Express each number as a single-digit integer times a power of 10.
24,755,183,009,522

To graph the algebraic rule y = 3x - 11, we need to consider input values ​​from -5 to 5 and also choose appropriate scaling for the x and y axes.

A common way to choose a scale is to use 1 or 2 increments on the x and y axes. This makes it easy to draw points and read charts easily.

The x-axis goes from -5 to 5, so you can scale from -5 -4 -3 -2 -1 0 1 2 3 4 5.

For the y-axis, I need to find the minimum and maximum values ​​of y given the input x values.

Substituting the x value into the formula y = 3x - 11 gives the y value.

y = 3(-5) - 11 = -16

y = 3(5) - 11 = 14

So for the y axis you can take -20 -15 -10 -5 0 5 10 15 20

So a good scale for the x-axis is -5 to 5 in increments of 1, and -20 to 20 in increments of 5 for the y-axis. Graphing the equation y = 3x - 11 using these scales makes the graph easier to read and understand.

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Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

\(a_{n}\) = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

From the given Bayesian network, we can verify the conditional independence relationships using the Markov random field (MRF) graph as follows:

The conditional independence relationship where b is (marginally) independent of e can be verified from the MRF graph. In the MRF graph, if there is no direct edge between nodes b and e, it implies that b and e are conditionally independent. This is because in an MRF, the absence of an edge between two nodes indicates conditional independence.

The conditional independence relationship where b is independent of e given f can also be verified from the MRF graph. If, in the MRF graph, there is a path from b to e that does not go through f, it implies that b and e are independent given f. This is because in an MRF, the existence of a path that does not go through a specific node signifies conditional independence between the nodes at the endpoints of the path.

However, the conditional independence relationship where b is independent of e given (h, k, and f) cannot be directly verified from the MRF graph. The MRF graph does not provide specific information about the relationship between b and e when conditioned on multiple variables like (h, k, and f). To determine this conditional independence relationship, additional information or specific conditional probability distributions would be required.

In summary, the conditional independence relationships involving b and e, such as b being (marginally) independent of e and b being independent of e given f, can be verified from the Markov random field graph. However, the conditional independence relationship involving b being independent of e given (h, k, and f) cannot be directly verified from the MRF graph without additional information.

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Answer:

784ft

Step-by-step explanation:

4 rectangles 4 sides each

(94*2)+(4*2) would make up one rectangle so you multiply by 4

(94*8)+(4*8)

94*8=752ft

4*8=32ft

752+32=784ft

The equation for the plane through P0(8,1,−4) perpendicular to the following line is x + 4y + 5z - 8 = 0

The slope of the perpendicular line should be a/b, and if one line is perpendicular to this line, the product of slopes should be -1. The equation of a line perpendicular to a given line ax + by + c = 0 is bx - ay + = 0, where is a constant.

The given parameters are

x=8−t​, y=1−2t​, z=3t​,

P0(- 9, 6, - 5).

Direction vector of line is < -1, 4, 5>,

This vector is normal vector for unknown plane.

So, equation of plane: -1(x - (-9)) + 4(y - 6) + 5(z - (-5)) = 0; - x - 9 + 4y - 24 + 5z + 25 = 0;

In conclusion the equation is given as  -x + 4y + 5z - 8 = 0

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Answer:

There are 1000 grams in 1 kilogram.

Explanation:

Recall that;

Therefore, there are 1000 grams in 1 kilogram.

Note:

Answer:

This is the answer i guess.

Given:

The expression is:

\(13-\dfrac{5}{y}\)

To find:

The description that matches the given expression.

Solution:

We have,

\(13-\dfrac{5}{y}\)

Here, \(\dfrac{5}{y}\) is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.

So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".

Therefore, the correct option is C.

Answer:

the difference of thirteen and the quotient of five and a number

Step-by-step explanation:

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

$14.20

Step-by-step explanation:

First we add both the meal ($55.25) and the dessert ($15.75) to calculate the total cost which would be $77.00 Assuming the bill was evenly split among the five people, we would divide the total cost ($77.00) by all 5 people which gives us 14.20 so each person would have to pay $14.20.

hope this helps!

Answer:

Well, I'm not the smartest person, nor do I exactly know what you mean, but I have a wild guess that the least you could rotate it is 100 degrees.

Step-by-step explanation:

Considering the fact that it's sides are all equal, you could compare this to a square, which also has equal sides. Its angles are equal, too, so you could measure it's angles (100 degrees) and turn it that exact amount,

I hope this helps you, like I said, I don't exactly know what you are talking about, I am not studying that sort of thing yet.

The simplified expression is equivalent to

3{c² + c + 1}.

Given is the expression as -

{c + 4c² - 2 + 2c - c² + 5}

The given expression is -

c + 4c² - 2 + 2c - c² + 5

{c + 2c} + {4c² - c²} + {- 2 + 5}

3c + 3c² + 3

3c² + 3c + 3

3{c² + c + 1}

Therefore, the simplified expression is equivalent to

3{c² + c + 1}.

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Answer:

\( - x - 3\)

Step-by-step explanation:

1) regroup term.

\( - \frac{1}{2} (8x - 4) + 3x - 5\)

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

\( - \frac{8x - 4}{2} + 3x - 5\)

3) Factor out the common term 4.

\( - \frac{4(2x - 1)}{2} + 3x - 5\)

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

\( - 2(2x - 1) + 3x - 5\)

5) Expand by distributing terms.

\( - (4x - 2) + 3x - 5\)

6) Remove parentheses.

\( - 4x + 2 + 3x - 5\)

6) Collect like terms.

\(( - 4x + 3x) + (2 - 5)\)

8) Simplify.

\( - x - 3\)

Therefor, the answer is -x - 3.

If  the actual amount is 67 marbles.  the percent error is 37%.

Using this formula to find the percent error

Percent error =   Actual value -Estimated value/ Estimated value

Where:

Actual value = 67

Estimated value = 42

Let plug in the formula

Percent error = 67 - 42 /67

Percent error = 25/67 × 100

Percent error = 37%

Therefore the percent error is 37%.

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The correct answer is A. no; since np<5, the normal distribution should not be used.  This is because np<5, which violates the condition for using the normal distribution approximation to the binomial distribution. In this case, np=15 which is less than 5, and therefore, the binomial distribution should be used. If np is greater than or equal to 5, a normal approximation to the binomial distribution can be used.

The binomial distribution can be used to model the probability of a certain number of successes in a fixed number of independent trials, where the probability of success in each trial is the same. However, if the number of trials is large and the probability of success is small, the binomial distribution can be approximated by a normal distribution.

In this case, we have

n = 100 trials and p = 0.15

probability of success in each trial.

Therefore, np = 15, which is less than 5. According to the rule of thumb, if np < 5 or n(1-p) < 5, the normal distribution approximation is not valid, and the binomial distribution should be used.

Since the probability of success is small (0.15), and the number of trials is relatively large (100), we could use a normal approximation to the binomial distribution. However, since np < 5, we cannot use the binomial probability formula directly. Instead, we would need to use a continuity correction and the standard normal distribution to estimate the probability. Therefore, option A is the correct answer.

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Answer:

Step-by-step explanation:

x            y

1            2

2           4

3           9

4           16

This sounds like a quadratic equation of f(x)=x^2, thus, the range is:

Answer:

y+5=2⋅(x+2)

Step-by-step explanation:

The peak in a normal curve appears directly above the mean, which is the average value of the data set. The normal curve, also known as the Gaussian distribution, is a symmetrical bell-shaped curve that represents the distribution of data in a population.

The mean is the point of highest probability in the distribution, and as such, the peak of the curve appears directly above it. The normal curve is commonly used in statistical analysis, as it allows for the calculation of probabilities and the identification of outliers within a data set. Understanding the location of the peak in relation to the mean is key to interpreting and utilizing the information provided by a normal curve.

The peak in a normal curve appears directly above the mean. In a normal distribution, the mean, median, and mode are all equal and are located at the center of the curve. This is the highest point on the curve, representing the most frequent value in the data set. The normal curve is symmetric, with the tails extending indefinitely in both directions. As you move away from the mean, the frequency of values decreases, following the bell-shaped curve pattern. In summary, the peak in a normal curve represents the central tendency of the data, appearing directly above the mean value.

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I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculating the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 month * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculating the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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the expression is

so the correct answer is d = -16

Reason:

-2 * 2 = -4

-2 + 2 = 0

These values are found through trial and error. The order of -2 and 2 doesn't matter.

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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Answer:

45

Step-by-step explanation:

by the definition of an isocoles triangle, defined by having two congruent sides,  (p-s, r-s), angles SPR and SRP are congruent. by the triangle sum theorem, (internal angles + to 180˚) 90˚ + 2a = 180˚. 2a =90, a = 45

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(y = 7x - 3\leftarrow \text{No.}\\\\y = 150x \leftarrow \text{Yes.}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{General Proportional Formula:}}\\\\y = kx\\\rule{150}{0.5}\\$\bullet \text{ } k - \text{Constant of Proportionality}\\\rule{150}{0.5}\\\text{Since } y=150x \text{ is in this form, we can say that it is a proportional relationship.}\\\rule{150}{0.5}\\\text{We can also tell if something is proportional by graphing them.}\)

\(\textbf{Proportional graphs go through the origin.}\)

⸻⸻⸻⸻

Since y = 7x - 3 does not pass the origin, it is not proportional. However, y = 150x does, so it is proportional.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

7

Step-by-step explanation:

7 x 4 = 28

28 + 12 = 40

The weight of an object above the surface of the Earth varies inversely with the square of the distance from the center of the Earth.

Given that the weight of an object is 90 pounds when it is 3960 miles from Earth's center, we can use this information to find the weight of the same object when it is 4120 miles from Earth's center.

Let's denote the weight of the object as W and the distance from the center of Earth as D. According to the given information, we have the following relationship:

W ∝ 1/\(D^2\)

Using this relationship, we can set up a proportion to find the weight of the object when it is 4120 miles from Earth's center:

90 pounds / \((3960 miles)^2\) = W / \((4120 miles)^2\)

Simplifying the equation, we have:

90 / (\(3960^2\)) = W / (\(4120^2\))

To find W, we can rearrange the equation and solve for it:

W = 90 * (\(4120^2\)) / (\(3960^2\))

Calculating this expression, we find that the weight of the object when it is 4120 miles from Earth's center is approximately 94.29 pounds.

Therefore, the same object would weigh approximately 94.29 pounds when it is 4120 miles from Earth's center.

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Based on the explanation using the combination method, the correct answer to the question is D. All four users have non-expiring passwords.

The MBSA scan likely provided a list of users along with their corresponding password expiration settings. The term "non-expiring passwords" refers to passwords that do not have an expiration date, meaning they remain valid indefinitely.

Now, let's analyze each option given in the question and determine the correct answer using the combination method:

A. 3 of 4:

If three out of the four users have non-expiring passwords, it means that only one user has an expiring password. However, this does not match our definition of non-expiring passwords. Therefore, Option A is incorrect.

B. 1 of 4:

If only one user out of the four has a non-expiring password, it means that the other three users have expiring passwords. This option does not satisfy the condition of non-expiring passwords for the majority of users. Hence, Option B is also incorrect.

C. 2 of 4:

If two users out of the four have non-expiring passwords, it means that the remaining two users have expiring passwords. This option suggests that half of the users have non-expiring passwords, which does not correspond to our definition of non-expiring passwords for the majority of users. Thus, Option C is incorrect.

D. 4 of 4:

If all four users have non-expiring passwords, it means that every user's password is set to never expire. This option aligns with our definition of non-expiring passwords for the majority of users. Therefore, Option D is the correct answer.

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Complete Question:

From the MBSA scan performed in Task 3, how many users have non-expiring passwords?

A. 3 of 4

B. 1 of 4

C. 2 of 4

D. 4 of 4

Answer:

4.5in=11.43cm

Step-by-step explanation:

4.5*2.54=11.43

Answer:

You multiply

Step-by-step explanation:

You multiply the length value by 2.54 to get 11.43 cm

The 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

The following formula is used to calculate a confidence interval for the proportion of all American adults who support same-sex marriage

KI = p ± z*(√(p*(1-p)/n))

where:

p = percentage of respondents who support same-sex marriage

n = sample size (total number of respondents)

z = z-score for the desired confidence level

substitute all the values in the above formula,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/n))

To compute confidence intervals, we need to know the sample size (n). the sample size is large, so we can use the normal distribution.

the random sample size of 1000 is taken as no sample size is specified.

For n = 1000,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/1000))

= 0.517 ± 0.032

Therefore, the 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

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Answer:  x = (log(y) /(400 log1.0065) or x = log(initial cost)/1.126

Step-by-step explanation:  Take the log of both sides of your equation:

log(y) = log(400)(1.0065)^x

log (y) = log 400 + log(1.0065)^x

Subtract log(400) from both sides:

log(y) - log 400 = xlog(1.0065)

Divide both sides by log(1.0065)

[log(y) - log(400)]/log(1.0065) = x

Now, if you want to know how many years it will take for the guitar to be worth $200, replace y with 200 and solve.