requires that each agent has a dominant strategy, meaning that regardless of what other agents do, it is always in an agent's best interest to report their true preferences.

In this mechanism, the problem lies in the step where the ith agent is assigned her favorite room from the set R.

Since the rooms are assigned based on the agent's preferences, an agent has an incentive to misreport her preferences in order to increase her chances of getting her most preferred room.

For example, if an agent knows that her most preferred room is more likely to be available at a later stage, she may strategically misreport her preferences to increase the likelihood of getting that room.

This introduces the possibility of manipulation and strategic behavior, which violates the DSIC property.

Therefore, the mechanism described does not satisfy DSIC, regardless of the chosen random ordering.

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The expression for the length of the sail is x = 7( tan 50° ).

According to the given question.

The sail of a boat is in the shape of a right triangle.

And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.

Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.

Let the length of the sail be x meters.

Now, in the given right angled triangle

We can say that

tan A = Opposite side/Adjacent side

⇒ tan 50° = x/7

⇒ x = 7( tan 50° )

Hence, the expression for the length of the sail is x = 7( tan 50° ).

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As a result, in order to make the most money, the widgets must be sold for $15.83, to the nearest cent.

The cost that consumers pay for a single piece of a good is known as the price at which it is sold. For instance, if a company produces lamps, the sales unit price is indeed the cost to customers of a single lamp. We must identify the x value that maximizes the profitability function y = -6x² + 190x - 826 in order to estimate the selling price for widgets that will yield the highest profit.

Calculus can be used in this process. The critical points, or maximum and lowest values of the function, can be found by taking the derivatives of a profitability function in relation to x and setting it to zero. The derivative test can then be used to assess if the crucial point is indeed a maximum or even a minimum. If we take the profit function's derivative with regard to x, we get:

y' = -12x + 190

By setting y' to zero and figuring out x, we obtain:

-12x + 190 = 0

x = 15.83

The critical value of x is therefore 15.83.

We must compute the second derivative of a profit function with respect to x to determine if this critical point is indeed a maximum or a minimum:

y'' = -12

The critical point at x = 15.83 corresponds to the greatest value of the money demand function since y" is negative. In order to optimize the profit, the widgets must be sold for $15.83, to the nearest cent.

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The solution for A'0 is as follows:

A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)

We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.

First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).

Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.

Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).

Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).

Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),

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The value of x can be found by solving the system of equations x + y = 4 and y = 3. Evaluating z = x + y² with x = 1 and y = 2 yields a result of 7.

To find the value of x from the equations x + y = 4 and y = 3, we can substitute the value of y into the first equation. Substituting y = 3 into x + y = 4 gives x + 3 = 4. By subtracting 3 from both sides of the equation, we obtain x = 1. Therefore, the value of x is 1.

Next, we evaluate z = x + y² using the given values x = 1 and y = 2. Substituting these values into the expression, we have z = 1 + 2². Evaluating the squared term first, we get z = 1 + 4, which simplifies to z = 5. Hence, the value of z is 5 when x = 1 and y = 2.

Finally, the value of x is 1, and the value of z is 5 when x = 1 and y = 2.

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Answer:

The ratio of milk to chocolate syrup is 3 to 1.

There are 2 tablespoons of chocolate syrup to 6 cups of milk.

There are 4 tablespoons of chocolate syrup to 8 frozen bananas to 12 cups of milk

Step-by-step explanation:

Answer:

3 cups of milk =2 frozen banana and 1 tablespoon of chocolate syrup

1 cups of milk =2:3frozen banana and 1:3 tablespoon of chocolate syrup

2cups of milk =2*2/3=4:3 frozen banana and 1*2/3=2:3 tablespoon of chocolate syrup

4cups of milk =2*4/3=8:3 frozen banana and 1*4/3=4:3tablespoon of chocolate syrup

10cups of milk =10*2/3=5:3frozen banana and 1*10/3=10:3tablespoon of chocolate syrup

(a) The area of the disk at a given y is A(y) = πR^2 = π(5sin(y))^2.
V = ∫[0, π] A(y) dy = ∫[0, π] π(5sin(y))^2 dy
V = π ∫[0, π] 25sin^2(y) dy
(b) Therefore, R(y) = 5 sin(y) - 4. and Substituting this into the formula for V, we get:
V = π ∫[0,π] (5 sin(y) - 4)^2 dy
V ≈ 4.1184 (rounded to four decimal places)

Let's first set up the integral for the volume of the solid obtained by rotating the region bounded by the curve x = 5sin(y), 0 ≤ y ≤ π, x = 0 about the axis y = 4.

(a) To find the volume V, we will use the disk method. We need to calculate the radius of the disk at each value of y in the given interval. The radius is the distance between the curve x = 5sin(y) and the axis of rotation y = 4. Since the curve is on the right side of the axis of rotation, we have:

Radius (R) = x = 5sin(y)

The area of the disk at a given y is A(y) = πR^2 = π(5sin(y))^2.

Now, we integrate the area function A(y) with respect to y over the interval [0, π] to find the volume V:

V = ∫[0, π] A(y) dy = ∫[0, π] π(5sin(y))^2 dy

V = π ∫[0, π] 25sin^2(y) dy

(b) To evaluate the integral to four decimal places, you can use a calculator with an integration function. Enter the integral:

π ∫[0, π] 25sin^2(y) dy

Your calculator should return a value for V, which is the volume of the solid. Remember to round the result to four decimal places.

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