two of the people do not like each other and do not want to sit side-by-side. now how many ways can the seven be seated together in a row? incorrect: your answer is incorrect.

Answer:

18

Step-by-step explanation:

Since it is an equilateral triangle AB=AC=5

If I sum up all sides u will get 18. How this helps.

The function is a linear function because as x increases, the y-value changes at a constant rate . The rate of change of this equation is 2.

The difference between linear and exponential functions is that  Linear functions change at a constant rate per unit interval while an exponential function changes by a common ratio over equal intervals.

We are given the function table as:

(0, -3)

(1, -1)

(2, 1)

(3, 3)

Thus, we can see that as x increases, the y-value changes at a constant rate of  + 2.

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To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. So correct option is C.

In mathematics, an ordered pair is a pair of mathematical objects or values, written in a specific order. The two objects can be numbers, coordinates, points, or any other mathematical entity. An ordered pair is written in parentheses, separated by a comma. For example, (3, 5) is an ordered pair of two numbers, where 3 is the first element and 5 is the second element.

The order of the elements in an ordered pair is important, as it indicates which element represents the first coordinate or value, and which element represents the second. In many cases, ordered pairs are used to represent points in a coordinate plane, where the first element represents the x-coordinate and the second element represents the y-coordinate. For example, the ordered pair (3, 5) represents a point that is 3 units to the right on the x-axis and 5 units up on the y-axis from the origin.

To plot the ordered pair (3,4) on a coordinate plane, we need to move 3 units to the right on the x-axis and 4 units up on the y-axis from the origin (0,0). Therefore, the correct statement is:

C. To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.

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The complete question is:

Which statement is true about the ordered pair (3 , 4)?

A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.

B. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.

C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.

D. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.

The equation to model the situation given in the question is (x+3)(x+6) = 148.

Let's assume that the original length and width of the square flower garden were "x". When Harrison expanded the garden, the new length became "x+3" and the new width became "x+6".

The area of a rectangle is given by the formula A = L × W, where A is the area, L is the length, and W is the width. Therefore, the area of the expanded rectangular flower garden is:

A = (x+3)(x+6)

We know that the area of the expanded rectangular flower garden is 148 square feet. So we can set up an equation:

(x+3)(x+6) = 148

{When we solve this equation using the quadratic formula we get x values:

x ≈ 8.2 and x ≈ -17.2 but we know x is the side of the garden so it cannot be negative, therefore, x = 8.2 unit}

This is the equation that models the situation described in the problem.

Therefore, the equation to model this situation is (x+3)(x+6) = 148.

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The 5th term in the expansion of (a+b)⁴ in simplest form is 4a³b.

The binomial theorem is a mathematical formula that provides a way to expand the power of a binomial expression, which is an expression that consists of two terms.

The 5th term in the expansion of (a+b)⁴ can be found using the binomial theorem formula:

(a + b)ⁿ = C(n,0)aⁿ + C(n,1)[tex]a^(n-1)[/tex]b + C(n,2)[tex]a^(n-2)[/tex]b² + ... + C(n,n-1)a[tex]b^(n-1)[/tex] + C(n,n)bⁿ

where C(n,r) is the binomial coefficient, given by:

C(n,r) = n! / (r! * (n-r)!)

In this case, n = 4 and we want to find the 5th term, which means we want the coefficient for the term with a³b. Using the formula, we can see that the coefficient for this term is:

C(4,3) = 4! / (3! * (4-3)!) = 4

So the 5th term in the expansion of (a+b)⁴ is:

4a³b

In simplest form, we cannot simplify this expression any further. Therefore, the 5th term in the expansion of (a+b)⁴ in simplest form is:

[tex]4a^3b[/tex].

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The minimum of the given expression can be found to be 3 x ∛(√2).

Use these inequalities to find the minimum of the given expression:

(a / (b + c)) + (b / (c + a)) + √(2c / (a + b)) ≥ (a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab)))

Now, simplify the expression:

(a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab))) = (√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))

Apply AM-GM inequality to the terms (√(a²/bc)), (√(b²/ac)), and (√(2c²/ab)):

AM = [(√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))] / 3 ≥ GM = ∛[(√(a²/bc)) * (√(b²/ac)) * (√(2c²/ab))]

The geometric mean (GM) is:

GM = ∛[(√(a²/bc)) x (√(b²/ac)) x (√(2c²/ab))]

GM = ∛(√(2a²b²c² / a²b²c²))

GM = ∛(√2)

Thus, the minimum of the given expression is:

= 3 x ∛(√2)

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The price of each book must be either $38.53 or $10.8 to generate a total sales revenue of $1,24,875.

If the prices of a book is $16 then 10000 copies will be sold.

For every dollar that increase in price, 300 books will not be sold.

So if the price of a book increases $x then the total price of sold books is given by,

y = (16 + x)*(10000-300x)

Now total sales revenue of the books is $124875, that is, y = 124875.

So, (16+x)*(10000-300x) = 124875

160000 + 10000x - 4800x - 300x² = 124875

35125 + 5200x - 300x² = 0

25 (1405 + 208x - 12x²) = 0

12x² - 208x - 1405 = 0

Solving the above quadratic equation we get,

x = 22.53 or x = -5.20 (Rounding to two decimal places)

So the amount will be either (16+22.53) = $38.53 or (16-5.20) = $ 10.8.

Hence the price must be either $38.53 or $10.8.

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The translation of the question is -

"If a publisher prices a book at $16, 10,000 copies will be sold. For every dollar that increases in price, 300 books will not be sold. What must be the price each book must sell for to generate a total sales revenue of $124,875?"

Answer:

We can use the slope formula to find the value of j. The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-9, -5) and (x2, y2) = (j, 3). We are given that the slope is 8/7, so we can substitute these values into the slope formula and solve for j:

8/7 = (3 - (-5)) / (j - (-9))

8/7 = 8 / (j + 9)

8(j + 9) = 7(8)

8j + 72 = 56

8j = -16

j = -2

Therefore, the value of j is -2.

The distance between points A and B is 2 units.

To find the distance between two points in a coordinate plane, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using this formula, we can find the distance between points A (-3,1) and B(-1,1) as follows:

distance = sqrt((-1 - (-3))^2 + (1 - 1)^2)

distance = sqrt(2^2 + 0^2)

distance = sqrt(4)

distance = 2

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Answer:

96

Step-by-step explanation:

Answer: Let's use the following variables to represent the unknown quantities in the problem:

x: the number of cupcakes purchased

y: the number of muffins purchased

From the problem statement, we can write two equations:

The total amount spent on cupcakes and muffins is $21.50:

2x + 1.25y = 21.50

The number of muffins purchased is one fewer than the number of cupcakes:

y = x - 1

These two equations form a system of equations that can be solved simultaneously to find the values of x and y.

Substituting equation 2 into equation 1, we get:

2x + 1.25(x - 1) = 21.50

Simplifying and solving for x:

2x + 1.25x - 1.25 = 21.50

3.25x = 22.75

x = 7

Now that we know x, we can use equation 2 to find y:

y = x - 1 = 7 - 1 = 6

Therefore, the customer purchased 7 cupcakes and 6 muffins, spending a total of $21.50.

Step-by-step explanation:

The number of bags that have zips on them is 28.

To solve this problem, we can use the principle of inclusion-exclusion.

First, we know that the total number of bags is 110.

Next, we know that 24 of the bags have neither zips nor buttons. Therefore, the number of bags that have either zips or buttons is 110 - 24 = 86.

We also know that 32 of the bags have buttons but no zips, and 28 of the bags have zips but no buttons.

To find the number of bags that have both zips and buttons, we can subtract the number of bags that have only buttons from the total number of bags with zips, or vice versa:

Number of bags with both zips and buttons = (Number of bags with zips) + (Number of bags with buttons) - (Number of bags with either zips or buttons)

Number of bags with both zips and buttons = 28 + 32 - 86 = -26

This result is clearly nonsensical, so we can conclude that there are no bags with both zips and buttons.

Therefore, the number of bags that have zips on them is simply the number of bags with zips but no buttons, which is 28.

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Therefore, 11 3/4 - 8 1/2 = 13/4, or 3 1/4 as a mixed number.

A mixed number is a type of number that represents a whole number and a fraction together. It is written in the form of a whole number followed by a fraction, such as 3 1/2. The whole number represents the number of whole units, while the fraction represents the part of a unit.

For example, the mixed number 3 1/2 can be interpreted as three whole units and one half of a unit. Another example of a mixed number is 2 3/4, which represents two whole units and three-quarters of a unit. Mixed numbers are commonly used in everyday life, such as in cooking and measuring, and in mathematical calculations involving fractions.

To subtract mixed numbers like these, we need to convert them to improper fractions first:

[tex]11 3/4 = (4 * 11 + 3)/4 = 47/4[/tex]

[tex]8 1/2 = (2 * 8 + 1)/2 = 17/2[/tex]

Now, we can subtract the fractions:

[tex]47/4 - 17/2[/tex]

To subtract these fractions, we need to find a common denominator. The least common multiple of 4 and 2 is 4 × 2 = 8. We can convert both fractions to have a denominator of 8:

[tex]47/4 = (47/4) * (2/2) = 94/8[/tex]

[tex]17/2 = (17/2) * (4/4) = 68/8[/tex]

Now, we can subtract the numerators:

[tex]94/8 - 68/8 = 26/8[/tex]

Finally, we can simplify the result by dividing both numerator and denominator by their greatest common factor, which is 2:

[tex]26/8 = (2 * 13)/(2 * 4) = 13/4[/tex]

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Answer:your answer is 11

Step-by-step explanation:

Answer:

[tex] \frac{2}{9} \times \frac{3}{8} = \frac{6}{72} = \frac{1}{12} [/tex]

D is the correct answer.

95.61 degrees is equal to 95 degrees, 36 minutes, and 36 seconds or 95° 36' 36".

To convert decimal degrees to degrees, minutes, and seconds

The whole number of the decimal degree will be the degrees

Multiply the decimal part that remains by 60. The whole number of the result will be the minutes.

Multiply the decimal part that remains by 60. The resulting number will be the seconds.

So for 95.61 degrees

The whole number of 95.61 is 95 degrees.

Multiply 0.61 by 60 to get 36.6. The whole number of 36.6 is 36 minutes.

Multiply 0.6 by 60 to get 36 seconds.

Therefore, 95.61 degrees is equal to 95 degrees, 36 minutes, and 36 seconds.

In the format of degrees, minutes, and seconds: 95° 36' 36"

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The answer to the given question after considering the two options is true under the condition all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.      

Probability is also known as the estimation of possible changes of a particular event taking place. Furthermore, it is  important while dealing with calculations in the branch of science and mathematics. It is useful in eliminating the total changes of systematic errors, which are hampering the research population.

Some examples of probability

The probability on the event of rolling a 4 with a die is 1/6.

The probability of getting a tails while tossing a coin is 1/2.

The probability of getting  one  joker from a deck of cards is 1/51.

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The complete question is

All probabilities can be expressed as decimal values ranging from 0.00 to 1.00. True or False

Yes, it is true that all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.

This is because probabilities represent the likelihood of an event occurring, and the probability of an event can range from impossible (0.00) to certain (1.00). Therefore, probabilities are expressed as decimal values between these two extremes.
Hi! Yes, all probabilities can be expressed as decimal values ranging from 0.00 to 1.00. A probability of 0.00 represents an impossible event, while a probability of 1.00 represents a certain event. Values between these two extremes indicate varying levels of likelihood for the event to occur.

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The equation that matches the given graph can be represented by y = x + 7 , on the basis of coordinates of five different points on cartesian-plane.

What is a cartesian-plane?

A two-dimensional coordinate plane known as the cartesian plane is created when the x- and y-axes connect. The origin is the point at where the x- and y-axes cross perpendicularly. The x-coordinate and y-coordinate are the coordinates for each point on this plane. The ordinate and abcissa are other names for the x- and y-coordinates, respectively.

The points through which the given graph passes are:

(2,9) ; (3,10) ; (4,11) ; (5,12) and (6,13)

In (2,9): x=2 and y=9

y-x=7

In (3,10): x=3 and y=10

y-x=7

In (4,11): x=4 and y=11

y-x=7

In (5,12): x=5 and y=12

y-x=7

In (6,13): x=6 and y=13

y-x=7

∴ we can say that the difference of x and y coordinates in each point is 7

y-x=7

y=7+x

The required equation of the graph: y = x + 7

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Answer: 3x=-3

Step-by-step explanation:

In this thing, analysts compared the weight misfortune impact of a medication called lorcaserin to a fake treatment in overweight grown-ups.

The consideration was conducted in a double-blind, randomized comparative try, which suggests that not one or the other the members nor the analysts knew which bunch the members were doled out to.

Moreover, all members gotten eat less and work out counseling to control the impacts of this way of life changes.

After one year, the analysts found that the members who had gotten lorcaserin misplaced a normal 5.8 kg of weight, whereas those who had gotten the fake treatment were misplaced as it was 2.2 kg on normal.

The reality that the contrast in weight misfortune between the two bunches was factually critical (P < 0.001) recommends that the distinction is improbable to be due to chance.

When we say that P < 0.001, we cruel(mean) that there's less than a 0.1% chance that the contrast in weight misfortune between the two bunches might have happened by chance alone.

This recommends that the contrast in weight misfortune between the lorcaserin bunch and the fake treatment gather is likely due to the drug itself and not to arbitrary variety within the consideration that comes about.

In outline, based on the comes about of this think about, there's a great reason to accept that lorcaserin is compelling in advancing weight misfortune in overweight grown-ups, when utilized in conjunction with counting calories and workout counseling. 

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Lorcaserin is a drug that can help with weight loss. In a study, some people were given lorcaserin while others were given a fake pill (placebo) and everyone received advice on how to eat healthier and exercise more.

After one year, the people who took lorcaserin lost an average of 5.8 kilograms (kg) while the people who took the placebo lost an average of 2.2 kg. This means that lorcaserin helped people lose more weight than just diet and exercise alone. The P value (P < 0.001) tells us that the difference between the two groups is very unlikely to be due to chance. This means that the results are reliable and we can trust that lorcaserin is likely to work for most people who take it.

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Check the picture below.

Sally would have invested $1150 initially in the savings account to satisfy the conditions in the question.

A savings account is a type of bank account that helps people save money over time. It offers a safe and secure way to store money while earning interest on the balance. Unlike checking accounts, savings accounts are intended for long-term storage of funds, with a higher interest rate and regular compounding to help the balance grow. Savings accounts offer flexibility in terms of access to funds and usually allow withdrawals at any time with limits on the number of withdrawals without incurring a fee.

To determine how much money Sally initially invested in a savings account that earns 7.2% annual simple interest, we can use the formula for simple interest: I = Prt. Here, I represents the interest earned, P is the initial principal, r is the annual interest rate as a decimal, and t is the time in years.

Given that Sally earned $745.20 in interest over a period of 9 years with an annual interest rate of 7.2%, we can substitute the values into the formula and solve for P:

I = $745.20

r = 7.2% = 0.072 (decimal)

t = 9 years

Now, P = I / (rt)

P = 745.20 / (0.072 * 9)

P = $1150

Therefore, Sally initially invested $1150 in the savings account.

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We would predict using the random sample that 175 students at the school like math.

A confidence interval is a range of values that, with a certain degree of certainty, is likely to contain the real value of a population parameter. In most cases, the level of confidence is stated as a percentage, such as 95% or 99%, and it indicates the likelihood that the parameter's actual value falls within the range. In statistics, confidence intervals are frequently used to calculate an estimate of a population parameter's value from a sample of data. A confidence interval, which offers a range of likely values for the population parameter, is constructed using the sample statistics and the variability of the data.

Given that, 14 out of 20 students like math.

Using proportions we have:

14/20 = 0.7.

Now for 250 students we have:

0.7 * 250 = 175

Hence, we would predict that 175 students at the school like math.

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If the orbital period of Saturn is 29.5 years then the distance of Saturn from the sun is 9.5 AU .

The orbital period of a planet is denoted as P.

A planet's distance from the sun in astronomical units is denoted as a.

The relation between orbital period of a planet and it's distance from the sun is given as,

P = a superscript three halves

or, P = a^3/2

The Saturn's orbital period is P= 29.5 years

Thus from the equation showing the relation between orbital period of a planet and it's distance from the sun in AU (astronomical units ) we get,

29.5 =  a^3/2

or, a^3/2 = 29.5

⇒  [tex]\sqrt{a^3}[/tex] = 29.5

Squaring both sides, we get,

⇒  [tex]a^{3}[/tex] = 870.25

⇒ a =  9.5473  

⇒ a = 9.5 (approximately)

Thus, the distance between Saturn and the sun is 9.5 AU (approximately) when the orbital period of Saturn is 29.5 years.

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The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.

To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:

= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)

= 10 balls.

Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.

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Answer:

The answer is Rises 12F

Step-by-step explanation:

-12 degrees is 12 below zero. To reach zero, you have to go up an equal amount. -12 + 12 = 0

The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.

Explanation

On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).

To find the probability, you can use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

In this case:

Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)

Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%

So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.

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The measure of angle B in the right-angled triangle ACB is 63 degrees.

What is a triangle ?

A triangle is a polygon with three sides, three vertices, and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angle measures.

In a right-angled triangle, the sum of the two acute angles is always equal to 90 degrees. Therefore, we can find the measure of angle B in the right-angled triangle ACB by subtracting the measure of angle A and the right angle from 90 degrees.

Given that [tex]\angle A = 27^\circ[/tex], we can find the measure of angle B as follows:

[tex]\angle B = 180^\circ - \angle A - \angle C[/tex]

Since the triangle is right-angled at C, we know that [tex]\angle C = 90^\circ[/tex]. Therefore, we can substitute the values of [tex]\angle A[/tex] and [tex]\angle C[/tex] in the equation above to get:

[tex]\angle B = 180^\circ - 27^\circ - 90^\circ[/tex]

Simplifying this expression, we get:

[tex]\angle B = 63^\circ[/tex]

Therefore, the measure of angle B in the right-angled triangle ACB is 63 degrees.

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