How many sides does a regular polygon have if each interior angle measures 176^{\circ}
∘

Answer:  45

Step-by-step explanation:

The kitten will catch the puppy in 9 seconds. To find out how soon the kitten will catch the puppy, we need to calculate the time it takes for each of them to cover the distance between them. Let's use the formula: time = distance / speed.

For the puppy, the distance to cover is 180 meters, and the speed is 25 meters per second. So the time it takes for the puppy to cover the distance is:
time = 180 / 25 = 7.2 seconds
For the kitten, the distance is also 180 meters, but the speed is 20 meters per second. So the time it takes for the kitten to cover the distance is:
time = 180 / 20 = 9 seconds

Since the kitten takes longer to cover the distance than the puppy, we know that the kitten will catch the puppy after 9 seconds.

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Answer: The  test tells us that the series diverges.

The series ∑n=1[infinity] n!/5⋅11⋅17⋯(6n−1) diverges according to the Ratio Test.

Let's try the Ratio Test:

To test the series for convergence or divergence, the best test to use for this series is the Ratio Test.

Compute lim(n→infinity)|a(n+1)/a(n)| = lim(n→infinity)|((n+1)!5⋅11⋅17⋯(6(n+1)−1))/(n!5⋅11⋅17⋯(6n−1))|.

By simplifying, we get lim(n→infinity)|((n+1)(6n+5))/(6n+5)| = lim(n→infinity)|(n+1)| = infinity (INF).

Since the limit is greater than 1 (INF > 1), the Ratio Test tells us that the series diverges.

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Answer:

5 days in total

Step-by-step explanation:

12 divided by 4 is 3. he jarred 3 liters a day so add one more day to get 15 and you get 5 days.

The margin of error for this confidence interval is 0.145.

Given :

a confidence interval for a proportion ranges from 0.45 to 0.74.

Confidence interval :

A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times

Margin of error :

Margin of error, also called confidence interval, tells you how much you can expect your survey results to reflect the views from the overall population.

Length of confidence interval = 0.74 - 0.45

= 0.29

we know that,

Margin of error = 1/2 * length of confidence interval.

= 1/2 * 0.29

= 0.29/2

= 0.145

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Answer:

Area = 6x^2 + 9x - 15.

Step-by-step explanation:

Its area = height * width

= 3 *  (2x2 + 3x – 5)

=  6x^2 + 9x - 15.

Step-by-step explanation:

13.5 is the difference of the length of the roads

Answer:

it should be 3e-3/2f=3/8

Step-by-step explanation:

you will multiply 1/2 to everything in the parenthesis

Answer:

2

Step-by-step explanation:

Answer:

|-100| > |50|

Step-by-step explanation:

|-100| = 100

|50| = 50

100 > 50

Answer:

Given:

time taken by first pipe = 15 hours

time taken by second pipe = 5 hours

time taken by all three pipes together = 3 hours

work rates of pipes are :

1st pipe = 1/15

2nd pipe = 1/5

3rd pipe = 1/x

all together = 1/3

sum of individual rates = rate when all pipes are working together

1/15 + 1/5 + 1/x = 1/3

1/x = 1/3 - 1/15 - 1/5

solving the equation, we get
1/x = 1/ 15

x= 15

hence, it would take 15 hours for the third pipe to fill the tank.

Answer:

The sale price will be 143.20

Step-by-step explanation:

20% of 179 is 35.80

179 - 35.80 = 143.20

The growth factor of a bacteria population will depend upon a variety of factors, including the type of bacteria, the environment, and the availability of resources.

In general, however, if a bacteria population is growing exponentially with a growth factor of each hour, then the growth factor of each half hour is equal to the square root of the growth factor of each hour. This is because, in exponential growth, the growth rate is proportional to the current size of the population.

Thus, if the growth rate is doubling every hour, then it will be increasing at the square root of two (1.414) each half hour.

In other words, the growth factor of a bacteria population can be calculated by taking the square root of the growth factor of each hour. For example, if the population is doubling every hour, then the growth factor of each half-hour would be the square root of two (1.414).

Similarly, if the population is tripling each hour, then the growth factor of each half-hour would be the square root of three (1.732).

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Answer: Wouldn't that make it x=44

Step-by-step explanation:

I just divided 176 by 4  because it said the value of y varies directly with x. So just used the rule they used i guess.

Answer:

d

Step-by-step explanation:

Answer:

D. y = -3x

Step-by-step explanation:

plug x into the equation:

y = -3(-4) = 12 (s0 when x = -4, y = 12)

y = -3(-3) = 9

y = -3(-2) = 6

y = -3(-1) = 3

Answer:

x = 12

Step-by-step explanation:

Angle 1 = 8x - 17

Angle 2 = 5x + 19

These are congruent which means they are the same so the equation is:

8x - 17 = 5x + 19

3x - 17 = 19

3x = 36

x = 12

Answer:

last option is correct

Step-by-step explanation:

8x-17=5x+19(being corresponding angles)

8x-5x=19+17

3x=36

x=36/3

x=12

Answer:

It would be 4 or C.

Step-by-step explanation:

Hope this helps!

Good Luck!

:)

A line has an equation \(y=mx+n\) you have \(x=0,y=6,m=-\frac{2}{3}\) so,

\(6=-\frac{2}{3}\cdot0+n\implies n=6\)

and the obtained equation is,

\(y=-\frac{2}{3}x+6\)

Hope this helps :)

Answer:

Step-by-step explanation: Negatives because a number lower than 0 go like this -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 see? so the answer is Negatives.

The probability that a household views television more than 6 hours is approximately 0.0668.

Given that the mean daily viewing time of television is μ = hours per household and the standard deviation is σ = hours per household.

We need to use the normal probability distribution to answer the following questions about daily television viewing per household.

The probability of a household viewing television more than 6 hours can be found using the standard normal distribution as follows:

Z = (x - μ)/σ

We need to find P(x > 6)P(x > 6) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ)

The mean daily viewing time of television is given as μ = 4.8 hours per household, and the standard deviation is given as σ = 0.8 hours per household.

The standardized value of 6 is:

Z = (6 - 4.8) / 0.8 = 1.5

Thus, we need to find the area under the standard normal curve to the right of 1.5 using the standard normal table or technology.P(Z > 1.5) = 0.0668

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The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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when multiplying fractions , multiply across the numerator and denominator

you dont need common denominators

example

\(\frac{1}{2}*\frac{4}{5}=\frac{1*4}{2*5}\)

Hope this helps : -)

- Jeron

The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.

Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.

Given:

Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)

Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)

T-statistic: t = 2.73

Degrees οf freedοm: df = 5

Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.

Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.

Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.

Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).

Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:

p-value = 0.0257 / 2 = 0.01285

Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.

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Answer:

The last one 4x4

Step-by-step explanation:

Answer:

last one, D.

Step-by-step explanation:

There are 72 ways for people to sit around a round table if Pierre and Thomas want to sit together, but Rosa doesn't want to sit next to either of them.

First, we can seat Pierre and Thomas next to each other as a block. There are 2 ways to arrange them (PT or TP).

Next, we can seat Rosa in one of the 6 available seats that are not next to the block. There are 6 ways to do this.

Then, we can seat the remaining 4 people in the 4 available seats. There are 4! ways to do this.

Finally, we need to account for the fact that rotations are not distinct but reflections are distinct. Since there are 8 people seated around the table, there are 8 possible rotations. However, if we reflect the table (i.e., flip it over), we get a different seating arrangement. Therefore, there are 16 distinct arrangements.

Putting it all together, we have:

2 (arrangements for Pierre and Thomas) x 6 (arrangements for Rosa) x 4! (arrangements for the remaining 4 people) x 16 (accounting for distinct reflections) = 72

Therefore, there are 72 ways for people to sit around a round table if Pierre and Thomas want to sit together, but Rosa doesn't want to sit next to either of them.

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Answer:

y=6

Step-by-step explanation: yes

The socially efficient rate of output can be determined by finding the point where the marginal willingness to pay (MWTP) is equal to the marginal cost (MC). In this case, the efficient rate of output occurs at 7 units, where MWTP is equal to 8.

To show that at any other output level, the net benefits to society will be lower than they are at the efficient level, we can compare the net benefits at different output levels.

At the efficient level of 7 units, the net benefit to society is the difference between the MWTP (8) and the MC (8), which is zero.

For any other output level, the net benefits to society will be lower. Let's take the example of 6 units. The MWTP at this level is 10, while the MC is 11. Therefore, the net benefit is -1, indicating that society is worse off compared to the efficient level.

Similarly, for output levels below 6 units, the net benefits will be negative, indicating a loss to society. And for output levels above 7 units, the net benefits will be positive, but decreasing, indicating diminishing returns.

In conclusion, the socially efficient rate of output is 7 units, where net benefits are maximized. Deviating from this level results in lower net benefits to society, indicating a loss of efficiency.

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Answer: WY=4.4 mm

Step-by-step explanation:

WY=WX/2

WY=8.8/2

WY=4.4 mm

Answer:

3xn=27

Step-by-step explanation:

n=days

3 per day

per=multiply

3xday

3 x n

27 total so

3 x n=27

Answer:

3x n=27

Step-by-step explanation:

This is a multiplication problem involving a total of 27, which only applies to option 2.

Option 1 does not =27, option 3 and 4 are not multiplying

Answer:

(-6,0) and (3,0)

Step-by-step explanation:

This function has two x intercepts: (-6,0) and (3,0)

Answer:

(- 6, 0) and (3, 0)

Step-by-step explanation:

Whenever a question mentions the x-intercept, the y intercept is 0 and vice versa.

Now, putting the equation equal to 0, we get:

= x + 6 = 0 and x - 3 = 0

= x = - 6 and x = 3

So the point is (- 6, 0) and (3, 0)

Hope this helps, and please mark me brainliest if it does!

Answer:

Step-by-step explanation:

a