A map has a scale of cm to 5 m. Two cities or 45 m away. How far apart are they on the map

The system of inequalities with no solution is x > 3 x < 1

The systems of inequalities are given as:

x < 3 x < 1

x > 3 x > 1

x < 3 x > 1

x > 3 x < 1

As a general rule, it is impossible for a variable to be greater than a higher number and less than a smaller number.

This means that if x is greater than 3, then it must be greater than 1

Hence, the system of inequalities with no solution is x > 3 x < 1

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Im not 100% sure but I THINK its 2/3.

Answer:

2/-3

Step-by-step explanation:

-2/3 = -0.66666667

2/-3 = 0.666666667

Answer:

16 meters

Step-by-step explanation:

\( In\: \odot F, \: \overline {RS} \) is tangent to the circle at point R and FR is radius.

\( \therefore RF\perp RS\) (Tangent radius theorem)

\( \therefore m\angle FRS = 90\degree \)

So, \( \triangle FRS\) is right angled triangle and FS is its hypotenuse.

Let FR = FT = r

FS = FT + ST = r + 9

Now, by Pythagoras theorem:

\(FR^2 + RS^2 = FS^2 \\ \therefore r^2 + (15)^2 = (r + 9)^2 \\ \therefore \cancel{ r^2} +225 = \cancel{ r^2} + 18r + 81\\ \therefore \: 225 = 18r + 81 \\ \therefore \: 225 - 81= 18r \\ \therefore \: 144= 18r \\ \therefore \: r = \frac{144}{18} \\ \therefore \: r =8 \: m\\ \implies \: d = 2r = 2(8) = 16 \: m\)

Thus, the diameter of the fountain is 16 meters.

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

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The system of equations does not have a solution that satisfies all three equations simultaneously.

To solve this problem, we need to isolate the variable "x" in each equation, and then find the value of "x" that satisfies all three equations simultaneously.

Let's start with the first equation:

2x + 3 = 5x + 9

Subtracting 2x from both sides, we get:

3 = 3x + 9

Subtracting 9 from both sides, we get:

-6 = 3x

Dividing both sides by 3, we get:

-2 = x

So the solution to the first equation is x = -2.

Next, let's move on to the second equation:

3x + 2 = 20

Subtracting 2 from both sides, we get:

3x = 18

Dividing both sides by 3, we get:

x = 6

So the solution to the second equation is x = 6.

Finally, let's look at the third equation:

5x + 5 = ?

This equation cannot be solved because there is no value of "x" that will make it true. However, we can use the solutions we found from the first two equations to check if a value of "x" makes the equation true.

If we plug in x = -2, we get:

5(-2) + 5 = -5

This does not satisfy the equation.

If we plug in x = 6, we get:

5(6) + 5 = 35

This also does not satisfy the equation.

Therefore, the system of equations does not have a solution that satisfies all three equations simultaneously.

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The complete question is :

Isolate the variable "x" in each equation, and then find the value of "x" that satisfies all three equations simultaneously then Find the value of "x" that satisfies all three equations simultaneously .

2x+3=5x+9=3x+2=205x+5=  ?

Answer:

where is full question ?

Answer:

X^6 is the GCF

Step-by-step explanation:

Because what x^6 is will be more than x^4

In the given public good provision game, player 1's expected payoff for contributing and not contributing depends on player 2's cutoff point (C*₂). When player 1 contributes, their payoff is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. When player 1 does not contribute, their payoff is always 0.

In this public good provision game, player 1's decision to contribute or not contribute depends on their private cost, C₁, and player 2's cutoff point, C*₂. If player 1 contributes, they incur a cost of C₁ but gain access to the public good valued at v dollars. However, if C₁ is greater than or equal to C*₂, player 1's expected payoff for contributing would be 0 since player 2 would not contribute.

On the other hand, if player 1 does not contribute, their expected payoff is always 0, as they neither incur any cost nor receive any benefit from the public good. Therefore, player 1's expected payoff for not contributing is constant, irrespective of the cutoff point.

To determine player 1's expected payoff for contributing, we consider the case when C₁ is less than C*₂. In this scenario, player 2 contributes to the public good, allowing both players to consume it. Player 1's payoff would then be v - C₁, which represents the value of the public good minus their cost of contribution. However, if C₁ is greater than or equal to C*₂, player 1's contribution would be futile, as player 2 would not contribute. In this case, player 1's expected payoff for contributing would be 0, as they would not gain access to the public good.

In summary, player 1's expected payoff for contributing is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. On the other hand, player 1's expected payoff for not contributing is always 0. Therefore, when C₁ is low, player 1 would prefer to contribute, as long as the cost of contribution is less than player 2's cutoff point.

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The expression \((3xy^{-3})^{-2}\) without negative exponents is  \(\frac{y^6}{9x^2}\).

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression in exponents \((3xy^{-3})^{-2}\).

Now, Changing the place of exponents from the numerator to the denominator or vice versa changes its sign.

Therefore, \((3xy^{-3})^{-2} = 3^{-2}x^{-2}y^{6}\).

\(3^{-2}x^{-2}y^{6} = \frac{y^6}{3^2x^2}\).

\(\frac{y^6}{3^2x^2} = \frac{y^6}{9x^2}\).

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Answer: 147.2

Step-by-step explanation:

Ok, so- ! Perimeter is basically each side added up, or, in this situation, times four :). They already gave you the total, so all you need to do is divide 36.8 by four, leaving you with 9.2 ! Hope this helped :)

Answer:

c

Step-by-step explanation:

Answer:

=81/7

Step-by-step explanation:

Simplifying

6X + 18 + 8x + -2 = 180

Reorder the terms:

18 + -2 + 6X + 8x = 180

Combine like terms: 18 + -2 = 16

16 + 6X + 8x = 180

Solving

16 + 6X + 8x = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + 6X + -16 + 8x = 180 + -16

Reorder the terms:

16 + -16 + 6X + 8x = 180 + -16

Combine like terms: 16 + -16 = 0

0 + 6X + 8x = 180 + -16

6X + 8x = 180 + -16

Combine like terms: 180 + -16 = 164

6X + 8x = 164

Add '-8x' to each side of the equation.

6X + 8x + -8x = 164 + -8x

Combine like terms: 8x + -8x = 0

6X + 0 = 164 + -8x

6X = 164 + -8x

Divide each side by '6'.

X = 27.33333333 + -1.333333333x

Simplifying

X = 27.33333333 + -1.333333333x

The coordinates are simple. Hope you understand this and you can draw it out.

Vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t) = (3t - 1) i + 13t j + 4 k.

To find a vector equation of the line tangent to the graph of r(t) at the point P0 on the curve r(t) = (3t - 1) i + 13t j + 16 k, where P0 is given as (-1,4), we can use the following steps:

Step 1: Find the derivative of r(t) with respect to t:

r'(t) = 3 i + 13 j

Step 2: Evaluate the derivative at the point P0:

r'(-1) = 3 i + 13 j

Step 3: Use the point P0 and the vector r'(-1) to form the vector equation of the tangent line:

r(t) = P0 + r'(-1) t

where t is a scalar parameter.

Plugging in the values, we get:

r(t) = (-1)i + 4j + (3i + 13j)t

Simplifying, we get:

r(t) = (3t - 1) i + 13t j + 4 k

Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0 on the curve

r(t) = (3t - 1) i + 13t j + 16 k  is

r(t) = (3t - 1) i + 13t j + 4 k.

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The mode of a dataset is the data element with the highest frequency

The number of years that represents the mode of the Supreme Court justices served is 5

The dataset is given as:

0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31

From the above list

5 has the highest frequency of 7 (greater than other elements)

Hence, the number of years that represents the mode of the Supreme Court justices served is 5

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In the context of the null and alternative hypotheses, the sample proportion of 0.56 supports the alternative hypothesis (H1: p > 0.5). The p-value of 0.029 is less than 0.02, so we reject the null hypothesis.

(a) The sample proportion of the disapproval rate can be calculated by dividing the number of voters who showed disapproval (140) by the total sample size (250).

Sample proportion (p) = 140/250 = 0.56

In the context of the null and alternative hypotheses, the sample proportion of 0.56 supports the alternative hypothesis (H1: p > 0.5). This is because the sample proportion of 0.56 is greater than the hypothesized value of 0.5, indicating a higher disapproval rate than what is claimed in the null hypothesis.

(b) The p-value of the test is given as P = 0.029. The p-value represents the probability of observing a sample proportion as extreme or more extreme than the one calculated from the sample data, assuming that the null hypothesis is true.

At a 2% level of significance (α = 0.02), if the p-value (0.029) is less than the significance level, we reject the null hypothesis. In this case, the p-value of 0.029 is less than 0.02, so we reject the null hypothesis.

Therefore, we can conclude that there is sufficient evidence to support the claim made by the political activist. The data suggests that more than 50% of the voters in the state disapprove of the performance of the current governor.

The p-value of 0.029 indicates that the observed sample proportion is unlikely to occur if the true proportion were less than or equal to 0.5.

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Answer:

3.452 × 10^8

Step-by-step explanation:

hope this helps :)

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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Answer:

(2, -2)

Step-by-step explanation:

Multiply the first equation by -3,and multiply the second equation by 1.

−3(5x+6y=−2)

1(15x+4y=22)

Becomes:

−15x−18y=6

15x+4y=22

Add these equations to eliminate x:

−14y=28

Then solve−14y=28for y:

−14y=28

−14y

−14

=

28

−14

(Divide both sides by -14)

y=−2

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

5x+6y=−2

Substitute−2foryin5x+6y=−2:

5x+(6)(−2)=−2

5x−12=−2(Simplify both sides of the equation)

5x−12+12=−2+12(Add 12 to both sides)

5x=10

5x

5

=

10

5

(Divide both sides by 5)

x=2

Answer:

x=2 and y=−2

Answer:

(2,-2)

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

First off, a positive + and a negative - equals to a negative

So it will be 5/9-1/3.

We have to have a common denominator.

The common denominator is 9.

1x1=3

3x3=9

5/9-3/9=2/9

Answer:

I don't know if I'm correct but I got 0.27

the %Cr in the complex is 26.294%.

To determine the % Cr in the chromium-complex Legna synthesized, she massed out a 1.0240 g sample of the Cr complex. She dissolved the sample in a volumetric flask and made 100.0 mL of solution. From the standard curve of Absorbance versus concentration Legna obtained [Cr3+]=0.03933 M. Calculate the %Cr in the complex.

To determine the % Cr in the chromium-complex synthesized by Legna, we can use the following formula:% Cr = (mass of Cr/mass of sample) x 100We have the mass of the sample, which is 1.0240 g. We need to find the mass of Cr in the sample. To do this, we need to find the number of moles of Cr in the solution, and then use the molar mass of Cr to convert this to mass.

The concentration of Cr3+ in the solution is given as 0.03933 M. We know that the complex is made up of Cr and some other ligands, and the concentration of Cr3+ is not the same as the concentration of Cr in the complex. To find the concentration of Cr in the complex, we need to use the formula:[Cr] = [Cr3+] x (1/x), where x is the number of moles of Cr3+ in the complex.

Let's assume that there is one mole of Cr3+ in the complex, then x = 1. If there are n moles of Cr3+ in the complex, then x = n. We can find x by using the formula:x = (mass of sample/Mr of Cr3+) x [Cr3+]/volume of solutionWe know that the mass of the sample is 1.0240 g, and the volume of the solution is 100.0 mL = 0.1000 L. The molar mass of Cr3+ is 52.00 g/mol. Substituting these values into the formula, we get:x = (1.0240/52.00) x 0.03933/0.1000x = 0.000761 moles of Cr3+ in the complex

Now we can use the formula [Cr] = [Cr3+] x (1/x) to find the concentration of Cr in the complex:[Cr] = 0.03933/0.000761[Cr] = 51.69 M

Finally, we can use the formula:% Cr = (mass of Cr/mass of sample) x 100The molar mass of Cr is 52.00 g/mol. The mass of Cr in the complex is 51.69 x 52.00 = 2689.88 g/mol. Substituting this value and the mass of the sample (1.0240 g) into the formula, we get:% Cr = (2689.88/1.0240) x 100% Cr = 262944.53% Cr = 26.294%

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Answer:

14 units is the answer :)

Step-by-step explanation:

Based on the information provided and the analysis conducted, the main answer is that the three input variables, Fixture Location, Conveyor Speed, and Solder Temperature, significantly affect the degree of warp in circuit boards during the soldering process. By optimizing these variables, the electronics manufacturer can reduce defects and improve the overall quality of their circuit boards.

In Study 1, the team observed and recorded the degree of warp for all boards, stratifying the results by inner and outer positions. This initial study helped identify the problem and the need for further investigation. Study 2 examined the effect of Conveyor Speed on warp, while Study 3 focused on the impact of Solder Temperature. Both studies used equal samples from inner and outer board positions to obtain reliable data.

The results from the Minitab analysis provided insights into the statistical significance of the variables. It is crucial to note that statistically significant variables have a notable impact on the degree of warp, while insignificant variables have a minimal effect. By considering these findings, the team can prioritize their improvement efforts accordingly.

To improve the manufacturing process and reduce warp in circuit boards, the team should focus on the statistically significant variables. They can experiment with different combinations of Fixture Location, Conveyor Speed, and Solder Temperature to find the optimal settings that minimize warp. Additionally, they can use statistical techniques such as Design of Experiments (DOE) to further explore the interactions between these variables and identify the best operating conditions.

By implementing these recommendations and optimizing the input variables, the electronics manufacturer can reduce defects and improve the overall quality of their circuit boards. This will lead to a decrease in the number of defects and subsequently lower the associated repair costs. The predicted mean and standard deviation based on these recommendations can be used to calculate a new Predicted Ppk, which can be compared to the current Ppk to demonstrate the improvement achieved.

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Step-by-step explanation:

they each had 25 mushrooms for Carl and his friends there are 4 of them each and they got the same portions and if you count by 5s to 25 that will be the answer so the answer is 5

Answer:

5

Step-by-step explanation:

Number of mushrooms = 25

Number of persons = 5

Each of them ate the same number of mushrooms. so the square root of 25 will be number of mushrooms eaten by each

Number of mushroom eaten by each of them = √25

              = 5

Answer:

(0.69, 0.91)

Step-by-step explanation:

Hope this helps!

The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:

CI = p ± z√((p(1-p))/n)

where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).

Substituting the values, we get:

CI = 0.8 ± 2.576√((0.8(1-0.8))/90)

Simplifying, we get:

CI = 0.8 ± 0.102

Therefore, the 99% confidence interval for p is (0.698, 0.902).

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The expectation, E(X²) of the random variable X is 2/3

Here we are given that the pdf or the probability density function of X is given by

4x³, where 0 < x < 1

clearly this is a continuous distribution. Hence we know that the formula for expectation for random variable X with probability density function f(x) is

∫x.f(x)

and, the formula for expectation

E(X²) = ∫x².f(x)

Hence here we will get

\(\int\limits^1_0 {x^2 . 4x^3} \, dx\)

here we will get the limits as 0 and 1 as we have been given that x lies between 0 and 1

simplifying the equation gives us

\(4\int\limits^1_0 {x^5} \, dx\)

we know that ∫xⁿ = x⁽ⁿ⁺¹⁾ / (n + 1)

hence we get

\(4[\frac{x^6}{6} ]_0^1\)

now substituting the limits will give us

\(4[\frac{1^6 - 0^6}{6} ]\)

= 4/6

= 2/3

The expectation, E(X²) of the random variable X is 2/3

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