The science of correct reasoning is called

Answer:

x > 8/3

Step-by-step explanation:

graph: non-shaded circle at 8/3 (2.6) & line pointing right (towards greater nums)

Answer:

I going to say this should be easy because there must be a f(x) in a function so I think the answer is A.

Step-by-step explanation:

I think that functions must have f(x) in the equation.

If Melinda hit a total of 1,645 tennis balls and she hits 32 balls per minute, it means she has been in the tennis practice for 50 minutes

How many of the hits of 1645 are attributable to only practice?

Out of the 1645 tennis balls so far hit by Melinda only 1,600 are attributable to the tennis practice because she  has already hit 45 tennis balls before the tennis practice commenced

number of tennis balls in tennis practice=1645-45

number of tennis balls in tennis practice=1600

number of minutest at practice=1600/32

number of minutest at practice=50 minutes

In essence, Melinda has been at the practice for 50 minutes

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Answer:

7 years old

Step-by-step explanation:

36=3x+15

x=21/3=7

Answer:

X = 7

Step-by-step explanation:

nephew ---- x

Kim ------ 3x + 15

3x+15 = 36

3x = 36-15

3x = 21

x = 7

9514 1404 393

Answer:

  1921/496

Step-by-step explanation:

There are many rational approximations to √15, some better than others.

A linear approximation is often used:

  √15 ≈ 3 +(15-3^2)/(4^2-3^2) = 3 6/7 = 27/7

That can be refined by one iteration of the Babylonian method of determining the root:

  √15 ≈ (27/7 +15/(27/7))/2 = (3 6/7 +3 8/9)/2 = 3 55/63 = 244/63

This value is equivalent to the root rounded to 4 decimal places.

__

Another iteration of the Babylonian method gives the approximation ...

  √15 ≈ 119071/30744, equivalent to the root rounded to 9 decimal places.

__

The approximation 1921/496 is the best approximation that has a denominator under 1000.

_____

Additional comment

Successive rational convergents of the continued fraction approximation of √15 can be found as ...

  a'/b' = (3a +15b)/(a +3b)

This method adds approximately one more good decimal place per iteration.

__

Successive rational approximations can be found using the Babylonian method (Newton's method iteration) as ...

  a'/b' = (a² +15b²)/(2ab)

This method has "quadratic" convergence. It approximately doubles the number of good decimal places with each iteration.

You can use 3/1, 4/1, or 27/7 to begin either of these iterations.

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

Answer:

165 Calories

Step-by-step explanation:

A gram of carbohydrate contains 4 calories. A gram of protein also contains 4 calories. A gram of fat, though, contains 9 calories

5x9=45 10x4=40 20x4=80 45+40+80= 165

The solution is Option C.

The equation of line is given by y = -2x + 58

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 2 , 54 )

Let the second point be Q ( 5 , 48 )

The slope of the line between the points m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 54 - 48 ) / ( 2 - 5 )

On simplifying the equation , we get

Slope m = 6 / -3

Slope m = -2

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 54 = -2 ( x - 2 )

On simplifying the equation , we get

y - 54 = 2x + 4

Adding 54 on both sides of the equation , we get

y = -2x + 58

Therefore , the graph is plotted through the points ( 0 , 58 ) , ( 1 , 56 )

Hence , the equation of line is y = -2x + 58

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Answer:

To write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 3, 6​, we can use the Linear Factorization Theorem1.

The theorem states that if a polynomial function f has zeros x = r1, x = r2, …, x = rn (where r1, r2, …, rn are distinct real numbers), then f(x) can be factored as follows:

f(x) = a(x - r1)(x - r2)…(x - rn)

where a is a nonzero constant.

So for this problem, we have:

f(x) = (x - (-2))(x - 3)(x - 6)

Multiplying this out gives:

f(x) = (x + 2)(x - 3)(x - 6)

Expanding this expression gives:

f(x) = x^3 - 7x^2 + 12x + 36

Therefore, the polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 3, 6​ is:

f(x) = x^3 - 7x^2 + 12x + 36

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

We are asked to find the first four nonzero terms in a power series expansion about Xo for a general solution to the given differential equation, 4x^2y" - y' + y = 0, with Xo = 1. The expression will be in terms of a_0 and a_1, and it will include all terms up to order 3.

To find the power series expansion of a general solution to the given differential equation, we assume that the solution can be expressed as a power series in terms of (x - Xo), where Xo is the given value. Let's denote the general solution as y(x) = Σ a_n(x - Xo)^n, where Σ represents the summation symbol and a_n are coefficients.

Next, we substitute this power series into the differential equation and equate the coefficients of like powers of (x - Xo) to zero. This will generate a recursion relation for the coefficients a_n.

By solving the recursion relation, we can determine the values of the coefficients a_n. We need to find the first four nonzero terms, so we will solve for a_0, a_1, a_2, and a_3.

Once the coefficients are determined, we can write the expression for y(x) by including all terms up to order 3. The expression will involve a_0, a_1, and (x - Xo) raised to different powers corresponding to the coefficients.

Therefore, by solving the differential equation and determining the coefficients using the power series method, we can express the general solution up to the fourth nonzero term in terms of a_0, a_1, and the powers of (x - Xo) up to order 3.

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Answer:

27

Step-by-step explanation:

substitute x = - 3, a = - 5 into the expression

- 4x - 3a

= - 4(- 3) - 3(- 5)

= 12 + 15

= 27

Answer:

1) NOT Equivalent

2) Equivalent

3) NOT Equivalent

Step-by-step explanation:

1) 3(x+3)= 3x+9

2) 6(y+1)=6y+6

3)x(x+4)=x²+4x

When the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

If a 3 is five times more likely to appear than each of the other five numbers on the die, we can assign the following probabilities to each outcome:

\(P(1) = P(2) = P(4) = P(5) = P(6) = x\) (some common probability)

\(P(3) = 5x\)

Since the sum of the probabilities for all possible outcomes must be equal to 1, we have:

\(P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = x + x + 5x + x + x + x = 9x = 1\)

Solving for x, we get:

\(x = 1/9\)

Therefore, the probabilities for each outcome are:

\(P(1) = P(2) = P(4) = P(5) = P(6) = 1/9\\P(3) = 5/9\)

So when the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

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Answer:

3x-8

Step-by-step explanation:

15x^2 - 22x - 48 / 5x + 6

15x^2 / 5x = 3x

-48 / 6 = -8

3x-8

Hope this helps :)

The answer is d. time series, a  time series is a collection of observations that are measured at successive time intervals.

These observations are usually recorded at equal time intervals and are used to study patterns and trends over time. Time series data is used in a wide range of applications such as economics, finance, weather forecasting, and sales forecasting.

Time series analysis is the statistical method used to analyze time series data. It involves identifying patterns and trends over time, as well as forecasting future values based on past trends.

Time series models can be classified as either additive or multiplicative, depending on whether the components of the model are added or multiplied together. Trend, seasonal, and cyclical components are the main components of a time series model, and they help to explain the underlying patterns and trends in the data.

The goal of time series analysis is to use these components to develop a model that accurately describes the underlying patterns and trends in the data and to use that model to make forecasts of future values.

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Answer:

g(x+2) means that x + 2 is going into g(x).

Step-by-step explanation:

Given:

g(x) = x^2 - x

g(x + 2)

g(x+2) means that x + 2 is going into g(x)

x = x + 2

Substitute:

g(x + 2) = (x + 2)^2 - (x + 2)

Solve:

g(x + 2) = (x + 2)^2 - (x + 2)

= x^2 + 4x + 4 - (x + 2)

= x^2 + 4x + 4 - x - 2

Simplify:

g(x + 2) = x^2 + 3x + 2

Answer:

2.51

2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.

To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:

1 mile = 1609.34 meters

1 hour = 60 × 60 = 3600 seconds

Given the skater's rate of 5.6 mph:

Speed in m/s

= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)

≈ 2.51 m/s

So, the skater is traveling at a rate of approximately 2.51 meters per second.

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Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.

Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.

Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.

Transparency: Every user on the network may confirm any modifications made to the blockchain technology.

The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.

When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.

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Answer:

w+h+10=10wh

Step-by-step explanation:

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Answer:

B

Step-by-step explanation:

dababy

Answer: P(rolling a sum of 4 or rolling a sum of 5)

Step-by-step explanation: edge2023

The scenario that uses the addition rule for mutually exclusive events is:

p(rolling a sum of 4 or rolling a sum of 5) = p(rolling a sum of 4) + p(rolling a sum of 5)

This is because the events "rolling a sum of 4" and "rolling a sum of 5" are mutually exclusive, meaning that they cannot occur at the same time. Therefore, the probability of either event occurring is the sum of their individual probabilities.

The probability of rolling a sum of 4 is 3/36, and the probability of rolling a sum of 5 is 4/36. The addition rule states that the probability of rolling a sum of 4 or 5 is the sum of their individual probabilities: 3/36 + 4/36 = 7/36

The other scenarios do not use the addition rule for mutually exclusive events:

p(rolling a sum of 4) is a single event and does not involve a second event.

p(rolling a sum of 12 or rolling a double 6) although the two events are mutually exclusive, it's not the sum of their individual probabilities.

p(rolling a sum of 11 and rolling a sum of 12) these events are not mutually exclusive, they can happen at the same time, so it's not the sum of their individual probabilities.

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Answer:

This geometric series is convergent:

\( \frac{10}{1 - ( - \frac{1}{5}) } = \frac{10}{ \frac{6}{5} } = 10( \frac{5}{6} ) = \frac{25}{3} = 8 \frac{1}{3} \)

The geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.

To determine if the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent or divergent, we need to examine the common ratio (r) between consecutive terms.

The common ratio (r) can be found by dividing any term by its preceding term.

Let's calculate it:

r = (-2) ÷ 10 = -0.2

r = 0.4 ÷ (-2) = -0.2

r = (-0.08) ÷ 0.4 = -0.2

In this series, the common ratio (r) is -0.2.

For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1. If |r| ≥ 1, the series is divergent.

In this case, |r| = |-0.2| = 0.2 < 1.

Since the absolute value of the common ratio is less than 1, the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.

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As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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Answer:

gcf, hcf, gcd (65; 169) = 13: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.

Answer:

13 Hope this helps :)

Answer: 84 cm

Step-by-step explanation: The sides lengths are 25 cm and 17 cm. And to get parameter you have to add all the sides. So, it would be 25 + 25 + 17 + 17.

Answer:

The circumcenter of a triangle is a point that is equidistant from all three vertices.

Step-by-step explanation:

What is equidistant from the vertices of a triangle?

The circumcenter of a triangle is a point that is equidistant from all three vertices.

Answer:

? = 10

Step-by-step explanation:

if 3 or more parallel lines are intersected by two or more transversals , the parallel lines divide the transversals proportionally , that is

\(\frac{25}{?}\) = \(\frac{15}{6}\) ( cross- multiply )

15 ? = 150 ( divide both sides by 15 )

? = 10