(5x¹ + xy) dx + (6y - x²) dy = 0
2. Let function f : [0, 1] → R defined by f(x) = { integrable on [0, 1]. Evaluate f f(x) dx. if r € ( 0, if x = 0. Prove that fis

The standard bus takes x + 29 minutes and the airplane takes x / 2 minutes.

The express bus from Dublin to Belfast takes x minutes, and the standard bus takes 29 minutes longer.

To find the time the standard bus takes, we simply add 29 minutes to the time the express bus takes.

The expression for the time the standard bus takes is:
Standard bus time = x + 29
The airplane takes half the time the express bus takes.

To find the time the airplane takes, we divide the time the express bus takes by 2.

The expression for the time the airplane takes is:
Airplane time = x / 2.

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Answer:

25

----

36

Step-by-step explanation:

Square both the numerator and the denominator of this fraction, 5/6:

25

----

36

The sqaure will be like this;

= 5/6 × 5/6

= 25/36

EASY!!

Answer: rotation

Step-by-step explanation:

The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.

So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:

A'(-3, 3 - 4) = A'(-3, -1)

B'(0, 4 - 4) = B'(0, 0)

C'(-3, 0 - 4) = C'(-3, -4)

Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).

So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).

To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

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Answer:

I believe the answer would be 30 people.

Step-by-step explanation:

To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.

Answer:

It is asking you what you would put as your statement for step 4.

Step-by-step explanation:

The answer by the way would be what you have clicked on - angle 1 + angle 4 = 180 degrees.

Answer:

  marked answer is correct

Step-by-step explanation:

The problem is asking you to choose an equation that should be written as statement 4 of the proof.

Statement 4 is an algebraic expression of the verbal statement 3. The marked response is correct. It expresses the relationship that is the definition of supplementary angles.

__

Often you can gain a clue in these proofs by looking at places that use similar reasons or similar statements. Lines 5 and 6 are the algebraic and verbal representations of the relation between angles 1 and 2. This matches lines 3 and 4, which are the verbal and algebraic representation of the same relationship between angle 1 anf 4.

The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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Answer:

1.9 feet = 19/10 feet = 1-9-10 feet

(I provided the answer as a regular number, as a mixed number, and as an improper fraction.  Feel free to use whichever feels best to you).

Step-by-step explanation:

We can find the remaining amount of string by subtracting the amount of string used from the total amount of string.

Since Jason used 2 2/5 feet of string and started with 4 3/10 feet of string, we subtract 2 2/5 from 4 3/10.

Step 1:  We can subtract improper fractions by subtracting the whole numbers and the fractions themselves.  Then, we can combine the result at the end:

(4 - 2) + (3/10 - 2/5)

2 - (5/50)

2 - 1/10

1.9

Step 2:  When we convert 1.9 into a mixed number, we get 1 9/10 (in the form you used, it's 1-9-10).

As a mixed number, it's 19/10

Answer:

So I would say when the number of classes is lower fishing is less expensive and when the number of canoeing classes is lower it's less expensive

Step-by-step explanation:

You have to make sure to pay attention to the label and the points in the graph and the table

Answer:

m = 3

Step-by-step explanation:

Gradient of a line is given by the formula

m= (y2-y1) /(x2-x1) which is change y divided by change in x

m = (-4-2)/(-2-0)

m = -6/-2

m = 3

Answer: the gradient is 3

Step-by-step explanation:

for a full explanation refer to the document and the ones written colorfully are the explanation. So, if you want just the workings they are the ones written in black.

and I drew an eye! Have a nice day!

Answer:

80

Step-by-step explanation:

Hope it helps! =D

Answer: 80

Step-by-step explanation: When rounding to the nearest 10, you need to examine the number you are trying to round. If the number has a 1's place that is 4 or lower, you round to 70, but if the 1's position is 5 to 9, you round to 80. In this case, 77 can be rounded to 80, since the 1's place number is between 5 and 9.

Hope this helps! :)

Sample: selected 50 adult residents by marketing research firm

In statistics  a data sample is a set of data collected and the world selected from a statistical population by a defined procedure and refers to a set of observations drawn from a population.  The elements of a sample are known as sample points or sampling units or observations. Often, it is necessary to use samples for research, because it is impractical to study the whole population.

To calculate the probability that all 50 residents in a particular neighborhood end up being the sample of residents selected, we need to consider the total population size and the number of residents in that neighborhood.

Let's assume there are N total adult residents in the suburb, and n residents in the particular neighborhood of interest. The probability of selecting all 50 residents from that neighborhood can be calculated using the hypergeometric distribution.

The probability can be calculated as follows:

P(all 50 residents from the neighborhood) = (nC50) / (NC50)

Where nC50 represents the number of ways to choose 50 residents from the neighborhood, and NC50 represents the number of ways to choose 50 residents from the entire population.

Here population:   resident of the city council in a suburb of Raleigh

Therefore, sample: selected 50 adult residents by marketing research firm.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

(0,-29) x = 0, y = -29

Step-by-step explanation:

Answer:

x= - 29 over 9 - 1 over 9y, y

Step-by-step explanation:

Question contains answer itself let's see how

x+y=-2

2x+y=1

See we are already given these two graphs .

The intersection point of both lines is the solution.

That's

Answer:

hi

Step-by-step explanation:

what is this?

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices. None of the options are correct.

To find the price at which sales are equal to Q=10, we need to substitute Q=10 into the inverse demand function P=342-190 and solve for P.

Let's start by substituting Q=10 into the inverse demand function:

P = 342 - 190 * Q

P = 342 - 190 * 10

P = 342 - 1900

P = -1558

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices.

Given the options provided (a, 18; b, 36; c, 152; d, 171), we can see that none of them match the calculated price of -1558.

Therefore, none of the options are correct.

It is important to note that the calculated price of -1558 may not be realistic or feasible in the context of the problem. It is possible that there may be some error or inconsistency in the information provided.

If you have any additional information or if there are any constraints or limitations mentioned in the problem, please provide them, and I will be happy to assist you further.

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The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

Answer:

7/16

Step-by-step explanation:

\(\dfrac78 \times \dfrac24=\dfrac{7 \times 2}{8 \times 4}=\dfrac{14}{32}=\dfrac{7}{16}\)

Answer: 1/3

Step-by-step explanation:

The probability of selecting a chocolate cream pie can be found by dividing the number of chocolate cream pies by the total number of pies:

Probability of selecting a chocolate cream pie = Number of chocolate cream pies / Total number of pies

Probability of selecting a chocolate cream pie = 4 / 12

Simplifying this fraction by dividing the numerator and denominator by 4 gives:

Probability of selecting a chocolate cream pie = 1/3

Therefore, the probability of selecting a chocolate cream pie from Annie's Pie Shop is 1/3.

Answer:

0 , 1 or infinitely many solutions

Step-by-step explanation:

Answer:

$9.98 :)

Step-by-step explanation:

just multiply the tax (0.085) by the price ($9.20) then add the initial price ($9.20) to that.

The range of values (lower bound, upper bound) that corresponds to this confidence interval is $144 to $158. The confidence interval is expressed in the form of "estimate ± margin of error.

What is the range of values (lower bound, upper bound) that corresponds to this confidence interval?

To determine the range of values (lower bound, upper bound) that corresponds to this confidence interval, we need to use the formula of confidence interval.

The general formula for the confidence interval of a population mean is: \text{CI}=\text{sample mean}±\text{margin of error}\ \left(\text{ME}=z\frac{\text{SD}}{\sqrt{\text{n}}}\right)

Where: CI is the Confidence IntervalSD is the Standard Deviationn is the sample sizeme is the Margin of Errorz is the z-score.

For a 95% confidence interval, the corresponding z-value is 1.96 (we use the z-value because we know the sample size is greater than 30).

Let’s substitute the known values into the formula.

\text{CI}=\text{sample mean}±\text{margin of error}$$$$\text{CI}=151±7$$

Lower bound of the confidence interval:

\text{CI}=151-7$$$$\text{CI}=144$$

Upper bound of the confidence interval:

\text{CI}=151+7$$$$\text{CI}=158

Thus, the range of values (lower bound, upper bound) that corresponds to this confidence interval is $144 to $158.

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The mistake made by Abby in solving the quadratic equation was at Step 2, in which she did not simplify her answer correctly.

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

The solutions are given by:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

In this problem, Abby substituted correctly, but at the simplification, she made a mistake in the signal, as:

\((-6)^2 - 4(5)(-8) = 36 + 160\)

Hence the mistake was in Step 2.

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Step 2 is not correct, she did not simplify under the square root correctly.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

5x² - 6x - 8 = 0

a = 5, b = -6 and c = -8

From the equation:

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2a} \\\\Step\ 1:x=\frac{-(-6) \pm \sqrt{(-6)^2-4(5)(-8)} }{2(5)} \\\\Step\ 2:x=\frac{6\pm \sqrt{36+160} }{10}\\\\Step\ 3: x=-0.8\ AND\ x=2\)

Step 2 is not correct, she did not simplify under the square root correctly.

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Answer: I know how to do this but I don't know how to do this one sorry

Step-by-step explanation:

Answer: 55 degrees / Acute angle.

Step-by-step explanation:

The angle is less than a right angle, bent forward so it's less than 90 degrees, meaning it's an acute angle.

Answer:

20%

Step-by-step explanation:

The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).

To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.

Step 1: Find two vectors in the plane.

Let's find two vectors by taking the differences between the given points:

Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)

Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)

Step 2: Find the normal vector.

The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:

Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)

Step 3: Write the equation of the plane.

Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:

n · (x, y, z) = n · (0, 6, 6)

Step 4: Simplify the equation.

Substituting the values of n and the chosen point, we have:

(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)

Simplifying further:

\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)

Therefore, the equation of the plane passing through the given points is:

\(36x + 36y + 36z = 432\)

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