Write an equation for each translation of y
|x1.
2.5 units left

Step-by-step explanation:

0.84 x100

-------

1 x100

84

------- simplify (find the highest common

100 factor)

84 divide by 4

------

100 divide by 4

21

-----

25

The expression for y'(x) in terms of x and y is:

y'(x) = (-2x + 9y) / (-9x - 2y - 2)

To find the expression for y'(x) using implicit differentiation, we'll differentiate both sides of the equation with respect to x and solve for y'(x). Let's start with the given equation:

x^2 - 9xy - y^2 - 2y = 4

Differentiating both sides with respect to x:

d/dx(x^2) - d/dx(9xy) - d/dx(y^2) - d/dx(2y) = d/dx(4)

2x - 9y - 9x(dy/dx) - 2y(dy/dx) - 2(dy/dx) = 0

Now, let's collect the terms involving dy/dx on one side:

-9x(dy/dx) - 2y(dy/dx) - 2(dy/dx) = -2x + 9y

Factor out dy/dx:

(dy/dx)(-9x - 2y - 2) = -2x + 9y

Divide both sides by (-9x - 2y - 2) to solve for dy/dx:

dy/dx = (-2x + 9y) / (-9x - 2y - 2)

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The expression is equivalent to 45m^-6p^2v^12/15m^-2p^8v^-4 is Option b 3v^16/m^4p^6 .

Given :

expression is equivalent to for all values of m , p , and v where the expression is defined

= ( 45m^-6 ) * p^2 * v^12 / 15m^-2 * p^8 * v^-4

= ( 45 / 15 ) ( m^-6 / m^-2 ) ( p^2 / p^8 ) ( v^12 / v^-4 )

= 3 ( m^-6 - ( -2 ) ( p^2 - 8 ) ( v^12 - ( - 4 )

= 3 ( m^-6 + 2 ) ( p^-6 ) ( v^12 + 4 )

= 3 ( m^-4 ) ( p^-6 ) ( v^16)

= 3 * v^16 / m^4 * p^6

= 3v^16 / m^4p^6

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The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.

To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.

For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.

For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.

To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:

Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.

Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.

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Answer:

Equation: 15x+30=3

Number of Cupcakes: x = 75

Step-by-step explanation:

30 x 3 - 15 = 75

I hope this helps you :)

The equation is 3=(x+15)/30 and the number of additonal cupcakes to be made is 75.

An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.

It is known that each student will have 3 cupcakes. So, right side of the equation will be 3.

After 15 cupcakes, x more cupcakes are needed. So, the total number of cupcakes is x+15.

Since there are 30 students, the number of cupcakes per student will be (x+15)/30

Determine the equation and solve it.

(x+15)/30=3

x+15=90

x=75

So, 75 more cupcakes are needed to be baked.

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Answer: x = 1, y = 5

Step-by-step explanation:

I assume you want to solve this system of linear equations:

from the first one:

2x + y = 7

.: y = 7 - 2x

substituting this for the y in the second equation:

3x - 2(7 - 2x) = -7

3x - 14 + 4x = -7

7x = 7

x = 1

From before we know that y = 7 - 2x

so now that we know x = 1, we can say y = 7 - 2(1) = 5

So x = 1, y = 5

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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Answer:

No

Step-by-step explanation

because 5+2=7 so I don't have a piece of cake left over

M is the mid point of BC. So ∠MDC = ∠N and ∠DCM is ∠MBN ∠DMC = ∠BMN

All the sides of the two angles are equal.So the area of ∠DCM = ∠BMN

Using the scale given, the actual length of each side is: 21 feet.

The scale of a drawing or a map is a ratio or a fraction that represents the relationship between the size of an object on the drawing or map and its actual size in the real world. The scale is used to convert the dimensions of objects on a drawing or map to their real-world dimensions.

Given the scale of 1 unit = 3.5 feet, and also the image which gives the blueprint shows that every side of the house is equal to each other.

Each side = 6 units.

Therefore, 6 * 3.5 feet = 21 feet.

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Answer:

D

Step-by-step explanation:

D

Answer:

The answer is B

Step-by-step explanation:

It's because the exponent have 6.

Answer:

0dh 8/6

Step-by-step explanation:

Answer:

-8/27

Step-by-step explanation:

First, make all fractions an improper fraction.

-2/3 / 9/4

Flip the right fraction over.

-2/3 * 4/9

multiply

and you get -8/27

Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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Answer: 22.5 and -19.5

Step-by-step explanation:

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

To understand why, we need to convert the mass of a single bromine atom from grams to nanograms.

There are 10^9 nanograms in a single gram, so we can use this conversion factor to make the necessary calculation:
1.327 × 10-22 g x (10^9 ng/1 g) = 1.327 × 10-13 ng

However, none of the answer choices match this value. We need to use scientific notation to convert 1.327 × 10-13 ng into one of the given answer choices.
a) 1.327 × 10-16 mg = 1.327 × 10^-10 ng (since 1 mg = 10^6 ng)
b) 1.327 × 10-25 kg = 1.327 × 10^-4 ng (since 1 kg = 10^12 ng)
c) 1.327 × 10-28 μg = 1.327 × 10^-19 ng (since 1 μg = 10^3 ng)
d) 1.327 × 10-31 ng = 1.327 × 10-31 ng

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

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The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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We need a sample size of 1068 voters to achieve a 95% confidence interval with a margin of error of 2.33 percentage points. To calculate the sample size needed for a 95% confidence interval, we need to use the formula:

n = (z* σ / E)^2
where n is the sample size, z* is the critical value for a 95% confidence level (which is 1.96), σ is the standard deviation (which is unknown), and E is the margin of error (which is 2.33 percentage points or 0.023).
Since we don't know the standard deviation, we can use the worst-case scenario and assume that p = 0.5 (which maximizes the sample size). Thus, we can estimate the standard deviation as:
σ = sqrt(p(1-p)/n) = sqrt(0.5(1-0.5)/n) = 0.5/sqrt(n)
Substituting this into the sample size formula, we get:
n = (z* σ / E)^2 = (1.96 * 0.5/sqrt(n) / 0.023)^2
Solving for n, we get:
n = (1.96 * 0.5 / 0.023)^2 = 1067.89
Rounding up to the nearest whole number, we need a sample size of 1068 voters to achieve a 95% confidence interval with a margin of error of 2.33 percentage points.

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After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.

The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.

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Answer:

x=16

Step-by-step explanation:

3*4=12

4*4=16

Answer:

measure of BAD=180-110

measure of BAD=180-110 =70

The correlation for the whole image using the given kernel and minimum zero padding can be computed as follows. The kernel ( \( w \) ) and the image ( \( f \) ) are convolved by flipping the kernel horizontally and vertically. This flipped kernel is then slid over the image, calculating the element-wise multiplication at each position and summing the results. The resulting sum represents the correlation between the kernel and the corresponding image patch. The process is repeated for every position in the image, resulting in a correlation map. The minimum zero padding is used to ensure that the kernel does not extend beyond the boundaries of the image during convolution.

In more detail, the correlation is computed by flipping the kernel horizontally and vertically, resulting in a flipped kernel. Then, the flipped kernel is placed on top of the image, starting from the top-left corner. The element-wise multiplication between the flipped kernel and the corresponding image patch is performed, and the results are summed. This sum represents the correlation between the kernel and that specific image patch. The process is repeated for every position in the image, moving the kernel one step at a time. Finally, a correlation map is obtained, showing the correlation values for each image patch. By applying minimum zero padding, the size of the output correlation map matches the size of the original image.

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As x + -∞, f(x) + 4; as x → ∞o, f(x) → 4.

The end behavior of a function f(x) is given by the limit of f(x) because x goes to infinity.

from the question, the function is:

\(f(x) = \frac{8x + 1}{2x - 9} \)

\(lim{x} \: -> - \infty f(x) \\ = lim→ - - ∞ \frac{8x}{2x} \\ = lim→ - ∞ 4 = 4.\)

Therefore the

\(As x + -∞, f(x) + 4; as x → ∞o, f(x) → 4.\)

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your question:

A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?

answer:

translation

hope this helps, have a good night :)

Answer:

translation im pretty sure

Answer: 28 is correct!!

Step-by-step explanation:

Answer:

The answer is x=28.

Step-by-step explanation:

I hope this helps.

Consider the indefinite integral ∫ x^8 * (x^4(8 + 6x^5))^4 dx.

(a) The most appropriate substitution is u = x^4(8 + 6x^5). Taking the derivative of u with respect to x, we have du/dx = (32x^3 + 30x^8) dx. Notice that the expression inside the parentheses is almost the derivative of u. To make it match, we can divide by 32, so du/dx = (x^3 + (15/16)x^8) dx.

(b) After making the substitution, we obtain the integral ∫ (1/32) u^4 du. The x^3 term in the original expression has transformed into (1/32)u^4.

(c) Solving this integral (in terms of u) yields (1/32) * (u^5/5) + C. The antiderivative of u^4 is (u^5/5), and we divide by 32, the coefficient that appeared after the substitution.

(d) Substituting back for u, we obtain the answer ∫ x^4(8 + 6x^5)^4 dx = (1/32) * (x^4(8 + 6x^5)^5/5) + C. This is the indefinite integral in terms of x.

Note: The expression (8 + 6x^5)^5 in the final answer comes from raising the substituted expression u = x^4(8 + 6x^5) to the power of 5 in the antiderivative.

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Two membership options are available at a water park: unlimited use for $70 per month or $10 per month plus $5 per visit. 12 visits are the preferred schedule.

AQUAPARK THE BIGGEST IN THE NETHERLANDS! An incredible sight to behold a floating playground island that is 2,000 square meters in size and made up of various floating playsets. For anyone who like climbing, sliding, and jumping, this is a veritable wonderland. Malta's waters received a 96.6% outstanding rating in the assessment and are renowned for their clear waters and undeveloped coasts. Look no farther if you're searching for one of Europe's cleanest open-water locations. Siam Park is the place to go if you want a rush of adrenaline and fast-moving water rapids. While travelling with children, Aqualand is a great option if you're seeking for more family-friendly rides.

The cost of a $10 monthly charge plus $5 for each visit can be calculated as follows:

Cost = 10 + 5*v

where v denotes the monthly visits.

If both membership levels have the same price, then:

\(10 + 5*v = 70\)

\(5*v = 70 - 10\)

\(v = 60/5v = 12\)

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