Point Alies on Quadrant IV. If it is rotated 180° about the origin which quadrant will the image A' lie on.


A . Quadrant III
B . Quadrant 11
C . Quadrant l
D . Quadrant IV


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impossible

Step-by-step explanation:

Absolute value brackets make it so that whatever number is inside of them, becomes positive. You cant have a negative number after using absolute value brackets.

Answer:

probability is the same

Answer:

($3.189/gallon)(1 gallon/15 miles)(165 miles)

= $35.079 = $35.08

Answer:

It will cost $35.08 to go 165 miles.

Step-by-step explanation:

165/15 = 11

You will need 11 gallons

11 x 3.189 = 35.079

Helping in the name of Jesus.

Answer:

96 bowls

24×4

because there is 24 hour a day and she can eat 4.

Answer:

96 bowls

Step-by-step explanation:

so we know that she can eat 4 bowls per hour and that there is 24 hours in a day. So what we can do is 24 times 4 because we are trying to find out how many bowls she eats in a day so the answer is 96

Answer:

y-intercept = (-2,0)

Step-by-step explanation:

the "C" is the answer

The chain rule for the function: dh/dx = df/dx * du/dx * dv/dx, where df/dx, du/dx and dv/dx are the derivatives of f, u and v with respect to x.

The chain rule is a rule used to calculate the derivative of a composite function. It states that the derivative of the composite function is equal to the product of the derivatives of each of its component functions. In the case of the function dh/dx, where h(x) = f(x, u(x), v(x)), the chain rule can be written as:

dh/dx = df/dx * du/dx * dv/dx

This means that the derivative of h with respect to x is equal to the product of the derivatives of f with respect to x, u with respect to x, and v with respect to x. This can be broken down further, where df/dx is the derivative of f with respect to x, du/dx is the derivative of u with respect to x, and dv/dx is the derivative of v with respect to x.

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Answer:

A. x²/y³

Step-by-step explanation:

Given the following data;

Length = x³y⁴

Width = \( xy^{7}\)

Ratio = length/width

\( Ratio = \frac{x^{3}y^{4}}{xy{^7}}\)

Simplifying the equation by applying the law of indices (division), we have;

\(\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2} \)

\(\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3} \)

Hence, rearranging the above values;

\( Ratio = \frac{x^{2}}{y^{3}}\)

Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.

Alan's porch has a width of 65/72 yards.

width generally refers to the measurement of the shorter dimension of a two-dimensional object, such as a rectangle. It is usually measured perpendicular to the length, and can be calculated using the formula:

Width = Area ÷ Length

where Area is the area of the object and Length is the longer dimension.

According to the given information:

To find the width of each porch, we can use the formula for the area of a rectangle:

Area = Length x Width

For Bill's porch:

8 1/8 = 6 1/2 x Width

We can convert the mixed number 6 1/2 to an improper fraction:

8 1/8 = 13/2 x Width

To isolate Width, we can divide both sides by 13/2:

Width = (8 1/8) ÷ (13/2)

Using the division of fractions rule (invert and multiply), we get:

Width = (65/8) ÷ (13/2)

Simplifying, we get:

Width = (65/8) x (2/13) = 5/8

So Bill's porch has a width of 5/8 yards.

For Alan's porch:

8 1/8 = 3 x Width

We can isolate Width by dividing both sides by 3:

Width = (8 1/8) ÷ 3

Converting 3 to a mixed number, we get:

Width = (8 1/8) ÷ (3 0/1)

Using the division of mixed numbers rule (multiply by the reciprocal), we get:

Width = (65/8) ÷ (9/1) = 65/72

So Alan's porch has a width of 65/72 yards.

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Alan's porch has a width of 65/72 yards.

What is width?

width generally refers to the measurement of the shorter dimension of a two-dimensional object, such as a rectangle. It is usually measured perpendicular to the length, and can be calculated using the formula:

Width = Area ÷ Length

where Area is the area of the object and Length is the longer dimension.

According to the given information:

To find the width of each porch, we can use the formula for the area of a rectangle:

Area = Length x Width

For Bill's porch:

=> 8 1/8 = 6 1/2 x Width

We can convert the mixed number 6 1/2 to an improper fraction:

=> 8 1/8 = 13/2 x Width

To isolate Width, we can divide both sides by 13/2:

Width = (8 1/8) ÷ (13/2)

Using the division of fractions rule (invert and multiply), we get:

=> Width = (65/8) ÷ (13/2)

Simplifying, we get:

Width = (65/8) x (2/13) = 5/8

So Bill's porch has a width of 5/8 yards.

For Alan's porch:

8 1/8 = 3 x Width

We can isolate Width by dividing both sides by 3:

Width = (8 1/8) ÷ 3

Converting 3 to a mixed number, we get:

Width = (8 1/8) ÷ (3 0/1)

Using the division of mixed numbers rule (multiply by the reciprocal), we get:

Width = (65/8) ÷ (9/1) = 65/72

So Alan's porch has a width of 65/72 yards.

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The integral of \( \sinh^3(x) \cdot \cosh^7(x) \, dx \) can be evaluated using the substitution method. Let's denote \( u = \cosh(x) \) and find the integral in terms of \( u \). The result will be given in terms of \( u \) and then converted back to \( x \) for the final answer.

To evaluate the given integral \( \sinh^3(x) \cdot \cosh^7(x) \, dx \), we can use the substitution method. Let's denote \( u = \cosh(x) \). Taking the derivative of \( u \) with respect to \( x \), we have \( du = \sinh(x) \, dx \).

Substituting these values into the integral, we obtain:

\( \int \sinh^3(x) \cdot \cosh^7(x) \, dx = \int (\sinh(x))^2 \cdot \sinh(x) \cdot (\cosh(x))^7 \, dx \).

Using the identity \( (\sinh(x))^2 = (\cosh(x))^2 - 1 \), we can rewrite the integral as:

\( \int ((\cosh(x))^2 - 1) \cdot \sinh(x) \cdot (\cosh(x))^7 \, dx \).

Substituting \( u = \cosh(x) \) and \( du = \sinh(x) \, dx \), the integral becomes:

\( \int (u^2 - 1) \cdot u^7 \, du \).

Simplifying further, we have:

\( \int (u^9 - u^7) \, du \).

Integrating term by term, we get:

\( \frac{u^{10}}{10} - \frac{u^8}{8} + C \).

Finally, substituting \( u = \cosh(x) \) back into the expression, we have:

\( \frac{\cosh^{10}(x)}{10} - \frac{\cosh^8(x)}{8} + C \).

Therefore, the integral \( \int \sinh^3(x) \cdot \cosh^7(x) \, dx \) evaluates to \( \frac{\cosh^{10}(x)}{10} - \frac{\cosh^8(x)}{8} + C \).n:

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The variables of the test statistic can be concluded as \(s_{1} ^{2}\), \(s_{2} ^{2}\) as the variance of two samples, \(n_{1}\), \(n_{2}\) as the respective size of the two samples, \(t\) as the t-distribution test statistic, and \(x_{1}\), \(x_{2}\) as the mean of the two samples.

It is given to us that the test statistic is used for a two sample test of means where the population variances are unknown and unequal.

Pooled standard deviation estimates cannot be used when the two groups have unequal variances. Instead, we have to find out the standard error for each group separately.

The formula for this type of test statistic is given by -

\(t=\frac{x_{1} -x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1} } +\frac{s_{2} ^{2} }{n_{2} } } }\) ------- (1)

Here, the variables can be defined as below -

\(s_{1} ^{2}\), \(s_{2} ^{2}\) = The variance of two samples

\(n_{1}\), \(n_{2}\) = The respective sizes of the two samples

\(t\) = t-distribution test statistic

\(x_{1}\), \(x_{2}\) = Mean of the two samples

Thus, the variables of the test statistic can be concluded as \(s_{1} ^{2}\), \(s_{2} ^{2}\) as the variance of two samples, \(n_{1}\), \(n_{2}\) as the respective size of the two samples, \(t\) as the t-distribution test statistic, and \(x_{1}\), \(x_{2}\) as the mean of the two samples.

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The probability of inhaling at least one molecule from your last breath is virtually certain, reaching close to 1 or 100%.

The probability of inhaling at least one molecule from your last breath, given that there are approximately 10^22 molecules in your breath and they are thoroughly mixed among 10^44 molecules in the atmosphere, is extremely high. It is essentially certain that you are inhaling at least one of these molecules at any given moment.

The probability of inhaling at least one molecule from your last breath can be calculated by considering the ratio of the molecules in your breath to the molecules in the atmosphere. With approximately 10^22 molecules in your breath and 10^44 molecules in the atmosphere, the probability of inhaling at least one molecule from your last breath can be approximated as 1 - (probability of not inhaling any molecule).

The probability of not inhaling any molecule from your last breath can be calculated by the following formula: (1 - probability of inhaling one molecule)^N, where N is the number of breaths you have taken since your last breath.

However, in this scenario, the number of molecules in the atmosphere is enormously greater than the number of molecules in your breath. This means that even if you take a vast number of breaths, the probability of not inhaling any molecule from your last breath becomes incredibly small, approaching zero. Therefore, the probability of inhaling at least one molecule from your last breath is virtually certain, reaching close to 1 or 100%.

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x = a number

17 = 4 + 1/3x. First subtract 4 from both sides.

13 = 1/3x. Divide each side by 1/3.

39 = x

Answer:

1.) 5

2.) 14

Step-by-step explanation:

As given,

the expression - 3x + 2

1.)

Evaluate the expression when x is 1

⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5

2.)

Evaluate the expression when x is 4

⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14

Answer:

Step-by-step explanation:

As we see on the graph, the range is:

Answer:

5 maybe

Step-by-step explanation:

Denia's score is required.

Denia's score will be \(+5\).

Steve's score is 5 points away from zero.

This means it may be \(+5\) or \(-5\)

Denia's score is opposite of Steve's.

This means Steve's score is opposite of Denia's.

Denia's score is positive.

The opposite of positive will be negative.

So, Steve's score will be \(-5\) and Denia's score will be \(+5\).

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Answer:

2(6 + 1).

Step-by-step explanation:

24 - 5 x 2 = 14

2(6 + 1) = 2*7 = 14

The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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The surface area of the cone is 450π in². Therefore, the answer is option B.

The surface area of a cone can be represented as follows:

surface area of a cone = πr(r + l)

where

Therefore,

r = 9 inches

l = 41 inches

Hence,

surface area of a cone = π × 9(9 + 41)

surface area of a cone = 9π(50)

Therefore,

surface area of a cone = 450π inches²

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9514 1404 393

Answer:

  $7369

Step-by-step explanation:

An exponential function is of the form ...

  f(x) = a·b^x

where 'a' is the initial value, and 'b' is the growth factor. When the growth is given as a growth rate (4% per year), the growth factor is that value plus 1.

Here, the initial value, for x=0 in 2018, is 5600. So, the exponential model of the rent is ...

  r(x) = 5600·(1 +.04)^x

  r(x) = 5600·1.04^x . . . . . . . for x years after 2018

__

In 2025, we have x=2025 -2018 = 7. Then the rent is ...

  r(7) = 5600·1.04^7 ≈ 7369

The rent of the apartment in 2025 is $7369 per year.

Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions

What is inequality in mathematics?

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equal. But various inequalities are used to compare the values, whether it is less than or greater than.

Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the expression on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

When the symbols ">, "<", "≥", "≤" are used to connect two real numbers or algebraic expressions, the relationship is referred to as an inequality.

lets suppose 3x-4 < 2.

how to solve this inequality

add 4 to both side.

3x-4+4 < 2+4

3x<6

divide by 3 both side.

x< 2 what is the meaning of this that means value of x is always less than 2 for example 1,-1,-2, 1.5 etc.

The given question is incomplete I answer the question in general according to my knowledge.

Solve this inequality 3x - 4 < 2.

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Answer:

\(2^{2}\) × \(5^{3}\)

Step-by-step explanation:

500

= 2 x 250

= 2 x 10 x 25

= 2 x 2 x 5 x 5 x 5

= \(2^{2}\) × \(5^{3}\)

Answer:

#refer to the attachment!!

\(Factors \:of \:500\)

\(\\ \longmapsto\) 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.

\(Prime \:Factorization \:of\: 500\)

\(\\ \longmapsto\) 500=\(2^{2}\) × \(5^{3}\)

The beauty of nature, which is God's creation, is the poem's central theme in the Murree Hills. In the end, praising the beauty around you is praising God's high skills for creating it.

In this sonnet, the writer has commended God's knowledge and nature's excellence He says that the fragrance of Murree is sweet to such an extent that it appears somebody has splashed aroma. Additionally beautiful are the valleys, where smaller streams meet larger ones. Murree is different from the rest of Punjab in that it is wetter and has more greenery than the rest of the state. The already stunning plants are enhanced by the brilliantly colored butterflies.

The raging streams signal the summer monsoon's arrival as the mist dissipates into bright skies at noon. The splendor of the Murree Hills exemplifies God's existence and demonstrates His greatness and intelligence. The beauty of nature, which is God's creation, is the poem's central theme in the Murree Hills. In the end, praising the beauty around you is a praise of God's high skills for creating it.

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Answer:

4, 6, 10, 12 I think are the sides the perimeter=32

Step-by-step explanation:

Answer:

1.) 150

2.) 10

Step-by-step explanation:

If you look at the chart, above the 25 in the seconds row in the gallons row is 150.

This means that the chart tells you there are 150 gallons for every 25 seconds.

The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.

This means the chart tells you there are 60 gallons for every 10 seconds.

Answer:

You input the equation they give you into the table to get an outcome. The Equation they gave you is x=y. simply, what ever X is, thats what y is. x=y. On the table it says that X is 3. If x is 3 then y is three because they are equal. if X is 7 then Y is 7. its the same throughout the whole table. To write it as an ordered pair you write (X,Y) if x is three y is three so the ordered pair would look like (3,3)

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.

Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.

Payoffs are as follows:

u1(s1,s2)=1−[s1 −(1/2)s2]^4

uA2(s1,sA2)=100−[sA2 −s1−1/4]^2

uB2 (s1,sB2 )=100−[sB2 −s1]^2.

To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.

A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.

This is a refinement of the Nash equilibrium that takes into account the players' information about the game.

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The system of linear equations from the first table

Equation 1: 2 = a × 0 + b

Equation 2: 0 = a × (-4) + b

Equation 3: 5 = a × 6 + b

Equation 4: -1 = a ×  (-6) + b

The system of linear equations from the first table of values can be identified as:

Equation 1: 2 = a × 0 + b

Equation 2: 0 = a × (-4) + b

Equation 3: 5 = a × 6 + b

Equation 4: -1 = a ×  (-6) + b

Table 2:

The system of linear equations from the second table of values can be identified as:

Equation 1: 1 = a × 0 + b

Equation 2: 0 = a ×  (-2) + b

Equation 3: -1 = a ×  (-4) + b

Equation 4: 2 = a × 2 + b

In the equations, 'a' and 'b' represent the coefficients to be determined.

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