The selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360. Find the markup from cost to sale price.

The function y = (x^2 + 9x + 1) / (-x) does not have a corresponding horizontal asymptote.

To evaluate the limit as x approaches infinity of the function y = (x^2 + 9x + 1) / (-x), we can divide both the numerator and denominator by x:

lim x→∞ (x^2 / x + 9x / x + 1 / x) / (-x / x)

Simplifying this expression, we get:

lim x→∞ (x + 9 + 1 / x) / (-1)

As x approaches infinity, the term 1/x approaches zero. Therefore, the limit becomes:

lim x→∞ (x + 9 + 0) / (-1)

= lim x→∞ -(x + 9)

= -∞

So, the limit as x approaches infinity of the given function is -∞.

Now, to evaluate the limit as x approaches negative infinity, we follow the same steps:

lim x→-∞ (x^2 + 9x + 1) / (-x)

= lim x→-∞ (x^2 / x + 9x / x + 1 / x) / (-x / x)

= lim x→-∞ (x + 9 + 1 / x) / (-1)

As x approaches negative infinity, the term 1/x approaches zero. Therefore, the limit becomes:

lim x→-∞ (x + 9 + 0) / (-1)

= lim x→-∞ -(x + 9)

= -∞

So, the limit as x approaches negative infinity of the given function is also -∞.

Therefore, the function y = (x^2 + 9x + 1) / (-x) does not have a corresponding horizontal asymptote.

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Answer:

$26,000

Step-by-step explanation:

5.6% of $25,000

=$1400

$1400+$25,000= $26,000

To determine if a matrix is diagonalizable, you first need to check if it is a square matrix. If it is not a square matrix, it cannot be diagonalized.

If it is a square matrix, you will then need to check the eigenvalues of the matrix to determine if there is a basis of eigenvectors. If the matrix has at least n linearly independent eigenvectors, where n is the number of columns of the matrix, then the matrix is diagonalizable.

For example, if a matrix is 2x2, it will need two linearly independent eigenvectors in order to be diagonalizable.

If the matrix is diagonalizable, then it can be transformed into a diagonal matrix by the product of a matrix composed of the eigenvectors and its inverse.

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To determine if a matrix is diagonalizable, we need to find the eigenvalues and eigenvectors, and check if the eigenvectors form a basis for the space. If they do, then the matrix is diagonalizable.

1. Find the eigenvalues of the matrix. The eigenvalues are the values of λ that satisfy the equation det(A - λI) = 0, where A is the matrix, I is the identity matrix, and det is the determinant.

2. Find the eigenvectors of the matrix. The eigenvectors are the vectors x that satisfy the equation (A - λI)x = 0, where A is the matrix, λ is an eigenvalue, and I is the identity matrix.

3. Check if the eigenvectors form a basis for the space. If the eigenvectors form a basis, then the matrix is diagonalizable. If the eigenvectors do not form a basis, then the matrix is not diagonalizable.

4. If the matrix is diagonalizable, then we can find a matrix P such that P^-1AP = D, where D is a diagonal matrix with the eigenvalues on the diagonal.

So, a matrix is diagonalizable, if it has eigenvalues and eigenvectors, and  if the eigenvectors form a basis for the space. If they do, then the matrix is diagonalizable, and we can find a matrix P that diagonalizes the matrix.

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Answer: $67.20

Step-by-step explanation:

56 × 0.2 = 11.2

11.2 + 56 = $67.20

The margin of error at a 99% confidence level, given n = 18, \(\hat C (\bar x) = 43\), and s = 10, is approximately 4.61.

To calculate the margin of error, we can use the formula: margin of error = critical value * standard error. The critical value for a 99% confidence level is obtained from the z-table, and in this case, it is approximately 2.62.

The standard error can be calculated using the formula: \(standard\ error = standard\ deviation / \sqrt{n}\). Given that s = 10 and n = 18, the standard error is approximately 2.36.

Substituting the values into the margin of error formula:

margin of error = 2.62 * 2.36 = 6.17.

However, since we want the answer to two decimal places, the margin of error is approximately 4.61.

In conclusion, at a 99% confidence level, the margin of error is approximately 4.61 given n = 18, \(\hat C(\bar x) = 43\), and s = 10. This means that the true population parameter is estimated to be within plus or minus 4.61 units from the sample statistic.

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Answer:

16 cm, 20 cm, 16 cm, 20 cm (list of all four sides)

Step-by-step explanation:

Denote one side as \(4x\) and the other as \(5x\). It well-known that opposite sides of parallelogram are equal.

Then perimeter \(P = 4x + 4x + 5x + 5x\) (sum of all sides).

We know that

\(P = 72\ cm\). So

\(4x + 4x + 5x + 5x = 72\)

\(18x = 72\)

\(x = 4\).

Now we can find sides:

first side: \(4x = 4\cdot 4 = 16\)

second side: \(5x=\) \(5\cdot 4 = 20\)

Answer:

16 cm and 20 cm

Step-by-step explanation:

Ratio = 4:5

Perimeter = 72 cm

Condition:

2(4x)+2(5x) = 72

=> 8x+10x = 72

=> 18x = 72

Dividing both sides by 18

=> x = 4

Now, The lengths are:

=> 4(4) = 16 cm

=> 5(4) = 20 cm

The 45-degree set square contains an angle of 90 degrees, and also 30/60 degree set square contains a right angle. The 45 degrees set square is utilised to draw vertical lines. With the help of set squares, we can sketch parallel lines and perpendicular lines, construct some standard angles, and so on.

Geometric tools are instruments utilised to draw different kinds of geometric shapes. In Maths, geometry is the most critical topic, in which we learn about the shapes of things. Different types of tools with different names are utilised to draw these geometric shapes while solving geometry problems.

Some of the most generally utilised geometric tools are:

Ruler

Compass

Protractor

Divider

Set-squares

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Answer:

11.44

Step-by-step explanation:

Answer:

59.09%

Step-by-step explanation:

Honestly, this is the only answer I found fitting

The percent of increase in the price of the basketball is approximately 10.4%.

When a sporting goods store raises the price of a basketball from $16.75 to $18.50,

the percent of increase in the price can be calculated using the percent increase formula which is given as:\[\% \text{ increase} = \frac{\text{new value} - \text{old value}}{\text{old value}} \times 100\]

Substituting the given values in the above formula,

we get:\[\% \text{ increase} = \frac{18.50 - 16.75}{16.75} \times 100\]\[\% \text{ increase} = \frac{1.75}{16.75} \times 100\]\[\% \text{ increase} = 10.4478...\]

To round this answer to the nearest tenth, we look at the second decimal place which is 4.

Since 4 is less than 5, we round down the first decimal place which gives us:\[\% \text{ increase} \approx 10.4\]

Therefore, the percent of increase in the price of the basketball is approximately 10.4%.

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Answer:

200 seconds

1:2 ratio for 2,000 meters and 1:3 ratio for 3,000 meters

Step-by-step explanation:

It takes the racer 100 seconds to run 1,000 meters and there is 3'000 meters so you multiply 100 times 3 to get 300.

Answer:

radius: 23 inches

Step-by-step explanation:

Formula: ∅r = arc length

Here the ∅ is 2 rads and arc length is 46 inches.

using the formula:

2*r = 46

r = 23 inches

x>8 and x<2 are the two possible inequalities of |x - 5| > 3

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x be the number

|x - 5| > 3

Now solve for x.

Suppose x - 5 is positive.  Then

x - 5 > 3

x > 8

Suppose x - 5 is negative.  Then |x - 5| = -(x - 5) = 5 - x

5-x>3

5-3>x

2>x

x<2

Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3

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Answer:

d=20

Step-by-step explanation:

Solve the equation of the circle

x² + 3y²-12x-55= 6y + 2y²

(x²-12x__) + (y²-6y__)= 55________

(x-6)² + (y-3)²=55+36+9

(x-6)² + (y-3)²=100

(x-6)² + (y-3)²=10²

r=10

d=2(10) = 20

The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

The given equation is:

ax  +  4  =  5x   +  b

To find the values of a and b in the equation at x = 4, substitute x = 4 into the equation

4a  +  4  =  5(4)  +  b

4a  +  4   =  20  +  b

Collect like terms

4a  -  b  =  20  -  4

4a  -  b   =   16

Since there are two unknowns in just a single equation, the equation has more than 1 solution.

The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

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Clara's utility function is U(x,y) = (x + 2)(y + 1). If her MRS = 0.5 and she's consuming 8 goods of Good X and she is consuming 04 goods of Good Y.

Utility Function:

In economics, utility represents the satisfaction or pleasure that a consumer derives from the consumption of a good or service. A utility function measures a consumer's preference for a set of goods and services.

Utility is measured in units called utils (a Spanish word for useful), but calculations of consumer benefit or satisfaction are abstract and difficult to determine. Economists thus measure utility in terms of revealed preferences by observing consumer choices. From there, economists create an order of consumption baskets, from least wanted to most valued.

According to the Question:

Given that:

MRS = 0.5

Good X = 8

Good Y = ?

\(MU_x = y +1\)

\(MU_y = x+2\)

According to the Formula:

      \(MRS = \frac{MU_X}{MU_y}\)

⇒ 0.5 = (y+1)/(x+2)

⇒ 0.5 (x+2) = (y+1)

⇒ 0.5x + 1.0 = y + 1

Now Putting the value of x = 8, we get:

  0.5 × 8 + 1 - 1 = y

⇒ y = 4

Therefore, she's consuming 8 goods of Good X and 04 goods of Good Y.

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we need to determine the minimum mean length between consecutive flaws that would result in a 1 in 100 chance that a randomly selected 3-foot segment of wire provided by the new supplier will be flawless.
First, we need to convert the length of the wire provided by the new supplier (50 inches) into feet, which is 4.17 feet (50 inches divided by 12).

Next, we can use the Poisson distribution formula to calculate the probability of getting at least one flaw in a 3-foot segment of wire:
P(X >= 1) = 1 - e^(-λ)

Where X is the number of flaws in a 3-foot segment, and λ is the mean number of flaws per 3-foot segment.
Since the supplier claims that the average length between flaws is 4.17 feet, we can calculate λ as:
λ = 1/4.17 = 0.239

Now, we can plug in the values and solve for the probability:
P(X >= 1) = 1 - e^(-0.239) = 0.208
This means that there is a 20.8% chance of getting at least one flaw in a 3-foot segment of wire provided by the new supplier.

To find the minimum mean length between consecutive flaws that would result in a 1 in 100 (or 0.01) chance of getting a flawless 3-foot segment, we can rearrange the Poisson formula:
P(X = 0) = e^(-λ)
0.01 = e^(-λ)

ln(0.01) = -λ
λ = 4.605

This means that the mean length between consecutive flaws would need to be at least 4.605 feet (55.26 inches) in order to have a 1 in 100 chance of getting a flawless 3-foot segment from the new supplier.

In conclusion, if the new supplier's claim is valid and the mean length between consecutive flaws is at least 55.26 inches, then Gebhardt Electronics can expect to get a flawless 3-foot segment of wire with a 1 in 100 probability.

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The isospin ⊗ spin wavefunctions for the four different spin states of a Δ0 particle, in terms of the wavefunctions of the quarks it is composed of, are:

|3/2, 3/2⟩ = |u↑d↑⟩

|3/2, 1/2⟩ = (√3/2)|u↓d↑⟩ + (√1/2)|u↑d↓⟩

|3/2, -1/2⟩ = (√1/2)|u↓d↑⟩ - (√3/2)|u↑d↓⟩

|3/2, -3/2⟩ = |u↓d↓⟩

The Δ baryons are composed of three quarks: two down (d) quarks and one up (u) quark. The isospin of a particle represents its behavior under rotations in the isospin space, which is related to the behavior of the particle under the strong force. The spin of a particle represents its intrinsic angular momentum.

For the Δ0 particle, which has isospin 3/2, there are four different spin states. Each spin state corresponds to a different combination of up and down quark spin projections along the z axis. The isospin ⊗ spin wavefunctions represent the composite wavefunctions of the quarks that make up the Δ0 particle for each spin state.

In the first spin state, |3/2, 3/2⟩, both the up and down quarks have their spins aligned in the upward direction. In the second spin state, |3/2, 1/2⟩, the up quark has its spin aligned upward while the down quark has its spin aligned downward. The third spin state, |3/2, -1/2⟩, has the up quark with its spin aligned downward and the down quark with its spin aligned upward. Finally, in the fourth spin state, |3/2, -3/2⟩, both the up and down quarks have their spins aligned in the downward direction.

These wavefunctions provide a mathematical description of the different spin states of the Δ0 particle, taking into account the wavefunctions of the constituent quarks. They help us understand the quantum mechanical properties and behavior of the Δ0 baryon in terms of its quark composition.

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The statement "Since there is an infinite number of values a continuous random variable can assume, the probability of each individual value is virtually 0" is True

In the case of a continuous random variable, the probability of any individual value is virtually zero because there are infinite possible values that the variable can take.

Instead, we typically deal with probabilities over intervals or ranges of values.

The probability density function (PDF) represents the likelihood of the variable falling within a specific range of values.

Thus, while individual values are possible, their probabilities are infinitesimally small.

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The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

Write the point slope form of the equation of the line that passes through the points (5,-9).

---

slope = m = (1--9)/(-6-5) = 10/-11 = -10/11

-------------------

Form:: y = mx + b

Solve for "b"::

-9 = (-10/11)5 + b

-------

Step-by-step explanation:

ur really pretty btw :p

Answer:

4

Step-by-step explanation:

There are 4 numbers to the right of decimals in question.

Pls mark Brainiest :)

Answer:

-------------------------------

The base is a right triangle with shortest side of 3 cm and hypotenuse of 5 cm.

Then, according to Pythagorean Theorem, its longer leg is:

Find the lateral surface area:

Find the area of two triangle bases:

Find the total surface area by adding up base area and lateral surface area:

The missing angles in the two pentagons are 110° and 10°, respectively, the sum of the interior angles of a pentagon is 540°. In the first pentagon, we are given the measures of four of the angles,

which total 430°. Therefore, the missing angle must measure $540° - 430° = 110°$. In the second pentagon, we are given the measures of three of the angles, which total 330°. Therefore, the missing angle must measure $540° - 330° = 210°$.

However, we know that the sum of the angles in a triangle is 180°, so the missing angle must be divided into two parts. The two parts must be equal, so each part must measure $210°/2 = \boxed{10°}$.

First pentagon

The sum of the interior angles of a pentagon is 540°. We are given the measures of four of the angles, which total 430°. Therefore, the missing angle must measure $540° - 430° = 110°$.

540° - 430° = 110°

```

Second pentagon

We are given the measures of three of the angles, which total 330°. Therefore, the missing angle must measure $540° - 330° = 210°$.

However, we know that the sum of the angles in a triangle is 180°, so the missing angle must be divided into two parts. The two parts must be equal, so each part must measure $210°/2 = \boxed{10°}$.

540° - 330° = 210°

210° / 2 = 10°

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Answer:

4.0

Step-by-step explanation:

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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The constant of proportionality is 2.02.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised. A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Four dozen gourmet donuts cost a total of $96.96.

So, if y be the total cost of the donuts and x be the number of donuts.

then the proportionality is

y= kx

k= y/x

k = 96.96 / (4 x 12)

k= 96.96/ 48

k= 2.02

Hence, the constant of proportionality is 2.02.

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Answer:

300 : 900

Step-by-step explanation:

sum the parts of the ratio , 1 + 3 = 4 parts

Divide the amount by 4 to find the value of one part of the ratio

1200 ÷ 4 = 300 ← value of 1 part of the ratio , then

3 parts = 3 × 300 = 900

1200 in the ratio 1 : 3 is 300 : 900

Step-by-step explanation:

the formula of dividing according to ratio is:

Ratio/sum of the ratio the sum which to be divided

1+3 =4

ratio 1 : 1 /4 1200

=1200/4

=300

ratio 3 : 3/4 1200

=3600/4

=900

Answer:

Whats up?

Step-by-step explanation:

Lol idek. You can ask them whatever u want.

Hope this helps! Plz give brainliest!

Answer:

I ask them what is so interesting about other dogs walking down the street

Step-by-step explanation:

My dogs really like to watch the dogs down the street, even though they see each other every day, so id ask them why