A firework is fired into the air from the top of a barn. Tis hight (h) above the ground in yards after (t) seconds is given by the function h(t)= -5t^2 + 10t + 20

1. At what time does the firework reach its maximum hight?
2. What is the maximum hight of the firework?
3. At what time will the firework fall to the ground?

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

Know more about bottleneck  here,

https://brainly.com/question/32590341

#SPJ11

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

Read more about sample size at

https://brainly.com/question/17203075

#SPJ1

Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

1/3 x 2 = 2/3

1/4 x 2 = 2/4 or 1/2

1 x 2 = 2

2/3 + 1/2 + 2 = 3 1/6 cups

Step-by-step explanation:

The circumference of the circle to the nearest hundredth is 21.98 inches.

The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.

The circumference of a circle is the perimeter of the circle. It's the wholes boundary of the circle.

The circumference of the circle can be found as follows:

circumference of a circle = 2πr

where

Therefore,

diameter of the circle = 7 inches

radius of the circle = 7 / 2 = 3.5 inches

Hence,

circumference of a circle = 2 × 3.14 × 3.5

circumference of a circle = 21.98 inches

learn more on circumference here: https://brainly.com/question/20007490

#SPJ1

Answer:

-2/3

Step-by-step explanation:

Rise= -2

Run= 3

-2/3

The quotients of both are equal.

To find the probability of selecting a card that is either a 4 or a spade, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.

Number of favorable outcomes:

There are four 4s in a deck of 52 cards, and there are 13 spades in a deck of 52 cards. However, we need to be careful not to count the 4 of spades twice. So, we subtract one from the total number of spades to avoid duplication. Therefore, there are 4 + 13 - 1 = 16 favorable outcomes.

Total number of possible outcomes:

There are 52 cards in a deck.

Now we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 16 / 52

Probability ≈ 0.3077

Therefore, the probability of selecting a card that is either a 4 or a spade is approximately 0.3077, or you can express it as a fraction 16/52.

Learn more about probability here:

brainly.com/question/32560116

#SPJ11

Answer:

Step-by-step explanation:

if someone drove 640 miles in 4 hours,

, it means that they drove 640/4=160 miles per hour

in 12 hours

160*12=1920

or

640............................4 h

640*3.........................4*3 hours

which give syou the same answer

1920.............................12 hours

Answer:

1,920 miles

Step-by-step explanation:

640 divided by 4 = 160

160 x 12 = 1,920

Answer:

92

Step-by-step explanation:

6×7=42

42-4

=38

38×2

=76

4×4

=16

16+76

=92

(if they practice over the weekend)

The mean temperature is approximately 30.64, the median temperature is approximately 29.5, the highest range of temperature is 37-39, the lowest range of temperature is 25-27, and the modal class is 28-30 with 36 cities.

How to calculate the highest and lowest range of temperature?

To calculate the mean temperature, we need to find the sum of all the temperatures and divide it by the total number of cities:

Mean = (25*25 + 29*36 + 32*30 + 35*22 + 38*15) / (25 + 36 + 30 + 22 + 15)

    = 30.64

Therefore, the mean temperature is approximately 30.64.

To calculate the median temperature, we need to find the middle temperature value. First, we need to arrange the temperatures in ascending order:

25-27, 25-27, 25-27, ..., 25-27 (25 times)

28-30, 28-30, ..., 28-30 (36 times)

31-33, 31-33, ..., 31-33 (30 times)

34-36, 34-36, ..., 34-36 (22 times)

37-39, 37-39, ..., 37-39 (15 times)

The total number of cities is 128. Since 128 is an even number, the median is the average of the two middle values:

Median = (28-30 + 31-33) / 2

      = 29.5

Therefore, the median temperature is approximately 29.5.

The highest range of temperature is 37-39, and the lowest range of temperature is 25-27.

The modal class is the temperature range with the highest frequency, which is 28-30 (36 cities).

To learn more about median, visit: https://brainly.com/question/2292804

#SPJ9

The vectors T, N, and B at the given point are: T = (4/3, -2, 0), N = (-2/3, -4/3, 1), and B = (2/3, -4/3, -2).

To find the vectors T, N, and B, we need to find the unit tangent vector T, the unit normal vector N, and the unit binormal vector B at the given point. First, we find the first derivative of the vector function r(t) to get the tangent vector: r'(t) = (2t, 2t^2, 1). Then we evaluate it at t = 1 to get r'(1) = (2, 2/3, 1). To find the unit tangent vector T, we divide r'(1) by its magnitude: T = (2/3, 2/9, 1/3).

Next, we find the second derivative of r(t) to get the curvature vector: r''(t) = (2, 4t, 0). Then we evaluate it at t = 1 to get r''(1) = (2, 4, 0). To find the unit normal vector N, we divide r''(1) by its magnitude and negate it: N = (-2/3, -4/3, 1). Finally, we find the cross product of T and N to get the unit binormal vector B: B = (2/3, -4/3, -2).

Therefore,  T = (4/3, -2, 0), N = (-2/3, -4/3, 1), and B = (2/3, -4/3, -2)) is the answer.

You can learn more about vectors at

https://brainly.com/question/27854247

#SPJ11

Answer:

20cm

Step-by-step explanation:

First, lets assign variables to the lenghts and widths:

width of blue = a

height of blue = b

width of green = c

height of green = d

Now, express all the provided information into equations

(1) a = 30

(2) c*d = 700

(3) a*b = 0.6 * 700

(4) b = 0.7 * d

Now, start substituting to find d:

Put (1) in (3):

30b = 0.6 * 700 => b = 0.6*700/30 = 14

Put b in (4):

14 = 0.7 * d => d= 14/0.7 = 20

So the height of the green rectangle is 20 cm.

The claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;

The distance from Jackson to Tucson 1,356 miles  1,450 miles which is the distance from Jackson to Ottawa

A) Using unit conversion, we will discover that;

1 mile = 1,760 yards

The best unit would be in miles since we are told that the distance from Ottawa, Canada to Jackson Mississippi is 2,552,000 yards.

B) The number of significant digits in the reporters estimate are the non-zero digits before the zeros in the number figure which are 2, 5, 5, and 2 or 4 significant figures

C) Using our conversion from miles to yards and vice versa in Answer A above, we can say that;

2,552,000 yards = 2,552,000 yards/(1,760 yards/mile) = 1,450 miles

D) We are told that the distance from Jackson to Tucson is 7,159,680 feet. From the conversion rate of; 1 mile = 5,280 feet, we have;

7,159,680 feet = 7,159,680 feet/(5,280 feet/mile) = 1,356 miles

Therefore, the claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;

The distance from Jackson to Tucson 1,356 miles  1,450 miles which is the distance from Jackson to Ottawa

Complete question is;

1. National Geographic is reporting on the migration patterns of Canadian Geese. One of

the birds they are tracking traveled from Ottawa, Canada to Jackson, Mississippi

Part A: What units would be best to describe this situation

Part B: While writing the article for the next edition of National Geographic, the reporter

estimates that this goose flew 2,552,000 yards. How many significant digits does

the reporter's estimate have?

Part C: The Editor in Chief decided that the reporter chose the incorrect units. The editor

wants the reporter to convert the distance to miles. Complete this conversion.

Part D: Your younger brother determined that the distance from Jackson to Tucson

Arizona is 7,159,680 feet. He claims that this is further than the distance to

Ottawa. Is he correct? Justify your answer using mathematical evidence.

Read more about Unit conversions at; https://brainly.com/question/332678

#SPJ1

Mean of rt = 0.02,

Variance of rt = 0.02,

Lag-1 Autocorrelation (ρ1) = -0.01,

Lag-2 Autocorrelation (ρ2) = Unknown,

1-step ahead forecast = -0.005,

2-step ahead forecast = 0.02,

The standard deviation of forecast errors = √0.02.

We have,

To find the mean and variance of the return series, we can substitute the given model into the equation and calculate:

Mean of rt:

E(rt) = E(0.02 + 0.5rt-2 + et)

= 0.02 + 0.5E(rt-2) + E(et)

= 0.02 + 0.5 * 0 + 0

= 0.02

The variance of rt:

Var(rt) = Var(0.02 + 0.5rt-2 + et)

= Var(et) (since the term 0.5rt-2 does not contribute to the variance)

= 0.02

The mean of the return series rt is 0.02, and the variance is 0.02.

To compute the lag-1 and lag-2 autocorrelations of rt, we need to determine the correlation between rt and rt-1, and between rt and rt-2:

Lag-1 Autocorrelation:

ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))

Lag-2 Autocorrelation:

ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))

Since we are given r100 = -0.01 and r99 = 0.02, we can substitute these values into the equations:

Lag-1 Autocorrelation:

ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))

= Cov(r100, r99) / (σ(r100) * σ(r99))

= Cov(-0.01, 0.02) / (σ(r100) * σ(r99))

Lag-2 Autocorrelation:

ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))

= Cov(r100, r98) / (σ(r100) * σ(r98))

To compute the 1- and 2-step-ahead forecasts of the return series at

t = 100, we use the given model:

1-step ahead forecast:

E(rt+1 | r100, r99) = E(0.02 + 0.5rt-1 + et+1 | r100, r99)

= 0.02 + 0.5r100

2-step ahead forecast:

E(rt+2 | r100, r99) = E(0.02 + 0.5rt | r100, r99)

= 0.02 + 0.5E(rt | r100, r99)

= 0.02 + 0.5(0.02 + 0.5r100)

The associated standard deviation of the forecast errors can be calculated as the square root of the variance of the return series, which is given as 0.02.

Thus,

Mean of rt = 0.02,

Variance of rt = 0.02,

Lag-1 Autocorrelation (ρ1) = -0.01,

Lag-2 Autocorrelation (ρ2) = Unknown,

1-step ahead forecast = -0.005,

2-step ahead forecast = 0.02,

The standard deviation of forecast errors = √0.02.

Learn more about variance here:

https://brainly.com/question/29810021

#SPJ4

Among the given options, the following statements are true about the test statistic, fo:

It could be > 5.

It could be < 0.

The statement "It could be < 1" is not necessarily true, and the statement "It will always be 20" is incorrect.

The test statistic, fo, is a value obtained from a statistical test to assess the significance of a hypothesis. Its value depends on the specific test being performed and the data at hand. In many statistical tests, the test statistic follows a certain distribution (e.g., t-distribution, F-distribution) under the null hypothesis. Therefore, the range of possible values for fo can vary depending on the test and the specific context. It can be greater than 5 or less than 0, depending on the test result and the critical region defined for the test. The value 20 is not a universal characteristic of the test statistic and is not necessarily true in all cases.

To know more about test statistic click here:  brainly.com/question/31746962

#SPJ11

Answer:its 3

Step-by-step explanation:

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

Learn more about  data here:

https://brainly.com/question/29117029

#SPJ11

Answer:

4.768×10^3

Step-by-step explanation:

4768 in standard form:

4.768 *10^3

It already is in standard form.

Answer:

It should be somewhere near 3.16

Step-by-step explanation:

The square root of 10 simplified is around 3.16

Answer:

Estimated 3.16

Step-by-step explanation:

I'm taking the test right now. Mark brainliest if it helped.

Answer:

Select two points

7/-2 and 5/-1

subtract y1 from y2 to figure out y's change

7 - 5 = 2 change in y

now we subtract x1 from x2 to figure out x's change

-2 - ( -1 ) = -1 change in x

The slope will just be the results of the change in y and x but in the order of rise/run

2/-1 = -2 is the slope

Using the central limit theorem, for different sample sizes, we find the probabilities Pr(Y < 68) ≈ 0.9439, Pr(68 < Y < 69) ≈ 0.0590, and Pr(Y > 66) ≈ 0.0228.

a) In a random sample of size n = 69, we can approximate the distribution of the sample mean using a normal distribution. The mean of the sample mean will be equal to the population mean μY = 65, and the variance of the sample mean will be σY^2 / n = 49 / 69 ≈ 0.7101. To find Pr(Y < 68), we calculate the z-score using the formula z = (x - μ) / σ, where x is the value we want to find the probability for.

z = (68 - 65) / √(0.7101) ≈ 1.5953

Using a standard normal distribution table or a calculator, we find the probability associated with z = 1.5953 to be approximately 0.9439. Therefore, Pr(Y < 68) ≈ 0.9439.

b) In a random sample of size n = 124, we can again approximate the distribution of the sample mean using a normal distribution. The mean of the sample mean will still be equal to the population mean μY = 65, and the variance of the sample mean will be σY^2 / n = 49 / 124 ≈ 0.3952. To find Pr(68 < Y < 69), we calculate the z-scores for the lower and upper limits.

Lower z-score: z1 = (68 - 65) / √(0.3952) ≈ 1.5225

Upper z-score: z2 = (69 - 65) / √(0.3952) ≈ 2.5346

Using the standard normal distribution table or a calculator, we find the probability associated with z1 = 1.5225 to be approximately 0.9357 and the probability associated with z2 = 2.5346 to be approximately 0.9947. Therefore, Pr(68 < Y < 69) ≈ 0.9947 - 0.9357 ≈ 0.0590.

c) In a random sample of size n = 196, we can once again approximate the distribution of the sample mean using a normal distribution. The mean of the sample mean will still be equal to the population mean μY = 65, and the variance of the sample mean will be σY^2 / n = 49 / 196 ≈ 0.2500. To find Pr(Y > 66), we calculate the z-score.

z = (66 - 65) / √(0.2500) = 2

Using the standard normal distribution table or a calculator, we find the probability associated with z = 2 to be approximately 0.9772. Therefore, Pr(Y > 66) ≈ 1 - 0.9772 ≈ 0.0228.

To know more about central limit theorem,

https://brainly.com/question/17254407

#SPJ11

The covariance of the random variables X and Y is 1/120.

Exercise 3.49 on page 106 states:

"Suppose that the joint probability density function of X and Y is given by f(x,y) = 3x, 0 ≤ y ≤ x ≤ 1, 0 elsewhere. Find E[X], E[Y], and cov(X,Y)."

To find the covariance of X and Y, we first need to find the expected values of X and Y:

E[X] = ∫∫ x f(x,y) dy dx = ∫0¹ ∫y¹ 3\(x^2\) dy dx = ∫0¹ \(x^3\) dx = 1/4

E[Y] = ∫∫ y f(x,y) dy dx = ∫0¹ ∫y¹ 3xy dy dx = ∫0¹ \(x^2\)/2 dx = 1/6

Next, we need to use the formula for covariance:

cov(X,Y) = E[XY] - E[X]E[Y]

To find E[XY], we integrate the joint probability density function multiplied by XY:

E[XY] = ∫∫ xy f(x,y) dy dx = ∫0¹ ∫y¹ 3x^2y dy dx = ∫0¹ \(x^4\)/2 dx = 1/10

Putting it all together, we have:

cov(X,Y) = E[XY] - E[X]E[Y] = 1/10 - (1/4)(1/6) = 1/120

Therefore, the covariance of the random variables X and Y is 1/120.

To learn more about variables visit:

https://brainly.com/question/17344045

#SPJ11

The two inference we can make from this data is the proportion of females who prefer makeup and the significant difference in makeup preference between different groups of female.

Based on the sample of 100 females regarding makeup preference, Sam could make the following inferences:

1. The proportion of females who prefer makeup can be estimated. Sam can calculate the proportion of females in her sample who preferred makeup and use that as an estimate of the proportion in the population. For example, if 70 out of the 100 females in the sample preferred makeup, then Sam could estimate that 70% of females in the population prefer makeup.

2. Sam could also determine if there is a significant difference in makeup preference between different groups of females. For example, she could compare the proportion of females who prefer makeup in different age groups or different ethnic groups.

To find out how many out of 375 people prefer lipstick, we need to know the proportion of people in the sample who prefer lipstick. If this information is not available, we cannot accurately determine the number of people who prefer lipstick out of 375.

Learn more on inference from data here;

https://brainly.com/question/1611703

#SPJ1

The money left is $13.25.

Given data,

Your parents handed you $50 to spend on movie tickets for your sister and brother. You paid $8.25 for your ticket, while your siblings paid $4.25.

To know how much money you bring home after spending an extra $20 on soda and popcorn,

Your entry cost is $8.25

$4.25 for the brother's ticket

Sister's entry fee is $4.25.

$20 for soda and popcorn.

Total = 8.25 + 4.25 + 4.25 + 20.00 = $36.75

You received $50 from your parents.

You have spent $36.75.

Balance: 50.00 - 36.75 = $13.25

To learn more about cost click here:

brainly.com/question/14332852

#SPJ4

Answer:

Your answer would be 329.1 ft.

Step-by-step explanation:

If he wants equal distance when he takes his 3 breaks up a mountain that is 987.3 feet tall, 329.1 multiplied by 3 equals 987.3

We want to determine a property of a triangle's median.

The median is a line drawn from the vertex to the midpoint of the opposite side.

Thus, a median must always pass through a vertex and midpoint of the triangle

The inverse Laplace transform of F(s) = (s + 5) / \((s^2 + 6s + 9)\) is f(t) = \(2e^(-3t) - te^(-3t).\)

- The inverse Laplace transform of F(s) = s / \((s^2 - 9)\) is f(t) = \((1/6)e^(-3t)\) + \((5/6)e^(3t).\)

To determine the inverse Laplace transform for the given expressions, we can use partial fraction decomposition and known Laplace transform pairs.

Let's start with the first expression:

F(s) = (s + 5) / (s² + 6s + 9)

To find the inverse Laplace transform, we need to factorize the denominator. In this case, the denominator can be factored as (s + 3)²:

F(s) = (s + 5) / (s + 3)²

Now, let's perform partial fraction decomposition:

F(s) = A/(s + 3) + B/(s + 3)²

To find the values of A and B, we can multiply both sides of the equation by the common denominator:

(s + 5) = A(s + 3) + B

Expanding the right side:

s + 5 = As + 3A + B

Comparing the coefficients of the corresponding powers of s, we get:

A = 2

3A + B = 5

Solving these equations, we find A = 2 and B = -1.

Now, we can rewrite F(s) as:

F(s) = 2/(s + 3) - 1/(s + 3)²

Using the Laplace transform pairs, the inverse Laplace transform of the first term is 2\(e^(-3t)\), and the inverse Laplace transform of the second term is t\(e^(-3t)\).

Therefore, the inverse Laplace transform of F(s) = (s + 5) / (s² + 6s + 9) is:

f(t) = \(2e^(-3t) - te^(-3t)\)

Now, let's move on to the second expression:

F(s) = s / (s² - 9)

The denominator can be factored as (s + 3)(s - 3).

F(s) = s / [(s + 3)(s - 3)]

Performing partial fraction decomposition:

F(s) = A/(s + 3) + B/(s - 3)

Multiplying both sides by the common denominator:

s = A(s - 3) + B(s + 3)

Expanding and collecting like terms:

s = (A + B)s + (-3A + 3B)

By comparing the coefficients of s and the constant terms, we get:

A + B = 1

-3A + 3B = 0

Solving these equations, we find A = 1/6 and B = 5/6.

Now, we can rewrite F(s) as:

F(s) = 1/6/(s + 3) + 5/6/(s - 3)

Using the Laplace transform pairs, the inverse Laplace transform of the first term is \((1/6)e^(-3t)\), and the inverse Laplace transform of the second term is \((5/6)e^(3t).\)

Therefore, the inverse Laplace transform of F(s) = s /\((s^2 - 9)\) is:

f(t) = \((1/6)e^(-3t) + (5/6)e^(3t)\)

To summarize:

- The inverse Laplace transform of F(s) = (s + 5) / \((s^2 + 6s + 9)\) is f(t) = \(2e^(-3t) - te^(-3t).\)

- The inverse Laplace transform of F(s) = s / \((s^2 - 9)\) is f(t) = \((1/6)e^(-3t)\) + \((5/6)e^(3t).\)

Learn more about Laplace transform here:

https://brainly.com/question/14487937

#SPJ11

Consider soil salinity when estimating irrigation needs for crops. Highly saline soil requires less water, while non-saline soil may require more water. Prevent over-irrigation and soil salinization by factoring in soil salt concentration.

Soil salinity can be defined as a measure of the salt concentration of a soil. It is expressed in terms of the total amount of soluble salts found in a certain volume of soil solution.

Irrigation is an essential part of modern agriculture. It is required to provide sufficient water to crops for their growth and development. However, the amount of irrigation required can vary depending on the salinity of the soil.

The irrigation water that is applied to the soil causes salt to accumulate in the soil. If the soil salinity is not taken into account when estimating the seasonal irrigation requirement of a crop, there is a risk of over-irrigation, which can lead to increased salinization of the soil. To prevent this, it is important to determine the salt concentration in the soil before irrigation is applied.

To estimate the seasonal irrigation requirement of a crop, it is necessary to determine the water requirements of the crop and the soil characteristics of the field. Soil salinity should be considered as an additional factor in determining the water requirements of the crop. If the soil is highly saline, the crop may require less water to grow than if the soil is not salty. On the other hand, if the soil is not salty, the crop may require more water than if the soil is salty.

In general, irrigation water should be applied at a rate that ensures the soil remains at an optimal moisture level for crop growth and development, while also avoiding over-irrigation that could lead to salt buildup in the soil. The amount of irrigation water needed will depend on a number of factors, including the soil characteristics, the crop type, and the weather conditions.

A thorough understanding of these factors can help farmers optimize their irrigation practices and improve crop yields.

Learn more about soil salinity:

https://brainly.com/question/32219961

#SPJ11

If δabc is reflected over the x-axis and then dilated by a scale factor of 3 about the origin,  the vertices of δA″B″C″ are located at:

(−9, −9), (−3, −6), and (0, −12).

We have the following information available from the question is:

If δabc is reflected over the x-axis and then dilated by a scale factor of 3 about the origin.

We have to find the location of the vertices δa″b″c″.

Now, According to the question:

(x, y)                         →             (x, -y)

Points at A = (-3, 3)   →  Points at A' = (-3, -(3)) = (-3, -3)

Points at B = (-1, 2)   →  Points at B' = (-1, -(2)) = (-1, -2).

Points at C = (0, 4)   →  Points at C' = (0, -(4)) = (0, -4).

Next, we would dilate by multiplying with a scale factor of 3 about the origin:

Points at A' = (-3 × 3, -3 × 3) = (-9, -9)

Points at B' = (-1 × 3, -2 × 3) = (-3, -6)

Points at C' = (0 × 3, -4 × 3) = (0, -12)

Learn more about Reflected at:

https://brainly.com/question/15487308

#SPJ4