At the fast food restaurant, an order of fries costs $0.96 and a drink costs $0.90. How
much would it cost to get 2 orders of fries and 5 drinks? How much would it cost to
get f orders of fries and d drinks?

According to the question we have  approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To answer this question, we will use the normal distribution formula and z-score.

First, we need to find the z-score for the lower limit of $1.20:

z = (1.20 - 1.50) / 0.10 = -3

Next, we need to find the z-score for the upper limit of $1.80:

z = (1.80 - 1.50) / 0.10 = 3

Now, we can use a z-table to find the area under the curve between these two z-scores.

The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.

To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:

0.9987 - 0.0013 = 0.9974

Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

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Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

A: 25

B: 800

C: 2,400

Step-by-step explanation:

Hopes this helps. :) ( Unless you have already solved ) Just have a good day.

Answer:

A: 25

B: 800

C: 2,400

Step-by-step explanation:

Answer:

-20/33

Step-by-step explanation:

y2 - y1 / x2 - x1

1/6 - (-1/4) / -5/16 - 3/8

5/12 / -11/16

= -20/33

Answer:

When the polynomial was split into two parts we still had to keep the "/3" under each one.

Then the highlighted parts were "reduced" (6/3 = 2 and 3/3 = 1) to leave the answer of 2x-1

Answer:

6(172) = 1032

Step-by-step explanation:

Since 42 gallons is 6 times the 7 gallons

he will go 6 times as far

Answer: x=1308.8

Step-by-step explanation:

Answer:

Triangle c

Step-by-step explanation:

First is Isosceles as the two sides are the same. The second is also isosceles and the fourth does not make a right angle.

The main answer of what should a student write as the final balanced equation for balancing the equation using the half-reaction method are given below:2Br⁻ → Br₂ + 2e⁻  (Multiply by 2)Cl₂ + 2e⁻ → 2Cl⁻ (Balanced)Add both reactions to eliminate electrons:2Br⁻ + Cl₂ → Br₂ + 2Cl⁻

The half-reaction method is used to balance an equation where the reaction is separated into two separate half-reactions: an oxidation half-reaction, which loses electrons and the reduction half-reaction, which gains electrons. This method is used for balancing redox reactions.According to the question, the two half reactions that are given are as follows:2Br⁻ → Br₂ + 2e⁻...

Equation 1Cl₂ + 2e⁻ → 2Cl⁻...Equation 2In order to balance this equation using the half-reaction method, the electrons must be eliminated from both equations. To remove the electrons from equation 1, it is multiplied by 2, and it becomes:2Br⁻ → Br₂ + 2e⁻. . .Equation 1'Now, add both the half-reactions to eliminate the electrons:2Br⁻ + Cl₂ → Br₂ + 2Cl⁻. . .Balanced EquationTherefore, the final balanced equation for the given reaction by using the half-reaction method should be 2Br⁻ + Cl₂ → Br₂ + 2Cl⁻.

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The graph could be the graph of f(x) which is the correct answer would be option (B).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

We are given the degree of the polynomial function f(x) to be 3; and

the roots of the equation f(x) to be 0 are -1, 0, and 4.

So we will put these values in the polynomial function of degree 3 to get:

f(x) = (x  -(-1))(x-0)(x-4)

f(x) = (x  + 1)x(x-4) = x³ - 3x² - 4x

According to this, the x-intercepts of this function on the graph will be:

(0, 0)

(-1, 0)

(4, 0)

So we will look for a graph that intercepts the x-axis at these points.

Therefore, the graph of the option (B) at the bottom right satisfies the conditions and is the graph of f(x).

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The height of the building is approximately 554.26 feet.

To find the height of the building, you can use the tangent formula in trigonometry. The formula you need is:
height = distance × tan(angle)
where "height" is the height of the building, "distance" is the distance from the base of the building, and "angle" is the angle of elevation.
In this case, the distance is 2 miles and the angle of elevation is 3 degrees. First, convert the angle to radians:
angle (in radians) = angle (in degrees) × (π/180)
angle (in radians) = 3 × (π/180) ≈ 0.05236 radians
Now, plug the values into the formula:
height = 2 miles × tan(0.05236 radians)
To get the height in feet, convert miles to feet (1 mile = 5280 feet):
height = (2 × 5280) × tan(0.05236 radians) ≈ 554.26 feet

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The IH states that the sum of the angles in convex polygon C(which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A.

Using induction all convex polygons with n vertices have angles that add to (n - 2)·π, therefore let P(n) be that. We will demonstrate that P(n), where n≥3, holds for every n ∈ N. We demonstrate P(3), which states that any convex polygon with three vertices has an angle total of 180 degrees. Any triangle formed by such a polygon has angles that add up to 180°.

Assume that P(n) holds for some n ≥ 3 and that all convex polygons with n vertices have angles that add to (n-2) 180° for the inductive step. We demonstrate P(n+1), which states that each convex polygon with n+1 vertices has an angle sum of (n-1)·π. Let A represent any n+1-vertex convex polygon.

The IH states that the sum of the angles in convex polygon C (which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A. As a result, the total angle in A is (n-1) 180°. Thus, the induction is complete and P(n + 1) holds.

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a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.

An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.

a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.

b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.

   2x⁴ − 3x³ − 2x² − 4x − 1

 +---------------------------------------

x  |   2x⁵    -3x⁴    -2x³    -4x²   -x

 |

3  |   6x⁴    -9x³    -6x²    -12x    -3

 +---------------------------------------

c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.

    x + 8      x - 5

 +--------------------

x  |  x² + 8x   x² - 5x

 |

-5 | -5x + -40   -5x + 25

 +--------------------

The final total area can be found by adding up the areas of the smaller rectangles:

Total area = x² + 8x + x² - 5x - 5x - 40 + 25

= 2x² - 10x - 15

= 2x² - 10x - 15.

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The cost of one daylily is $2.

The cost of one geranium is $1.

Let x be the cost of one daylily and y be the cost of one geranium. We can set up the following system of equations:

```

x + 3y = 12

10x + y = 33

```

We can solve this system of equations by multiplying the first equation by -10 and adding it to the second equation. This gives us:

```

9x = 21

x = 2

```

Substituting this value into either of the original equations, we can solve for y:

```

2 + 3y = 12

3y = 10

y = 3.33

```

Therefore, the cost of one daylily is $2 and the cost of one geranium is $1.

Here is a table showing the steps involved in solving the system of equations:

| Equation | Step | Result |

|---|---|---|

| x + 3y = 12 | Multiply by -10 | -10x - 30y = -120 |

| 10x + y = 33 | Add the two equations | -29y = -87 |

| y = -87 / -29 | Divide both sides by -29 | y = 3 |

| x + 3(3) = 12 | Substitute y = 3 into the first equation | x + 9 = 12 |

| x = 2 | Subtract 9 from both sides | x = 2 |

As you can see, the solution to the system of equations is x = 2 and y = 3. This means that the cost of one daylily is $2 and the cost of one geranium is $1.

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Answer:

The answer is B.

Step-by-step explanation:

The original graph of y = x^2 has a vertex at (0,0)

The formula for graph translations is y = (x-#)^2+#

The number inside the parentheses is a horizontal translation.

So, we are given y = (x-(-3))^2+#

The vertex of the graph moves 3 points left, since the number is negative (-3).

The number at the end of the equation is a vertical translation.

So, we are given y = (x+3)^2+4

The vertex of the graph moves 4 points up, since the number is positive (4).

The new vertex is at (-3,4)

Step 1: The proposed probe for flaw detection in type 316L austenitic stainless steel plates is an eddy current probe with a suitable height, diameter, and frequency.

Step 2: Eddy current testing is an effective non-destructive testing method for detecting flaws in conductive materials. In this case, the eddy current probe should have a suitable height, diameter, and frequency to ensure accurate flaw detection.

The height of the probe should be adjusted to maintain a constant lift-off of 0.2 mm, which is the distance between the probe and the surface of the material being tested. This ensures consistent measurement conditions and reduces the influence of lift-off variations on the test results.

The diameter of the probe should be selected based on the size of the flaws and the desired spatial resolution. It should be small enough to accurately detect the flaws but large enough to cover the entire flaw area during scanning.

The frequency of the eddy current probe determines the depth of penetration into the material. Higher frequencies provide shallower penetration but higher resolution, while lower frequencies provide deeper penetration but lower resolution. The frequency should be chosen based on the expected depth of the flaws and the desired level of sensitivity.

Overall, the eddy current probe with suitable height, diameter, and frequency can effectively detect the artificial flaws in type 316L austenitic stainless steel plates fabricated using a powderbed-based laser metal additive manufacturing machine.

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The composite functions of  (f o g)(x), (g o f)(x) and their domains in the function f( x ) = x² + x and  g( x ) = 1/(x+1) are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R } respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, set up the composite result function (f o g)(x).

(f o g)(x) = f( g(x) )

f( x ) = x² + x

f( g(x) ) = f( 1/(x+1) )  = ( 1/(x+1) )² + 1/(x+1)

Apply product rule to simply

f( g(x) ) = 1² /(x+1)² + 1/(x+1)

f( g(x) ) = (1 + x + 1 )/ (x+1)²

f( g(x) ) = (x+2) / (x+1)²

Next, find the domain by equating the denominator to 0 and solve for x.

x + 1 = 0

x = -1

Domain: {x|x ≠ -1 }

For (g o f)(x), set up the composite result function (g o f)(x).

(g o f)(x) = g( f(x) )

g( x ) = 1/(x+1)

g( f(x) ) = g( x² + x ) = 1/( (x² + x) + 1 )

g( f(x) ) = 1/( (x² + x) + 1 )

g( f(x) ) = 1/(x² + x + 1 )

Next, find the domain by equating the denominator to 0 and solve for x.

x² + x + 1 = 0

x = ( -1±√(1² - 4 ×(1×1) ) / (2 × 1 )

x = (-1±i√3)/2

x = (-1+i√3)/2, (-1-i√3)/2

Hence,

Domain is set of all real numbers.

Domain: {x|x ∈ R }

Therefore the composite functions and their domain are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R }.

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The number of significant figures is:

c. 3

The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits.

To determine the number of significant figures in the result of a sum, we need to consider the least number of significant figures present in the numbers being added.

In the given sum, we have 8.5201 and 1.93.

The number 8.5201 has five significant figures, and the number 1.93 has three significant figures.

When we add these two numbers, the result is 10.4501.

Since 1.93 has three significant figures, the result of the sum should also have three significant figures.

Therefore, the number of significant figures is:

c. 3

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Answer:

(0, -5)

Step-by-step explanation:

the y-intercept of the parabola is when x = 0 (crossing the y axis)

We have shown that

\(\int\limits^b_a {f(x)} \, dx = 1\)

Let's evaluate the integral using integration by substitution:

Let \(u = S(x) dt\), then du/dx = S'(x)

Using the chain rule for integration, we get:

\(\int\ {f(x)} \, dx = \int\ {f(S(x))S'(x)} \, dx\)

Now we can substitute u = S(x) and du/dx = S'(x) to get:

\(\int\ {f(x)} \, dx = \int\ {f(u)} \, du/S'(x)\)

We can also evaluate the limits of integration. When x = 0, we have u = S(0) = a, and when x = x0, we have u = S(x0) = b.

Substituting these limits into the integral, we get:

\(\int\limits^b_a {f(x)} \, dx = \int\limits^{S(x_0)}_{S(0)} {f(u)} \, du/S'(x)\)

Now we can use the given condition that

\(S^of(t)dt = 1\)

to simplify the integral. Recall that the composition of the function S with f gives a new function g(u) = f(S(u)), so we can write:

\(S^of(t)dt = \int\limits^b_a {f(S(u))S'(u)} \, du = 1\)

Substituting this into the previous integral, we get:

\(\int\limits^b_a {f(x)} \, dx = \int\limits^{S(x_0)}_{S(0)} {g(u)} \, du/S'(x) = \int\limits^{S(x_0)}_{S(0)} {g(u)} \, du/(S^of(u))\)

Now we can make a substitution to simplify the denominator. Since \(S^of(u) = 1\), we have:

\(\int\limits^b_a {f(x)} \, dx = \int\limits^{S(x_0)}_{S(0)} {g(u)} \, du\)

Finally, substituting back u = S(x), we have:

\(\int\limits^b_a {f(x)} \, dx =\int\limits^{S(x_0)}_{S(0)} {f(S(x))S'(x)} \, dx\)

\(= \int\limits^{S(x0)}_{S(0)} {f(t)} \, dt\)

\(= S^of(t)dt = 1\)

Therefore, we have shown that

\(\int\limits^b_a {f(x)} \, dx = 1\)

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Answer:

there will be eight rows

Answer:

it means an exponent like 10 to the power of 3 would look like this \(10^{3}\)

Hopes this helps please mark brainliest

Step-by-step explanation:

The line that is parallel to y = 1/5x + 4, is A. 5 y - x = 6.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. No matter how far we extend a parallel line, it will never meet another parallel line.

As mentioned parallel lines will have the same slope so the line that is parallel to y = 1/5x + 4 would have the same slope of 1 / 5.

Converting the first option to slope intercept form gives:

5 y - x = 6

5 y = 6 + x

y = 6 / 5 + x / 5

y = 1.2 + 1 / 5 x

This slope is the same as y = 1/5x + 4 so they are parallel.

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Answer:

5m + 4

Step-by-step explanation:

2(2m + 2) + m is the question so you first distribute

2(2m+2) is equal to 4m + 4 (you had to do 2 times 2m plus 2 times 2)

So now you have 4m + 4 + m

Now you add like terms which in this case is 4m + m and 4 stays the same

So you get 5m + 4

Answer:

5m + 4

Step-by-step explanation:

2(2m + 2) + m

4m + 4 + m

5m + 4

Hope this helps!

Answer:

✔The graph of the system consists of lines that have exactly one point of intersection.

✔The system has no solution

✔The system has exactly one solution.

✔The system has more than one solution.

Step-by-step explanation:

A system of linear equation is known to be a set of one or more linear equations which involve the same set of variables.

A system linear equation can have no solution, exactly one solution or infinitely one solution. When they have one solution, the lines have exactly one point of intersection. When they have no solution, the lines are parallel and when they have more than one solution, the equations are the same.

Answer:

  $8.00

Step-by-step explanation:

The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.

__

Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...

  a - c = 1.50 . . . . . . . adult tickets are $1.50 more

  175a +325c = 3512.5 . . . . . total revenue from ticket sales.

__

We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...

  c = a -1.50

Substituting that into the second equation, we have ...

  175a +325(a -1.50) = 3512.50

  500a -487.50 = 3512.50 . . . . . . simplify

  500a = 4000 . . . . . . add 487.50

  a = 8 . . . . . . . . . divide by 500

An adult ticket costs $8.

Answer:

120 different possible lunch specials

Step-by-step explanation:

To calculate the overall number of possible lunch specials that can be made we would need to multiply together all of the options from each one of the items found in the lunch special. These values are provided in the question so we can simply multiply them all together to calculate the total possible lunch specials that can be made...

3 * 2 * 5 * 4 = 120 possibilities

Finally, we can see that there are a total of 120 different possible lunch specials that can be made with the availble options.

According to the experiments initiated by Serge Moscovici in Paris, it is true that "when a minority consistently doubts the majority wisdom, majority members become free to express their own doubts". Option C is correct.

This is because consistent doubt by the minority causes the majority to engage in more critical thinking and reevaluate their own beliefs, leading to greater openness to alternative perspectives and increased potential for change. Moscovici found that a minority that wavers is less influential because it is seen as uncertain and unstable, while a majority that conveys self-confidence can reinforce the status quo and discourage alternative viewpoints.

Additionally, while majority influence often stimulates deeper processing of arguments, minority influence triggers a more superficial, automatic form of agreement, as individuals conform to the minority to avoid social discomfort or disapproval.

Option C holds true.

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According to the experiments initiated by Serge Moscovici in Paris "When a minority consistently doubts the majority wisdom, majority members become free to express their own doubts." The correct option for the given question is option C.

Minority influence is a social psychological phenomenon that occurs when a minority of members within a group affects the behavior or beliefs of the majority group members. Serge Moscovici initiated some experiments in Paris on the determinants of minority influence.

According to the experiments initiated by Serge Moscovici in Paris, the following is true of the determinants of minority influence: When a minority consistently doubts the majority's wisdom, majority members become free to express their own doubts. Thus, Option C is the correct answer.

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