if y varies directly with x, and y= -20 and x=5, what is x when y = -24​

Answer:

720

Step-by-step explanation:

\(\frac{n!}{(n-r)!}\)

\(\frac{10!}{(10-3)!}\)

\(\frac{10!}{7!}\)

720

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

the second one

Step-by-step explanation:

The table that represents a linear function is the first one, where the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The first table:

x: 1,2,3,4,5

y: 5,20,45,80,125

In this table, the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The relationship between x and y is consistent and can be expressed by the equation y = 5x, which is a linear function.

The second table:

x: 1,2,3,4,5

y: 5,25,125,625,3125

In this table, the values of y are obtained by raising the corresponding values of x to increasing powers of 5.

The relationship between x and y is not consistent and cannot be expressed by a linear function.

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer: A. 83.7

Step-by-step explanation:

Answer:

a) 83.7

Step-by-step explanation:

Q) 18.6 × 4.5 = ?

→ 18.6 × 4.5

→ 83.7

So, option (a) is correct.

If Caroline has 6.8 L of lemonade to serve 20 people. Caroline can pour 340 milliliters of lemonade into each glass.

To find out how many milliliters of lemonade Caroline can pour into each glass, we need to convert the volume of lemonade from liters to milliliters and then divide it equally among the 20 guests.

1 liter is equal to 1000 milliliters. So, Caroline has 6.8 L * 1000 mL/L = 6800 mL of lemonade.

To divide it equally among 20 guests, we divide the total volume of lemonade by the number of guests:

6800 mL / 20 = 340 mL.

Therefore, Caroline can pour 340 milliliters of lemonade into each glass.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

249.66 lb the aquarium weighs when it is full of water.

To solve this problem, we need to find the volume of the water in the aquarium and then multiply it by the weight of water per cubic inch.

The volume of the water in the aquarium can be found using the formula:

V = lwh

where l = length, w = width, and h = height.

Substituting the values given in the problem, we get:

\(V = (30 in)(14 in)(18 in)\\\\V = 7,560 cubic inches\)

Now, to find the weight of the water in the aquarium, we can multiply the volume by the weight of water per cubic inch:

weight of water = V × weight per cubic inch

weight of water = 7,560 cubic inches × 0.036 lb/cubic inch

weight of water = 272.16 lb

Therefore, the aquarium weighs 22.5 lb when empty and 272.16 lb when it is full of water, so the weight of the water in the aquarium is:

272.16 lb - 22.5 lb = 249.66 lb

Therefore, the aquarium weighs 249.66 lb when it is full of water.

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Answer:

\(r^4 * r^3\\r^7\)

Answer:

line parallel to y = 4x + 14

y = 4x − 6

Step-by-step explanation:

thanks

Answer:

The answer is G

If you do the line trick you only get 1 interception on the line each time.

After answering the prοvided questiοn, we can cοnclude that As a result, equatiοn the range οf the relatiοnship 3x + y = 3 is 9, -3, -9.

An equatiοn is a statement in mathematics that states the equality οf twο expressiοns. An equatiοn has twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine which variable(s) must be changed in οrder fοr the equatiοn tο be true.

Simple οr cοmplicated equatiοns, regular οr nοnlinear equatiοns, and equatiοns with οne οr mοre factοrs are all feasible. In the equatiοn "x² + 2x - 3 = 0," fοr example, the variable x is raised tο the secοnd pοwer. Lines are used in a variety οf mathematical disciplines, including algebra, calculus, and geοmetry.

Tο determine the range οf the relatiοnship 3x + y = 3, we must first sοlve fοr y in terms οf x:

3x + y = 3

y = 3 - 3x

We can nοw use the given x values in the equatiοn tο find the cοrrespοnding y values:

When x = -2:

y = 3 - 3(-2) = 9

When x = 2:

y = 3 - 3(2) = -3

When x = 4:

y = 3 - 3(4) = -9

As a result, the range οf the relatiοnship 3x + y = 3 is 9, -3, -9.

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Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

Answer:

The hourly drop between the two times is 1/40

Step-by-step explanation:

Firstly, we need to find the difference in time between 9 pm and 6:36 am

That would be 9 hours and 36 minutes

It would be needed to convert 36 minutes to hours

Mathematically, 60 minutes = 1 hour

So 36 minutes = (36 * 1)/60 = 36/60 = 0.6

So the difference between the two time is simple 9.6 hours

So the total drop during the time is given by 6/25

So the hourly drop will be 6/25 divided by 9.6

= 6/25 * 1/9.6 = 6/240 = 1/40

Answer:

A right triangle

Step-by-step explanation:

The angle of 90 degrees is a right angle

When t and p-values seem incorrect, it may be due to different reasons. In most cases, it is either the data or the statistical software that is being used that is incorrect. It is important to double-check the data and the statistical software in order to understand the reason why the t and P-values seem incorrect.

There are different reasons why the t and P-values may seem incorrect. The following are some of the reasons why the t and P-values may seem incorrect:1. Wrong data entry:Incorrect data entry could result in wrong t and P-values. This means that if data is incorrectly entered, the t and P-values will be incorrect. It is important to check the data for accuracy before conducting any analysis.2. The presence of outliers:If there are outliers in the data, they can affect the results of the analysis, including the t and P-values. In this case, it is important to examine the data for outliers and remove them if necessary.

Inappropriate statistical software:Using inappropriate statistical software can also lead to incorrect t and P-values. If the software used does not correspond to the type of data being analyzed, the results may be incorrect.4. Small sample size:With a small sample size, the t-value and P-value may not accurately reflect the true nature of the data. In this case, a larger sample size is required.5. Violation of statistical assumptions:When statistical assumptions are violated, the t and P-values may seem incorrect.

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If there are 100 cows in this dairy, it requires a total of 32000 L of water daily to operate the dairy. According to the U.S. Department of Agriculture, the average dairy cow can consume up to 200 L of water daily.

An additional 120 L per cow per day is required to wash the milking equipment and milking area. So, in total, a single cow requires 320 L of water per day. For instance, suppose there are 100 cows in this dairy.

To determine the total quantity of water required for the day, multiply the amount of water needed per cow by the number of cows:100 cows × 320 L/cow = 32000 L

Therefore, if there are 100 cows in this dairy, it requires a total of 32000 L of water daily to operate the dairy.

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Answer:

13

Step-by-step explanation:

5 (2x - 8) = 90

5 × 2x - 8 = 90

2x - 8 = 90 ÷ 5

2x - 8 = 18

2x = 18 + 8

2x = 26

2x/2 = 26/2

x = 13

13 is the answer to the question.

The change in potential energy of the pair of charges is approximately -3.997 J.

To calculate the change in potential energy of the pair of charges, we can use the formula:

ΔU = U_f - U_i

where ΔU is the change in potential energy, U_f is the final potential energy, and U_i is the initial potential energy.

Since the first charge is stationary, its potential energy does not change. Therefore, the initial potential energy (U_i) is zero.

The potential energy (U_f) of the second charge can be calculated using the formula:

U_f = k * (q1 * q2) / r

where k is the electrostatic constant (k = 8.99 x 10^9 N m^2/C^2), q1 is the charge of the first particle (+2.40 μC), q2 is the charge of the second particle (-4.30 μC), and r is the distance between the charges.

First, we need to calculate the distance between the two points. Using the distance formula:

r = √[(x2 - x1)^2 + (y2 - y1)^2]

where (x1, y1) are the coordinates of the first point (0.140 m, 0) and (x2, y2) are the coordinates of the second point (0.230 m, 0.230 m).

Plugging in the values:

r = √[(0.230 - 0.140)^2 + (0.230 - 0)^2]

r = √[(0.09)^2 + (0.230)^2]

r = √[0.0081 + 0.0529]

r = √0.061

r ≈ 0.247 m

Now we can calculate the final potential energy (U_f):

U_f = (8.99 x 10^9 N m^2/C^2) * ((2.40 x 10^-6 C) * (-4.30 x 10^-6 C)) / 0.247 m

U_f ≈ -3.997 J (Joules)

Therefore, the change in potential energy (ΔU) is:

ΔU = U_f - U_i

ΔU = -3.997 J - 0 J

ΔU ≈ -3.997 J (Joules)

Now let's calculate the work done by the electric force on q2.

The work done (W) by the electric force can be calculated using the formula:

W = ΔU = U_f - U_i

Since the initial potential energy (U_i) is zero, the work done is equal to the change in potential energy (ΔU):

W ≈ -3.997 J (Joules)

Therefore, the work done by the electric force on q2 is approximately -3.997 J.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Therefore, \(x^{2}\) + 3 x -5 = 0 ,\(x^{2}\) - x =0 and 7 \(x^{2}\) + 14 x = 0  are quadratic equation.

Equation: a claim that two expressions with variable- and/or number-filled expressions are equivalent. Mathematical development has been sparked by the desire to find solutions to equations, which are really just questions.

Here,

Given:

\(x^{2}\) + 3 x -5 = 0

\(x^{2}\) - x =0

3 x + 7 .5 x - 7 = 0

7 \(x^{2}\) + 14 x = 0

\(x^{3}\)- 3 x2 + 1 = 0

x - 5 = 9 x + 7

The \(x^{2}\) is present in equation which are quadratic

thus,

\(x^{2}\) + 3 x -5 = 0

\(x^{2}\) - x =0

7 \(x^{2}\) + 14 x = 0

these following above equations are quadratic equation .

Therefore, \(x^{2}\) + 3 x -5 = 0 ,\(x^{2}\) - x =0 and 7 \(x^{2}\) + 14 x = 0  are quadratic equation.

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The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.

The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.

On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.

Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.

Graph A has a slope of -1/3 and the shaded part is above the boundary line.

Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.

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A system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased include the following:

s + l = 15

12s + 18l = 240.

In order to write a system of linear equations could be used to model and determine the number of small boxes purchased and the number of large boxes purchased, we would assign variables to the number of small boxes that were purchased, the number of large boxes that were purchased, and the total number of boxes respectively as follows:

Translating the word problem into an algebraic equation, we have the following;

Since each small box has 12 granola bars and each large box has 18 granola bars, we have:

12s + 18l = 240.

For a total of 15 boxes altogether, we have:

s + l = 15

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Answer:

See below ~

Step-by-step explanation:

Blue inequality

Red Inequality

Answer:

See below

Step-by-step explanation:

Find the equation of the blue line....the blue shaded area is LESS than or EQUAL to this SOLID line

Blue line =    y = -x+4        so   y <= -x+4

Red line  =    y = 1/4 x              y > 1/4x     (dotted line says line is not included so the inequality is >   NOT ≥   )

Answer:

B

Step-by-step explanation:

Given

5 \(\frac{11}{40}\)

= \(\frac{5(40)+11}{40}\)

= \(\frac{200+11}{40}\)

= \(\frac{211}{40}\) → B

The probability of being dealt in a queen is 1/13.

To find the probability:

Therefore, the probability of being dealt in a queen is 1/13.

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Answer:

the answer  is 8

Step-by-step explanation:

yes Ezra can plant 8 sunflowers

hope this helpsss :)