nd the absolute extrema of f(x) 6/2 on the interval (-3,2). .X-4 aximum, fc o) - ; minimum, fc = A

Answer: They are both tesselate shapes

Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate

If a and n are relatively prime (gcd(a, n) = 1), it does not guarantee that the equation x ≡ a (mod n) has solutions.

If a and n are relatively prime, denoted by gcd(a, n) = 1, it means that a and n do not have any common factors other than 1. However, this does not guarantee that the equation x ≡ a (mod n) has solutions.

The equation x ≡ a (mod n) represents a congruence relation, where x is congruent to a modulo n. This equation implies that x and a have the same remainder when divided by n.

To have solutions for this congruence equation, it is necessary for a to be congruent to some number modulo n. In other words, a must lie in the residue classes modulo n. However, the fact that gcd(a, n) = 1 does not ensure that a is congruent to any residue modulo n, hence not guaranteeing the existence of solutions for the equation.

Therefore, when n = 1, we cannot conclude that the equation x ≡ a (mod n) has solutions.

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Answer:

78

Step-by-step explanation:

x + 21 = 3x - 15

- x          - x

21 = 2x - 15

+ 15       + 15

36 = 2x

/ 2     / 2

18 = x

2 (x + 21)

2 (18 + 21)

36 + 42

78

Answer:

the answer is option D

y =(3/4)x - (3/2)

Answer:

The age distribution of a population is shown.

a. The probability that a person chosen at random is at least 15 years old is 14%

b. The probability that a person chosen at random is 25 - 44 years old is 26%

The probability that a person chosen at random is at least 15 years is 80%

The probability that a person chosen at random is 25 - 44 years old is 26%

Probability determines how likely it is that a stated event would occur. This probability lies between 0 and 1.

The probability that a person chosen at random is at least 15 years = sum of percentages of people at least 15 years old : 14 + 13 + 13 + 15 + 12 + 13 = 80%

The probability that a person chosen at random is 25 - 44 years old : 13% + 13% = 26%

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The two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.

Study 1 was carried out by the National Cancer Institute and Harvard University, and they collected information about the exercise habits of around 661,000 middle-aged adults from six large ongoing health surveys. They then divided the data into various segments based on the weekly exercise time as a parameter.

The group with no exercise had the highest risk of premature death. Minimal exercise that is less than the recommended levels could still reduce the risk of premature death by 20%.

The group that followed the standard exercise guidelines of 150 min/week of moderate exercise had a 31% lower probability of premature death. Individuals who exercised three times the recommended levels had the best benefits, with a 39% reduction in the risk of premature death.

However, increasing the exercise time did not have a significant effect on mortality risk rates. Study 2 was conducted by James Cook University in Cairns. They collected health survey data for over 200,000 Australian adults, which was then analyzed with corresponding death statistics. Their analysis was more detailed than the first study since they divided the data according to exercise stress levels ranging from normal to strenuous.

The results were similar to the first study, but there were some additional findings. The study showed that adhering to the general recommended exercise guidelines substantially decreased the risk of premature death, even with moderate exercise like walking. Intense exercise had little to no effect on mortality rates.

However, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.

In conclusion, the two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.

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The money Robin had at the first was $2850

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, Robin spent 20% of his money on a tablet and 3/5 of the remaining money on a mobile phone. After that, he had $912 left, we need to find how much money did he have at first,

Let Robin have $100,

Therefore,

Money spent on tablet = 20% of 100 = $20

Remaining money = $100 - $20 = $80

Money spend on mobile = 3/5 of 80

= $48

Money left with Robin = 80 - 48 = $32

We have, money left with Robin = $912

Therefore,

$32 = $912

$1 = 28.5

For $100 = $2850

Hence, the money Robin had at the first was $2850

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Answer:

5 tickets are 60 bucks and 11 tickets are 132 bucks

Step-by-step explanation:

Since 4 movie tickets cost 48 bucks, 4 x 12 equals 48. So a ticket is 12 bucks each, which means 5 tickets are 60 bucks, and 11 tickets are 132.

Answer:

AM sorry cant help

Step-by-step explanation:

Answer: A = 117 units^2

Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.

A = (w)(l)                                                                                                                   A = (9)(13)                                                                                                               A = 117 units^2

The prime factorization of 9999 is 3 x 11 x 101, and it is significant in understanding divisors, prime factor applications, and cryptography.

The prime factorization of the number 9999 is 3 x 11 x 101. This means that 9999 can be expressed as the product of these prime numbers. In mathematics, prime factorization is the process of breaking down a composite number into its prime factors.

The significance of prime factorization lies in its fundamental role in number theory and various mathematical applications. Prime factorization helps in understanding the divisors and factors of a number. It provides insight into the unique combination of prime numbers that compose a given number.

In the case of 9999, its prime factorization can be used to determine its divisors. Any divisor of 9999 will be a product of the prime factors 3, 11, and 101. Furthermore, prime factorization is utilized in various mathematical algorithms and cryptographic systems, such as the RSA encryption algorithm, which relies on the difficulty of factoring large composite numbers into their prime factors.

In summary, the prime factorization of 9999 provides a way to express the number as a product of prime numbers and holds significance in understanding divisors, prime factor applications, and cryptography.

complete question should be  What is the prime factorization of the number 9999, and what is its significance in mathematics or number theory?  

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Answer:

a is a linear equation

Step-by-step explanation:

Part A

we have the equation

(x-13)^2+(y-4)^2=16

Rewrite as

(x-13)^2+(y-4)^2=4^2

so

The center of the circle is the point (13,4)

The radius of the circle is 4 units

using a graphing tool

Part B

Remember that

If an ordered pair lies on the circle, then the ordered pair must satisfy the equation of the circle

so

Verify each ordered pair

Hunter (11,4)

For x=11 and y=4

substitute in the equation of the circle

Is not true

so

Hunter is not in the spotlight

Joe (8,5)

x=8 and y=5

Is not true

so

Joe is not in the spotlight

Mason (15,5)

x=15 and y=5

Is not true

Mason is not in the spotlight

The number of degrees of freedom for the two-sample t test or confidence interval (CI) in the given situation is 23.

In a two-sample t test or CI, the degrees of freedom (df) can be calculated using the formula:

df = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2)/(n1 - 1) + ((s2^2/n2)^2)/(n2 - 1)]

Here, m represents the sample size of the first group, n represents the sample size of the second group, s1 represents the standard deviation of the first group, and s2 represents the standard deviation of the second group.

Substituting the given values, we have:

df = [(4.0^2/12 + 6.0^2/15)^2] / [((4.0^2/12)^2)/(12 - 1) + ((6.0^2/15)^2)/(15 - 1)]

  = [(0.444 + 0.24)^2] / [((0.444)^2)/11 + ((0.24)^2)/14]

  = [0.684]^2 / [0.0176 + 0.012857]

  = 0.4682 / 0.030457

  ≈ 15.35

Rounding down to the nearest whole number, we get 15 degrees of freedom.

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Answer:

the only thing you miss is that r=90

Step-by-step explanation:

Step-by-step explanation:

1.

-1 + 2x = 9

to get the solution

2x = 10

x = 5

2.

4 = 8 - x

x = 8 - 4 = 4

x/4 = 1

we could also write this

4 = 8 - x | /4

1 = 2 - x/4

x/4 = 1

x = 4

3.

x/2 - 3 = -5

to solve

x/2 = -2

x = -4

Answer:

$2.73

Step-by-step explanation:

$ 0.39 x 7 lbs = $2.73

Answer:

$2.73

Step-by-step explanation:

y=0.39x

y=0.39(7)

y=$2.73

Answer:

Brown would be it

Step-by-step explanation:

Answer:

A. -16

Step-by-step explanation:

6 times -16 = -96 + 24 = -72

4 times -16 = -64 + 12 = -52

Answer:

A. Inside the circle

Step-by-step explanation:

K(0, 0), U (6, - 4), V (\( \sqrt 2,\: 7)\)

In order to determine whether point V lie inside, outside or on the circle, first we will find the distances between points K & U and then K & V.

KU would be radius of the circle.

\(d(KU) = \sqrt{ {(6 - 0)}^{2} + {( - 4 - 0)}^{2} } \\ = \sqrt{ {6}^{2} + {( - 4)}^{2} } \\ = \sqrt{36 + 16} \\ \red{ \bold{ d(KU)= \sqrt{52} }} \\ \\ d(KV) = \sqrt{ {( \sqrt{2} - 0)}^{2} + {( 7 - 0)}^{2} } \\ = \sqrt{ {( \sqrt{2)} }^{2} + {(7)}^{2} } \\ = \sqrt{2 + 49} \\ \purple{ \bold{ d(KV)= \sqrt{51} }} \\ \\ \because \: d(KU) > d(KV) \\ \)

Hence point V lie inside of the circle.

Answer:

a shift of h units left

Step-by-step explanation:

given f(x) then f(x± h) is a horizontal translation of h units

• if + h then a shift left of h units

• if - h then a shift right of h units

then

f(x + h) is a shift of h units to the left

Answer:

Value of given expression is 3⁻¹⁴

Step-by-step explanation:

Given expression:

3⁻⁸ x 3⁻⁴ x 3⁻²

Find:

Value of given expression

Computation:

⇒ 3⁻⁸ x 3⁻⁴ x 3⁻²

⇒ 3[⁻⁸⁻⁴⁻²]

⇒ 3⁻¹⁴

Value of given expression is 3⁻¹⁴

Answer:

C

Step-by-step explanation:

\(Answer:\ f^{-1}(x)=\sqrt[3]{x} -4\)

Step-by-step explanation:

\(f(x)=(x+4)^3\)

Extract the cube root from both parts of the equations:

\(\sqrt[3]{f(x)} =x+4\\\sqrt[3]{f(x)}-4=x+4-4\\ \sqrt[3]{f(x)} -4=x\)

Redefine the variables:

\(f^{-1}(x)=\sqrt[3]{x} -4\)

Answer:

The picture cuts off the rest of he question please take another.

Step-by-step explanation:

There were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

Let x = the number of buttons in box a initially.

There were 3x buttons in box a initially, and x buttons in box b initially.

15% of x is 0.15x, and 10% of x is 0.10x.

Thus, the 33% increase in buttons for box c was (0.15x + 0.10x).

We can set up the equation as follows:

0.15x + 0.10x + x + x = 266

0.25x + 2x = 266

2.25x = 266

x = 266/2.25

x = 118.22

Thus, there were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

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When the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, Camilla's meal cost $369.

Given that,

Original Meal Cost: $300

Sales Tax: 8% of the original meal cost

Tip: 15% of the original meal cost

Total Cost: Sum of the original meal cost, sales tax, and tip

Original Meal Cost = $300

Sales Tax = 8% of $300 = 0.08 * $300 = $24

Tip = 15% of $300 = 0.15 * $300 = $45

Total Cost = Original Meal Cost + Sales Tax + Tip

Total Cost = $300 + $24 + $45 = $369

Including tax and tip, Camilla's meal cost $369.

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The problem of multicollinearity. Multicollinearity refers to a situation in which two or more independent variables in a multiple linear regression model are highly correlated with each other.

This can lead to problems in estimating the regression coefficients accurately and can also result in unstable and inconsistent estimates of the coefficients. Multicollinearity can also make it difficult to determine the individual effects of the independent variables on the dependent variable, as well as to detect which variables are significant predictors.

Multicollinearity can also have a negative impact on the validity of hypothesis tests and can lead to over-fitting of the model. When the independent variables are highly correlated with each other, the regression coefficients are less precise and can have large standard errors, making it difficult to determine their significance.

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Multicollinearity occurs when two or more independent variables are highly correlated, meaning that one can be easily predicted from the other. This can lead to an unreliable model as it can produce inaccurate results.

Multicollinearity occurs when two or more independent variables in a multiple linear regression model are highly correlated, meaning that one can be easily predicted from the other.

If an independent variable is an exact linear combination of other independent variables, then the model is suffering from multicollinearity, which can cause the coefficients to be unstable and have large standard errors.

To address this issue, researchers can use techniques such as principal component analysis or ridge regression to reduce the correlation between the independent variables. These techniques can help improve the accuracy and reliability of the model.

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Answer:

( x-6) ^2 + ( y+4) ^2 = 9

Step-by-step explanation:

The equation of a circle is given by

( x-h) ^2 + ( y-k) ^2 = r^2  where (h,k) is the center and r is the radius

( x-6) ^2 + ( y- -4) ^2 = 3^2

( x-6) ^2 + ( y+4) ^2 = 3^2

( x-6) ^2 + ( y+4) ^2 = 9

Answer:

2850

Step-by-step explanation:

We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: \(\frac{19}{100}=\frac{x}{15000}\), cross multiply and get 2850.

Answer:

2850 sedans per month

Step-by-step explanation:

19 % want sedans

They expect to sell 15000 cars

Take the number of cars and multiply by the percent sedans

19% * 15000

Change to decimal form

.19*15000

2850