\(3q + 2p + 7\)

The temperature change is the difference between the final temperature and the initial temperature. In this case, the initial temperature is -12, and the final temperature is 25. To find the temperature change, we simply subtract the initial temperature from the final temperature:

25 - (-12) = 37

Therefore, the total change in temperature over the 8-hour period is 37 degrees. It is important to note that we do not know how the temperature changed over the 8-hour period. It could have gradually increased, or it could have changed suddenly. Additionally, we do not know the units of temperature, so it is possible that the temperature is measured in Celsius or Fahrenheit. Nonetheless, the temperature change remains the same, regardless of the units used.

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Answer:

side A should be about 44cm

Answer:

Step-by-step explanation:

decrease 7%

100 - 7% = 93

increase 12%

93 + 12% = 104.16

104.16 - 100 = 4.16%

The value of k for which the pair of equations 3xy - 8 = 0 and 6xky - 16 = 0 have infinitely many solutions is 4.

To solve this question, we need to find the value of k for which the two equations are equivalent. Equivalence means that the coefficients of x and y are the same and the constant terms are the same.

From the given equations, we can see that the coefficients of x and y are the same in both equations, which is 6x. The constant terms, however, are different. The first equation has a constant term of -8, while the second equation has a constant term of -16.

To make the equations equivalent, we need to make the constant terms the same. We can do this by dividing the second equation by 2. This gives us 6 ky - 8 = 0. We can see that the constant term is now the same as the first equation. Therefore, the value of k that makes the equations equivalent is k = 4.

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The complete question is:

For what value of k do the pair of equations 3xy - 8 = 0 and 6xky - 16 = 0 has infinitely many solutions?

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

The parametric equations for the motion of the particle in the xy plane that traces the counterclockwise ellipse are x = 6cos(t) and y = 4sin(t), where t is the parameter. The parameter interval for the motion is 0 ≤ t ≤ 2π.

To find the parametric equations for the counterclockwise motion of the particle along the given ellipse, we can start by parameterizing the ellipse equation  \(16x^2 + 9y^2 =\) 144. We divide both sides of the equation by 144 to normalize it, giving us  \((x^2/9) + (y^2/16\)) = 1. By comparing this equation with the standard form of an ellipse, we can see that a = 3 and b = 4.

We can then use the trigonometric parametrization of an ellipse to obtain the parametric equations. Letting x = acos(t) and y = bsin(t), where t is the parameter, we substitute the values for a and b, resulting in x = 6cos(t) and y = 4sin(t). These equations represent the motion of the particle along the ellipse.

Since we want the particle to trace the ellipse counterclockwise, we need to cover the full circumference of the ellipse. This corresponds to a parameter interval of 0 ≤ t ≤ 2π, which completes one full revolution around the unit circle. Therefore, the parametric equations for the motion of the particle are x = 6cos(t) and y = 4sin(t), with a parameter interval of 0 ≤ t ≤ 2π.

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All elements x in Dn such that x^2 = f are the same reflection f, and all elements x in Dn such that x^3 = f are the identity element of the dihedral group Dn.

Let f be a reflection in the dihedral group Dn.

For all elements x in Dn such that x^2 = f, these elements would be the same reflection f.

For all elements x in Dn such that x^3 = f, these elements would be the identity element of the dihedral group Dn.

All elements x in Dn such that x^2 = f are the same reflection f, and all elements x in Dn such that x^3 = f are the identity element of the dihedral group Dn.

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The student was instructed to add butanamide to a flask containing LiAlH4, followed by the addition of water. However, the student accidentally added butanenitrile instead of butanamide.

The reaction involving LiAlH4 is a reduction reaction, where LiAlH4 acts as a reducing agent. When LiAlH4 reacts with an amide, such as butanamide, it undergoes reduction, resulting in the formation of an amine. In this case, the expected product would be butylamine.

On the other hand, butanenitrile is a nitrile compound. Nitriles are not directly reduced by LiAlH4. Therefore, the addition of butanenitrile instead of butanamide would not produce the desired amine product.

The reaction scheme for the intended reaction would look like this:
1. LiAlH4 + butanamide → butylamine + LiAl(OH)4

However, if butanenitrile is added instead, the reaction scheme would not occur, as nitriles do not react with LiAlH4 under these conditions.

In summary, the student's mistake of adding butanenitrile instead of butanamide would affect the outcome of the reaction. The desired amine product, butylamine, would not be formed.

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Answer:

no

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

7² + 10² = 49 + 100 = 149

since 149 ≠ 144 then the triangle is not right

The coordinates of point T' is (2, -2)

A dilation is a transformation that changes the size of a figure but not its shape.

In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.

In this case, the point T (3, -3) is transformed under a dilation of 2/3 with respect to the origin.

So the image point is (kx, ky) = (3 * 2/3, -3 * 2/3) = (2, -2)

So the image point of T under a dilation of 2/3 with respect to the origin is (2, -2)

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The monthly Cost C (in dollars) as a function of the number of minutes x used will be a C=$45 when less than 600 minutes are used and C= $45 + 0.1(x -600)  when more than 600 minutes are used.

It is given that, The charge of the plan is $45, so our function of Cost C must include this price. Now, the plan includes 600 minutes of usage for free, So our definition of function should include this information as well.

Now, There will be 2 cases, Case 1 : when the minutes of usage is less than or equal to 600 and Case 2 : when the minutes of usage is greater than 600.

For the first case, the equation will be a simple constant function as no other additional cost is required :

⇒ C = 45

For the 2nd case, there is a 10 cent charge for every extra minute of usage + the plan charge of $45 and to find the number of extra minutes of usage we simply subtract 600 from 'x' (total minutes used). Therefore, our equation will be :

⇒C = 45 + 0.1 (x-600)

In conclusion, we can write our equation with proper format like this :

\(C = \left \{ {{45}\atop {45 + 0.1(x-600)}} \right.\)

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PART A: 2.25

PART B: 14

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer: (-5)+(-5)=-10

Step-by-step explanation:

have a great day

Answer:

1.A , 2.B , 3.D , 4.B , 5.C

Step-by-step explanation:

hope this helped! :)

Answer:

(5,0) and (0,3) have a slope of -3/5

Step-by-step explanation:

Here, we want to state a pair of points that have a slope of -3/5

Mathematically, we can have the slope of a straight line calculated as;

m = y2-y1/(x2-x1)

This could give points like (5,0) and (0,3)

Answer:

1

Step-by-step explanation:

Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.

The sum of the lengths of the two parallel sides, a + b, is equal to 30 centimeters.

Let's denote the lengths of the two parallel sides of the trapezoid as a and b. The formula for the area of a trapezoid is given by:

Area = (1/2) * (a + b) * h

where h represents the height of the trapezoid.

We are given that the area is 120 square centimeters and the height is 8 centimeters. Substituting these values into the formula, we have:

120= 1/2*(a+b)*8  

Multiplying both sides of the equation by 2 and dividing by 8, we get:

240 = a + b

a+b = 120*2/8

= 30 cm

Therefore, the sum of the lengths of the two parallel sides, a + b, is equal to 30 centimeters.

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Answer:

  22. x = 0.228 or 8.772

  24. x = -0.869 or 1.535

Step-by-step explanation:

The solutions are all irrational, so it would be tedious arriving at a solution using tables. I prefer a graphing calculator for this.

The first attachment shows the problems with graphs of left-side and right-side expressions. The points of intersection are the solutions.

The second attachment shows the difference of the two sides of the equation. The x-intercepts of that difference are the solutions. The graph also shows the vertex of the quadratic, which lets you write down the exact solution. For y = a(x -h)^2 +k, the solutions are x = h ±√(-k/a) where (h, k) is the vertex and 'a' is the leading coefficient of the quadratic.

__

22. x = 0.228 or 8.772

  graphs in first attachment are red and orange

  graph in second attachment is black

  x = 4.5 ± √18.25

__

24. x = -0.869 or 1.535

  graphs in first attachment are blue and purple

  graph in second attachment is red ('a' = 3)

  x = (1 ±√13)/3

Answer:

5*2 +2*2 = s*2

s = 5.38

s = 5.4

9*1/6

Step-by-step explanation:

1= 6/6 and there are 9 boxes so multiply 9*1/6

To be sure of getting at least one face card from a standard deck of 52 cards, you would need to pick a minimum of 4 cards.

In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings). To ensure that you have at least one face card, you would need to consider the worst-case scenario, which is that the first three cards you pick are not face cards. In this case, the fourth card you pick is guaranteed to be a face card, as there are 12 face cards remaining in the deck.

To understand why you need a minimum of 4 cards, consider the possibilities:

If you pick 3 non-face cards consecutively, the next card must be a face card. The probability of picking a non-face card is
(40/52) * (39/51) * (38/50) = 0.4026.

Therefore, the probability of picking at least one face card in the first 3 cards is 1 - 0.4026 = 0.5974.

However, to be absolutely sure of getting at least one face card, you need to consider the worst-case scenario, where the first 3 cards are non-face cards. Therefore, you would need to pick the fourth card to guarantee a face card.

Hence, to be sure of getting at least one face card, you need to pick a minimum of 4 cards from a standard deck of 52 cards.

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The value of the function f(x)-g(x)-h(x) is -5x^2+6x+6. Option D

It is important that we know functions are expressions showing the relationship between two variables.

These variables are called;

From the information given, we have the functions as;

f(x)=3x+5 g(x)=4x^2-2 h(x)=x^2-3x+1

Now, to determine the function, f(x)-g(x)-h(x). substitute the expressions, we get;

f(x)-g(x)-h(x) =3x + 5 - 4x² + 2 - x² + 3x - 1

Now, collect the like terms, we get;

f(x)-g(x)-h(x) = -4x² - x² + 3x+ 3x + 5 + 2 - 1

Add or subtract the like terms, we get;

f(x)-g(x)-h(x) = -5x² + 6x + 6

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The equation that best represents the scenario is: b)x over quantity 3x minus 4 equals 20 over 80.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals symbol "=".Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.

Typically, we consider an equation's right side to be zero. Since we can balance this by deducting the right-side expression from both sides' expressions, this won't limit the generality.

The baseball team is composed of bats and balls.

Let us,

Call x the number of bats and call y the number of balls.

Then we know that:

The number of baseballs is four less than three times the number of bats.

=> y=3x-4........................(1)

This is:

Then we know that the team is 80% baseballs

                    => \(\frac{x}{y}=\frac{0.2}{0.8}=\frac{1}{4}\)

This is:

We substitute the first equation in the second and we have:

\(\frac{x}{y} =\frac{0.2}{0.8}\\ \\= > \frac{x}{3x-4}=\frac{20}{80}\\\)

Therefore, the equation that best represents the scenario is: b)x over quantity 3x minus 4 equals 20 over 80.

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

20, 17, 29 1/2, and 1.5!

Step-by-step explanation:

Got them all correct

Answer:

A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow.

Which numbers are solutions of the inequality?

Choose all that apply.

 yes 20%

    no 35%

yes 17%

       no 30%

  yes 29 and one-half percent%

    yes 1.5%

Step-by-step explanation:

A,C,E,F

Answer:

28 miles per gallon

560/20=28

Step-by-step explanation:

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Number of miles a car travels are 28.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Number of gallons of gas = 20

A car with 20 gallons of gas can drive 560 miles

Based on the given conditions,

= \(\frac{560}{20}\)

= 28

Hence, number of miles are 28.

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Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation: I will put them in order of how it goes in each order for every segment

4 is in 10's, 3 is ones, 0 is in the 10ths,  7 is in the hundredths, 9 is in the thousandths, and five is in the millionths!