Which animal is least preferred by the students? (2) dog (c) rabbit (d) cow​

The inference made is that, based on the sample of 2000 American adults surveyed, it is estimated that 52% of all American adults support the Iraq war.

The Iraq War was a conflict that began in 2003 and lasted for nearly a decade, involving the United States-led coalition and the government of Iraq. The war was launched in response to the belief that Iraq possessed weapons of mass destruction and that the country was a threat to international security. However, no such weapons were found, and the justifications for the war were widely debated and criticized.

The conflict resulted in the overthrow of Saddam Hussein's regime, and the subsequent establishment of a new government in Iraq. However, the war also led to a large number of casualties on both sides, with estimates of civilian deaths ranging from 100,000 to over 1 million. The war also caused significant political instability in the region, with sectarian violence and insurgent attacks becoming common.

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Answer:

81

Step-by-step explanation:

Take half of the x-term coefficient, and square it.

Half of 18 is 9.

9² = 81

Answer: 81

Answer:

Step-by-step explanation:

D Add 7 to both sides

This makes it 3x=37

x=37/3

Step-by-step explanation:

17.

an addition is commutative. that means the sequence of the arguments of the operation does not matter (as long as the arguments are truly the same).

7x + 1 = 1 + 7x

1 = 1

0 = 0

is all true for any and every value of x.

so, yes, that's how I know that the expressions are equivalent.

18.

no, the case of 17 does not apply, because she changed the arguments of the addition (not just the sequence).

to check :

7x + 1 = 1x + 7

6x = 6

x = 1

this is true for exactly one value of x. but definitely not fit every value of x.

and so, these 2 existing are not equivalent. they are 2 different functions with a crossing point.

The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression

The equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

The equation is given as:

P2 = 100000(0.4)^(d - 4)

Apply the law on indices on the expression.

P2 = 100000(0.4)^d * 1/0.4^4

Rewrite as:

P2 = 1/0.4^4 * 100000(0.4)^d

Evaluate the exponent

P2 = 39.0625 * 100000(0.4)^d

Evaluate the product

P2 = 3906250(0.4)^d

Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

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Answer:

D

Step-by-step explanation:

Answer:

62.75

Step-by-step explanation:

two pairs of shoes 20 each equals 40 bucks plus 14.50 equals 54.50 plus 8.25 equals 62.75

The depth of the rectangular gasoline tank is found to be 0.11 m when it can hold 50.0 kg of gasoline at its full volume. The tank has a width of 0.500 m and a length of 0.900 m.

In summary, based on the given dimensions of the fuel tank, it has a depth of 0.11 m when fully loaded with 50.0 kg of gasoline. Now, let's examine whether this gas tank has a reasonable volume for a passenger car. Passenger car fuel tanks can range in size depending on the make and model of the car. On average, a small passenger car fuel tank can hold approximately 40-50 liters of gasoline which is equivalent to roughly 29-36 kg.

Therefore, the given capacity of the gasoline tank to hold 50.0 kg of gasoline is reasonable for a passenger car. Additionally, the dimensions of the tank, being 0.500 m wide by 0.900 m long, do not seem to be unusual for a typical gas tank size for passenger cars. However, it is important to note that other factors such as the weight of the car and fuel efficiency should be taken into consideration to determine the appropriate size of a fuel tank for a car.

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The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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The height of the lamppost is 110 in (optionC)

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

To find the height;

Tan 70 = h/ 40

h = tan70 × 40

h = 2.75 × 40

h = 110 in

therefore the height of the lamppost is 110 in

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a 21.8 g sample of osmium would occupy a volume of approximately 0.9646 cm³.

To calculate the volume occupied by a sample of osmium, we can use the formula:

Volume = Mass / Density

Given:

Mass = 21.8 g

Density = 22.6 g/cm³

Substituting these values into the formula:

Volume = 21.8 g / 22.6 g/cm³

Simplifying:

Volume = 0.9646 cm³

what is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It quantifies the extent or capacity of an object or substance in terms of how much space it occupies.

In mathematical terms, volume is typically measured in cubic units (such as cubic meters, cubic centimeters, or cubic inches). It is calculated by multiplying together the three dimensions of the object (length, width, and height) or by using specific formulas depending on the shape of the object.

For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a cylinder can be calculated using the formula πr²h, where r is the radius of the base and h is the height.

Volume is an essential measurement in various fields such as physics, engineering, chemistry, and everyday life. It helps determine capacities, quantities, displacements, and the amount of space occupied by objects or substances.

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The correct option is (2)  \(\frac{8}{5}\) and (3)  \(\frac{1}{6}\).

The factor of equation  f(x) = 60\(x^{4}\) +  86\(x^{3}\) – 46\(x^{2}\) – 43\(x\) + 8 are \(\frac{8}{5}\) and \(\frac{1}{6}\).

The rational root theorem, also referred to as the rational zero theorem, is a potent mathematical technique used to identify all potential rational roots of polynomial equations of order 3 and above.

For the given polynomial, the roots are given as;

\($$P(x)=a_{n} x^{n}+a_{n-1} x^{n-1}+\cdots+a_{2} x^{2}+a_{1} x+a_{0}$$\\ \\$\pm \frac{\text { factors of } a_{0}}{\text { factors of } a_{n}}$.\)

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only   \(\frac{8}{5}\) and \(\frac{1}{6}\) can be written in the form:  

\(\begin{aligned}&\frac{8}{5}=\frac{\text { a factor of } 8}{\text { a factor of } 60} \\&\frac{1}{6}=\frac{\text { a factor of } 8}{\text { a factor of } 60}\end{aligned}\)

Therefore, the rational roots of polynomial f(x) = 60\(x^{4}\) +  86\(x^{3}\) – 46\(x^{2}\) – 43\(x\) + 8 are \(\frac{8}{5}\) and \(\frac{1}{6}\).

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The complete question is-

Which is a factor of f(x) = 60\(x^{4}\) +  86\(x^{3}\) – 46\(x^{2}\) – 43\(x\) + 8? use the rational root theorem to help you find your answer.

Answer:

-3>14

Step-by-step explanation:

But it says its false

Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

After serving the 3 glasses, approximately 12% of the bottle will remain.

We need to determine how much liquid is used to fill the glasses and then subtract that amount from the total volume of the bottle.

Each glass requires 220ml of lemonade, and since there are 3 glasses, the total amount used to fill the glasses is 220ml/glass × 3 glasses = 660ml.

To find the remaining amount of lemonade in the bottle, we subtract the amount used (660ml) from the total volume of the bottle (750ml):

Remaining amount = Total volume - Amount used

Remaining amount = 750ml - 660ml

Remaining amount = 90ml

Therefore, after serving the 3 glasses, there will be 90ml of lemonade remaining in the bottle.

To calculate the percentage, we divide the remaining amount by the total volume of the bottle and multiply by 100:

Percentage remaining = (Remaining amount / Total volume)×100

Percentage remaining = (90ml / 750ml) × 100

Percentage remaining = 0.12 × 100

Percentage remaining = 12%

So, after serving the 3 glasses, approximately 12% of the bottle will remain.

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A lemonade bottle has 750ml. If you need to fill 3 glasses of 220ml each, what percentage of the bottle remains after serving the 3 glasses?

To encode a message using matrix multiplication, an invertible matrix is chosen, and the original row matrices are multiplied by this chosen matrix on the right to obtain encoded row matrices.

Matrix multiplication is a common technique used in encoding and decoding messages. In this scenario, to encode a message, we select an invertible matrix, denoted as matrix A. The invertible property ensures that matrix A has an inverse, allowing us to undo the encoding process later.

To encode the message, we take the original row matrices, which represent the message or data, and multiply them by matrix A on the right. The resulting matrices obtained after multiplication are the encoded row matrices.

The process of multiplying the original row matrices by matrix A on the right is often referred to as matrix transformation or encoding. Each element in the original row matrices interacts with the corresponding elements in matrix A, resulting in a modified value in the encoded row matrices.

By performing the inverse operation, which involves multiplying the encoded row matrices by the inverse of matrix A, the original message can be decoded and recovered.

In conclusion, to encode a message using matrix multiplication, an invertible matrix is selected, and the original row matrices are multiplied by this chosen matrix on the right to obtain the encoded row matrices.

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divide both sides by 7

>>>>>> 1 : 3

A catalytic ozone destruction cycle requires no atomic oxygen and it incorporates the photochemical decomposition of ClONO₂ to Cl and NO₃, and photochemical decomposition of the later to NO and O₂. The overall reaction is NO + O₃ → NO₂ + O₂

In the lower stratosphere, a proposed mechanism for ozone destruction in the late spring over northern latitudes begins with the photochemical decomposition of ClONO₂ to Cl and NO₃. This reaction is catalyzed by sunlight in the lower stratosphere. The photodissociation of NO₃ is the next step in the cycle, and it results in the production of NO and O₂.

The NO then reacts with O₃ in the following reaction: NO + O₃ → NO₂ + O₂The NO₂ that is produced then reacts with atomic oxygen to form NO₃, and the cycle starts again with the photodissociation of ClONO₂. The NO that is produced during the reaction between NO₂ and O₃ can also react with atomic oxygen to form NO₂, which can then go on to form NO₃.However, the catalytic cycle that has been proposed requires no atomic oxygen to be present. The NO that is produced during the reaction between NO₂ and O₃ reacts with more O₃ to form NO₃ and O₂: NO + O₃ → NO₂ + O₂NO₂ + O₃ → NO₃ + O₂The NO₃ that is produced in this reaction can then go on to react with more O₃, starting the cycle over again. Thus, the overall reaction for the catalytic ozone destruction cycle is:NO + O₃ → NO₂ + O₂NO₂ + O₃ → NO₃ + O₂NO₃ + O₃ → NO + 2O₂The cycle continues as long as the necessary reactants are available.

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Answer:

0.2 is the correct answer.

Answer:

-8.3 + 9.2 - 4.4 + 3.7

= -8.3 + 9.2 + (-4.4) + 3.7            {Additive inverse}

= -8.3 + (-4.4) + 9.2 + 3.7            {Commutative Property}

= [ -8.3 + (-4.4] + [ 9.2 + 3.7]       {Associative property}

=  - 12.7 + 12.9

= 0.2

answer is 0.2

Answer:

18n-6+p

Step-by-step explanation:

if I’m wrong, my bad, but I ran into this same problem the other day, so hopefully this is right for you

Answer:2−12+33=0

Step-by-step explanation:

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Step-by-step explanation:

x+3x+90=360

4x=360-90

x=270/4

x=67.5

Answer:

x=67.5°

Step-by-step explanation:

x + 3x= 270°

(x + 3x) → 4x

4x=270

4x/4=270/4

x=67.5°

Hope it helps! :)

Rotation - Rotation is a plane transformation that rotates every point in a figure through a given angle and direction on a fixed point.

Transformation - Transformation is a process that alters the shape and or position of a point, a line, or a geometric figure.

Translation - Translation occurs when a figure is relocated from one position to another without changing its size, shape, or orientation.

Dilation - Dilation is a transformation that alters the size of a figure, whether enlarging or shrinking it, but it has no effect on the shape of the figure.

Angle of Rotation - Angle of Rotation is the amount that a figure is rotated about a fixed point referred to as the point of rotation.

Line of Reflection - Line of Reflection is a transformation in which each point in a shape appears at an equal distance on the opposite side of a given line.

Hope this helps!!

The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows

                                  y = 2 (1/5)^x - 5             y = 4^x

Initial value:               2                                    1

base function:        1/5 = decay function       4 = growth function

Translation:             5 units down                    no transformation

A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.

It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.

Decay function are exponential functions with the base function as

This is the opposite of growth function which has values greater than 1

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The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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