Which of the following statement(s) is always true?
a
b + c
= 2 + ²
a² + b² = (a + b)²
49 - x² = 7 - x
I.
II.
III.
IV.
a² + b
a(b + c)
a+b
b + c
O III only
O III and IV only
O I and II only
O I, II, and IV only
O All the above statements are false.

Answer:

He bought 9 books.

Step-by-step explanation:

If $18 can by 3 books to find how much one book costs we divide 18 by 3 and get six.

54÷6=9

I hope this helps you :)

Answer:

gain percentage is 100 % the both percentage sums up to be 100%

Step-by-step explanation:

90+110=200/2

=100

The vertex of the equation is (1, -1).

The equation of a parabola in vertex form is,

y = a(x-h)² + k

The coordinates of the vertex are (h,k) respectively and a is a constant.

Given:

y =  x² - 2x

Rearrange the given equation in the form of the equation of the parabola in vertex form using the method of completing the square.

y = (x² - 2x + 1) - 1

y = (x - 1)² - 1

Therefore, the vertex of the equation is (1, -1).

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Answer:

f=1

Step-by-step explanation:

first you add 2+3 then you multiply by 8 and you get 40. to get f by itself you subtract the 24 from the left side to be left with 16f=16. You then divide and get f=1

Answer:

to my beliefs it is 18. I THINKKKKK I LIKE ALELI THINKS ITS 18

y = mx +c

Substitute the values,

-4 = -1(2) + c

c = -2

Thus, the equation is y= -x -2

The probability that both marbles are of the same color is 31/66

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

5 red and 7 green marbles.

We have to calculate the probability of two marbles being drawn consecutively without replacing them.

The first is that if we define events R to be two red marbles, and G to be two green marbles, then we can verify that:

P(R) = (5/12)(4/11)

P(G) = (7/12)(6/11)

Then, P(R ∪ G) = P(R) + P(G)

                        = (5/12)(4/11) +  (7/12)(6/11)

                        = 5/33 + 7/22

                        =  31/66

Hence, the probability that both marbles are of the same color is 31/66

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Answer: -3/4

Step-by-step explanation: I'M SMART

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The linear term in the given function is :

\(\mathrm{✌TeeNForeveR✌}\)

Answer:

The linear term is \(\sf5x\)

Hope it helps you!

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Answer:

Step-by-step explanation:

I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7

PS = 3.7

Answer:

it is 6.9

Step-by-step explanation:

i took the test

The point (-4, 2) be located in second quadrant. Due to the fact that x is negative and y is positive.

The coordinate system's two axes, the x-axis and the y-axis, define a region is called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle.

These areas include coordinates, or positive and negative values of the x- and y-axes. The position of a point in a quadrant is indicated by the coordinates.

The first quadrant is located in the graph's upper right-hand corner. Both the x and y values in this quadrant are positive.

The second quadrant is located in the graph's upper left corner. The value of y is positive in this quadrant while the value of x is negative.

The third quadrant is located in the graph's lower left-hand corner. It includes both the negative values of x and y.

Fourth Quadrant, the final quadrant has a positive x value and a negative y value, and it is located in the lower right corner.

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The complete question is:

What quadrant will the point (-4, 2) be located in?

Answer:

-2

Step-by-step explanation:

susitute for x and solve

The correct answer is option (d). Discrimination against foreign firms.

The liability of foreignness refers to the challenges and disadvantages that foreign firms face when operating in a new country or market. These challenges can manifest in a variety of ways, including cultural differences, legal and regulatory barriers, and discrimination against foreign firms.

Discrimination against foreign firms is a common way that the liability of foreignness manifests. This can include discriminatory policies or practices that make it difficult for foreign firms to compete with domestic firms. For example, a government may impose higher taxes or tariffs on foreign firms, or require foreign firms to meet stricter regulatory requirements than domestic firms. Discrimination can also come in the form of cultural bias or prejudice against foreign firms, which may make it difficult for them to establish relationships with local customers and partners.

In contrast, the other answer choices are not ways that the liability of foreignness manifests. Reduction of language barriers and similarities of formal and informal institutions may actually reduce the liability of foreignness, while adoption of VIRO (Valuable, Rare, Inimitable, and Organized) is a framework for analyzing a firm's competitive advantage and is not directly related to the liability of foreignness.

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Answer:

only 2 kid's could go since the price of both is 95 for one and times it by two it's 190

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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The given data (2, 2, 3, 3, 4, 4, 5, 5, 6, 6) has no mode.

A mode is defined as the value that has the highest frequency in a given set of values. It is the value that appears the most number of times.

In statistics, the value that consistently appears in a particular collection is referred to as the mode. The mode or modal value in a data collection is sometimes referred to as the value or number that occurs most frequently in the data set. In addition, to mean and median, it is one of the three measures of central tendency.

The mode is the value that occurs the most often in a given set of data.

Given data:  2, 2, 3, 3, 4, 4, 5, 5, 6, 6.

In the given observations, data is repeated an equal number of times.  

So, the given data has no mode.

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Answer:

(x, y) ⇒ (x + 5, y - 4)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, down, left or right. If a point A(x, y) is translated a units right and b units up, the new location of the point is at A'(x + a, y + b) while if a point A(x, y) is translated a units left and b units down, the new location of the point is at A'(x - a, y - b).

Since Quadrilateral MNOP was translated 5 units to the right and 4 units down to create quadrilateral M′N′O′P′, the rule that was applied was:

(x, y) ⇒ (x + 5, y - 4)

The difference in the number of miles ran by Kiki during practice is 186 miles.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Given that Kiki runs 437 miles during the first week of track practice and she runs 623 miles during the second week of track practice.

The difference in miles will be:

= 623 - 437

= 186 miles.

Therefore, the miles difference is 186 miles.

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Complete question

Kiki runs 437 miles during the first week of track practice. She runs 623 miles during the second week of track practice. What is the difference in the number of miles?

Step-by-step explanation:

For the second triangle, you can find X by subtracting 32+85 from 180, which leaves X as 63.

Next, since Y is the same as X, it means that Z is equal to 180-(45+63)

X=63

Y=63

Z=72

Answer:

The answer is 5 paintings

Step-by-step explanation:

112 = 27 + 17x  

112 - 27 = 85

85/17 = 5

5 paintings

Hopefully this helps you

pls mark brainlest

Answer:

5

Step-by-step explanation:

17x=112-27; 17x=85; x=85÷17; x=5

To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

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The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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Answer:

Step-by-step explanation:

Think of it as if he paid for each ticket with one $20 bill.

He gets $3 change from each one so his total change is $(

The depreciation expense for 2014 is $15,750.

Given,The cost of the truck = $93,600 The salvage value of the truck = $3,600The useful life of the truck = 120,000 milesThe total miles driven in 2014 = 21,000 miles

Therefore, the remaining miles are = 120,000 - 21,000 = 99,000 miles Let's calculate the depreciation expense for 2014 using the straight-line method.

Depreciation expense per mile = (Cost of the truck - Salvage value) / Useful life

Depreciation expense per mile = ($93,600 - $3,600) / 120,000= $90,000 / 120,000= $0.75 per mile

Depreciation expense for 2014 = Depreciation expense per mile × Total miles driven in 2014= $0.75 × 21,000

= $15,750

Thus, the depreciation expense for 2014 is $15,750.

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The slope of the required line is -2 and the y-intercept of the required line is -10, giving the equation of the required line as \(y = -2x - 10.\)

Given the equation of the line: r - 2y = 5.Since the equation is not given in the form y = mx + b, we have to convert it to that form. Therefore, r - 2y = 5⇒ r = 2y + 5.Dividing both sides of the equation by 2, we get, y = (1/2)r - 5/2Comparing the given equation with y = mx + b, we get m = 1/2, b = -5/2.

Now, the given line is: y = (1/2)r - 5/2Since we need to find the equation of the line that is perpendicular to the given line, we need to find the slope of the line that is perpendicular to the given line. The slope of the given line is m = 1/2. The slope of the line that is perpendicular to this line is the negative reciprocal of 1/2.

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If you have access to the information on the back of Ken's bank statement, you can calculate his revised statement balance by adding any credits and subtracting any debits from the previous statement balance.

Reconciling a bank account involves comparing the transactions in your own financial records with those listed on your bank statement. The goal is to ensure that the account balance in your financial records matches the balance reported by the bank.

To reconcile a bank account, you typically start with the ending balance on the previous bank statement, which becomes the beginning balance on the current statement. You then compare this balance with the transactions listed on the current statement, adding any credits (such as deposits or interest payments) and subtracting any debits (such as withdrawals or fees).

The resulting balance should match the ending balance listed on the current bank statement. If it does not match, then there may be errors or discrepancies in the account that need to be investigated. This can involve reviewing bank records, receipts, and other financial documents to identify any errors or missing transactions.

Reconciling your bank account on a regular basis is important for ensuring the accuracy of your financial records and identifying any issues or errors in a timely manner. It can also help you identify areas where you may be overspending or where you can save money by reducing fees or optimizing your financial habits.

Whether or not Ken's account reconciles depends on whether the calculated revised statement balance matches the bank's reported statement balance. If they match, then the account is reconciled. If they do not match, then there may be discrepancies in the account that need to be investigated and resolved.

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~Denki Kaminari here~

Answer:

6

Step-by-step explanation:

because x is equal to 1, and y is equal to 2, all we need to do is skip count 3 times by 2 and you get your answer: 6!

hope this helps :D

Answer:

6

Step-by-step explanation:

Given that x = y so that means if y and x are same and have same values. Therefore if y = 2 then x = 2.

So substitute x = 2 in 3x:

3(2) = 6

Therefore, the solution is 6

Answer:

250

Step-by-step explanation:

We can approximate that the scientists counted \(\frac{18}{30}=\frac{3}{5}\) of the elk.

So, the best estimate of the elk population is \(150(5/3)=250\).

Answer:1,250

Step-by-step explanation:

Answer:

<U=70

Step-by-step explanation:

Straight line=180 degrees

180-120

=60

So, we have 2 angles.

60 and 50

180=60+50+x

180=110+x

70=x

So, U=70

Hope this helps! :)