Find the line of best fit for the relationship between calories and fat.

y=0.0714x-9.2682
y=1.2653x+14.452
y=2.5612x+4.9045
y=1.139x-6.7093

If baskets B and C are on the same indifference curve and preferences satisfy all four of the basic assumptions in economics, it means that the individual considers both baskets equally preferable and is indifferent between them.

In economics, an indifference curve represents a set of combinations of goods or baskets that provide the same level of utility or satisfaction to an individual. If baskets B and C are on the same indifference curve, it means that the individual derives the same level of satisfaction from both baskets.

The four basic assumptions in economics regarding preferences are completeness, transitivity, more is better, and diminishing marginal rate of substitution. Completeness assumes that individuals can rank any two baskets in terms of preference. Transitivity suggests that if an individual prefers basket A to B and basket B to C, then the individual also prefers basket A to C. The assumption of "more is better" implies that individuals prefer more of a good to less. Diminishing marginal rate of substitution posits that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.

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The complete question is:

Consider the following three market baskets:

Food Clothing

A 6 3

B 8 5

C 5 8

If preferences satisfy all four of the basic assumptions:

A. A is on the same indifference curve as B.

B. B is on the same indifference curve as C.

C. A is preferred to C.

D. B is preferred to A.

E. Both A. and B. are correct.

Answer:

x = 11.5, y = -5.5.

As an ordered pair this is (11.5, -5.5).

Step-by-step explanation:

2x+4y=1               Multiply this by 3:

3x+5y=7               Multiply this by -2.

6x + 12y = 3

-6x - 10y = -14       Adding these 2 equations:

0 + 2y = -11.

y = -11/2

y = -5.5.

Now plug this into the first equation:

2x + 4(-5.5) = 1

2x = 1 + 22

x = 23/2

x = 11.5.

Step-by-step explanation:

6 + 3y + 4 < 6

10 + 3y < 6

3y < -4

y < -4/3

Answer:

y < -4/3

Step-by-step explanation:

6+ Зу + 4 < 6

Combine like terms

10 +3y < 6

Subtract 10 from each side

10 +3y - 10 < 6-10

3y < -4

Divide each side by 3

3y/3 < -4/3

y < -4/3

Answer:

x=2

Step-by-step explanation:

you would add -3x on both sides, then that cancels out, and then the equation would be 2=5x-8. Then you would add 8 to both sides then it would be 10=5x. Then you would divide 5 by both sides, then it will be x=2.

Answer:

2) 3&5 are the same side interior angle

Answer:

B

Step-by-step explanation:

-1+4=3

The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Answer:

The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes because of this control.

Step-by-step explanation:

Answer:

4800 ft²

Step-by-step explanation:

Given that :

Area of cabin = 800 ft²

Width of cabin = 20 feets

Side yard setback of building = 20 feets

Depth of lot = 80 feets

The cabin is a rectangle :

Area of rectangle = Length * Width

800 = length * 20

Length = 800 / 20 = 40 feets

Hence,

Width of lot = side yard + Width of cabin = (20 + 20) = 40 feets

Length of lot = depth +. Length of cabin = (80 + 40) = 120 feets

Area of lot = Length of lot * width of lot

Area of lot = 120 ft * 40 ft = 4800 ft²

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

V≈37.7ft³

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

To find the 6th term of the geometric sequence, we first need to determine the common ratio (r) of the sequence. We can do this by using the formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)

We know that a1 = -4,096 and a4 = 64, so we can substitute these values into the formula to get:

a4 = a1 * r^(4-1)

64 = -4,096 * r^3

Dividing both sides by -4,096 gives:

r^3 = -64/4096

r^3 = -1/64

Taking the cube root of both sides gives:

r = -1/4

Now that we know the common ratio is -1/4, we can use the formula for the nth term of a geometric sequence to find the 6th term:

a6 = a1 * r^(6-1)

a6 = -4,096 * (-1/4)^5

a6 = -4,096 * (-1/1024)

a6 = 4

Therefore, the 6th term of the geometric sequence is 4, so the answer is (b) 4.

To find the 6th term of the geometric sequence, we first need to determine the common ratio (r) of the sequence.

The 6th term of the geometric sequence where a1 = −4,096 and a4 = 64 is d. -4.

Given, a1 = -4096, a4 = 64We know that, the nth term of a geometric progression with first term a and common ratio r is given by an = ar^(n-1)Let's find the common ratio of the sequence.a4 = ar^3⟹64

= -4096r^3⟹r^3 = -\(\frac{64}{4096}\) = -\(\frac{1}{64}\)Thus, r = -\(\frac{1}{4}\)

The 6th term of the geometric sequence with first term a1 = -4096 and common ratio r = -\(\frac{1}{4}\) is given by;a6 = a1 * r^5Substituting the values of a1 and r, we get;a6 = -4096 * (-\(\frac{1}{4}\))^5⟹a6 = -4096 * \(\frac{1}{1024}\)⟹a6 = -4

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The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge.

When applying the z-transform on the sequence h, the ROC concept is applied to the function H(z) (n). The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge. Neither X(z), the input, nor Y(z), the output, are involved in the ROC.

The region (regions) where the z-transform converges is known as the region of convergence (ROC). We can uniquely determine the inverse z-transform thanks to ROC. Let's first think about some examples. The unit sample δ(n)has z-transform 1 , hence ROC exists all the z plane .

The Registrar of Companies assigns the company registration number, or CIN number as it is known in India (ROC). The Ministry of Corporate Affairs oversees the ROC, which is present in several Indian states. It is utilized to locate the essential information for every firm that is registered in India.

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Answer:

Clockwise

Step-by-step explanation:

Sorry I answered late

Answer:Clockwise

Step-by-step explanation:

The length of Adrianna's bedroom that has a perimeter of 90 feet and a width of 15 feet is 30 feet.

To find the length of Adrianna's bedroom, we can use the formula for the perimeter of a rectangle:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

We are given that the perimeter is 90 feet and the width is 15 feet, so we can substitute those values into the formula:

90 = 2l + 2(15)

Simplifying:

90 = 2l + 30

Subtracting 30 from both sides:

60 = 2l

Dividing both sides by 2:

30 = l

Therefore, the length of Adrianna's bedroom is 30 feet.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &6 \end{cases} \\\\\\ A=550[1+(0.08)(6)]\implies A=550(1.48)\implies A=814\)

The percentage decrease is 20.4%

Percent decrease refers to the percentage change in the value when it is decreased over a period of time.

For example if the price of abook reduced from $100 to $80, the percentage decrease = 100-80/100 × 100 = 20%

Percentage decrease = change in value/ original value ×100

change in value = 87.95-70

= £17.95

original value = £87.95

Percentage decrease = 17.95/87.95 × 100

= 20.4%

Therefore the percentage decrease in the value is 20.4%

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Given:

Where the Mean (μ ) and Standard Deviation (σ) for a Normal Distribution, you need to find:

Where "X" is the number of hours worked per worker.

In order to calculate that probability, you should approximate to a Standard Normal Distribution. Therefore, you need to find z-statistic:

The value of "X" you must use is:

Then, substituting values and evaluating, you get:

Therefore, now you need to find:

Now you need to use the Standard Normal Distribution Table in order to find the value of the probability. Then, you get:

Hence, the answer is:

A discrete random variable is a random variable that may assume either a finite number of values or an infinite sequence of values.

A discrete random variable is a random variable that has either a finite number of possible values ​​or an infinite range of possible values.

Random variables are numerical representations of the results of statistical experiments. A discrete random variable is a random variable that can only take on a finite number or infinite range of values; a continuous number is a number that can take any value within a specific range on the line of real numbers.

A discrete random variable has a countable number of different possible values, such as 0, 1, 2, 3, 4, etc. Often, but not always, discrete random variables are counts.

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Answer:

suppose X for billy and Y for tommy

now

X+5=12

or, X=12-5

or, X=7

hence answer is optionD

Answer:

D. 7 Cars

Step-by-step explanation:

If Tommy has 12 cars and it's 5 more than Billy

You do the inverse of addition which is Subtraction

12 - 5 = 7

In Detail:

a = Billy (Answer)

b = +5 (more or less / difference)

c = Tommy (12)

a + b = c

a + 5 = 12

Now you find out something that when you add 5 to it makes 12

You can do this by bringing the +5 to the 12 but you have to change it to a -5

So:

a + 5 = 12 turns to a = 12 -5

12 - 5 = a

7 = 12 - 5 or 12 - 5 = 7

The answer is 7

(sorry if I'm confusing)

The approximate area of the strip in terms of x is (b × thickness × (h - x)) / h.

The approximate area of a strip in terms of x can be found by using the formula for the area of a rectangle, which is length × width. In this case, the length of the strip is the base of the inverted isosceles triangle, and the width of the strip is the thickness.

Since the base of the inverted isosceles triangle is b, and the height of the triangle is h, we can use similar triangles to find the length of the strip in terms of x. The ratio of the length of the strip to the base of the triangle is the same as the ratio of the distance from the top of the strip to the top of the triangle (h - x) to the height of the triangle (h).

So, we can write the equation:

length / b = (h - x) / h

Cross-multiplying and solving for length, we get:

length = (b × (h - x)) / h

Now, we can plug in the values for length and width into the formula for the area of a rectangle to find the approximate area of the strip:

area = (b × (h - x)) / h × thickness

Simplifying, we get:

area = (b × thickness × (h - x)) / h

So, the approximate area of the strip in terms of x is (b × thickness × (h - x)) / h.

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Answer:

Horiz asym y=-4/5

Vertical asym x=0

x intercept (5,0)

y intercept : none

Step-by-step explanation:

When trying to determine the existence and nature of a solution for a system of equations, having the equations themselves provides a more reliable and accurate approach.

If I am trying to decide whether a system of equations has a solution, I would prefer to have the equations rather than the graphs. The reason is that the equations provide a more precise and direct way to analyze and determine the solution.

With the equations, I can perform algebraic operations such as substitution, elimination, or matrix methods to solve the system. This allows me to find the exact values of the variables that satisfy both equations simultaneously. By manipulating the equations algebraically, I can determine if there is a unique solution, infinitely many solutions, or no solution at all.

On the other hand, relying solely on the graphs may introduce some degree of subjectivity and approximation. Graphs can give a visual representation of the equations and their intersection points, but they might not provide precise values for the solution.

Graphs are useful for providing a geometric interpretation and a general understanding of the system, but they may not be sufficient for precise calculations.

Therefore, when trying to determine the existence and nature of a solution for a system of equations, having the equations themselves provides a more reliable and accurate approach.

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Answer:

they are both circles

Step-by-step explanation:

The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

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There are 676,000 different license plates that can be formed in the given state.

To find the number of different license plates that can be formed in the given state,

we have to first determine the number of possibilities for each character in the license plate.

There are 10 possible digits (0 through 9) that could appear in the first, second, or third position of the license plate.

So, there are 10 x 10 x 10 = 1000 possible combinations for the three-digit number portion of the license plate.

Similarly,

There are 26 letters in the English alphabet, and since we are considering replicates, each of the two letters in the license plate could be any one of the 26 letters.

So, there are 26 x 26 = 676 possible combinations for the letter portion of the license plate.

To find the total number of different license plates that are possible,

We just have to multiply the number of possibilities for the number portion by the number of possibilities for the letter portion,

Therefore,

⇒ 1000 x 676 = 676,000

Hence, there are 676,000 different license plates that can be formed in the given state.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

6/15=height of lamp/(15+15); 6/15=height of lamp/30; height of lamp=(30/15)6=2×6, 2 times taller.

(Lamp is 12 feet tall)

Step-by-step explanation:

Answer:

Bob is 0.83 ounces heavier than Fran