If d(x)=9x^2 and g(x)=5x+7 then d(x)-g(x) can be rewritten as

Answer:

easy

bro

Step-by-step explanation:

so you have to calculate the equation

Answer:

Infinite solutions or the solution is all real numbers

Step-by-step explanation:

5(r+9) = 5r + 45 when simplified

This is identical to the RHS with the exception that there is an x instead of r.

What it means that if you were to graph those 2 lines in the coordinate plane they would be right on top of each other. 2 identical straight lines intersecting forever with infinite solutions.

Answer:

-i

Step-by-step explanation:

(-i)^0 = 1

(-i)^1 = -i

(-i)^2 = -1

(-i)^3 = -i

(-i)^4 = 1

(-i)^5 = -i

etc.

From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.

213 = 4 * 53 + 1

213 is 1 more than a multiple of 4.

(-i)^213 = (-i)^1 = -i

Answer:

3. would be one above the negative 5

4. 3 up from positive 4

5. would be on the negative 2

write the letters on those points respectively.

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

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The maximum number of gift packages that Rodarius can make is 30. Each gift package will contain 4 mini footballs and 1 signed autograph from the Titans.

To determine the maximum number of gift packages Rodarius can make so that each recipient gets an equal number of footballs and autographs, we need to find the greatest common factor (GCF) of the two numbers, 120 and 30.

The prime factorization of 120 is:

120 = 2³ x 3 x 5

The prime factorization of 30 is:

30 = 2 x 3 x 5

To calculate the GCF, multiply the product of the common factors by the lowest exponent:

GCF = 2 x 3 x 5 = 30

So the maximum number of gift packages that Rodarius can make is 30. Each gift package will contain 4 mini footballs and 1 signed autograph from the Titans.

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In ΔRST, the measure of ∠T=90°, the measure of ∠R=29°, and ST = 6.7 feet. Find the length of TR to the nearest tenth of a foot.

We will draw the rectangle triangle:

We can use the trigonometry property where the sine of an angle (∠R) is equal to the ratio between the opposite side (ST) and the hypotenuse (RS).

Also, the cosine of ∠R is equal to the ratio between the adyacent side (RT) and the hypotenuse (RS).

We can express this as:

The length of TR is 12 feet.

a) The given series is\(\sum (-3n/n+1)^{2n }\)where n starts from 1.

b) the limit of n√|an| as n approaches infinity is 9/7.

c) the series is divergent.

a) The given series is\(\sum (-3n/n+1)^{2n }\)where n starts from 1.
b) We can use the Root Test to determine the convergence or divergence of the given series. Let's find the limit of the nth root of the absolute value of the nth term as n approaches infinity.

\(lim_{ n = oo}\sqrt{(-3n/n+1)^{2n| }}=\\ lim _n[(3n^2)/(n+1)^2] \\\\= lim (3n^(3/2))/n^(3/2+2)/(n+1)^(3/2)\\= lim 3(n+1)^(3/2)/n^(7/2+1)\)
We can now use L'Hopital's Rule to evaluate the above limit. Taking the derivative of the numerator and denominator with respect to n, we get:

\(lim 3(3/2)(n+1)^(1/2)/[(7/2)n^(5/2+1)]\\= lim (9/7) (n+1)^(1/2)/n^(7/2)\\= 9/7\)

Therefore, the limit of n√|an| as n approaches infinity is 9/7.
c) Since the limit of n√|an| is greater than 1, by the Root Test, the series is divergent.

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Answer:

Step-by-step explanation:

Given

Find a₁

Use the nth term equation of AP

Apply to the given case and solve for a₁

Answer:

\(a_1=4\)

Step-by-step explanation:

Arithmetic sequence

General form of an arithmetic sequence: \(a_n=a+(n-1)d\)

where:

Given:

Therefore:

\(\implies a_7=-2\)

\(\implies a+(7-1)(-1)=-2\)

\(\implies a-6=-2\)

\(\implies a=4\)

Therefore:

\(\implies a_1=4\)

Answer:

Thus, the values of x are 70° and 250°

Step-by-step explanation:

Trigonometric Functions

The tangent is defined as:

\(\displaystyle \tan\theta=\frac{\sin\theta}{\cos\theta}\)

Given a value for the tangent, there are two angles with the same tangent, one of them being \(\theta\) and the other \(\theta\)+180°.

We are given:

\(\tan x=2.7475\)

The angle is the inverse tangent:

\(x=arctan (2.7475)\)

Using a scientific calculator, we find the first angle:

x=70°

The second angle is found adding 180°:

x=70°+180°=250°

Thus, the values of x are 70° and 250°

#5: estimate: 180

answer: 170

#8: estimate: 360

answer: 354

#6: estimate: 320

answer: 296

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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Answer:

60

Step-by-step explanation:

the two angles are equal angle x and the one opposite

=180-40

=120 ÷2

=60

Answer is

z = 70

x = 70

Step-by-step explanation:

z is also equal to x because two sidess are equal

40 + x + x =180

40 + 2x = 180

2x = 140

x =70

so x and z are 70 each

Answer:

3/12 or SIMPLIFIED = 1/4

Step-by-step explanation:

If he spends 1/12 of the day on soccer and he does tennis and swimming for the same amount of time that is just 1/12 +1/12+1/12=3/12 because each 1/12 is for each activity. So you answer (simplified) is 1/4

The probability that Bob is behind the curtain, given that the number is 3, is approximately 0.73 or 73%.

In order to find the probability that Bob is behind the curtain, given the number of flips is 3, we can use Bayes' Theorem: P(Bob|3) = P(3|Bob) × P(Bob) / P(3)We need to find each of the probabilities: P(3|Bob) is the probability that Bob gets 3 heads before stopping, which is (1/2)³ = 1/8. Since the coin is fair, the probability of getting heads on any given flip is 1/2, so the probability of getting three heads in a row is (1/2)³ = 1/8.P(Bob) is the probability that Bob is the one behind the curtain, which is 1/2 since Alice and Bob are equally likely to be chosen. P(3) is the probability that the number written down is 3. This can happen in two ways: Bob gets 3 heads on his first three flips, or Alice gets 3 heads in her 8 flips.

The probability of the first case is (1/2)³ × 1/2 = 1/16. The probability of the second case is more complicated, but we can use the binomial distribution to find it: P(X=3) = (8 choose 3) × (1/2)⁸ = 28/256 = 7/64. So, the probability of the number being 3 is 1/16 + 7/64 = 11/64.Now we can substitute these values into Bayes' Theorem: P(Bob|3) = P(3|Bob) × P(Bob) / P(3) = (1/8) × (1/2) / (11/64) = 8/11 ≈ 0.73

Therefore, the probability that Bob is behind the curtain, given that the number is 3, is approximately 0.73 or 73%.

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Answer:

Given a triangle ABC, Pythagoras' Theorem shows that:

\(c^2=a^2+b^2\)

Thus,

\(c = \sqrt{a^2+b^2}\)

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.

\(d^2 = (x_{2} -x_{1})^2 + (y_{2} -y_{1})^2\)

\(d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2 }\)

Therefore when given the hypotenuse with endpoints at

\((x_{1}, y_{1}) and {(x_{2}, y_{2})\)

We know that the third point of the right triangle will be at

\((x_{2}, y_{1})\)

and that the two side lengths will be defined by the absolute values of:

\((x_{2} - x_{1}) = a\)

\((y_{2} - y_{1}) = b\)

Answer:

Below<3

Step-by-step explanation:

Type a : 55 75

Type b:48 22

=  P(Male | Type B)> P(Male or Type B)

No, the probability be found by using the binomial probability formula with x counting the number who are left-handed. The correct option is (c) No, because the 100 adults were selected without replacement, the selections are dependent.

The binomial distribution assumes that the trials are independent, meaning that the outcome of one trial does not affect the outcome of any other trial. However, in this case, the 100 adults were selected without replacement, which means that the outcome of one selection affects the probability of the next selection. Therefore, the trials are dependent, and the binomial probability formula cannot be used.

Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults in a sample of 100 adults selected without replacement from the U.S. population. The hypergeometric distribution takes into account the fact that the selections are dependent and is appropriate for this type of problem.

Therefore, the correct option is (c) No, because the 100 adults were selected without replacement, the selections are dependent.

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no answer bcz w bff fgfthsrgffd

Answer:

∅=45°

Step-by-step explanation:

\(2sin\)∅=\(\sqrt{2}\)

\(sin\)∅=\(\frac{\sqrt{2} }{2}\)

∅=\(sin^{-1} (\frac{\sqrt{2} }{2} )\)

∅=45°

I hope this help you

The situation given that can be represented by a graph with a y-intercept of -8 is A. Hal bought $8 worth of supplies, then sold x buttons for $3 each. His profit is y dollars.

The y-intercept is a figure in the linear equation that shows the original number of units before the value of x either started to increase or to decrease and therefore cause a change in x.

The situation where Hal bought $8 worth of supplies would be represented by the y-intercept of -8 because the $8 that Hal bought represents his total profit before he sells anything. That total profit is -8 because Hal has spent -$8 but has not sold anything.

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The required P-value is 0.0014. The given statement "The P-value calculated for testing H0 : µ ≥ 5.4 versus H1 : µ < 5.4 is a small probability; hence, it is plausible that the mean number of sick days is at least 5.4" is false because a small P-value indicates that the null hypothesis (H0) is less likely to be true.

a. To find the P-value for testing H0: μ ≥ 5.4 versus H1: μ < 5.4, first calculate the test statistic:

Test statistic (z) = (Sample mean - Population mean) / (Standard deviation / √(Sample size))
z = (4.4 - 5.4) / (2.8 / √(80))
z ≈ -3.19

Now, use the z-table or a calculator to find the P-value corresponding to the test statistic:
P-value ≈ 0.0014 (rounded to four decimal places)

b. The statement "The P-value calculated for testing H0 : µ ≥ 5.4 versus H1 : µ < 5.4 is a small probability; hence, it is plausible that the mean number of sick days is at least 5.4" is FALSE.

A small P-value indicates that the null hypothesis (H0) is less likely to be true and we have evidence to support the alternative hypothesis (H1) that the mean number of sick days is less than 5.4.

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The required P-value is 0.0014. The given statement "The P-value calculated for testing H0 : µ ≥ 5.4 versus H1 : µ < 5.4 is a small probability; hence, it is plausible that the mean number of sick days is at least 5.4" is false because a small P-value indicates that the null hypothesis (H0) is less likely to be true.

a. To find the P-value for testing H0: μ ≥ 5.4 versus H1: μ < 5.4, first calculate the test statistic:

Test statistic (z) = (Sample mean - Population mean) / (Standard deviation / √(Sample size))
z = (4.4 - 5.4) / (2.8 / √(80))
z ≈ -3.19

Now, use the z-table or a calculator to find the P-value corresponding to the test statistic:
P-value ≈ 0.0014 (rounded to four decimal places)

b. The statement "The P-value calculated for testing H0 : µ ≥ 5.4 versus H1 : µ < 5.4 is a small probability; hence, it is plausible that the mean number of sick days is at least 5.4" is FALSE.

A small P-value indicates that the null hypothesis (H0) is less likely to be true and we have evidence to support the alternative hypothesis (H1) that the mean number of sick days is less than 5.4.

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The only option that satisfies the equation and the condition is (d) 5.

What is an equation?

An equation is a mathematical statement that shows that two expressions are equal.

We have the equation a/b + b/a = 6. Multiplying both sides by ab, we get:

a² + b² = 6ab

Now, let's consider the expression a/b - b/a:

a/b - b/a = (a² - b²)/(ab)

We can substitute 6ab for a² + b²:

a/b - b/a = [(a² + b²) - 2b²]/(ab)

a/b - b/a = [(6ab) - 2b²]/(ab)

a/b - b/a = 4 - (2b/a)

We know that a/b + b/a = 6, so a/b = 6 - b/a. Substituting this in the expression above:

a/b - b/a = 4 - 2(6 - b/a)

a/b - b/a = 2b/a - 8

a/b - b/a = 2(b/a - 4)

Therefore, the value of a/b - b/a is always twice the difference between b/a and 4. We can quickly see that the only option that satisfies this is (d) 5, since if b/a = 2, then a/b = 12 and a/b + b/a = 14. If b/a = 3, then a/b = 18 and a/b + b/a = 21. If b/a = 4, then a/b = 24 and a/b + b/a = 28. If b/a is any larger than 4, then a/b + b/a is larger than 6.

Therefore, the only option that satisfies the equation and the condition is (d) 5.

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Answer: 11

Step-by-step explanation:

Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.

I hope this helps

Answer:

the 3rd raikages will

Step-by-step explanation:

Answer:

Go to desmos graphing calc

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-14 or -2

Step-by-step explanation:

-8+-6= -14

-8+6 = -2

Answer:

2,735 yes votes

Step-by-step explanation:

First we have too determine the ratio of yes votes to the total number of votes.

We can rationalize thus

If there are 5 yes votes and 4 no votes, the total number of votes = 5+ 4 = 9

So 5/9th of the total votes are yes votes

If the total number of votes = 4923 , number of yes votes = 5/9 x 4923

= 2,735 yes votes       ANSWER

We can check to see if our reasoning is correct:

Total number of no votes = 4923 - 2735 = 2188

Yes votes to Nay votes = 2735 : 2188

As a fraction:
2735 / 2188 = 1.25

1.25 = 1 1/4 = 5/4 which is the ratio of yes to no votes and tallies with the question data

The steady state distribution of a Markov chain represents the long-term probabilities of being in each state of the system. To find the steady state distribution, we need to solve a system of equations based on the transition probabilities.

1. Define the transition matrix: Create a matrix P where each element P[i][j] represents the transition probability from state i to state j. In this case, the matrix P would be a 2x2 matrix with the given transition probabilities.

2. Set up the equation: Let π = [π₁, π₂] represent the steady state distribution, where π[i] is the probability of being in state i. We want to find the values of π₁ and π₂.

3. Write the balance equation: The steady state distribution satisfies the equation πP = π, where πP represents the matrix multiplication of π and P. This equation states that the steady state distribution multiplied by the transition probabilities should be equal to the steady state distribution itself.

4. Solve the equation: Set up the system of equations based on the balance equation. In this case, we have two equations: π₁P[1][1] + π₂P[2][1] = π₁ and π₁P[1][2] + π₂P[2][2] = π₂. Substitute the values of the transition probabilities from the given data.

5. Solve the system of equations: Solve the system of equations to find the values of π₁ and π₂. This can be done using various methods, such as matrix inversion or Gaussian elimination.

6. Normalize the solution: Once you have the values of π₁ and π₂, normalize them to ensure that they sum up to 1. Divide each value by the sum of the two values.

7. The resulting values of π₁ and π₂ represent the steady state distribution associated with the Markov chain.

Please note that without the specific transition probabilities provided in the question, I cannot provide the exact steady state distribution.

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