The diagram shows the straight line which passess through
points (0,1) and (3, 13) Find the equation of a straight
line -

Answer:

I think its about 9? being as if you look a it its close to 12 but nowhere near it.

The following formula is used for conversion of amu to kg:

1 amu = 1.66054 x \(10^{-27}\)kg

The atomic mass unit (amu) is a unit of mass used in chemistry and physics to express the masses of atoms and molecules, whereas the kilogramme (kg) is the International System of Units' basic unit of mass (SI). We may use the following relationship to convert from amu to kg:

1.66054 x  \(10^{-27}\)kg = 1 amu

To convert a mass from amu to kg, multiply the mass in amu by 1.66054 x \(10^{-27}\). For instance, if we have a mass of 10 amu, we may convert it to kg using the formula:

10 amu x 1.66054 \(10^{-27}\) kg/amu = 1.66054 \(10^{-26}\) kg.

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Answer:

Step-by-step explanation:

here you have the answers

Answer:

Solution= x=1/3k-y-z

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+3y+3z=k  ---> 3x=-3y=3z+k

Move the variables to the right

3x=-3y-3z+k ---> x=-y-z+1/3k

Divide both sides by 3

x=-y-z+1/3k ---> x=1/3k-y-z

Use the communicative property to reorder the terms

Solution= x=1/3k-y-z

Answer:

X intercept: -y

Y intercept: -x

I hope this correct and it helps!

Answer:

Here are a few of the factor pairs. The rest you can find in the pdf below.

The frequency of each range in the table is as follows:-

Range       Frequency

\(0-4\)                \(2\)

\(5-9\)                \(3\)

\(10-14\)             \(6\)

\(15-19\)             \(0\)

\(20-24\)             \(1\)

\(25-29\)             \(2\)

The frequency of a particular value is the number of times the value occurs in the data.

First, find the number of times the particular value occurs in the given data.

Given, Raphael surveyed his co-workers to find out their spent hours on the internet each week.

The results are:-

\(14,22,10,6,9,3,13,7,12,2,26,11,13,25\)

Thus, the number of occurence of a particular range can be written as follows:-

Range        Hours in given data       Frequeny

\(0-4\)                     \(3,2\)                              \(2\)

\(5-9\)                    \(6,9,7\)                            \(3\)

\(10-14\)           \(14,10,13,12,11,13\)             \(6\)

\(15-19\)                     \(0\)                               \(0\)

\(20-24\)                    \(22\)                              \(1\)

\(25-29\)                  \(26,25\)                           \(2\)

Hence, the frequency of each range in the table is as follows:-

Range               Frequency

\(0-4\)                         \(2\)

\(5-9\)                         \(3\)

\(10-14\)                      \(6\)

\(15-19\)                      \(0\)

\(20-24\)                      \(1\)

\(25-29\)                      \(2\)

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Answer: i think c

Step-by-step explanation:

In the Tudor-Fordor example, we have two firms, Tudor and Fordor, competing in a market. Tudor is risk-averse with square-root utility over its total profit, while Fordor is risk-neutral. The low per-unit cost for Tudor is given as 10.

Let's first recap the Tudor-Fordor example. In this scenario, Tudor and Fordor are two companies producing the same product and competing in the market. Tudor has a low per-unit cost of 10, while Fordor has a per-unit cost of 15. Now, let's add the new assumption that Tudor is risk averse and has square-root utility over its total profit. This means that Tudor's utility function is U(T) = √T, where T is Tudor's total profit. On the other hand, Fordor is still risk-neutral, which means that its utility function is U(F) = F, where F is Fordor's total profit.

With these new assumptions, we can see that Tudor's risk aversion will affect its decision-making. Tudor will want to avoid taking risks that could result in a lower total profit because the square-root utility function means that losses have a greater impact on its overall utility. In contrast, Fordor's risk-neutral position means that it is not concerned about the level of risk involved in its decisions. It will simply choose the option that yields the highest total profit.

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Taking an online course in subjects like math offers several advantages, such as flexibility and convenience. However, there are also tradeoffs and challenges associated with online math courses.

One tradeoff is the lack of immediate face-to-face interaction with instructors and peers. In a traditional classroom setting, students can ask questions and receive immediate feedback. In an online course, communication may be asynchronous, leading to potential delays in getting clarifications or resolving doubts.

Another challenge is the need for self-discipline and motivation. Without the structure of regular in-person classes, students must manage their time effectively, stay motivated, and be proactive in their learning. Online courses require self-direction and independent study skills.

To overcome these challenges, various tools and strategies can be helpful. Online math courses often provide discussion forums, email communication, or virtual office hours with instructors for student-teacher interaction. Additionally, online platforms may offer multimedia resources, video tutorials, and interactive simulations to enhance understanding and engagement.

Students can also form virtual study groups or join online math communities to connect with peers and collaborate on problem-solving. Personal organization tools, such as calendars and task management apps, can assist in staying on track with assignments and deadlines.

Ultimately, success in an online math course requires self-motivation, effective time management, active participation, and utilizing available resources and support systems.

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If x has a percentage of 10% and that is equal to y at 100%, then x is equal to 10% of y. If x is at 100%, then the percentage of y would be 1000%.

Here's how to arrive at this answer:

First, let's set up the equation to represent the given information:

x = 10% * y

If we solve for y in this equation, we get:

y = x / (10%)

Now, if we set x equal to 100%, we get:

y = (100%) / (10%)

Simplifying this fraction gives us:

y = 10

Since y is equal to 10, the percentage of y is 1000%.

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Answer:

The answer to your problem is, 11.25

Step-by-step explanation:

Formula used:

v = height x width x length

length = v / (width x height)

The volume equals 525, width 16 2/3 (16.67) and height 2 4/5 (2.8), replacing, length = 525 / (16.67 * 2.8)

Therefore the length being 11.25

Thus the answer to your problem is, 11.25

The Fintech industry has several advantages and disadvantages. Customers should weigh both the pros and cons before choosing to engage with Fintech services.

Advantages of Fintech are: Accessibility: One of the significant advantages of Fintech is accessibility.

It is simple for customers to utilize and engage with financial services through smartphones or other digital devices.

Saves Time: Fintech provides a digital platform for financial transactions, eliminating the need for consumers to visit bank branches physically.

This saves time for both the financial institution and the customers.

Lower Costs: Since Fintech companies have fewer overhead costs than traditional financial institutions, they can offer lower fees and higher interest rates to their customers.

Faster Transactions: Digital technology eliminates the need for paperwork and other manual processes, allowing transactions to be completed in seconds or minutes instead of days or weeks .

Increased competition: Fintech has introduced new competitors into the financial industry, leading to increased competition that benefits consumers.

Therefore, the Fintech industry has several advantages and disadvantages. Customers should weigh both the pros and cons before choosing to engage with Fintech services.

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Answer:

Step-by-step explanation:

B

Answer:

k = 11b - 8 (easiest to understand)

extra:

k = -8 + 11b

or

11b = -8 - k

etc. ( anything mixing up the components of the equation ).

⇛2√3.

Step-by-step explanation:

Given,

6/√3

The denominator is √3.

We know that

The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.

⇛(6/√3)×(√3/√3)

⇛(6√3)/(√3)²

⇛(6√3)/(√3*3)

⇛(6√3)/3

⇛2√3

Hence, the denominator is rationalised.

An.swer:

171.68

Step-by-step explanation:

To sustain the vector (5,5) as a subgame perfect equilibrium payoff in the repeated game G using Nash reversion, we need to determine the values of the discount factor d for which this is possible.

In the repeated game Go(8), the players have a common discount factor d ∈ (0,1). For a subgame perfect equilibrium, the players must play a Nash equilibrium strategy in every subgame.

In the given normal form game G, the Nash equilibria are (L, T) and (R, B). To sustain the vector (5,5) as a subgame perfect equilibrium payoff, the players would need to play the strategy (L, T) infinitely in every repetition of the game G.

The strategy (L, T) yields a payoff of (5,5) in the first stage of the game, but in subsequent stages, the players would have incentives to deviate from this strategy due to the possibility of higher payoffs. Therefore, it is not possible to sustain the vector (5,5) as a subgame perfect equilibrium payoff using Nash reversion, regardless of the value of the discount factor d.

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The translation of the ordered pairs (-3, 6) and (9, -8) gives:

(0, 5) and (12, -9)

Translation is  a type of transformation that moves a shape without changing its size or shape. The translation is done by moving every point in the figure the same distance in the same direction.

In this case, the translation T(3, -1) moves each point in the plane 3 units to the right (x -axis) and 1 unit down (y-axis).

Thus, to translate the ordered pairs (-3, 6) and (9, -8), we add 3 to the x-coordinate and subtract 1 from the y-coordinate.

Therefore, this gives us the new ordered pairs (0, 5) and (12, -9).

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Thus, it will take 2 years 8 months for Gabriella to save up $4,800 for the air conditioner.

We have to determine the variable separately or isolate the variable across one side when evaluating an equation for a variable.

A linear equation is one in which the maximum possible power of both the variables is 1. In other words, a linear equation as in variable "x" is one that has the form of axe + b = c, where a, b, and c are constants, a 0, and "x" is the variable.

In the given question:

Total price of air conditioner including tax = $4,800.

Savings per month =  $150

Let 'n' be the number of months.

Then, one variable linear equation forms:

150n = 4800

n = 4800 / 150

n = 320 months

n = 2 years 8 months

Thus, it will take 2 years 8 months for Gabriella to save up $4,800 for the air conditioner.

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Answer:

Explanation:

use the formula: n(n+1)/2

                            where n is the number of nth position

(a)

n(n+1)/2

22(22+1)/2

253

(b)

11(11+1)/2

66

(c)

n(n+1)/2

31(31+1)/2

496

(d)

n(n+1)/2

40(40+1)/2

820

Answer:

a) 253

b) 66

c) 496

d) 820

Step-by-step explanation:

Triangular numbers : pattern of numbers that form equilateral triangles. Each subsequent number in the sequence adds a new row of dots to the triangle.

nth triangular number formula: \(T_n=\dfrac{n(n+1)}{2}\)

a) if n = 22

\(T_{22}=\dfrac{22(22+1)}{2}=253\)

b) if n = 11

\(T_{11}=\dfrac{11(11+1)}{2}=66\)

c) if n = 31

\(T_{31}=\dfrac{31(31+1)}{2}=496\)

d) if n = 40

\(T_{40}=\dfrac{40(40+1)}{2}=820\)

The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is that it increases without bound as x approaches positive and negative infinity.

The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 can be determined by examining the degree and leading coefficient of the polynomial. The degree of the polynomial is 5, which indicates that the graph increases without bound as x approaches positive and negative infinity. The leading coefficient of the polynomial is 1, which indicates that the graph increases as x approaches positive and negative infinity.

To illustrate this, let's consider the value of f(x) for increasingly large values of x. For x = 10, f(x) = 10^5 + 8(10^4) + 16(10^3) = 1,000,000 + 80,000 + 160,000 = 1,240,000. As x continues to increase, the value of f(x) continues to increase without bound as the terms of the polynomial become increasingly larger.

Similarly, for x = -10, f(x) = (-10)^5 + 8((-10)^4) + 16((-10)^3) = -1,000,000 + 80,000 - 160,000 = -980,000. As x continues to decrease, the value of f(x) continues to decrease without bound as the terms of the polynomial become increasingly larger.

Thus, the end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is that it increases without bound as x approaches positive and negative infinity.

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Upper Control Limit for R Chart: UCL = D4 * R-Bar , UCL = 2.114 * 1.000, UCL ≈ 2.115 cm. Therefore, the correct answer is 2.115 cm(d).

To calculate the upper control limit for the R Chart, we need to use the following formula:

Upper Control Limit (UCL) = D4 * R-Bar

Where:

- D4 is a constant value based on the sample size (n=5 in this case).

- R-Bar is the average range of the samples, which is given as 1.000 cm.

The value of D4 for a sample size of 5 is 2.114. (You can find this value in statistical reference tables.)

Now, we can calculate the UCL:

UCL = D4 * R-Bar

   = 2.114 * 1.000

   = 2.114 cm

Rounding to 3 decimal places, the upper control limit for the R Chart is 2.114 cm.

Therefore, the correct option is: d. 2.115 cm

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The complete question is :

Repeated sampling of a certain process shows the average of all sample ranges to be 1.000 cm. There are 12 random samples and the sample size has been 5. What is the upper control limit for R Chart? Must compute in 3 dec pl. Select one: O a. 2.745 cm O b. 3.005 cm O c. 1.725 cm d. 2.115 cm e. 2.000 cm

Mr. Baral has to pay Rs 64000 as an annual income tax at an interest of 10% for his stationary shop.

From the question, we have given that if he is unmarried and his income is between Rs 5,00,001 to Rs 7,00,000, he has to pay an annual interest of 10%.

Given annual income in Rs = 640000.

The annual income tax rate he has to pay at = 10%

So, to find out the income tax from the annual income we have to find out the 10% of 640000.

Income tax = 640000/100 * 10 = 64000

From the above analysis, we can conclude that Mr. Baral has to pay 64000 rs of income tax annually.

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Given question is not having enough information, I am writing the complete question below:

Use it to calculate the income taxes. For an individual Income slab Up to Rs 5,00,000 0% Rs 5,00,001 to Rs 7,00,000 10% Rs 7,00,001 to Rs 10,00,000 20% Rs 10,00,001 to Rs 20,00,000 30% Tax rate For couple Tax rate 0% Income slab Up to Rs 6,00,000 Rs 6,00,001 to Rs 8,00,000 Rs 8,00,001 to Rs 11,00,000 20% Rs 11,00,001 to Rs 20,00,000 30%

a) Mr. Baral has a stationery shop. His annual income is Rs 6,40,000. If he is unmarried, how much income tax should he pay? 10%​

Answer:

i think it is .64

Step-by-step explanation:

Answer:

I believe it is C or D.  (C) The IQR is the best measurement of spread for games and movies.

(D) The standard deviation is the best measurement of spread for games and movies.

The explanation why it could be D:

Measures of spread are stats that describes how separated are the group of data between each other.

The measures are range, quartiles, variance and standard deviation. Among these measures, the standard deviation is the one that best expresses the variation, dispersion or spread of a set of values, because is based on the difference between each data and the mean, it takes in count each separation.

The explanation why it could be C:

Our both box plots are highly skewed, therefore, the IQR is the best measurement of spread for games and movies and option C is the correct choice.

I believe it is C, my friend. So I would go with C.

I hope this helps.

The statement that if Σan and Σbn are both convergent series with positive terms, then Σanbn is also convergent is false.

The given statement that if Σan and Σbn are both convergent series with positive terms, then Σanbn is also convergent can be proved false by providing a counterexample. That is, we can provide an example of two convergent series with positive terms whose product series is divergent. To prove the given statement false, we can take the following example series:an = 1/n2bn = n

Then, Σan and Σbn both converge.

We can show this as follows: Σan = 1/12 + 1/22 + 1/32 + 1/42 + … is a well-known convergent p-series with p = 2. Σbn = 1 + 2 + 3 + 4 + … is a divergent series.

However, the product series Σanbn is a divergent series. We can show this as follows:Σanbn = (1/1) + (2/4) + (3/9) + (4/16) + …= Σ(1/n)

This series is known as the harmonic series, which is a well-known divergent series.

Therefore, the given statement is false.

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