Which rule describes the translation below?
(x,y) →(x-5.y-3)
(x,y) →(X+5.y+3) (x,y) → (x-3.y-5)
(x,y) → (x+3.y+5)

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

Answer:

1500 calories

Step-by-step explanation:

2400 is 100% of in this case, 8/8

So then we know that 1/8 of 2400 is 300 because we just divide it by 8. Sarah eats 5/8 that much so we multiply 300 by 5 which gives us 1500

Answer:

2400 x 5/8 = 1500

Step-by-step explanation:

Just multiply the fraction they gave u

For the maximum volume of , the value of x must be smaller that is x = 2.90 inch. Size of square = 8.41 sq. in.

The issue is an application of maxima and minima, where the unknown quantity is located using the first derivative. Keep in mind that the height of a box is equal to a side of the cut square when the sides are bent upward. Moreover, the box formula's volume is

Volume = length * width * height

Given:

Volume of new box = (32 - 2x)(12 - 2x)x

Rearranging terms:

V = 4x³ - 88x² + 384x

For maximum volume, V' = 0 (first derivative)

V' = 12x² - 167x + 384

V' = 0

12x² - 167x + 384 = 0

Solve using quadratic formula:

x = [-b ± √(b² - 4ac)] / 2a

a = 12 , b = - 167 , c = 384

x = [167 ± √(167² - 4*384*12)] / 2*12

x =  [167 ± 7√193] / 24

Now,

x =  [167 + 7√193] / 24

x = 11.01 inch

and,

x = [167 - 7√193] / 24

x = 2.90 inch

For the maximum volume of , the value of x must be smaller that is x = 2.90 inch.

Size of square = x²

Size of square = 2.90²

Size of square = 8.41 sq. in.

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Answer:

1st option

Step-by-step explanation:

10 + 12 ← factor out 2 ( the GCF of 10 and 12 ) from each term

= 2(5 + 6)

The factored expression of the expression 10 + 12 is (1) 2(5 + 6)

From the question, we have the following parameters that can be used in our computation:

10 + 12

Factor out 2 from the expression

So, we have

10 + 12 = 2 * (5 + 6)

Expand the expression in bracket

10 + 12 = 2 * (5 + 6)

Remove the product sign

So, we have

10 + 12 = 2(5 + 6)

Hence, the factored expression is (1) 2(5 + 6)

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a) The total cost to produce 300 CD's is; $2550

b) The total cost C(n) in dollars of making n CDs is; C(n) = 1800 + 2.5n

We are given that;

Cost of recording an album = $1000

Cost to edit the album = $450

Cost for album art work = $350

Cost of each manufactured CD = $2.50

a) The fixed costs (no matter how many CDs are recorded) is;

Fixed costs = $1000 + $450 + $350 = $1800

The variable costs (depends on the number of CDs recorded) for 300 CD's is;

300 CDs * $2.50 = $750

Thus;

Total cost for 300 CD's = 1800 + 750 = $2550

b) We want to find the total cost function for making n number of CD's. From above, since Fixed cost is 1800 and variable cost is 2.5 per CD, then the function is;

C(n) = 1800 + 2.5n

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Complete question is;

A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50

(a) How much will it cost to make 300 CDs?

(b) What is the total cost C(n) in dollars of making n CDs?

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:250

Step-by-step explanation: A circle is 360 degrees.

1. 60+30+x+20=360

2.60+30=90

3.90+x+20=360

4. 360-90=270

5.x+20=270

6.270-20=250

7.x=250

I'm just an algebra student so I'm not completely reliable.

Answer:

40 and 28

Step-by-step explanation:

We have two unknown numbers, so let's call them x and y for now.

We know the sum of the two numbers is 68, and the difference is 12, so let's substitute those two numbers for x and y:

x+y=68

and

x-y=12

Because both of these systems are true, we can take both these equations and combine them, by adding each side of one equation with the corresponding side of the other.

So we have:

(x+y)+(x-y)=(68)+(12)

2x=80

x=40

Now we know one of the numbers, x, is equal to 40, so now we can plug that number back into one of the two original equations, x+y=68 or x-y=12. I'll choose x-y=12.

After plugging in x, we get:

40-y=12

-y=-28

y=28

So now we have figured out x and y, which are 40 and 28.

The probability of red on the second spin 1/12. the probability of blue on the second spin 1/18.  the probability of not spinning cyan on either spin is 25/36.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The ratio of favorable outcomes to all possible outcomes is used as the formula to determine an event's probability. Probabilities are always in the 0 to 1 range.

Probability = Number of Favorable Outcomes / Total Number of

we know the formula of probability;

probability=favorable outcomes/total number of outcomes

so for red:

P(red) = 3/6 = 1/2

so for blue:

P(blue) = 2/6 = 1/3

so for cyan

P(cyan) = 1/6

Now totally;

P( cyan then red) =  1/6 * 1/2 = 1/12

P(cyan then blue) =  1/6 * 1/3 = 1/18

P( no cyan on 2 spins) = (1/2+1/3)* (1/2+1/3) = 5/6 * 5/6 = 25/36

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The t value will be the result that is  58.851995039

The t-statistic for the observed correlation coefficient of 0.951 can be calculated to determine if it is statistically significant. Using the T.INV() spreadsheet function and the appropriate degrees of freedom.

We can test the null hypothesis of no correlation at the 5% significance level. Additionally, the T.DIST() function can be used to calculate the p-value of the t-statistic.

To calculate the t-statistic, we need to know the sample size (n) and the observed correlation coefficient (r). In this case, we have 37 monthly observations and a correlation coefficient of 0.951. The t-statistic can be calculated using the formula t = r x sqrt((n - 2) / (1 - r^2)). Plugging in the values, we find t = 0.951 x sqrt((37 - 2) / (1 - 0.951^2)).

By comparing this t-statistic to the critical value at the desired significance level (5% in this case), we can determine if the null hypothesis of no correlation can be rejected. Additionally, the p-value can be calculated using the T.DIST() function to determine the probability of obtaining a t-statistic as extreme as the observed value. If the p-value is less than the chosen significance level, the null hypothesis can be rejected.

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Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

234500000020000000000000000

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation: 2×2×2, which is basically 2³ in expanded form, is gonna equal 8.

Step-by-step explanation:

???????? what is easy??

Answer:

15/4 or 3 3/4 or 3.75

Step-by-step explanation:

We can split it up like 225 (square root) divided by 16 (square root). If you recall squares, you will know 225 square root is 15, and 16 square root is 4. So 15/4 is the answer, or if you want to simplify 3 3/4, and decimal will be 3.75.

Answer:

110 pages

Step-by-step explanation:

Let number of pages read on 1st day = x

-> No. of pages read on 2nd day = 2x

& No. of pages read on 3rd day = x - 6

Total no of pages read = 458

-> x + 2x + x - 6 = 458

-> 4x - 6 = 458

-> 4x = 458 + 6

-> 4x = 464

-> x = 464/4

-> x = 116

No of pages read on third day = x - 6 = 116 - 6 = 110

c = 1/2, and the pdf is fx(x) = { 1/2 \((1-x^{2} )^{-1}\), −1 ≤ x ≤ 1or 0 otherwise and cdf of X is: FX(x) = { 0, x ≤ -1 or -1/2 \(tan^{-1}(x/\sqrt{1-x^{2} )}\) + 1/2, -1 < x < 1 or 1 ,x ≥ 1

(a) To find c, we need to integrate the pdf over its support and set the result equal to 1 since the pdf must integrate to 1 over its entire support. Therefore, we have:

1 = ∫c \((1-x^{2} )^{-1}\) dx from -1 to 1

Using the substitution u = 1 - \(x^{2}\), we have:

1 = c∫ \(u^{-1/2}\) dx from 0 to 1

Solving the integral, we get:

1 = 2c

Therefore, c = 1/2, and the pdf is:

fx(x) = {

1/2 \((1-x^{2} )^{-1}\) , −1 ≤ x ≤ 1

0 otherwise

To sketch the pdf, we can notice that it is symmetric about x = 0 and that it approaches infinity as x approaches ±1. Therefore, it will have a peak at x = 0 and decrease as we move away from x = 0 in either direction.

(b) To find the cdf of X, we can integrate the pdf from negative infinity to x for each value of x in the support of the pdf. Therefore, we have:

FX(x) = ∫fX(t) dt from -∞ to x

For x ≤ -1, FX(x) = 0, since the pdf is zero for x ≤ -1. For -1 < x < 1, we have:

FX(x) = ∫1/2 \((1-t^{2} )^{-1}\) dt from -1 to x

Using the substitution u = \(t^{2}\) - 1, we have:

FX(x) = -1/2 ∫\((x^{2} -1)^{-1/2}\) du

Solving the integral, we get:

FX(x) =  -1/2 \(tan^{-1}(x/\sqrt{1-x^{2} )}\)  + 1/2

For x ≥ 1, we have FX(x) = 1, since the pdf is zero for x ≥ 1. Therefore, the cdf of X is:

FX(x) = {

0 x ≤ -1

-1/2 \(tan^{-1}(x/\sqrt{1-x^{2} )}\)  + 1/2 -1 < x < 1

1 x ≥ 1

To sketch the cdf, we can notice that it starts at 0 and increases gradually from x = -1 to x = 1, where it jumps to 1. The cdf is also symmetric about x = 0, similar to the pdf.

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The price of $285,000 for a 1,465-square-foot home is likely above the average for a home of this size.

The average price of homes can vary depending on various factors such as location, market conditions, amenities, and overall demand. However, based on typical market trends, a home with 1,465 square feet selling for $285,000 is likely to be above the average price for a property of that size.

There could be several reasons for the higher price of this particular home. Location plays a crucial role in determining property prices, and if the home is situated in a desirable neighborhood or a sought-after area with good schools, amenities, or proximity to major attractions, it could command a premium. Additionally, the home may have undergone significant renovations or upgrades that justify the higher price.

Features like modern appliances, updated fixtures, renovated bathrooms or kitchens, energy-efficient systems, or high-quality finishes can contribute to the increased value. Other factors like a larger lot size, attractive landscaping, or special architectural design may also influence the price. Furthermore, market conditions and demand-supply dynamics can impact the pricing, as high demand and limited inventory can lead to higher prices in certain areas.

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The probability that a student makes between $13,000 and $14,000 is approximately 0.2356.

The probability that a student makes more than $15,000 is approximately 0.0188.

To find the probabilities in question, we need to standardize the salaries using the formula:

z = (x - μ) / σ

where z is the standard score, x is the given salary, μ is the mean salary, and σ is the standard deviation.

A) To find the probability that a student makes more than $15,000, we first standardize the value:

z = (15,000 - 12,837) / 1500 = 2.09 (rounded to two decimal places)

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The probability can be calculated as:

P(X > 15,000) = P(Z > 2.09) ≈ 0.0188 (rounded to four decimal places)

B) To find the probability that a student makes between $13,000 and $14,000, we need to standardize both values:

z1 = (13,000 - 12,837) / 1500 ≈ 0.11 (rounded to two decimal places)

z2 = (14,000 - 12,837) / 1500 ≈ 0.77 (rounded to two decimal places)

Next, we find the cumulative probabilities associated with these z-scores:

P(13,000 < X < 14,000) = P(0.11 < Z < 0.77)

Using a standard normal distribution table or a calculator, we can find these probabilities individually and then subtract them:

P(0.11 < Z < 0.77) ≈ P(Z < 0.77) - P(Z < 0.11) ≈ 0.7794 - 0.5438 ≈ 0.2356 (rounded to four decimal places)

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Answer:

16,886

Step-by-step explanation:

The last answer! Pls mark me brainly!

Answer:

false

Step-by-step explanation:

horizontal is left and right

The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.

In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.

A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.

For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:

while (condition) {

   // block of code to be executed while condition is true

}

In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.

Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:

def function(argument1, argument2):

   # block of code to be executed in the function

   return result

In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.

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Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3

The simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

As given in the question,

Given expression :

 ( a⁴b²c³d ) / acbd

Simplified form of the given expression using rules of power and exponents:

Since this is division of algebraic fractions, the index (power or exponent) of the like literals in the numerator and denominator are to be subtracted. Thus index of variable a reduces from 4 to 1. Similarly index of variable b reduces from 2 to 1 and that of c reduces from 3 to 2. Lastly variable d remains in the denominator as there is no corresponding factor in the numerator.

( a⁴b²c³d ) / acbd

= (a⁴⁻¹ )(b²⁻¹ )(c³⁻¹ )(d¹⁻¹)

= a³ bc²d⁰

= a³bc²

Therefore, the simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

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If Southland is producing at point X, to determine the number of additional schools it can produce without giving up any movies, we need to refer to the concept of production possibilities frontier (PPF).

The PPF represents the maximum output combination of two goods that an economy can produce with its available resources and technology.

In this case, movies and schools are the two goods being produced. If Southland is operating at point X on the PPF, it means it is efficiently allocating its resources to produce a certain quantity of movies and schools. To find out how many more schools can be produced without sacrificing any movies, we need to identify a point on the PPF that lies on the same movie production level as point X.

Let's assume that at point X, Southland is producing 10 movies. To determine the number of additional schools, we need to find a point on the PPF where the movie production level is also 10. Let's say at this point, Southland can produce 20 schools.

Therefore, the answer is 20 more schools.

If Southland is producing at point X and is currently producing 10 movies, it can produce an additional 20 schools without giving up any movies. This calculation is based on the assumption that the PPF remains constant and there are no changes in resource availability or technology.

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