You will construct the circumcenter. You will need to construct the perpendicular bisectors of AB, BC, and/or AC. Then find the intersection of the perpendicular bisectors to find the point that is equidistant to A, B, and C.

The solution to the equation is C. 4/9

Logarithm is the exponent or power to which a base must be raised to yield a given number. It is also the inverse of exponents.  

How to determine this using the law of Logarithm,

㏒3 (4x) - 2㏒3 x = 2

Using the division rule which states;

The division of two logarithmic values is equal to the difference of each logarithm.

Logb (m/n)= logb m – logb n

So, ㏒3 (4x) - ㏒3 [tex]x^{2}[/tex] = 2

㏒3 4x/[tex]x^{2}[/tex] = 2

So, 4x/[tex]x^{2}[/tex] = 3^2

4x/[tex]x^{2}[/tex] = 9

Cross multiply

4x = 9x^2

divides through by 9x

4x/9x = 9x^2/9x

4/9 = x

x = 4/9

Therefore, the solution for the equation is 4/9

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The solution is : the expression p in terms of m is p = 2/7 m.

Explanation:

If lana uses 14 cups of milk to make 4 bowls of pudding, we can express this as;

14cups = 4 bowls

If Andrew follows the same recipe and make p bowls of pudding and m cups of milk, this can be expressed as;

m cups = p bowls

Divide both expressions

14/m = 4/p

Cross multiply

4m = 14p

2m = 7p

7p = 2m

p = 2/7 m

Hence the expression p in terms of m is p = 2/7 m

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complete question:

Lana has a recipe for a pudding. She uses 14 cups of milk to make 4 bowls of pudding. Andrew will follow the same recipe. He will make p bowls of pudding and m cups of milk. Which of these equations represents the the relationship between p and m.A. p=1/7m B. p=7m C.p=5/2m D.p=2/7m

The main idea that ties all the details together is that there are various types of desserts that are made from fruit or fruit juice, and they are enjoyed by many people.

The paragraph is about different types of desserts that are made from fruit or fruit juice. The details in the paragraph mention three specific desserts: pies filled with peaches, apples, or blueberries; cobbler, which is a baked fruit dessert topped with pieces of a crust; and sherbet, which is a cold treat made of fruit or fruit juice that is often enjoyed in the summer.

Despite their differences in preparation and presentation, all of these desserts have one thing in common: they are made using fruit or fruit juice. The paragraph suggests that fruit-based desserts are popular among many people and can be enjoyed in a variety of forms.

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Answer:

the answer is true. may I get brainliest

TRUE. The critical value of a hypothesis test is based on the researcher's selected level of significance.

The critical value of a hypothesis test is based on the researcher's selected level of significance. The level of significance represents the probability of rejecting a true null hypothesis, and it determines the critical value, which is the point beyond which we reject the null hypothesis. Therefore, the higher the level of significance, the lower the critical value, and the easier it is to reject the null hypothesis.
True, the critical value of a hypothesis test is based on the researcher's selected level of significance. The level of significance determines the threshold for rejecting or failing to reject the null hypothesis, and the critical value is a point on the test statistic's distribution that corresponds to this threshold.

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The intensity of light will be  0.308%

We know that the intensity of the light is given by the formula:

I(d) = 100d⁻²

We want to find the intensity of the light 18 cm from the source, so we just need to evaluate our formula in d = 18, we will get:

I(18) =  100*18⁻² = 0.308

That is the intensity of light at 18cm from the source.

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The probability that z lies between 0 and 3.01 is: 0.9987 - 0.5 = 0.4987 So, the answer is 0.4987. To find the probability that z lies between 0 and 3.01 for a standard normal variable, you need to look up the values in a standard normal (z-score) table or use a calculator with the normal distribution function.

For z = 0, the probability is 0.5 (due to symmetry of the standard normal distribution). For z = 3.01, the probability is approximately 0.9987. To find the probability between 0 and 3.01, subtract the probability of z = 0 from the probability of z = 3.01.

0.9987 - 0.5 = 0.4987

So, the probability that z lies between 0 and 3.01 is approximately 0.4987. Your answer is 0.4987.

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The   table describes a linear function which is y = 3x - 1

It seems to be a linear function, for eacn increase in x of 1 unit there is an increase of y of 3 units, so the slope is 3.

y = 3x + b

To find the value of b we can replace any of the points there, for example the first one (1, 2) gives:

2 = 3*1 + b

2 - 3 =b

-1 = b

So the linear function is:

y = 3x - 1

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In a country with a population of 80 million, 28% is susceptible. To calculate the number of susceptible people, multiply the population by the percentage:

80,000,000 * 0.28 = 22,400,000 susceptible individuals

The maximum number of people likely to get infected in the healthy population is the difference between the total population and the susceptible population:

80,000,000 - 22,400,000 = 57,600,000

So, in this country, the maximum number of people likely to get infected in the healthy population is 57,600,000, and in the susceptible population is 22,400,000.

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The dimensions of the actual painting are 32 inches by 40 inches

From the question, we have the following parameters that can be used in our computation:

Scale = 4:1.

The dimensions of the scaled painting are 8 inches by 10 inches.

So, we have

Actual = 4 * 8 inches by 4 * 10 inches

Evaluate

Actual = 32 inches by 40 inches

Hence, the dimension is 32 inches by 40 inches

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The maximum monthly profit is $420.  To find the maximum monthly profit, we need to find the production level (X) that will maximize the profit.

We can do this by setting the marginal profit equation equal to zero and solving for X:

p'(x) = -0.4x + 20 = 0
0.4x = 20
x = 50

So, the production level that will maximize the profit is 50 widgets per month.

To find the maximum monthly profit, we need to calculate the total monthly revenue and subtract the fixed cost. The total monthly revenue can be calculated as the product of the price per unit and the number of units sold:

p(x) = -0.2x^2 + 20x
p(50) = -0.2(50)^2 + 20(50) = $500

So, the total monthly revenue is $500.

The maximum monthly profit can now be calculated as:

Profit = Total Revenue - Fixed Cost
Profit = $500 - $80
Profit = $420

Therefore, the maximum monthly profit is $420.

So, the answer is $420.

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a) The probability that the number of drivers will be at most 19 is approximately 0.411 or 41.1%.

b) The probability that the number of drivers will exceed 29 is approximately 0.004 or 0.4%.

(a) To find the probability that the number of drivers will be at most 19, we need to use the Poisson distribution formula:

P(X ≤ 19) = e^(-20) * (20^0/0!) + e^(-20) * (20^1/1!) + ... + e^(-20) * (20^19/19!)

Using a calculator or statistical software, we get P(X ≤ 19) ≈ 0.088.

(b) To find the probability that the number of drivers will exceed 29, we can use the complement rule:

P(X > 29) = 1 - P(X ≤ 29)

Using the same Poisson distribution formula as in part (a), we can find P(X ≤ 29) ≈ 0.963. So,

P(X > 29) = 1 - 0.963 = 0.037 (rounded to three decimal places).

Note: "Dynamic Ride Sharing" is not directly related to this question and is not necessary for answering it.
Hi! I'd be happy to help you with your question.

(a) To find the probability that the number of drivers will be at most 19, you can use the cumulative distribution function (CDF) of the Poisson distribution. The parameter for this distribution is μ = 20. The formula for the Poisson CDF is:

P(X ≤ k) = Σ (e^(-μ) * (μ^x) / x!) for x = 0 to k

In this case, k = 19. Plugging in the values and calculating the sum, we get:

P(X ≤ 19) ≈ 0.411

Therefore, the probability that the number of drivers will be at most 19 is approximately 0.411 or 41.1%.

(b) To find the probability that the number of drivers will exceed 29, you can use the complementary probability rule. First, find the probability that the number of drivers will be at most 29, and then subtract that from 1.

P(X > 29) = 1 - P(X ≤ 29)

Using the Poisson CDF formula with k = 29 and μ = 20:

P(X ≤ 29) ≈ 0.996

Now, subtract this value from 1:

P(X > 29) = 1 - 0.996 ≈ 0.004

Therefore, the probability that the number of drivers will exceed 29 is approximately 0.004 or 0.4%.

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This simplifies to:
a² = 12x + 144

This is the equation that results from applying the Secant-Tangent Segment Theorem to the given figure.

Let's first define the terms and state the Secant-Tangent Segment Theorem.

1. Equation: A mathematical statement that shows the equality of two expressions.

2. Secant: A line that intersects a circle at two points.

3. Tangent: A line that touches a circle at only one point, without crossing it.

Secant-Tangent Segment Theorem: If a secant and a tangent are drawn from a point outside a circle, the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment.

Let's represent the given lengths as follows:
- Length of tangent segment = a
- Length of secant segment (inside the circle) = 12
- Length of the external part of the secant segment (outside the circle) = x

According to the Secant-Tangent Segment Theorem, the equation is:
(a)(a) = (12)(x + 12)

This simplifies to:
a² = 12x + 144

This is the equation that results from applying the Secant-Tangent Segment Theorem to the given figure.

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Hey ⊂hcpsibekweou⊃

Answer:

(4 , -6 )

Step-by-step explanation:

Based on the image we can see that M' is in quadrant 2.

Coordinate plane:

As you may know reflection is known as a flip.

For example: (-5, 4) in quadrant 1  reflects to ( -5, -4 ) quadrant 3.

From the given we can see that M' is (-4, 6 ),    Therefore the reflection of             ( -4, 6) is (4, -6).

xcookiex12

4/19/2023

Answer: (-4, -6)

Step-by-step explanation:

      To reflect a point over the x-axis, we can keep the x-value the same and multiply the y-value by -1 (change the sign).

      We are given the coordinate point (-4, 6) so a reflection over the x-axis gives us the point of M' at (-4, -6).

a) the equilibrium demand is 122. b) the equilibrium price is $3.63.

a) Equilibrium demand can be gotten by setting the demand equal to the supply:

√√9-0.1q = √0.1q+1 -2

Squaring both sides:

√9 - 0.1q = (0.1q + 1 - 2)²

9 - 0.1q = 0.01q² + 0.98q - 1

0.01q² + 1.08q - 8 = 0

Solving for q using the quadratic formula:

q = (-1.08 ± √(1.08² + 4(0.01)(8))) / (2(0.01))

q = (-1.08 ± 3.52) / 0.02

q = 122 or -130

Since we cannot have a negative quantity, the equilibrium demand is 122.

b) To find the equilibrium price, we can substitute q = 122 into either the demand or supply equation:

p = √√9-0.1q = √√9-0.1(122) ≈ $3.63

Therefore, the equilibrium price is approximately $3.63.

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The inequality that represents the Given situation will be 2L + 4C ≥ 180

Let "L" be the number of lollipops sold and "C" be the number of candy bars sold.

The inequality that represents the situation is:

2L + 4C ≥ 180

This inequality ensures that the total amount earned from selling lollipops and candy bars combined is greater than or equal to $180.

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The probability of getting a different prize in the next box you buy is: P(A) = 3 / 5 = 0.6 or 60%.

The probability of getting a different prize in the next box you buy depends on the number of prizes left and the total number of prizes.

Since there are 5 prizes in total and you have already collected 2, there are 3 remaining prizes. The probability of getting a different prize in the next box you buy is 3 out of 5, or 60%. This is because each box is equally likely to contain any one of the prizes, and you have already collected 2 out of the 5 prizes.

To calculate the probability, you can use the formula: P(A) = number of favorable outcomes / total number of possible outcomes In this case, the number of favorable outcomes is 3 (the number of remaining prizes) and the total number of possible outcomes is 5 (the total number of prizes). Therefore, the probability of getting a different prize in the next box you buy is: P(A) = 3 / 5 = 0.6 or 60%

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In the context of ideal gas behavior, the most ideal conditions for the parameters pressure (P), temperature (T), and number of moles (n) depend on the specific situation or application. However, I can provide general insights for each parameter.

1. Low pressure (P): Ideal gas behavior is best approximated when the pressure is low. This is because the gas molecules have more space to move around, minimizing their interactions with each other and making their behavior more predictable.

2. High temperature (T): Ideal gas behavior is more accurate at higher temperatures because the gas molecules have more kinetic energy. This allows them to move more freely, reducing the influence of intermolecular forces that can deviate the gas from ideal behavior.

3. High number of moles (n): Having a high number of moles means there are more gas molecules present. This generally improves the accuracy of ideal gas predictions because the behavior of individual molecules tends to average out, leading to more predictable and consistent results.

Considering these factors, the most ideal conditions for P, T, and n are low pressure, high temperature, and high number of moles, respectively. This corresponds to the option: low P, high T, and high n.

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To estimate the number of households in the sample that lost electricity, we can use the mean of the relevant distribution,

A) The relevant random variable is the number of households in the sample that lost electricity. Since we know that 7% of households in the city lost electricity, we can use this as the probability of any one household in the sample losing electricity. Therefore, the mean of the relevant distribution is:

Mean = np = 50 * 0.07 = 3.5 households

B) To find the standard deviation of the distribution, we use the formula:

Standard deviation = √(np(1-p))

where n is the sample size and p is the probability of success (in this case, the probability of a household losing electricity). Plugging in the values, we get:

Standard deviation = √(50 * 0.07 * (1 - 0.07)) = 1.51 households

Therefore, our estimate is that the sample will have an average of 3.5 households that lost electricity, with a standard deviation of 1.51 households.

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We're given that the difference between John's and Paul's heights is twice the difference between John's and Thom's heights.

Let's use variables to represent their heights: J for John, P for Paul, and T for Thom. The equation can be written as:

J - P = 2(J - T)

Now, we're given two pieces of information:

1) Paul is 163 centimeters tall (P = 163).
2) Thom is 173 centimeters tall (T = 173).

We'll use this information to solve for John's height and then find the average height of the three.

Step 1: Plug in the given values into the equation.
J - 163 = 2(J - 173)

Step 2: Distribute the 2 on the right side.
J - 163 = 2J - 346

Step 3: Rearrange the equation to isolate J.
J - 2J = 346 - 163

Step 4: Combine like terms.
-1J = 183

Step 5: Divide by -1 to find John's height.
J = -1(-183)
J = 183 cm

Now that we have John's height, we can find the average height of the three.

Average height = (John's height + Paul's height + Thom's height) / 3
Average height = (183 + 163 + 173) / 3
Average height = 519 / 3
Average height = 173 cm

So, the average height of John, Paul, and Thom is 173 centimeters.

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The lengths of the sides of the square is 8 cm.

The area of this parallelogram is 24 cm².

In Mathematics and Geometry, the area of a square can be calculated by using the following mathematical equation (formula);

A = x²

Where:

For the lengths of the sides or side lengths of the square, we have:

64 = x²

x = √64

x = 8 cm.

Next, we would determine the area of this parallelogram;

Area of parallelogram = Area of square - 2(Area of triangle)

Area of parallelogram = 64 - 2(1/2 × (8 - 3) × 8)

Area of parallelogram = 64 - 40

Area of parallelogram = 24 cm².

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The test statistic for a sample with correlation coefficient r = 0.5 and sample size n = 30 is 3.06.

To test whether a correlation is significant, we need to calculate the test statistic using the correlation coefficient (r) and the sample size (n). The formula for the test statistic is:

t = r * sqrt(n-2) / sqrt(1-r^2)
Here, r is the correlation coefficient (0.5) and n is the sample size (30).
Plugging in the given values of r = 0.5 and n = 30, we get:

t = 0.5 * √((30 - 2) / (1 - 0.5^2))
t = 0.5 * √(28 / 0.75)
t = 0.5 * √(37.33)
t = 0.5 * 6.11
t ≈ 3.06

Thus, the test statistic for this sample is approximately 3.06. To determine whether the correlation is significant, we would need to compare this test statistic to a critical value from a t-distribution with n-2 degrees of freedom at the desired significance level.

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The sentence into an inequality is written as;

⇒ 3 + 9y > - 20

We have to given that;

The expression is,

Three increased by the product of a number and 9 is greater than -20.

Now, Let the unknown number is,

⇒ y

Hence, We can formulate the inequality as;

⇒ 3 + (9 × y) > - 20

⇒ 3 + 9y > - 20

Thus, The sentence into an inequality is written as;

⇒ 3 + 9y > - 20

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2/63 as a percentage round to the nearest tenth of a percent can be written as 31.7%

Fractions refer to a part of a whole. The word fraction comes from Latin word Fractus meaning broken. A percentage is a number that can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol %.

Fractions can be converted into percentages by the following steps:

1. Convert the fraction into decimals.

Therefore, on converting 2/63 to decimal we get 0.317

2. Multiply the given decimal by 100 to get a percentage

Hence, the percentage we get after multiplication is 31.7%.

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Parabolic Cylinder, The given vector equation is: r(s, t) = (s sin(3t), s^2, s cos(3t))

To identify the surface, let's break down the components:
1. x(s, t) = s sin(3t)
2. y(s, t) = s^2
3. z(s, t) = s cos(3t)

Now, let's eliminate the parametric s by solving for s in either the x or z component and substituting it into the y component. Since y(s, t) = s^2,

we'll solve for s in the z component:
s = z / cos(3t)
Now, substitute this expression for s into the y component equation:
y = (z / cos(3t))^2
y = z^2 / cos^2(3t)

Now we have an equation relating y and z with t as a parameter. This equation represents a parabolic cylinder, as it is quadratic in one variable (y) and linear in the other (z). The parameter t allows the parabolic shape to be rotated about the z-axis.

So, the identified surface for the given vector equation r(s, t) = (s sin(3t), s^2, s cos(3t)) is a parabolic cylinder.

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1/3

it is going to be smaller since its a dilation so its obviously neither of the whole numbers, and its not half of the originial one, its a little bit larger than half, its 1/3

option a is correct

The amount for each category is given as:

Initially, we must determine how much of each crop is present:

By now, we are able to construct the circle graph by knowing that a circle comprises of 360 degrees, assorted degrees can aid us in identifying every classification of crops:

To find out the amount for each category, we need to compute each percentage share:

Given this information, we can proceed and develop the circle graph.

Make use of a clean and circular diagram and divide it into three proportional parts using their corresponding degree values, then label every section with its matching crop name alongside the respective percentage owned.

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The farmer has the following distribution of crops:

Corn - 40%

Wheat - 35%

Cotton - 25%

A farmer uses his land to grow soybeans, corn, wheat, and cotton. He has a total of 500 crops consisting of corn, wheat, and cotton. The distribution of these crops is 40% corn, 35% wheat, and 25% cotton. Sketch a circle graph and label it with percentages.

The correct confidence interval for the mean lifetime of this type of battery is (114.56, 125.64).

Explanation:
We know that the sample size n is 50, the sample mean x is 120.1, and the population standard deviation is 20. We want to construct a 99% confidence interval for the mean lifetime of this type of battery.

The formula for the confidence interval is:

x ± z*(σ/√n)

where x is the sample mean,  is the population standard deviation, n is the sample size, and z is the z-score that corresponds to the desired confidence level.
   
For a 99% confidence interval, the z-score is 2.576 (using a z-score table or calculator).    
   
Plugging in the values, we get:

120.1 ± 2.576*(20/√50)

= (114.56, 125.64)

Therefore, the confidence interval for the mean lifetime of this type of battery is (114.56, 125.64) with 99% confidence.
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Answer:

149.32 miles

Step-by-step explanation:

[tex]245 - 95.68 = 149.32[/tex]

Answer:

Horizontal label

Step-by-step explanation:

Horizontal label has numbers going from the bottom to the top from 0 to 100.

If both eigenvalues of a 2x2 matrix A are complex with nonzero real part, then the critical point of the system x' = Ax is a center.

A center is a type of critical point where the solutions of the system oscillate around the critical point, without converging or diverging. The center has the property that the solutions move along closed trajectories, which are ellipses in the case of a 2x2 system. The orientation and size of the ellipses depend on the values of the eigenvalues and eigenvectors of the matrix A.

In general, centers are not stable or unstable in the sense of Lyapunov. Instead, they are neutral points where the solutions of the system do not change in magnitude, but only in direction.

The classification of a critical point as a center is important because it indicates the existence of periodic solutions in the system. These periodic solutions are of interest in many applications, such as in the study of oscillatory behavior in physical systems, or in the analysis of biological rhythms.

In summary, if both eigenvalues of a 2x2 matrix A are complex with nonzero real part, then the critical point of the system x' = Ax is a center, and the solutions of the system move along closed trajectories, without converging or diverging.

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