An item was bought for £50. It was sold for £32. What was the percentage loss?
Please answer asap

Given that x has a value of 7 and y has a value of 20, the following will be displayed as a result of executing the code segment: if (x >= 3)if (y <= 20).

In the code segment, the first if statement checks if x is greater than or equal to 3.

Since the value of x is 7 which is greater than 3, the statement is true and the code proceeds to the next if statement.

The second if statement checks if y is less than or equal to 20. Since the value of y is 20 which is equal to 20, the statement is also true and therefore, "One" will be printed as the output if the code is executed.

If the first if statement is true but the second if statement is false, then "Two" will be printed as output.

If both if statements are false, then "Three" will be printed as output.

The code segment is written in such a way that the second if statement is only executed if the first if statement is true.

Similarly, the else statement following the second if statement is only executed if the first if statement is true but the second if statement is false.

Lastly, the else statement following the first if statement is executed if the first if statement is false, irrespective of whether the second if statement is true or false.

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To minimize the function \(\(f(x, y) = x^2y\)\) subject to the constraint \(\(x^3 = y^2 + x^4\)\), we can use the method of Lagrange multipliers.

We introduce a Lagrange multiplier, \(\(\lambda\)\), and form the Lagrangian function:

\(\[L(x, y, \lambda) = x^2y + \lambda(x^3 - y^2 - x^4)\]\)

To find the critical points, we take the partial derivatives of \(\(L\)\) with respect to \(\(x\), \(y\), and \(\lambda\)\) and set them equal to zero:

\(\[\frac{\partial L}{\partial x} = 2xy + 3\lambda x^2 - 4\lambda x^3 = 0\]\[\frac{\partial L}{\partial y} = x^2 + 2\lambda y = 0\]\[\frac{\partial L}{\partial \lambda} = x^3 - y^2 - x^4 = 0\]\)

Solving these equations simultaneously gives us the critical point(s) of the function. However, to classify the critical point as a maximum or minimum, we need to use the second derivative test.

The second derivative test involves computing the Hessian matrix, which consists of the second-order partial derivatives of the Lagrangian function.

Evaluating the Hessian matrix at the critical point, we can determine its definiteness. If the Hessian matrix is positive definite, the critical point is a local minimum. If it is negative definite, the critical point is a local maximum. If it is indefinite, the critical point is a saddle point.

Unfortunately, without explicitly calculating the second derivatives and evaluating the Hessian matrix, it is not possible to determine the nature of the critical point in this case. Further computation is required to apply the second derivative test and classify the critical point as a maximum or minimum.

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Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

\(AL=\frac{\theta}{360}*2 \pi r\) and filling in:

\(8.73=\frac{\theta}{360}*(2)(3.14)(10)\) which simplifies to

\(8.73=\frac{62.8\theta}{360}\) which simplifies a bit more to

\(\frac{360(8.73)}{62.8}=\theta\) so

\(\theta=50.04\) degrees. That means that arc DE also measures 50.04 degrees.

Answer:

766?

Step-by-step explanation:

Answer and Step-by-step explanation:

Three Digit Number.

***

Second digit = Last digit

*xx

I multiplied 45 from numbers 1-23, with 22 being the maximum # to multiply to get a 3 digit number that is divisible by 45, and 3 being the minimum # to multiply to get a 3 digit number that is divisible by 45.

Now to check which number it is.

When you multiply 45 by 17, you get 765. This number is supposed to be 1 less than the riddle's number. It also has to have the last 2 digits be the same.

So, lets add one to 765 to see if we solved the riddle.

765 + 1 = 766

766 is the answer!

#teamtrees #PAW (Plant And Water)

I hope this helps!

For the given equation x⁸ + y⁸ + z⁵ = 6xyz, the value of partial derivatives are ∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz) and ∂z/∂y = (6xz) / (8y⁷ - 6xy)

To find the partial derivatives ∂z/∂x and ∂z/∂y for the equation x⁸ + y⁸ + z⁵ = 6xyz, we need to differentiate the equation with respect to x and y while treating y and z as constants.

Taking the partial derivative with respect to x (∂z/∂x), we differentiate each term separately:

8x⁷ + 0 + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)

Simplifying the equation, we get:

8x⁷ + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)

Now, let's take the partial derivative with respect to y (∂z/∂y):

0 + 8y⁷ + 0 (∂z/∂y) = 6xz + 6xy(∂z/∂y)

Simplifying further:

8y⁷ (∂z/∂y) = 6xz + 6xy(∂z/∂y)

To find the values of ∂z/∂x and ∂z/∂y, we need to isolate the partial derivatives:

∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz)

∂z/∂y = (6xz) / (8y⁷ - 6xy)

These equations give the partial derivatives of z with respect to x and y for the given equation x⁸ + y⁸ + z⁵ = 6xyz.

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To find the component form of the velocity of the airplane, we need to break down the velocity vector into its horizontal (x) and vertical (y) components.

Given that the airplane is flying 25 degrees west of north at 800 km/h, we can determine the horizontal and vertical components using trigonometry.

The vertical component (Vy) represents the velocity in the north direction, and the horizontal component (Vx) represents the velocity in the east direction.

To calculate Vy, we use the sine function:

Vy = V * sin(θ)

Vy = 800 * sin(25°)

To calculate Vx, we use the cosine function:

Vx = V * cos(θ)

Vx = 800 * cos(25°)

Therefore, the component form of the velocity vector is:

Velocity = (Vx, Vy) = (800 * cos(25°), 800 * sin(25°))

Calculating the values:

Vx ≈ 722.6 km/h

Vy ≈ 342.0 km/h

Hence, the component form of the velocity vector is approximately (722.6 km/h, 342.0 km/h).

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To find the point P on the line y=3x that is closest to the point (50,0), we need to use the formula for the distance between a point and a line. This formula is:

distance = |Ax + By + C| / sqrt(A^2 + B^2)

Where A, B, and C are the coefficients of the equation of the line in the form Ax + By + C = 0.

In this case, the equation of the line y=3x can be written as -3x + y = 0. So we have:

A = -3, B = 1, C = 0

Now we can plug in the values of (50,0) and solve for x and y to find the point P that is closest to it:

distance = |-3x + y| / sqrt((-3)^2 + 1^2)
distance = |-3x| / sqrt(10)

To minimize the distance, we need to minimize |-3x|. This occurs when x = 0. So the point P that is closest to (50,0) is the point (0,0).
To find the point P on the line y = 3x that is closest to the point (50, 0), we need to minimize the distance between P and (50, 0).

Let P(x, y) be a point on the line y = 3x. The distance between P and (50, 0) is given by the distance formula:

D = sqrt((x - 50)^2 + (y - 0)^2)

Since y = 3x, we can rewrite the distance formula as:

D = sqrt((x - 50)^2 + (3x)^2)

To minimize the distance, we can minimize the square of the distance (D^2), as it avoids dealing with the square root:

D^2 = (x - 50)^2 + (3x)^2

Now, we can find the derivative of D^2 with respect to x and set it to 0 to find the critical points:

d(D^2)/dx = 2(x - 50) + 2(3x)^2 * 6x = 0

Solve this equation to find the x-coordinate of the point P. Then, use y = 3x to find the corresponding y-coordinate. Finally, you'll have the coordinates of the point P that is closest to (50, 0).

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The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

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In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Answer:

The guy that answered above is correct I think. I'm on the test right now so I will comment when I know if it is or isn't but if you cannot see the answer the person above me shows, it's 25.8

Answer:

Reflection across x = -5

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.

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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."


The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.


To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.

In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.

The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.

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The missing fractions in the number line are

1. 1/7 2/7 3/7 4/7 5/7 6/7

2. 1/6 2/6 3/6 4/6 5/6

3. 2/8 5/8 7/8

Number lines are visual representations of numbers placed in a horizontal line, they are used to represent and compare real numbers and are commonly used in mathematics to help students develop an understanding of number relationships and operations.

the number line consists of evenly spaced points each of which is assigned a number

The missing fractions are filled by division.

In the division the number of spaces to fill plus the last forms the denominator (zero not inclusive). the numerator is the particular number counted

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

The probability of A appearing before B is \(\frac{4}{7}\).

To find the probability that TA < TB, we can use the fact that the probability of a certain pattern appearing in a sequence of coin flips is independent of the position in the sequence. In other words, the probability of A appearing at time n is the same as the probability of A appearing at time n+k for any k.

Using this fact, we can set up a system of equations to solve for the probability of TA < TB. Let p be the probability of A appearing before B, and q be the probability of B appearing before A. Then we have:

\(p = \frac{1}{2} + \frac{1}{2q}\)  (since the first flip can be either 0 or 1 with equal probability)
\(q= \frac{1}{4p} + \frac{1}{2q} + \frac{1}{4}\) (if the first two flips are 0, the sequence B has appeared; if the first flip is 1 and the second is 0, the sequence is neither A nor B and we start over; if the first flip is 1 and the second is 1, we have a new chance for A to appear before B)

Solving for p, we get:
\(p=\frac{4}{7}\)

Therefore, the probability of A appearing before B is \(\frac{4}{7}\).

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Answer:

I think the answer would be C

Step-by-step explanation:

Answer:

0.17 (rounded)

Step-by-step explanation:

There's only one way a 1 can appear on a number cube out of 6 possible sides. Thus, the theoretical probability of the number cube showing a 1 is 1/6, or 0.17 rounded.

Answer:

x= 7

Step-by-step explanation:

add (12x+1) and (5x-3) which becomes 17x-2 and then set that equal to 117 and solve. move the 2 to the right side of the equation which becomes 17x=119 and then divide 119 by 17 which x equals 7.

plug in 7 for x to make sure you get 117

Answer:

m < 16

Step-by-step explanation:

598 + 15.75m < 850

15.75m < 850 - 598

15.75m < 252

m < 16

Answer:

Step-by-step explanation:

area of square: 16

area of circle: 12.57

12.57/16 = x/100

x=78.56

Answer:

no solution

Step-by-step explanation:

The equation for a straight line has the conventional form y = mx + b, where m is the slope and b is the y-intercept. Since m and b's values are known,

y = 3x-2

The Slope Intercept Form Equation is what?

Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.

We therefore begin at the y-intercept (0,-2). It is known as a rise/run slope. As 3 = 3/1, we move up 3 and to the right to (1,1). The following tally is (4, 2), etc.

Remember that -3/-1 also equals 3, so if you have a graph with all four quadrants, you can move down 3 and left 1 to (-5, -1) and then again to (-8, -2), etc.

A straight line should pass through the points once you have graphed at least three of them.

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52° is your answer

Hope it helps

Answer:

d) 500 scoops

Step-by-step explanation:

looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.

Answer:

D

Step-by-step explanation:

Since each 2 years it goes up. A and B is incorerect. The answer has to be 402-597 so the only logically asnwer is D

pls tell if this helps

-8 + 7 = -1

so the answer would be:

-xy or -1xy

Answer:

-xy

Step-by-step explanation:

Add -8xy and 7xy= -xy

Hope this helped! :)

May i have brainliest!

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

\(A = \sqrt{s * (s - a) * (s - b) * (s - c)\)

This gives

\(A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)\)

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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