find the critical numbers of the function. (enter your answers as a comma-separated list. use n to denote any arbitrary integer values. if an answer does not exist, enter dne.) g(theta)

Given data

The length of the square L = 25 in

Use the formula for the perimeter of a square below, to find the perimeter.

Use the formula for the area of a square below, to find the area.

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\)

Given

\(11^{x}\) = \(11^{4}\) × \(11^{5}\) = \(11^{(4+5)}\) = \(11^{9}\)

Since the bases on both sides are common, then equate the exponents

x = 9

Answer:

The line graph because it shows how the number of miles increases over the number of minutes.

Step-by-step explanation:

ake it or leave it

The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."

A graph can be defined as a visual representation or a diagram that represents data or values.

The distance in miles a car travels over time in minutes is shown in the table.

Distance (miles)    Time (minutes)

    10                                 15

   20                                 30

   30                                 45

   40                                 60

A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.

Hence, the correct answer would be an option (A).

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The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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We have explained all the steps to solve an infinite arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.

When it comes to solving an infinite arithmetic sequence, you can use the following formulas:

The n-th term of an arithmetic sequence can be represented as a+(n-1)d, where "a" is the first term, "d" is a common difference, and "n" is the position of the term in the sequence.

The sum of the first n terms of an arithmetic sequence is represented as S_n = n/2(2a + (n-1)d), where "a" is the first term, "d" is a common difference, and "n" is the number of terms.

If a sequence is infinite, the sum of all terms can be represented as S_inf = a/(1-r) where "a" is the first term and "r" is the common ratio (r=1+d)

Hence, we have explained all the steps to solve an infinite arithmetic sequence.

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Answer:

B

Step-by-step explanation:

With answer B, x is marked 4 on the x-axis and because there was no given y-intercept, the line must be vertical.

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

The number of employees that must be included in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean is 107 employees.

To estimate the mean number of hours worked by all grocery store employees in the county with 95% confidence and a margin of error of 1.5 hours, we can use the sample size formula:

n = (Z * σ / E)²

where:
- n is the required sample size
- Z is the critical value (1.96 for a 95% level of confidence)
- σ is the population standard deviation (7.9 from the previous study)
- E is the margin of error (1.5 hours)

Plugging in the given values:

n = (1.96 * 7.9 / 1.5)²

n ≈ 106.56

Since you cannot have a fraction of an employee, you need to round up to the nearest whole number. Therefore, the researcher must include 107 employees in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean.

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Answer:

litres bro

Step-by-step explanation:

yes the litres answer is correct

Answer:

excusme where is the model

Step-by-step explanation:

Answer:

The first one

because there is only one parent is the photo that i'm looking at

The probability of selecting at least one defective item at random is 0.3017.

The probability of an event occurring at least once will be calculated as the complement of the probability of the event never occurring. You can use exponents to multiply the number of events that occurred when calculating this amount.

Defect rate = P(defect) = 0.05

Probability is defined as the required outcome divided by the total number of possible outcomes.

P( at least 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^7

P(none defective) = 0.95× 0.95 × 0.95 × 0.95 × 0.95× 0.95× 0.95=0.6983

P(at least one is defective) = 1 - 0.6983 = 0.3017

Therefore, probability of at least one defective item is 0.3017.

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Bartlett Company is in a healthy financial position, with strong liquidity, consistent profitability, and diverse revenue streams.

The Strengths are defined as,

The company has a healthy current ratio, which indicates that it can meet its short-term obligations efficiently.

The company has been consistently generating profits over the years, and its net income has been increasing.

Bartlett Company generates revenue from multiple sources, which reduces the risk of dependence on a single source.

The Weaknesses are defined as

An increasing debt level can put pressure on the company's financial position in the long run.

Bartlett Company's return on equity (ROE) is relatively lower compared to the industry average, indicating that the company is not generating as much profit from its equity as its peers.

The company has a low dividend payout ratio, which means that it is not distributing much of its profits to shareholders in the form of dividends.

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Answer:

(7 x 3) + (7 x 1)

I believe that may be false

Answer:

Step-by-step explanation:

True.

Aldosterone is a hormone produced by the adrenal gland that plays an important role in regulating electrolyte and water balance in the body. It acts on the cells of the distal tubules and collecting ducts of the kidneys to increase the reabsorption of sodium ions and the secretion of potassium ions.

This helps to increase blood volume and blood pressure by retaining more sodium and water in the body while getting rid of excess potassium. Aldosterone release is regulated by the renin-angiotensin-aldosterone system, which is activated in response to low blood pressure or low sodium levels in the blood.

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Answer:

The skater has done half of the  potential energy 2750

Step-by-step explanation:

5500 divided by 2 = 2750

The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.

To calculate the expected time for activities, we can use the formula for expected value.

The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:

1. List all the activities and their corresponding times and probabilities.

2. Multiply the time for each activity by its probability.

3. Sum up the values obtained in step 2.

For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours

Therefore, the expected time for these activities is 2.8 hours.

Here full question is not provided  but the full answer given above.

Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.

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Answer:

The planets in decreasing order according to temperature are:

Venus , Earth, Mars, Saturn, Neptune

Step-by-step explanation:

The given temperatures consist of negative and positive temperatures.

In negative numbers, the greater the magnitude of the temperature the smaller it is.

Arranging the temperature in descending order

468°C

15°C

-29°C

-139°C

-201°C

Now arranging the planets according to sorted temperature

Venus , Earth, Mars, Saturn, Neptune

The 5-number summary of the data is:

Minimum: 11

First quartile (Q1): 23

Median: 35

Third quartile (Q3): 55

Maximum: 99

The mean of the data is 43.22. The standard deviation is 16.58.

The 5-number summary gives us a good overview of the distribution of the data. The minimum value is 11, which is the smallest data point. The first quartile (Q1) is 23, which is the median of the lower half of the data. The median is 35, which is the middle data point. The third quartile (Q3) is 55, which is the median of the upper half of the data. The maximum value is 99, which is the largest data point.

The mean of the data is 43.22. This means that the average value of the data points is 43.22. The standard deviation is 16.58. This means that the typical deviation from the mean is 16.58.

The boxplot is a graphical representation of the 5-number summary. The boxplot shows the minimum, Q1, median, Q3, and maximum values. It also shows the interquartile range (IQR), which is the difference between Q3 and Q1. The IQR is a measure of the spread of the middle 50% of the data.

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Answer:

The percent increase is 200%.

Step-by-step explanation:

____________________________________________________

percent change = (new number - old number)/(old number) × 100%

A positive percent change is a percent increase. A negative percent change is a percent decrease.

____________________________________________________

new number = 33

old number = 11

percent change = (33 - 11)/(11) × 100%

percent change = 22/11 × 100%

percent change = 2 × 100%

percent change = 200%

Answer: The percent increase is 200%.

There are 35 possible samples of size 3 that can be taken without replacement from this finite population as Here a finite population p = {3, 6, 9, 12, 15, 18, 21}

We want to get how many samples of size 3 can be taken without replacement.
To get the number of samples of size 3, we will use the combination formula: C(n, k) = n! / (k!(n - k)!)
Where n is the population size, k is the sample size, and ! denotes the factorial.
In this case, n = 7 (since there are 7 numbers in the population) and k = 3 (since we want samples of size 3).
Plugging these values into the formula:
C(7, 3) = 7! / (3!(7 - 3)!)
C(7, 3) = 7! / (3!4!)
C(7, 3) = (7 × 6 × 5 × 4 × 3 × 2 × 1) / ((3 × 2 × 1) × (4 × 3 × 2 × 1))
C(7, 3) = (7 × 6 × 5) / (3 × 2 × 1)
C(7, 3) = 210 / 6
C(7, 3) = 35
There are 35 possible samples of size 3 that can be taken without replacement from this finite population.

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Answer:

81+49=c^2

c=11.74

this is the right answer

Answer:

root 130 is the may the correct if it is wrong sorry

Answer:

Step-by-step explanation:

Answer:

3.14 square cm

Step-by-step explanation:

Since, a coin is circular in shape, hence its area would be equal to the area of a circle.

\(\therefore are \: of \: coin = \pi {r}^{2} \\ = 3.14 \times {1}^{2} \\ = 3.14 \times 1 \\ = 3.14 \: {cm}^{2} \\ \)

Answer:

\(log_2(512) = 9\)

Step-by-step explanation:

\(We \: need \: to \: calculate \: log_2(512)\)

\(512 = 2 {}^{9} ⟼ log_{2}(512) = log_{2} (2 {}^{9} ) \)

\( log_{a}b {}^{n} = n \: log_{a}b\)\(⟼ log_{2} {2}^{9} = 9 \: log_{2}2\)

\(since \: log_{a}a = 1⟼ log_{2}(512) = 9\)

When on a stem and leaf plot and it does not show a number on the right side and only on the right side, the number on the right side would be zero.

A stem and leaf plot is a method of organizing numerical data into groups. It is a visual representation of a dataset in which each value is separated into a stem and a leaf. A stem is the left-hand digit(s) of the value, while a leaf is the right-hand digit(s).

The stem and leaf plot contains two columns, one for the stem and the other for the leaf. The stem values are arranged vertically in the left-hand column, and the leaf values are arranged horizontally in the right-hand column. The leaf column should be read from left to right to extract the values.

When a value appears multiple times, its leaves are stacked on top of one another. The stem and leaf plot is an effective method for representing data, particularly when dealing with large datasets.

Hence, If a stem and leaf plot displays a number only on the left side and not on the right side, then the number on the right side would be interpreted as zero.


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