Select the correct answer. The product of two integers is 72. One number is two less than five times the other. Which of the following equations could be used to find one of the numbers? A. 2x2 − 5x = 72 B. 5x2 − 2x = 72 C. 2x2 − 5 = 72 D. 5x2 − 2 = 72

Answer: R: {f(x) ∈ ℝ | f(x) ≥ 4}

Step-by-step explanation:

\(|x-3| \geq 0\) for all real x, so the range is \(f(x) \geq 4\).

The auditing software can identify 63.7% of misreporting issues in accounting ledgers. The probability that no misreported transactions are found is 1 - 63.7% = 36.3%. The probability that at least half of the transactions are misreported is 1 - P(X  25) = 1 - P(X  24) P(X  24) = _(i=0)24 (50C_i) (0.363)i (1 - 0.363)(50 - i)  0.0001. The expected monetary gain is approximately -$49.8.

Given that an auditing software can identify 63.7% of misreporting issues in accounting ledgers. Let X be the number of accounting misreporting transactions identified by the software among 50 randomly selected transactions for the last 3 months.Probability that no misreported transactions are found:X follows a binomial distribution with n = 50 and p = 1 - 63.7% = 36.3%.P(X = 0) = (1 - p)^n = (1 - 0.637)^50 ≈ 0.0002Probability that less than 10 misreported transactions are found:

P(X < 10) = P(X ≤ 9)P(X ≤ 9)

= P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)P(X ≤ 9)

= ∑_(i=0)^9 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.99

Probability that at least half of the transactions are misreported:

P(X ≥ 25)P(X ≥ 25)

= P(X > 24)P(X > 24)

= 1 - P(X ≤ 24)P(X ≤ 24)

= ∑_(i=0)^24 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.0001

Expected monetary gain:Let Y be the amount of money that the firm gets to earn or pay. The probability distribution of Y can be shown below:Outcomes: $200, -$50, -$100

Probabilities: P(X = 0), P(0 < X < 10), P(X ≥ 25)P(X = 0)

= 0.0002P(0 < X < 10)

= 0.99 - 0.0002 = 0.9898P(X ≥ 25)

= 0.0001E(Y)

= ($200 x P(X = 0)) + (-$50 x P(0 < X < 10)) + (-$100 x P(X ≥ 25))E(Y)

= ($200 x 0.0002) + (-$50 x 0.9898) + (-$100 x 0.0001)≈ -$49.8

Therefore, the expected monetary gain is approximately -$49.8.

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∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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Answer:

I'm not 100%, but d is my answer because in conic sections you're on the negative side and it's the only answer with a negative integer

The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

Given that,

Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.

We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?

We know that,

n = 2343

Point estimate = sample proportion = \(\hat p\) = 0.530

1 - \(\hat p\) = 1 -0.530 = 0.470

At 99% confidence level

α = 1-0.99% =1-0.99 =0.01

α /2 =0.01/ 2= 0.005

Z(α /2) = Z0.005 = 2.576

Z (α/2) = 2.576 = 2.58

Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)

=2.576 × (√(0.530×(0.470) /2343 )

= 0.027

A 99% confidence interval for population proportion p is ,

\(\hat p\)- E < p < \(\hat p\) + E

0.530 -0.027 < p < 0.530 +0.027

0.503 < p < 0.556

( 0.503, 0.556 )

Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

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Answer:

44 points

Step-by-step explanation:

I hope the answer is correct

To find the consumer surplus at the equilibrium point (1600, 80), we need to integrate the demand function from 0 to 1600 and subtract it from the equilibrium price of $80.

Consumer surplus = ∫[0,1600] D(x) dx - (equilibrium price)

First, let's find the demand function:

D(x) = 3200/√x

Now, we can integrate the demand function from 0 to 1600:

∫[0,1600] D(x) dx = ∫[0,1600] 3200/√x dx = 2(3200)√x ∣∣∣0 to 1600

= 2(3200)√1600 - 2(3200)√0

= 2(3200)(40) - 0

= 256000

So, the consumer surplus at the equilibrium point is:

Consumer surplus = 256000 - 80 = $255920

Therefore, the consumer surplus at the equilibrium point is $255920.

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Answer:

False

Step-by-step explanation:

Beacuse the equation is 4+2>5 with equals 7

Answer:

x = 4 ...In the equation, substitute 4

4 + 2 > 5

6 > 5

(This sign > means greater than)

(This sign < means less than)

In this case of the equation, 6 > 5, it's True

Average speed for the whole journey = 53.67 miles per hour.

What is Speed?

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.

The Average speed:-

"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".

= total distance/total time

According  to the Question

We have;

-------> ALEX drove for 3 hours at a rate of 60 miles per hour.

-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.

We know that;

speed = distance/ time

Now we can write it as;

distance = speed *time

Consider the first statement of the Question;

-------> John drove for 3 hours at a rate of 60 miles per hour.

Here, speed = 60 miles per hour.

Time = 3 hours.

Putting in the above then we get;

distance = 60*3

distance =180

Consider the second statement of the Question;

-------> John drove for 2 hours at a rate of 45 miles per hour.

Here, speed = 45 miles per hour.

Time = 2 hours.

Putting in the above then we get;

distance = 45*2

distance =90

-----> Now find the Average speed of John.

We have;

The distance in the first part;

miles. at time 3 hours.

The distance in the second part;

miles. at time 2 hours.

We have;

The average speed = 53.67 miles per hour

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Step-by-step explanation:

f(x)= 2x + 9

               Cost per car

Change 9 to 6.

f(x) = 2x + 6

Because 9 was the y-intercept and it was changed to 6, or 3 units down, the function would be be translated 3 units down

Hope this makes sense!!!!

Answer:

f= 42.75

Step-by-step explanation:

just smart

Answer:

c your welcome

Step-by-step explanation:

i have done this connexus

Therefore, the saddle point is approximately (-0.2852, 0.9953), and the local minimum is approximately (0.9649, 2.0047).

To find the saddle point and local minimum of the function\(f(x) = x^3 + 7xy - 3y + y^2\), we need to calculate the partial derivatives with respect to x and y, and then find the critical points by setting these derivatives equal to zero.

The partial derivative with respect to x (f_x) is:

\(f_x = 3x^2 + 7y\)

The partial derivative with respect to y (f_y) is:

f_y = 7x - 3 + 2y

Setting f_x = 0 and f_y = 0, we can solve for the critical points:

From \(f_x = 3x^2 + 7y = 0:\)

\(3x^2 = -7y\\x^2 = -7/3 * y\)

From f_y = 7x - 3 + 2y = 0:

7x = 3 - 2y

x = (3 - 2y)/7

Substituting this value of x into\(x^2 = -7/3 * y\), we have:

\((3 - 2y)^2 / 49 = -7/3 * y\)

Expanding and simplifying the equation, we get:

\(9 - 12y + 4y^2 = -49y/3\)

Multiplying both sides by 3, we have:

\(27 - 36y + 12y^2 = -49y\)

Rearranging terms, we obtain:

\(12y^2 - 13y + 27 = 0\)

Solving this quadratic equation, we find two possible values for y: y ≈ 0.9953 and y ≈ 2.0047.

Substituting these values back into x = (3 - 2y)/7, we can determine the corresponding x-values.

For y ≈ 0.9953, x ≈ -0.2852.

For y ≈ 2.0047, x ≈ 0.9649.

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The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing.  The correct answer is: 30 unit tone.

In an auditory detection study using the method of constant stimuli, the threshold for hearing is typically defined as the stimulus intensity at which a participant detects the stimulus on a certain percentage of trials. In this case, Demetri's threshold for hearing tones would be determined based on the detection rates for different stimulus intensities.

Given the information provided:

- Demetri never detects the 10 unit tone.

- He detects the 20 unit tone 25% of the trials.

- He detects the 30 unit tone 50% of the trials.

- He detects the 40 unit tone 80% of the trials.

- He detects the 50 unit tone 95% of the trials.

Based on this data, we can observe that Demetri's detection performance improves as the stimulus intensity increases. The threshold for hearing is typically defined as the stimulus intensity at which the participant detects the stimulus on 50% of the trials. In this case, Demetri detects the 30 unit tone on 50% of the trials, indicating that it corresponds to his threshold for hearing.

Therefore, the correct answer is: 30 unit tone.

The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing. Stimulus intensities below 30 units (such as the 10 unit and 20 unit tones) fall below his threshold and are not detected reliably. On the other hand, stimulus intensities above 30 units (such as the 40 unit and 50 unit tones) are detected with higher percentages, indicating that they are clearly audible to him.

By determining the threshold for hearing, researchers can understand the sensitivity of an individual's auditory system and make comparisons across participants or study conditions. In this case, Demetri's threshold is identified as the 30 unit tone, indicating the minimum stimulus intensity he can reliably detect.

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The slope-intercept form of the equation is y = - mx + b.

The equation of a line can be expressed in a variety of ways. Although they may differ in appearance, all of them describe the same line because multiple equations can describe the same line. However, all linear equations describing the same line are equivalent.

The formula y = mx + b can be used to represent any straight line. Any straight line equation, known as a linear equation, can be expressed as y = mx + b, where m denotes the line's slope and b its y-intercept. The value of y at the line's intersection with the y-axis is its y-intercept.

Given a graph of the equation, choose two points on the line and use them to calculate the slope in order to put the equation in slope-intercept form. This is the answer to the equation's question. Next, determine the y-coordinates, intercept's which should be of the type (0,b). The value in the equation is the y-coordinate.

Thus, the equation derived from the graph is as follows:

Since we are aware that the slope here is negative,

Therefore Our formula is y = -mx + b.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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The entries of the table, denoted as T(i, j), represent the length of the longest nicely spaced subsequence ending at index i, with the difference between the last element and the element at index j.

The recurrence relation for the entries of the table can be defined as follows:

  T(i, j) = max(T(j, k) + 1), where 0 <= k < j and |S(i) - S(j)| <= 5.

  This means that we consider all previous elements (j) that have a difference of at most 5 with the current element (i), and we update the maximum length of the nicely spaced subsequence by adding 1 to the length of the subsequence ending at index j (T(j, k)).

  The base case is T(i, j) = 1, where there are no previous elements that satisfy the nicely spaced condition.

Pseudocode for the algorithm:

  Initialize an array T with length n, where n is the length of the input sequence S.

  Set all values in T to 1.

  Initialize a variable max_length to 1.

  for i = 1 to n:

      for j = 1 to i-1:

          if |S[i] - S[j]| <= 5:

              T[i] = max(T[i], T[j] + 1)

              max_length = max(max_length, T[i])

  Return max_length as the length of the longest nicely spaced subsequence of S.

The running time of this algorithm can be analyzed as follows:

  - The outer loop iterates through each element of the sequence, so it takes O(n) time.

  - The inner loop iterates through all previous elements for each element, so it takes a total of O(n^2) time in the worst case.

  - Therefore, the overall time complexity of the algorithm is O(n^2).

  Since we only use an array of size n (T) to store the lengths of subproblems, the space complexity is O(n).

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Based on the information, it can be inferred that this salesperson must make sales equivalent to $28,000 to obtain an equal profit with both options.

To find the amount of money that we must sell to have the same profit with both options we must carry out the following mathematical procedure.

1. We must calculate how much you would earn with option A in a week.

$28 * 40 = $1,120

2. We must make a rule of three to find a value of which 4% is equal to 1,120

Based on the above, the salesperson must sell $28,000 to make the same profit on both options in one week.

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Answer:

Step-by-step explanation:

might be 2 and 2/5. or 2.4. it might be wrong though.

Answer:

12/5

Step-by-step explanation:

What you divide by a fraction, it is the same as multiplying by its multiplicative inverse. For example, if you wanted to divide 2/3 by 7/6, that is the same as MULTIPLYING 2/3 by 6/7.

See how 7/6 changes into 6/7? We can use that principal here also.

4/5 DIVIDED by 1/3 =

4/5 MULTIPLIED by 3/1 =

4/5 MULTIPLIED by 3 =

12/5

Therfore, your answer is 12/5

I put a lot of thought and consideration into my answer, so I would really appreciate a brainliest! Thanks!

Answer:

Step-by-step explanation:

∠A + ∠B + ∠C = 180      {Angle sum property of triangle}

∠A + 65 + 55 = 180

       ∠A + 120 = 180

                ∠A = 180 - 120

               ∠A = 60

If two triangles are similar, then the corresponding angles of two triangles are congruent.

z = ∠A

z = 60

In ∆ ABC,

\(\angle\) A + \(\angle\) B + \(\angle\) C = 180° .... (Angle sum property of a triangle)

Here, we have:

Substituting values,

As we know that,

★ If two triangles are similar, then the corresponding sides of two triangles are congruent.

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

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the slope of the line above is -2

Answer:

Step-by-step explanation:

\((7n+7)(4n−4)\)

Apply the distributive property by multiplying each term of 7n+7 by each term of 4n−4.

\(28n 2 −28n+28n−28\)

Combine −28n and 28n to get 0.

\(28n 2 −28\)

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Using the sine function:

Answer: (6,7)

Step-by-step explanation:

Answer:

(7,6)

Step-by-step explanation:

look above as your axis x it's 7, and then down is axis y is 6.

given coordinates                           dilated coordinates

p' ( 4, 6 )                                               p'' ( 4, -6 )

Q' ( 2, 2 )                                              Q'' ( 2, -2 )

R' ( 6, 2 )                                               R'' ( 6, -2 )

S' ( 6, 6 )                                               S'' ( 6, -6 )  

Given data

p' ( 4, 6 )

Q' ( 2, 2 )

R' ( 6, 2 )

S' ( 6, 6 )

The given coordinates is gotten by ( x, y ) and the coordinates is gotten to be ( x, -y ). Applying the rule is solve as follows:

given coordinates                           dilated coordinates

( x, y )                                                     ( x, -y )

p' ( 4, 6 )                                               p'' ( 4, -6 )

Q' ( 2, 2 )                                              Q'' ( 2, -2 )

R' ( 6, 2 )                                               R'' ( 6, -2 )

S' ( 6, 6 )                                               S'' ( 6, -6 )  

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