Which graph represents (y-3)^2/25 + (x+1)^2/4 > 1 and y <= square root{x+5}+2

Answer:

11

Step-by-step explanation:

We know that in order to work out the area of rectangle we have to apply the formula length × width. In this scenario we are given the area and the length and we are asked to find the width so,

Area of a rectangle = Length × Width

→ Substitute in the values

88 = 8 × Width

→ Divide both sides by 8 to isolate the width

11 = Width

Answer:

11 - width

Step-by-step explanation:

To find the area of a rectangle, this is the formula:

area = length × width

So to find the width you need to rearrange the formula to make:

Width= length / area

8 / 88 = 11

/ = divide

Answer:

Q is not a function

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is due 100.I ain't seeing any question

Answer: 56% of them

Step-by-step explanation:

The best statement that explains how the author develops the points of view of Samantha and Melinda is option 2.

The author uses a flashback to show why Samantha is worried about Melinda's idea for the project. By incorporating a flashback, the author provides background information on the two characters and their relationship. The flashback allows the reader to understand why Samantha is concerned about Melinda's project idea and gives insight into their past interactions. This method of development allows the author to create a more well-rounded understanding of the characters and their motivations. Additionally, the use of physical details and dialogue further adds to the development of the characters' perspectives and personalities. However, the use of foreshadowing does not seem to be present in the given information and is not relevant to the question.

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It is shown that if a parallelogram's diagonals are perpendicular, the parallelogram is a rhombus.

A parallelogram is a quadrilateral with two parallel sides (and therefore opposite angles equal).

A rhombus is a quadrilateral with all of its sides equal. Because opposite sides of a parallelogram are equal, a rhombus is a type of parallelogram in which all sides are equal.

We must demonstrate that if the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

Let ABCD be a  parallelogram .

Consider Δ AOD and Δ COD

Since, a parallelogram's diagonals bisect each other we can say that,

AO = CO

∠AOD = ∠COD = 90°

DO = OD

Δ AOD ≅ Δ COD [SAS rule]

∴ AD = CD

Because the parallelogram's adjacent sides are equal, we can conclude that all four sides are equal.

As a result, it is demonstrated that if the diagonals of a parallelogram are perpendicular, the parallelogram is a rhombus.

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Let's solve your inequality step-by-step.

x+25>50

Step 1: Subtract 25 from both sides.

x+25−25>50−25

x>25

Answer:

x>25

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1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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Answer:

7

Step-by-step explanation:

35 / 5 = 7

Answer:

7 = 35 cars/5 rows= 7 cars per row

The eICU waiting time data consists of 40 patient wait times in minutes. The mean wait time is 43.3, there is no comparison given, mode is 42, and first and third quartiles are 41 and 45 respectively.

a. To compute the mean waiting time for the 40 patients, we need to add up all the waiting times and then divide by the total number of patients. The mean waiting time can be calculated as follows:

(40 + 45 + 42 + 49 + 49 + 43 + 55 + 42 + 44 + 40 + 46 + 45 + 46 + 41 + 40 + 42 + 43 + 40 + 45 + 37 + 49 + 38 + 41 + 48 + 42 + 41 + 42 + 49 + 61 + 39 + 44 + 51 + 45 + 42 + 43 + 41 + 40 + 43 + 37 + 43) / 40 = 44.5 minutes

So the mean waiting time for the 40 patients is 44.5 minutes.

b. To compare the mean waiting time, we would need a reference point, such as the average waiting time for similar patients in a different hospital, or the target waiting time set by the hospital or healthcare organization. Without this information, we cannot make a comparison.

c. To compute the mode, we need to find the value that occurs most frequently in the data set. The mode of the waiting times is 42 minutes, as it occurs the most (3 times).

d. To compute the first and third quartiles, we need to order the data set from smallest to largest and then find the values that correspond to the 25th and 75th percentiles. The first quartile (Q1) represents the 25th percentile and the third quartile (Q3) represents the 75th percentile. The formula for finding the quartiles is as follows:

Q1 = (n + 1) / 4 * (th) value

Q3 = (3n + 3) / 4 * (th) value

Where n is the number of values in the data set and th value represents the th ordered value.

So for the 40 waiting times, Q1 can be calculated as follows:

Q1 = (40 + 1) / 4 * (10th) value = 10.25th value = 41 minutes

And Q3 can be calculated as follows:

Q3 = (3 * 40 + 3) / 4 * (30th) value = 30.75th value = 46 minutes

So the first quartile (Q1) is 41 minutes and the third quartile (Q3) is 46 minutes.

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Complete question is in the image attached

Answer:

-12m - 9

Step-by-step explanation:

-3(4m+3)

-12m - 9

So, the answer is -12m - 9

Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

Answer:

-2r+8

Step-by-step explanation:

Answer: 0.11 cents a message

Step-by-step explanation:

Total of texts: 40

Total cost: $4.40

4.40/40

= 0.11

To find the maximum profit, we can look for the vertex of the parabolic function representing the profit.

The given profit function is:

\(Z = -3x^2 + 12x + 25\)

We can see that the coefficient of the \(x^2\) term is negative, which means the parabola opens downwards. This indicates that the vertex of the parabola represents the maximum point.

The x-coordinate of the vertex can be found using the formula:

\(x = \frac{-b}{2a}\)

In our case, a = -3 and b = 12. Plugging these values into the formula, we get:

\(x = \frac{-12}{2 \cdot (-3)}\\\\x = \frac{-12}{-6}\\\\x = 2\)

To find the maximum profit, we substitute the x-coordinate of the vertex into the profit function:

\(Z = -3(2)^2 + 12(2) + 25\\\\Z = -12 + 24 + 25\\\\Z = 37\)

Therefore, the maximum profit is 37.

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If Alex sells 30 bracelets in the first month and increases her sales by 6 bracelets each month, she will sell a total of 360 bracelets in the first 12 months.

To determine the total number of bracelets Alex will sell in the first 12 months, we can use a simple arithmetic progression. Alex sells 30 bracelets in the first month, and her goal is to sell 6 more bracelets each subsequent month. This means that in the second month, she will sell 30 + 6 = 36 bracelets. In the third month, she will sell 36 + 6 = 42 bracelets, and so on.

We can observe that the number of bracelets sold forms an arithmetic sequence with a common difference of 6. To find the total number of bracelets sold in the first 12 months, we can sum the terms of this arithmetic sequence. Using the formula for the sum of an arithmetic series, which is Sn = (n/2)(2a + (n-1)d), where a is the first term, d is the common difference, and n is the number of terms, we can calculate the total number of bracelets sold.

In this case, a = 30 (the first term), d = 6 (the common difference), and n = 12 (the number of terms). Substituting these values into the formula, we get Sn = (12/2)(2(30) + (12-1)(6)) = 6(60 + 11*6) = 360.

Therefore, Alex will sell a total of 360 bracelets in the first 12 months if she meets her goal of selling 6 more bracelets each month than the previous month.

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To find the set of parametric equations for the rectangular equation y = 3x - 4, we need to express x and y in terms of a parameter, say t. Let us assume that t = 0 at the point (4, 8).

First, we can write x in terms of t as x = 4 + at, where a is some constant. To find the value of a, we can use the fact that y = 3x - 4. Substituting x = 4 + at in this equation, we get y = 3(4 + at) - 4 = 12 + 3at. So, the set of parametric equations for y and x are:

x = 4 + at
y = 12 + 3at

Note that these parametric equations are not unique. We could have chosen a different parameterization, say t = 1 at the point (4,8), and obtained a different set of parametric equations. However, the given condition specifies the starting point and therefore determines the parameterization.

In summary, we can find a set of parametric equations for a rectangular equation by expressing x and y in terms of a parameter, using the given condition to determine the starting point, and choosing a suitable parameterization.

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Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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Answer:

C

Step-by-step explanation:

Using the explicit formula, then

a₅ = 50 × \((-2)^{4}\) = 50 × 16 = 800 → C

Answer:

800)

Step-by-step explanation:

To express the given system of differential equation as an almost linear system, we need to find the partial derivatives of the given functions with respect to x and y.

∂f/∂x = -ex
∂f/∂y = 2
∂g/∂x = -1
∂g/∂y = -4cosy

Now, substituting these values in the general form of an almost linear system,

x′(t) = ax + by + r(x,y)
y′(t) = cx + dy + s(x,y)

we get,

x′(t) = -ex + 2y
y′(t) = -x - 4cosy

So,

a = -e, b = 2, c = -1, d = 0

At the critical point (0,0), the Jacobian matrix is

J(0,0) = ⎡⎣⎢⎢⎢-1 2⎤⎦⎥⎥⎥

The eigenvalues of this matrix can be found by solving the characteristic equation,

det(J - λI) = 0

where I is the identity matrix of the same size as J.

det ⎡⎣⎢⎢⎢-1-λ 2⎤⎦⎥⎥⎥ = (-1-λ)(-λ) - 2(2) = λ^2 + λ - 4

Using the quadratic formula, we get the eigenvalues as

λ1 = (-1 + sqrt(17))/2 ≈ 0.56
λ2 = (-1 - sqrt(17))/2 ≈ -2.56

Since the eigenvalues have opposite signs, the critical point is a saddle.

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Answer: Percent increase = 2.49%

Explanation:

Percent increase = increase/initial amount x 100

From the information given,

initial price = 341300

New price = 349800

Increase = 349800 - 341300 = 8500

Percent increase = 8500/341300 x 100

Percent increase = 2.49%

Answer:

Answer is 21

Step-by-step explanation:

if you multiply 5 x 4=20 and + 1 is 21

Assuming a 40-hour workweek, 55000 per year would be approximately 26.44per hour.

Subtract 55000 from 52, the number of weeks in a year, and you get 1057.69. Subtract 1057.69 from 40, the number of hours in a workweek, to get 26.44.To the nearest dollar, round up: 26.44 = 27 Calculating how much an individual would make per hour with a yearly salary of $55,000 is a fairly straightforward process. Divide the annual income of $55,000 by the 52 weeks that make up a year. As a result, we get a score of 1057.69. After that, divide this number by the 40 hours that make up a workweek. As a result, we get a score of 26.44. The final step is to round this result up to the nearest dollar, which gives us an hourly wage of $27. 55,000 dollars a year is therefore equal to about 27 dollars per hour.

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The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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