What is meant by conflict cycle?​

The amount of ingredients necessary to serve 5 people is 3.75 cups spaghetti sauce, 2.5 cups ricotta cheese, and 2.5 cups mozzarella cheese.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

A recipe for 8 servings lists: 6 cups spaghetti sauce 4 cups ricotta cheese and 4 cups mozzarella cheese.

First we take the ratio of ingredients for 8 servings:

spaghetti sauce : ricotta cheese : mozzarella cheese = 6:4:4

The ratio of ingredients for 1 servings:

spaghetti sauce : ricotta cheese : mozzarella cheese = 6/8 : 4/8 : 4/8

The ratio of ingredients for 5 servings:

spaghetti sauce : ricotta cheese : mozzarella cheese

= 5×0.75 : 5×0.5 : 5×0.5

= 3.75 : 2.5 : 2.5

The amount of ingredients necessary to serve 5 people:

Thus, the amount of ingredients necessary to serve 5 people is 3.75 cups spaghetti sauce, 2.5 cups ricotta cheese, and 2.5 cups mozzarella cheese.

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A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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Answer:The new quantity supplied when the price is $348 per cord is  424.

Step-by-step explanation:

The new quantity supplied when the price is $348 per cord is  424.

What is the new quantity supplied?

The supply curve is a graph that shows the relationship between price and quantity supplied. The supply curve has a positive slope.

The slope of the supply curve is the ratio of the change in the value of price divided by the change in the value of the quantity supplied.

Slope = change in price / change in quantity supplied

0.75 = ($348 - $255) /  change in quantity supplied

0.75 = $93 /  change in quantity supplied

change in quantity supplied = 93 / 0.75 = 124

The new quantity supplied = 300 + 124 = 424

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

The inequality is 12b > 180 and the number of books, b, she must sell   in order to meet her goal must be more than 15 (b > 15)

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

Given that:

Erin sells books for $12 each.

She wants to make more than $180 in book sales.

The number of books, b

Erin sells books for $12 each:   12 × b = 12b

More than $180 in book sales:  > $180  (i.e  greater than $180)

Thus, the inequality is:

12b > 180

Solve for b:
12b > 180

Divide both sides by 12

b > 180/12

b > 15

Therefore,  the inequality is 12b > 180 and the number of books, b, she must sell in order to meet her goal is b > 15 (greater than 15)

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This is a mathematical problem that can be solved using algebra. Let P be the original amount borrowed, and R be the interest rate as a decimal (for example, 5% would be represented as 0.05).

We know that at the end of 25 years, the amount borrowed has trebled, so the total amount is 3P. We also know that the interest is calculated using simple interest, which is calculated as P x R x T, where T is the number of years.

So we can set up the equation:

3P = P + P x R x 25

To find R, we can solve for R by dividing both sides of the equation by P:

3 = 1 + 25R

Then by subtracting one from both sides we have :

2 = 25R

Then by dividing both sides by 25 we can find the rate as :

R = 2/25

Finally, to find the interest rate as a percentage, we multiply R by 100:

rate = 2/25 x 100 = 8%

So the interest rate is 8% per annum

Answer:

Let's start by finding the volume of water in the trough as a function of its depth.

At a depth of h cm, the cross-sectional area of the water is an isosceles trapezoid with bases of length b1 = 40 + (h/5) cm and b2 = 90 + (h/2) cm, and height 50 cm. The average width of the trapezoid is (b1 + b2)/2 = 65 + (3h/10) cm. Therefore, the volume of water in the trough at this depth is:

V(h) = 10 m x [(65 + (3h/10)) / 100 cm] x h cm

Simplifying this expression, we get:

V(h) = (13/2000) h^2 m^3

Now, we can use the chain rule to find the rate of change of V with respect to time t, given that dV/dt = 0.1 m^3/min:

dV/dt = (dV/dh) x (dh/dt) = (26/2000) h (dh/dt)

At the moment when the water is 10 cm deep, we have:

h = 10 cm

dV/dt = 0.1 m^3/min

Plugging in these values, we get:

0.1 m^3/min = (26/2000) x 10 cm x (dh/dt)

Solving for dh/dt, we get:

dh/dt = 0.1 m^3/min / (26/2000) / 10 cm

dh/dt ≈ 0.192 m/min

Therefore, the water level is rising at a rate of approximately 0.192 m/min when the water is 10 cm deep.

Answer:

275 days

Step-by-step explanation:

From August 21 to May 23, there is 275 days!

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

h(x) = (x+1)²

h(-2) = 1

h(-1) = 0

h(3) = 8

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

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For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

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Answer:

A, C, and E

Step-by-step explanation:

Question :-

Answer :-

\( \rule {180pt} {2pt} \)

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that the Edge of the Cube is 21 cm . And, we have been asked to calculate the Volume of the Cube .

For calculating the Volume , we will use the Formula :-

Therefore , by Substituting the given values in the above Formula :-

⇒ Volume = ( edge )³

⇒ Volume = ( 21 )³

⇒ Volume = 21 × 21 × 21

⇒ Volume = 441 × 21

⇒ Volume = 9261

Hence :-

\( \underline {\rule {180pt} {4pt}} \)

Answer:

40÷1+3-(3×7)+7-5 = 24

here's the answer

hope it helps!

Out of the four car rental companies, Company A charges the highest deposit of $70, and Companies B, C, and D all charge a deposit of $40. So, the company that charges the lowest deposit is Companies B, C, and D.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find out which company charges the lowest deposit, we need to look at the deposit amount charged by each company.

From the given information, we know that each company charges a deposit plus a fee for each day an economy car is rented. However, the deposit amount is not explicitly stated.

We can find the deposit amount for each company by subtracting the fee for one day from the total charge for renting the car for one day. For example, if the fee for one day is $x$, and the total charge for renting the car for one day is $y$, then the deposit amount is $y - x$.

Using this formula, we can calculate the deposit amount charged by each company:

Company A: Deposit = $140 - $70 = $70

Company B: Deposit = $105 - $65 = $40

Company C: Deposit = $110 - $70 = $40

Company D: Deposit = $100 - $60 = $40

Therefore, out of the four car rental companies, Company A charges the highest deposit of $70, and Companies B, C, and D all charge a deposit of $40. So, the company that charges the lowest deposit is Companies B, C, and D.

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The measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

From the given triangle ABC,

∠A+∠B+∠C=180° (Angle sum property of a triangle)

∠A+32°+85°=180°

∠A+117°=180°

∠A=180°-117°

∠A=63°

We know that, the formula for sine rule is sinA/a=sinB/b=sinC/c

Here, sin63°/a = sin32°/b = sin85°/42

sin63°/a = sin32°/b = 0.9961/42

sin32°/b = 0.9961/42 and sin63°/a = 0.9961/42

0.5299/b = 0.9961/42

0.9961b=22.2558

b=22.2558/0.9961

b=22.34 feet

sin63°/a = 0.9961/42

0.8910/a = 0.9961/42

0.9961a=37.422

a=37.422/0.9961

a=37.57 feet

Therefore, the measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

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The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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Answer:

  4 cm by 7 cm

Step-by-step explanation:

The relation between length and width can be used with the area formula to find the dimensions of the rectangle.

__

Let x represent the width of the rectangle. Then the length is (3x-5). The area is the product of length and width.

  A = LW

  28 = (3x -5)(x)

In standard form, this is ...

  3x² -5x -28 = 0

__

factor

To factor this equation, we are looking for factors of (3)(-28) = -84 that have a total of -5. The factor pairs of -84 are ...

  -84 = -84×1 = -42×2 = -28×3 = -21×4 = -14×6 = -12×7

Sums of these pairs are -83, -40, -25, -17, -8, -5.

The last pair, -12×7, gives us a clue as to how to factor the equation.

  3x² -5x -28 = (3x -12)(3x +7)/3 = (x -4)(3x +7)

Then the equation we want a solution for is ...

  (x -4)(3x +7) = 0

zero product rule

The only positive value of x that makes either factor zero is ...

  x = 4

And the other dimension is ...

  3x -5 = 3(4) -5 = 7

The rectangle is 5 cm wide and 7 cm long.

The function of the centripetal acceleration of the car experiences is

\(\frac{1}{17a^2} = r\).

Centripetal acceleration is the rate at which a body moves through a circle. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude, speed, and direction) when a body travels in a circle,

its direction is continually changing, which causes a change in velocity, which results in acceleration.

Given, A racecar moving along a circular track experiences an inward acceleration that is dependent on the velocity of the car.

We know, The centripetal acceleration formula is given by, \(a_c = \frac{v^2}{r}\).

Therefore, \(\frac{1/17}{a^2} = r\).

\(\frac{1}{17a^2} = r\),

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a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

AC = 30

Step-by-step explanation:

Start with:

\(4x+10=3x-2+2x+7\)

Combine like terms.

\(4x+10=5x+5\)

Subtract \(4x\) from both sides of the equation.

\(10=x+5\)

Subtract \(5\) from both sides of the equation.

\(x = 5\)

Then, substitute \(5\) for \(x\) in \(AC=4x+10\)

\(AC=4(5)+10\)

Multiply.

\(AC=20+10\)

Finally, add.

\(AC=30\)

Answer:

2.2 metres squared

Step-by-step explanation:

We need to find the area of this trapezoid.

The area of a trapezoid is denoted by:

\(A=\frac{(b_1+b_2)h}{2}\), where \(b_1\) and \(b_2\) are the parallel bases and h is the height

Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4

Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:

\(A=\frac{(b_1+b_2)h}{2}\)

\(A=\frac{(0.9+2.3)*1.4}{2}=2.2\)

The answer is thus 2.2 metres squared.

~ an aesthetics lover

Answer:

If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }\)

Step-by-step explanation:

Hello, please find below my work.

\(2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0\)

\(\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Step-by-step explanation:

15% of 20 is 3

Answer:

As chi^2 < 7.815, and P > 0.05, we do not reject null hypothesis.

Thus, there is no significant evidence that the loan approval decision is not independent of the loan officer reviewing the loan application.

Step-by-step explanation:

Find the given attachment

Answer: The vertex of the graph of \(y=x^2\) is shifted to the right 4 units and up 3 units.