Only the answer no explanation

Only The Answer No Explanation

Answers

Answer 1

Answer:

The slope for these to points would be -9/7 (rise/run)


Related Questions

A rainstorm in Portland, Oregon, wiped out the electricity in 7% of the households in the city. Suppose that a random sample of 50 Portland households is taken after the rainstorm.
A Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
B Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.

Answers

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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Which relation is displayed in the table?


A: {(-2, -3), (1, -1), (2, -2), (3, 3)}

B: {(-3, -2), (-1, 1), (2, -2), (3, 3)}

C: {(-2, -3), (-1, 1), (-2, 2), (3, 3)}

D: {(-2, -3), (-1, 1), (-2, -2), (3, 3)}

Answers

The relation that is displayed in the table can be found to be B: {(-3, -2), (-1, 1), (2, -2), (3, 3)}

How to find the relation ?

The relation displayed on the table would simply refer to the points seen on the table. When writing the coordinates of a point, you should give the x value first and then give the y value.

The relations on the table are therefore { ( - 3 , - 2 ) , ( - 1 , 1 ) , ( 2 , - 2 ) , ( 3 ,  3 ) }. This represents the entire point portfolio seen on the table and therefore encompasses all the relation.

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What would the new ordered pair of M' be after reflecting the shape over the x-axis

Answers

Hey ⊂hcpsibekweou⊃

Answer:

(4 , -6 )

Step-by-step explanation:

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

Coordinate plane:

Divided into 4 partsQuadrants - represents each quarter of the whole coordinate plane(0,0) - originQuadrant 1 ( + , + )Quadrant 2 ( - ,+ )Quadrant 3 ( - , - )Quadrant 4 (+, - )

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).

Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 suggested in the article "Dynamic Ride Sharing: Theory and Practice"T). (Round your answer to three decimal places) (a) What is the probability that the number of drivers will be at most 19? (b) What is the probability that the number of drivers will exceed 29

Answers

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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Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement.

Answers

The polygons are similar with similarity ratio of 1.5, respectively

Determining whether the polygons are similar.

To check if the polygons are similar, we divide corresponding sides and check if the ratios are equal

So, we have

Rectangle

Scale factor = 135/90 = 45/30Scale factor = 1.5 = 1.5 --- true

So, the similarity ratio is 1.5

Triangle

Scale factor = 12/8 = 15/10Scale factor = 1.5 = 1.5 --- true

So, the similarity ratio is 1.5

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The lifetime of a certain type of batter is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 99% confidence interval for the mean lifetime of this type of battery.
What is the Confidence Interval ?
(114.5, 125.6)
(112.81, 127.39)
(114.56, 125.64)

Answers

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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your favorite cereal has a little prize in each box. there are 5 such prizes. each box is equally likely to contain any one of the prizes. so far, you have been able to collect 2 of the prizes. what is the probability that you will get the third different prize in the next box you buy?

Answers

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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Calculate the area and circumference of a circle with diameter 8cm

Answers

Answer:

Step-by-step explanation:

The diameter of a circle is twice the radius. Therefore, if the diameter is 8cm, the radius is 8cm/2 = 4cm.

The area of a circle is given by the formula A = πr^2, where π is the mathematical constant pi, and r is the radius of the circle. Substituting the value of r=4cm, we get:

A = π(4cm)^2 = 16π cm^2

Therefore, the area of the circle is 16π cm^2.

The circumference of a circle is given by the formula C = 2πr. Substituting the value of r=4cm, we get:

C = 2π(4cm) = 8π cm

Therefore, the circumference of the circle is 8π cm.

Answer:

8 cm

Step-by-step explanation:

you do circumference with diamer

eshawn is selling lollipops and candy bars for the NPHS
football team fundraiser this year. The lollipops are $2 and the candy bars are $4. He is hoping to raise
$180 on his own.
6. Define the variables.
7. Write an inequality to represent the situation.

Answers

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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To the nearest minute, how many minutes
will it take to fill the balloon? Use 3.14
for T.
A. 129 minutes
B. 103 minutes
C. 181 minutes
D. 233 minutes

Answers

Where the radius of the ballon is given, the time taken to fill the balloon is: is 55.23 minutes or 55 minutes approximately.

What is the explanation for the above response?


The volume of a sphere is given by the formula:

V = (4/3)π³
V = Volume
r = Radius

Since the ballon is leaking at the rate of 26 cubic feet per minute, it means that  the change of volue of the ballon is alow 26 cubic feet per minute.

If we replace the value for r (which is 7) in the above formula, we have:

V = (4/3) x 3.14 x 7³
V = 1436ft³

Thus, the time taken for the ballon to get empty is:

1436.03/26
= 55.23 mi
To the nearest minutes, that would be

55 minutes.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per minute. If the radius of the ball is 7 feet, to the nearest minute,how long would it take for the balloon to empty fully ? Round your answer to the nearest minute. Use the approximate of value of π, that is 3.14.

Help me please!!!!!!!!!!!!!

Answers

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

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

Answers

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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Four identical boxes are stacked in the
storage room. Each box has dimensions of
10 inches by 12 inches by 5 inches.
12 in.
Find the surface area of the
5 in. composite figure formed by the
stacked boxes.
5 in.
5 in.
5 in.
10 in.
square inches

Answers

The surface area of the figure formed by the composite boxes is given as follows:

1840 in².

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

For this problem, we have four boxes, with the dimensions given as follows:

12 in, 10 in and 5 in.

Hence the surface area is given as follows:

S = 4 x 2 x (12 x 10 + 12 x 5 + 10 x 5)

S = 1840 in².

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An artist recreated a famous painting using a 4:1 scale. The dimensions of the scaled painting are 8 inches by 10 inches. What are the dimensions of the actual painting?

40 inches by 50 inches
32 inches by 40 inches
12 inches by 14 inches
2 inches by 2.5 inches

Answers

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

What are the dimensions of the actual painting?

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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a farmer uses his land to grow soybeans, he has a total of 500 crops, corn, wheat, and cotton. Use the clues to sketch a circle graph and label it with percentages

Answers

The amount for each category is given as:

Corn: 144 degrees (40%)Wheat: 126 degrees (35%)Cotton: 90 degrees (25%)

How to solve

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

40% of 500 for corn equals 0.4 multiplied by 500 resulting in 20035% of 500 for wheat equals to 0.35 multiplied by 500 resulting in 17525% of 500 for cotton equals to 0.25 multiplied by 500 resulting in 125

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:

Corn: 144 degrees (40%)Wheat: 126 degrees (35%)Cotton: 90 degrees (25%)

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.

Find the indicated probability using the standard normal distribution.​P(z>−2.75​)

Answers

The probability P(z > -2.75) using the standard normal distribution is approximately 0.9970.

To find the indicated probability using the standard normal distribution, we need to use a z-table.

The standard normal distribution has a mean of 0 and a standard deviation of 1. The z-score represents the number of standard deviations away from the mean.

To find P(z>-2.75), we need to find the area under the standard normal distribution curve to the right of -2.75.

Using a z-table, we can find that the area to the right of -2.75 is 0.9970.

Therefore, P(z>-2.75) = 0.9970 or approximately 0.997.

This means that there is a 99.7% probability that a randomly selected value from the standard normal distribution will be greater than -2.75 standard deviations from the mean.


To find the indicated probability P(z > -2.75) using the standard normal distribution, follow these steps:

1. Identify the z-score: In this case, the z-score is -2.75.

2. Use the standard normal distribution table or a calculator with a built-in z-table function to find the area to the left of the z-score.

3. Since we need to find the probability P(z > -2.75), we'll subtract the area to the left of the z-score from 1 (the total probability).

Step-by-step calculation:

1. z-score = -2.75

2. Look up the area to the left of the z-score in the standard normal distribution table or using a calculator. For z = -2.75, the area to the left is approximately 0.0030.

3. To find the probability P(z > -2.75), subtract the area to the left from 1:

  P(z > -2.75) = 1 - 0.0030 = 0.9970

So, the probability P(z > -2.75) using the standard normal distribution is approximately 0.9970.

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ABCD is a square and E BFD is a parallelogram whose base is 3 cm the area of the square is 64 cm² . What are the lengths of the sides of the square? explain how you found your answer. What is the area of the Parallelogram? Use appropriate units In your answer and show how you found it.​

Answers

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

The area of this parallelogram is 24 cm².

How to calculate the area of a square?

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

A = x²

Where:

A represents the area of a square.x represents the side lengths of a square.

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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Analyze the average-case performance of the linear search algorithm, if exactly half the time the element x is not in the list and if x is in the list it is equally likely to be in any position.

Answers

In the scenario where exactly half the time the element x is not in the list and if x is in the list it is equally likely to be in any position.

The average-case performance of the linear search algorithm would be O(n/2), where n is the size of the list.
This is because in the worst case scenario, the algorithm would have to search through the entire list to find the element x, which would take n operations. However, since half the time x is not in the list, the algorithm would only need to search through half the list, on average. Therefore, the average-case performance would be O(n/2).

To analyze the average-case performance of the linear search algorithm, given that exactly half the time the element x is not in the list and if x is in the list it is equally likely to be in any position, please follow these steps:
1. Consider the two scenarios: element x is in the list and element x is not in the list.
2. For the case when x is in the list, as it is equally likely to be in any position, the average number of comparisons required would be (n+1)/2, where n is the total number of elements in the list.
3. For the case when x is not in the list, the linear search algorithm will go through all the elements in the list and make n comparisons before determining that x is not present.
4. To calculate the average-case performance, take into account the probabilities of each scenario. As the element x is not in the list exactly half the time, the probabilities are 0.5 for each scenario.
5. The average-case performance would be the weighted average of the comparisons in both scenarios: 0.5*((n+1)/2) + 0.5*n.
So, the average-case performance of the linear search algorithm in this situation is given by the expression: 0.5*((n+1)/2) + 0.5*n.

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28% of the popuation in a country of 80 million is susceptible. in this country, the maximum number of people likely to get infected in the healthy population is and in the susceptible population is respectively.

Answers

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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what is the quotient of the polynomials shown below (12x^3+26x^2+25)÷(2x+5)​

Answers

The quotient of the polynomials is 6x^2 - 2x + 5 with a remainder of -50.

The quotient of polynomials show (12x^3+26x^2+25)÷(2x+5)​

To find the quotient of the polynomials  ÷ (2x + 5), you can use polynomial long division as follows:

       6x^2 - 2x + 5

 -----------------------

2x + 5 | 12x^3 + 26x^2 + 25

- (12x^3 + 30x^2)

---------------

-4x^2 + 25

- (-4x^2 - 10x)

--------------

35x + 25

- (35x + 75)

-------------

-50

Therefore, the quotient of the polynomials is 6x^2 - 2x + 5 with a remainder of -50.

Can someone please help me with this

Answers

The equation of the axis of symmetry for the parabola is x = 4.

How to find the axis of symmetry of a parabola

In this problem we find the representation of a parabola whose axis of symmetry is parallel with the y-axis, the formula of the parabola is:

y = a · x² + b · x + c

Where:

a, b, c - Real coefficients.x - Independent variable.y - Dependent variable.

And the axis of symmetry of the parabola is shown below:

x = h

Where h is the x-coordinate of the vertex.

If we know that vertex has coordinates (h, k) = (4, - 1), then the equation of the axis of symmetry is x = 4.

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identify the surface with the given vector equation. r(s, t) = s sin(3t), s2, s cos(3t)

Answers

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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The average Math SAT score of 36 randomly selected students in a certain state is 525.6 and the standard deviation is 69.5. Does this result provide significant evidence that the overall average Math SAT score in that state differs from the national average of 514 points? Use an appropriate p-value to draw and explain your conclusion

Answers

There isn't significant evidence to conclude that the overall average Math SAT score in the state differs from the national average of 514 points based on this sample.

To determine if the average Math SAT score of the 36 randomly selected students significantly differs from the national average of 514 points, we can use a t-test with the given information.
1. Null hypothesis (H₀): The overall average Math SAT score in the state is equal to the national average (μ = 514).
2. Alternative hypothesis (Hₐ): The overall average Math SAT score in the state differs from the national average (μ ≠ 514).
3. Calculate the test statistic (t-value) using the formula: t = (sample mean - population mean) / (standard deviation / √sample size)
t = (525.6 - 514) / (69.5 / √36) = 11.6 / 11.583 = 1
4. Determine the degrees of freedom (df): df = sample size - 1 = 36 - 1 = 35
5. Choose a significance level (α), commonly 0.05.
6. Compare the t-value with the critical t-value from a t-distribution table using the chosen α level and degrees of freedom. For a two-tailed test with α = 0.05 and df = 35, the critical t-values are approximately ±2.03.
Since the calculated t-value (1) is not greater than the critical t-value (±2.03), we fail to reject the null hypothesis.

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Practice
Example 1
Write each equation in exponential form.
1. log₁5 225 = 2
4. log3 243 = 5
10. ()³ = 343
Example 2
Write each equation in logarithmic form.
7. 27 = 128
Example 3
Evaluate each expression.
13. log2 64
16. log27 81
2. 1093 27 = -3
19. logg 512
5. log4 64 = 3
8. 3-4 = 1
11. 29 = 512
14. log100 100,000
17. 1094 32
20. log, 1
Practice
3. logs 25= -2
6. log432 = 5/2
9. 7-2 = 49
12. 643 = 16
15. log5 625
ace
18. log₁0 0.00001
21. logg 4

Answers

Answer: 546

Step-by-step explanation:

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f=1/2m how many cups of flower should be used for 1 cup of milk

Answers

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

Number 4: find all the angles and arcs

Answers

The measure of angle A is 38 degrees by angle sum property

Given that ∠B is 40 degrees

∠AEB is 102 degrees

Now let us find ∠A

By angle sum property the sum of three angles is 180 degrees in triangle

AEB is triangle

40+102+ ∠A=180

142+∠A=180

∠A=180 - 142

∠A= 38 degrees

Hence, the measure of angle A is 38 degrees.

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find the particular solution y = f(t) for each differential equation.1. dy/dt = 8y and y = -2 when t = 02. dy/dt = -4y and y = 10 when t = 03. dy/dt = 16y and y = 5 when t = 04. dy/dt = -7y and y = -4 when t = 0

Answers

For each of these differential equations, we can use the general solution for a first-order linear differential equation of the form dy/dt = ky, which is y(t) = Ce^(kt), where C is a constant.

1. dy/dt = 8y and y = -2 when t = 0:
y(t) = Ce^(8t)
-2 = Ce^(8*0)
-2 = C
y(t) = -2e^(8t)

2. dy/dt = -4y and y = 10 when t = 0:
y(t) = Ce^(-4t)
10 = Ce^(-4*0)
10 = C
y(t) = 10e^(-4t)

3. dy/dt = 16y and y = 5 when t = 0:
y(t) = Ce^(16t)
5 = Ce^(16*0)
5 = C
y(t) = 5e^(16t)

4. dy/dt = -7y and y = -4 when t = 0:
y(t) = Ce^(-7t)
-4 = Ce^(-7*0)
-4 = C
y(t) = -4e^(-7t)

Look at these details from a paragraph about the same topic:
Many people enjoy pies filled with peaches, apples, or blueberries.
Cobbler is a popular dessert of baked fruit topped with pieces of crust.
Sherbet, a cold treat made of fruit or fruit juice, is often enjoyed in the summer.
Choose the main idea that ties all the details together.

Answers

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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The estimated marginal profit associated with producing X widgets is given by, p'(x)=-0.4x+20 where p'(x) is measured in dollars per unit per month when the level of production is X widgets per month. If the monthly fix cost for producing and selling the widgets is $80, find the maximum monthly profit.
$380 $420 $370 $460 $400

Answers

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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which conditions of p, t, and n, respectively, are most ideal?group of answer choiceshigh p, high t, high nlow p, low t, low nhigh p, low t, high nlow p, high t, high nlow p, high t, low n

Answers

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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