math sceenshot answer the sceenshot

The property descriptions which the township is located in is 9 North and Range 6 West

The townships serve as the main elements in the government's rectangular survey approach for identifying the position of properties. A township comprises a square region of six miles on all its four sides.

In order to ascertain the exact township where the property is situated, it is necessary to compute the township coordinates using the specified distance.

From the information given, we have to convert the distance to township units.

We have;

57 miles north / 6 miles = 9.5 townships north

38 miles west / 6 miles = 6.33 townships west

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Answer:

3(x-1)

Step-by-step explanation:

12+3x-15

-3+3x

3(x-1)

The tension on each chain is approximately 17.32 pounds.

The tension on each chain can be calculated using the concept of equilibrium. Since the birdbath is supported by three equally spaced chains attached to a tree branch, the weight of the birdbath is distributed evenly among the chains. To find the tension on each chain, we can divide the total weight of the bird bath (10 pounds) by the number of chains (3). Thus, each chain experiences a tension of approximately 3.33 pounds. However, we need to consider the vertical component of the tension caused by the weight of the birdbath. Drawing a free-body diagram, we can see that the vertical component of the tension cancels out the weight of the bird bath. Using basic trigonometry, we find that the vertical component is equal to the tension multiplied by the cosine of the angle between the chain and the vertical. In this case, the angle is 30 degrees since the chains are equally spaced. Therefore, the tension on each chain is approximately 17.32 pounds.

In equilibrium problems like this, the total weight is distributed evenly among the supporting components, in this case, the chains. Understanding the principles of equilibrium and resolving forces can help determine the tension on each chain accurately.

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Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

Answer:

610

Step-by-step explanation:

Multiply the monthly $40 by the 9 months

(40 times 9 = 360)

Then you would need to add in the original $250 deposit money

(360 + 250 = 610)

Answer:

B. x > 3

Step-by-step explanation:

Well we first simplify the following inequality,

3(8 - 4x) < 6(x - 5)

Distribute

24 - 12x < 6x - 30

Communicative property

-6x

24 - 18x < -30

-24

-18x < -54

Divide -18x by both sides

Which flips the < to a >.

x > 3

Thus,

the answer is B. x > 3.

Hope this helps :)

Christopher needs to work 20 hours during the next week to earn $368.00, assuming he is paid the same hourly wage as the previous week.

What is the proportion?

A proportion is a statement that two ratios are equal. Ratios compare two quantities by expressing the relationship between them in terms of their sizes or amounts. A proportion can be written in the form of a fraction or a ratio, and it expresses the equivalence of two ratios.

We can solve this problem using proportionality. We know that Christopher earned $404.80 for working 22 hours, which means his hourly wage can be calculated as:

hourly wage = total earnings / total hours worked = $404.80 / 22 hours = $18.40 per hour

Now we can use this hourly wage to find the number of hours Christopher needs to work to earn $368.00. Let's assume he needs to work x hours to earn $368.00. We can set up a proportion based on the hourly wage:

$18.40 per hour = $368.00 / x hours

To solve for x, we can cross-multiply:

$18.40 per hour * x hours = $368.00

Simplifying the left-hand side:

x = $368.00 / $18.40 per hour

x = 20 hours

Hence, Christopher needs to work 20 hours during the next week to earn $368.00, assuming he is paid the same hourly wage as the previous week.

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Answer:

Simple random sampling

Step-by-step explanation:

The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.

Thus question given corresponds to this definition.

Answer:

a) no roots not in LHP

b) 2 roots not in LHP

c) 2 roots not in the LHP

d) 2 roots not in the LHP

e) 2 roots not in LHP

Step-by-step explanation:

As per the unitary method, President George H.W. Bush was 64 years old when he was inaugurated. (option c)

Let's begin by using the unitary method to solve the problem.

We are given that if we divide the age of President George H.W. Bush when he was inaugurated by 2 and add 14 years, we get the age of President Clinton when he was first inaugurated. Let's represent the age of President George H.W. Bush when he was inaugurated by x.

So, according to the problem,

x/2 + 14 = age of President Clinton when he was first inaugurated

We know that the age of President Clinton when he was inaugurated was 46 years. Therefore, we can substitute the value of the age of President Clinton in the above equation and solve for x.

x/2 + 14 = 46

x/2 = 46 - 14

x/2 = 32

x = 32 x 2

x = 64

Hence the option (c) is correct.

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A one-sample t-test is conducted to determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s. The test results fail to reject the null hypothesis, indicating that recent winners do not appear to be significantly different from those in the 1920s and 1930s.

To determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s, a one-sample t-test can be conducted. Using the given sample, the sample mean BMI is calculated to be 18.5.

The null hypothesis is that the population mean BMI of recent winners is equal to 19.2. The alternative hypothesis is that the population mean BMI of recent winners is different from 19.2.

Assuming a significance level of 0.05 and using a two-tailed test, the calculated t-value is -2.08 and the corresponding p-value is 0.057.

Since the p-value is greater than the significance level, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that recent Miss America winners have significantly different BMI compared to winners from the 1920s and 1930s.

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The probability that exactly 6 are white and 2 are red is equals to 7/15 and the probability that at least 6 of the balls are white is equals to the 8/15.

The probability of a series of dependent of events may be found by finding the probability of each event and combining all the probabilities together. We have a urn which contains total 10 balls.

Number of white balls in urn, W = 7

Number of red balls in urn, R = 3

Now, a sample of 8 balls is selected randomly without replacement. We have to determine the probability that exactly 6 are white and 2 are red.

The number of ways selecting 8 balls among 10 = ¹⁰C₈ = 10!/8!2! = 45

The number of ways selecting 6 white balls among 7 = ⁷C₆ = 7!/6! = 7

The number of ways selecting 2 red balls among 3 = ³C₂ = 3!/2! = 3

Total number of ways selecting exactly 6 white and 2 red balls = 7×3 = 21

So, probability that exactly 6 are white and 2 are red,

= favorable outcomes/total outcomes

= 21/45

= 7/15

b) ‘At least 6 white balls’ selected in 8 balls means 6 white balls and 2 red, or, 7 white balls and 1 red.

Total number of ways selecting at least 6 of the balls are white,

= ⁷C₆ × ³C₂ + ⁷C₇ ³C₁

= 21 + 7!/7! × 3!/2! = 21 + 3 = 24

Probability that at least 6 of the balls are white = 24/45 = 8/15

Hence, required probability is 8/15.

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Answer:

the answer is c

Step-by-step explanation:

because it takes a non-negative number as input and returns the square root of that number as output.

Answer:

x = -10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

Hope this helps!

Have a nice day <3

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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The set of radian angle measures that is equivalent to \(sin^{-1}(-1/2)\) is: c. 7pi/6, 11pi/6.

To find the radian angle measures that are equivalent to \(sin^{-1}(-1/2)\), we need to identify angles whose sine function evaluates to -1/2.

The sine function represents the ratio of the length of the side opposite to an angle to the length of the hypotenuse in a right triangle. It takes on values between -1 and 1.

For \(sin^{-1}(-1/2)\), we are looking for angles whose sine is equal to -1/2. In other words, we need to find angles where the ratio of the length of the side opposite the angle to the length of the hypotenuse is -1/2.

In the unit circle, the angles 7pi/6 and 11pi/6 correspond to 210 degrees and 330 degrees, respectively. At these angles, the y-coordinate of the corresponding point on the unit circle is -1/2, which satisfies the condition \(sin^{-1}(-1/2)\).

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Answer:

The tangent of the angle is 1

Step-by-step explanation:

The solution is in the image

Answer:

Step-by-step explanation:

2x + 1 + x + 23 = 180

3x + 24 = 180

3x = 156

x = 52

2(52) + 1 = 104 + 1 = 105

52 + 23 = 75

Answer:

-14

Step-by-step explanation:

4n - 6 , n= -2

= 4* (-2) - 6

= -8 -6

= - 14

Answer:

10

Step-by-step explanation:

(6x-5)+(12x+5)=180

18x=180

x=10

Answer:

Others 2367

Students 481

Step-by-step explanation:

Let x be students and y be others

x + y = 2848

x = 2848 - y...............(1)

2.50x + 3.75y = 10078.75

Substituting,

2.50(2848-y) + 3.75y = 10078.75

y = 2367

x = 2848 - 2367 = 481

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

To find the range, plug in each value of the domain into the given equation for x.

g(-2) = 2 (-2) - 5 = -9

g(0) = 2 (0) - 5 = -5

g(2) = 2 (2) - 5 = -1

g(4) = 2 (4) -5 = 3

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

We can determine the range of the function g by inputting each given domain value into the function itself.

g(x) = 2x - 5 and D = {-2, 0, 2, 4}

g(-2) = 2(-2) - 5 = -4 - 5 = -9

g(0) = 2(0) - 5 = 0 - 5 = -5

g(2) = 2(2) - 5 = 4 - 5 = -1

g(4) = 2(4) - 5 = 8 - 5 = 3

Therefore, R = {-9, -5, -1, 3}.

I hope this helps!

Answer:

c =48

Step-by-step explanation:

Answer:

The function is constant from x = -2 to x = 1.

Step-by-step explanation:

To find the range of where the function is constant, just look at the graph where the line is horizontal. It is horizontal from the x-values of x=-2 to x=1, and this is the range of when the function is constant.

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a. The inequality that represents how many miles Jodi can drive on a tank of gas is 336 ≤ 14m ≤ 448.

b. The inequality can be written as 336 ≤ 14m or 14m ≤ 448.

c. The value of m is 24 ≤ m ≤ 32.

d. The value of m must be greater than or equal to 24 and less than or equal to 32.

What is a variable?

Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Examples of variables include age, sex, company income and expenses, country of birth, capital expenditures, class grades, eye color, and vehicle kind.

Given that Jodi can drive 336 miles on one tank of gas around the town. Again she can drive 448 miles on one tank of gas on the highway.

Assume that m represents the number of miles per gallon of gas.

Then she can drive 14m miles with  14-gallon gas.

The value of 14m must be greater than or equal to 336, but less than or equal to 448.

The mathematical representation is 336 ≤ 14m ≤ 448.

Break the inequality into two inequalities:

336 ≤ 14m and 14m ≤ 448

Now divide by 14:

24 ≤ m and m ≤ 32

The compact form is:

24 ≤ m ≤ 32.

The value of m lies between 24 and 32.

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