The value of x is _____.

Last week, the ratio of bananas sold to watermelons sold was 4 : 3.

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3.

Since there were 48 bananas sold, we can find the number of watermelons sold by subtracting 12 from 48:

48 bananas - 12 = 36 watermelons

Now, we can determine the ratio of bananas sold to watermelons sold. The ratio would be:

Bananas : Watermelons = 48 : 36

To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 12:

48 ÷ 12 = 4
36 ÷ 12 = 3

So, the simplified ratio is:

4 : 3

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3. In other words, out of every 7 fruits sold (4 bananas + 3 watermelons), 4 were bananas and 3 were watermelons. This provides an easy way to understand the proportion of each type of fruit sold at Jun's fruit stand last week.

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Answer:

The angles are 110, 110 and 140

Step-by-step explanation:

Let the equal angles be x.

So we have angles x, x and another third one

Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x

Since they are angles at a point, adding the three together will make or give 360.

Thus,

x + x + x + 30 = 360

3x + 30 = 360

3x = 360-30

3x = 330

x = 330/3

x = 110

So the other third angle is 110 + 30 = 140

So the angles are 110, 110 and 140

Answer:

place it 2 3 4 5 6 7 8 9 10 1 then is come 18

Answer:

2 3 4 5 6 7 8 9 10 1 then come 18

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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yo it mite be 23 have great day

Reliable sources are what make your research paper solid and strong.

Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.

This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.

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well,  the hypotenuse is always a positive value, since it's just the distance from the center to the arc in a circle or between two points, so is never negative, hmmm we know the sine is -1/5, and we also know the cosine is >0, which is another way to say is positive, hmmm let's use that, keeping in mind that the sine is negative and the cosine positive only in the IV Quadrant.

\(sin(\theta )=\cfrac{\stackrel{opposite}{-1}}{\underset{hypotenuse}{5}}\impliedby \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(\pm\sqrt{5^2 - (-1)^2}=a\implies \pm\sqrt{24}=a\implies \stackrel{IV~Quadrant}{+\sqrt{24}=a} \\\\[-0.35em] ~\dotfill\\\\ cot(\theta )=\cfrac{\stackrel{adjacent}{\sqrt{24}}}{\underset{opposite}{-1}}\implies cot(\theta )=-\sqrt{24}\)

Answer:

The surface area of the box is 496² m.

(11*8)+(11*8)+(11*8)+(11*8)+(8*9)+(8*9)=496

The given quadrilateral √JKLM is neither a rhombus nor a rectangle, but just a quadrilateral with four different side lengths of 5, 4√5, √41, and 2√5.

Given the set of vertices J (-4,-1), K (1,-1), L (4,3), and M (-1,3), we need to determine whether √JKLM is a rhombus, rectangle, or square. Let's use the distance formula to solve this problem.The distance formula for two points (x₁, y₁) and (x₂, y₂) is as follows:d = √(x₂ - x₁)² + (y₂ - y₁)²

Let's calculate the distances of all four sides of the quadrilateral:

JK = √[(1 - (-4))² + (-1 - (-1))²] = √(5² + 0²) = 5

JL = √[(4 - (-4))² + (3 - (-1))²] = √(8² + 4²) = √(64 + 16) = √80 = 4√5

LM = √[(-1 - 4)² + (3 - (-1))²] = √(5² + 4²) = √(25 + 16) = √41

MK = √[(-1 - 1)² + (3 - (-1))²] = √(2² + 4²) = √(4 + 16) = √20 = 2√5

Since all four sides of the quadrilateral have different lengths, the shape is not a rhombus. The only type of quadrilateral that has perpendicular sides and all four angles equal is a square. However, since opposite sides of the square must have the same length, and the opposite sides of √JKLM do not, √JKLM is neither a square nor a rectangle.

Therefore, √JKLM is just a quadrilateral.

Hence, we can conclude that the given quadrilateral √JKLM is neither a rhombus nor a rectangle, but just a quadrilateral with four different side lengths of 5, 4√5, √41, and 2√5.

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The range of the function g(x) = x^2 - 2, when the domain is {-2, -1, 1, 3}, is C. {-7, -2, -1, 1}.

To find the range of the function g(x) = x^2 - 2, we need to substitute each value from the given domain into the function and observe the corresponding outputs.

For x = -2, g(-2) = (-2)^2 - 2 = 4 - 2 = 2.

For x = -1, g(-1) = (-1)^2 - 2 = 1 - 2 = -1.

For x = 1, g(1) = (1)^2 - 2 = 1 - 2 = -1.

For x = 3, g(3) = (3)^2 - 2 = 9 - 2 = 7.

Thus, when the domain is {-2, -1, 1, 3}, the corresponding range values are {-7, -2, -1, 1}. Therefore, the correct option is C. {-7, -2, -1, 1}.

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Answer:lakeside 8

Jungle 31

Desert 40

Coast 21

Step-by-step explanation:

Take each one respectively and divide by the total number of people (30,000)

A vector is a quantity that has both magnitude and direction. Magnitude refers to the length of the vector, and direction refers to the direction in which the vector is pointing.

The magnitude and direction of a vector can be used to represent a wide variety of physical quantities, including velocity, force, and acceleration. Component Form of a Vector:If we have a vector, v, with initial point A (x1, y1) and terminal point B (x2, y2), then the component form of v is given by:v = [x2 - x1, y2 - y1]We can then express the result as an ordered pair.

The magnitude (length) of a vector:The magnitude (or length) of a vector can be calculated using the formula:|v| = √(x² + y²)Where x and y are the x and y components of the vector respectively.Direction of a vector:The direction of a vector can be expressed in two ways, by an angle (θ) or by the angle of elevation

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1) Considering that function, we can evaluate it at x=3, i.e. find the corresponding value for f(x) when x=-3

So when we plug x=-3 into that function the corresponding y value is -15

2) Now, the other way around, we've got the y (or f(x)) value -16 let's find the corresponding value for x:

Note that looking attentively at that trinomial, we can see that this is a binomial (x+4)² or (x+4)(x+4) picking on binomial and equating to zero we can get the root. In this case, there's only value for those two roots x=-4

3) Hence the answer is f(-3)=-15, and x=-4

Considering the definition of a line, the equation of the line that passes through the point (5, -3) and has a slope of 6/5 is y= 6/5x -9.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope m, the line has the form: y=6/5x +b

Substituting the value of the point in the previous expression, the value of the ordinate to the origin b can be obtained:

-3= 6/5×5 + b

-3= 6 + b

-3 - 6= b

-9= b

Finally, the equation of the line is y= 6/5x -9.

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Answer:

Tip: $5.22

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:

Step 1: Symbolic Expression

The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.

Step 2: Removing Radical

To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).

So, the expression becomes (57^(1/8))^6.

Step 3: Simplifying Exponents

To simplify the exponent, we multiply the powers:

(57^((1/8)*6))

Simplifying further:

(57^(6/8))

Step 4: Fractional Form

The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(57^(3/4))

Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.

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Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

Answer:

Yes.

Step-by-step explanation:

1) Plug in the given numbers into the equation

4 < 2(-1) + 5

2) Simplify!

4 < -2 + 5

4 < 3

3) Is the statement 4 < 3 true?

Yes! 3 is less than 4, therefore this statement is true.

yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes

a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.

(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:

0² + y² + 6(0) - 4y = 12

y² - 4y = 12

y² - 4y - 12 = 0

To solve this quadratic equation, we can factor it:

(y - 6)(y + 2) = 0

Setting each factor to zero, we find two possible values for y:

y - 6 = 0 => y = 6

y + 2 = 0 => y = -2

Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).

(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:

x² + y² + 6x - 4y = 12

(x² + 6x) + (y² - 4y) = 12

(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4

(x + 3)² + (y - 2)² = 25

Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.

Therefore, the radius of the circle is 5.

(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).

The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates into the formula, we have:

CP = √((2 - (-3))² + (5 - 2)²)

= √(5² + 3²)

= √(25 + 9)

= √34

Therefore, the length of CP is √34.

(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.

Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.

Therefore, the length of PQ is equal to 2 times the length of CP:

PQ = 2 * CP

= 2 * 5

= 10

Therefore, the length of PQ is 10.

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Answer:

Step-by-step explanation:

She will need the amount 1 jar of meat (32 cals, 4g protein) and 2 jars of vegetables (32 cals, 2g protein) to get 4g of protein and 112 calories.

A mother is trying to decide which baby foods to serve her infant. She has a jar of meat with 4g of protein and 32 calories, and a jar of vegetables with 2g of protein and 16 calories. To get the desired amount of protein and calories, she will need to serve 1 jar of meat and 2 jars of vegetables. This will give her 4g of protein and 112 calories total. This combination of foods will provide the infant with the necessary nutrition for growth and development. It's important to make sure that infants are getting enough protein and calories during the first year of life, so this combination of food is a great way to ensure that the infant is getting the nutrients that they need.

1 jar of meat = 4g of protein and 32 calories

1 jar of vegetables = 2g of protein and 16 calories

Therefore, in order to get 4g of protein and 112 calories:

1 jar of meat = 4g of protein and 32 calories

2 jars of vegetables = 4g of protein and 32 calories

Total: 4g of protein and 112 calories

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Answer:

C. 3x - 5

Step-by-step explanation:

The inputs are the values of x and the outputs are the values of y.

checking all options by placing any output as x and seeing if it gives the same output as in the table.

All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")

Let's take x = 4

placing it in 3x - 5

output (y) = 3(4) - 5

= 12 - 5

= 7

same as the output given in the table so the answer is C.

Answer:

$1.35

Step-by-step explanation:

8n = 10.80

Divide both sides by 8 to get n alone.

n = 10.80/8 = $1.35

Answer:

The standard deviation is zero

Step-by-step explanation:

Given that:

Web site W receives orders for its products every day.

What is the standard deviation of the numbers of orders that Web site W received daily for the past 5 days?

If :

(1) The average (arithmetic mean) number of orders that Web site W received per day for the past 5 days is equal to the greatest of the numbers of orders that Web site W received daily for the past 5 days.

SO, IF the average (arithmetic mean) is greatest , therefore, this implies that the  number of orders per day remains the same. Then the standard deviation will be zero because the set of values for the number of orders per day for the five days is the same.( i.e contains identical numbers).

.(2) The range of the numbers of orders that Web site W received daily for the past 5 days is equal to 0.

The range is the difference between the greatest value and the smallest value.

i.e

greatest value -  smallest value = 0

greatest value =  smallest value

Therefore , the range is zero and the standard deviation will remain the same (zero)

one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

Step-by-step explanation:

for 2.2 you would still have 5^2 in brackets still

same kind of error for 2.1

Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs.

To find the break-even point, we need to determine the number of purses that Shirabi needs to sell in order to cover her costs and not incur any loss. The equation representing her break-even point is given as:

208 + 10x

Here, 208 represents the cost of the sewing machine, and 10x represents the total cost of thread, fabric, and accessories for each purse, multiplied by the number of purses sold.

To find the break-even point, we need to set the equation equal to zero:

208 + 10x = 0

Now, let's solve for x:

10x = -208

x = -208/10

x = -20.8

Since the number of purses sold cannot be negative, we can disregard the negative solution. Therefore, Shirabi's break-even point is when she sells 20 purses.

Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs. Selling fewer than 20 purses would result in a loss, while selling more than 20 purses would generate a profit.

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