As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports their revenue for the year as 0.15 of the company's revenue, and the other restaurant reports 21% of the company's revenue. What is the total percentage of the company's revenue that your two stores report? 3.6% 6% 21.15% 22.5% 36%

Answer:

a parallelogram

i think i spelled that right lol

Step-by-step explanation:

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Answer:

x=12

Step-by-step explanation:

Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.

Now looking at the question, we know one side is 90 degree since it is a right triangle.

180-90=90

This let us know that the remaining two angles will have to add up to equal to 90 degrees.

2x+1+5x+5=90

First, combine like terms.

7x+6=90

Now we have to get x by itself, subtract 6 on both sides then divide by 7.

7x=84

x=12

Step-by-step explanation:

2-6i-2i=18

-8i=16

i=-2

i is the variable here so you need to isolate it.

We see a number multiplied to a ( ) so let's use the distributive property first!

2*1-2*3i-2i=18

Now combine liked terms

2-8i=18

We should subtract 2 from both sides of the equation to isolate the term containing i

2-8i-2=18-2

-8i=16

Now we divide -8 from both sides to isolate i completely by itself.

-8i/-8=16/-8

i=-2

Now check our work!

2(1-3*-2)-2*-2=?=18

2(1+6)+4=?=18

14+4=18

Therefore i=-2 is correct!

Answer:

48-x

Step-by-step explanation:

6(x-2) + 5(x+12)-12x

6x-12+5x+60-12x

6x+5x-12x-12+60

-x+48

The equation of the tangent plane to the surface S at point P(3,7,-4) is 3x - 76y + 813z - 1853 = 0, using the normal vector obtained from the cross product of the tangent vectors.

The equation of the tangent plane to the surface S at point P(3,7,-4) can be found by using the normal vector of the plane. To obtain the normal vector, we need to find the cross product of the tangent vectors of the curves r1(t) and r2(s) at point P.

First, we find the tangent vectors by taking the derivatives of the given parametric equations:

r1'(t) = ⟨10t+1, 3, -1⟩

r2'(s) = ⟨6s, 2s+24, (2s+1)^2⟩

Evaluating the tangent vectors at point P(3,7,-4):

r1'(3) = ⟨31, 3, -1⟩

r2'(2) = ⟨12, 26, 25⟩

Next, we take the cross product of the tangent vectors:

n = r1'(3) x r2'(2) = ⟨3, -76, 813⟩

The normal vector of the plane is given by n = ⟨3, -76, 813⟩.

Finally, we can write the equation of the tangent plane using the point-normal form of a plane equation:

3(x - 3) - 76(y - 7) + 813(z + 4) = 0

Simplifying the equation, we get:

3x - 76y + 813z - 1853 = 0

Therefore, the equation of the tangent plane to the surface S at point P(3,7,-4) is 3x - 76y + 813z - 1853 = 0.

In summary, the equation of the tangent plane to the surface S at point P(3,7,-4) is 3x - 76y + 813z - 1853 = 0, where the normal vector of the plane is ⟨3, -76, 813⟩ obtained from the cross product of the tangent vectors of the given curves.

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The percent change from 1994 to 1995 can be computed by which of the following methods.

The percent change from 1994 to 1995 would be computed by the following

Formula: Percent Change = ((New Value - Old Value) / Old Value) x 100Where,

Old Value = Annual caseloads in 1994 = 750

New Value = Annual caseloads in 1995 = 820

Let's put these values into the formula and calculate the percent change.

Percent Change = ((820 - 750) / 750) x 100

Percent Change = (70 / 750) x 100

Percent Change = 0.093 x 100

Percent Change = 9.3%

Therefore, the percent change from 1994 to 1995 would be 9.3%.

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The only number that is irrational is π

An irrational number is a number that can't be written as the quotient between two integers.

Also, square roots of non-square numbers are irrational.

In this case, the options are:

-15/4

-7/9

√4

π

The first 3 of these are rational, and the only irrational one is π, which is the quotient betwen the cicumference and the diameter of a circle.

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according to the central limit theorem, as sample size increases, the population from which the sample was taken approaches the normal distribution is a True.

The Central Limit Theorem states that when the sample size of a population increases, the sampling distribution of the mean of that population will become normally distributed, regardless of the distribution of the population from which it was taken.The Central Limit Theorem states that, as sample size increases, the distribution of the sample mean will approach a normal distribution, regardless of the shape of the data’s original population distribution. The larger the sample size, the more closely the sample mean will approximate a normal distribution. This means that, regardless of the distribution of the population from which the sample is taken, the sampling distribution of the mean will approach a normal distribution as the sample size increases.

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What is 16% of 78? Round to the nearest tenth.

16% = 0.16

so:

0.16 * 78 = 12.48

round:

12.5

Step-by-step explanation:

1/4096

0.000244140625

2^-12

1/(2^12)

All of the above expressions are equivalent to (12⁻₂)₈, which is a decimal representation of a number that is obtained by dividing 1 by 2 raised to the power of 12. The first and second expressions are decimal representation of the number, the third one is the representation of the number by using the base 2 logarithm, and the fourth one is the mathematical representation of the number by dividing 1 by 2 raised to the power of 12.

if the test statistic falls outside this range, we would reject the null hypothesis and conclude that students take more than 2 classes per quarter on average.

The rejection region is the set of values that, if the test statistic falls within it, would lead us to reject the null hypothesis. In this case, the null hypothesis is that students take an average of 2 classes per quarter.

To determine the rejection region, we need to find the critical value corresponding to the given significance level. Since alpha is 0.01 and the sample size is 16, we can use the t-distribution with n-1 degrees of freedom.

Using a t-distribution table or calculator, we find that the critical value for a two-tailed test at alpha = 0.01 and 15 degrees of freedom is approximately ±2.947.

The rejection region consists of the values outside the interval (-∞, -2.947) and (2.947, ∞).

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Answer:

y= -2x-4

Step-by-step explanation:

Answer:

the same

Step-by-step explanation:

perprendicular lines never touch

The area of the window is 8\(m^{2}\).

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space. The length and width of a form are used to compute its area.

Any shape's area can be calculated by counting how many unit squares will fit inside of it.

According to the question,

Length of window=2m

Width of window=4m

Area of window=Length*Width

                          =2*4

                          =8\(m^{2}\)

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

0.3425

multiply the 13.7 by 2 1/2%.

now, we have 34.25.

Divide the 34.25 by 100, and that's your answer.

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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The TI-84 Plus calculator can be used to find various percentiles and guarantee values for a certain type of automobile tire. The 19th percentile of tire lifetimes is approximately 35.38 thousand miles. The 71st percentile is approximately 42.85 thousand miles. The first quartile, which represents the 25th percentile, is approximately 37.07 thousand miles. To ensure that only 2% of the tires violate the guarantee, the tire company should guarantee a minimum of approximately 31.35 thousand miles.

To find the percentiles and guarantee values using the TI-84 Plus calculator, we can utilize the normal distribution function. Given that the lifetime of the automobile tires is normally distributed with a mean (μ) of 39 thousand miles and a standard deviation (σ) of 6 thousand miles, we can apply these values to the calculator.

(a) To find the 19th percentile, we input the following command: invNorm(0.19, 39, 6). The calculator will provide an output of approximately 35.38 thousand miles.

(b) For the 71st percentile, we use the command: invNorm(0.71, 39, 6). The calculator will yield an approximate value of 42.85 thousand miles.

(c) The first quartile, representing the 25th percentile, can be obtained by entering: invNorm(0.25, 39, 6). The calculator will give an output of approximately 37.07 thousand miles.

(d) To determine the guarantee value for which only 2% of the tires violate the guarantee, we use the command: invNorm(0.02, 39, 6). The calculator will provide an approximate value of 31.35 thousand miles.

These calculations give us the requested percentiles and guarantee value for the tire lifetimes, rounded to at least two decimal places.

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As we know that slope is denoted by the letter m and is calculated by the formula:

★ We have :

★ Putting the values :

\(: \: \longrightarrow \: \sf{Slope (m) \: = \: \dfrac{ 7 \: - \:1 }{5\: - \:3 } } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: \dfrac{6 }{5\: - \:3 } } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: \dfrac{6 }{2} } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: \cancel\dfrac{6 }{2} } \\ \\ : \: \longrightarrow \: \pink{\bf{Slope (m) \: = \: 3 }}\)

Additional Information :

★ Centroid of a triangle :-

★ Distance Formula :-

★ Midpoint of two points:-

The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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Answer:

8.66141732 inches

Step-by-step explanation:

To convert 22 cm to inches, we can use the conversion factor 1 inch = 2.54 cm. 22 cm ÷ 2.54 = 8.66141732 inches.

Answer:

-1

Step-by-step explanation:

Given:

\(i^{50}\)

Rewrite 50 as the product of 2 and 25:

\(\implies i^{(2 \cdot 25)}\)

\(\textsf{Apply the exponent rule} \quad a^{bc}=(a^b)^c:\)

\(\implies \left(i^2\right)^{25}\)

Apply the imaginary number rule  i² = -1 :

\(\implies \left(-1\right)^{25}\)

\(\textsf{Apply the exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:\)

\(\implies -1^{25}\)

As 1²⁵ = 1 then:

\(\implies -1\)

Answer:

(i)⁵⁰ = -1

Step-by-step explanation:

The problem is,

→ (i)⁵⁰

Formula we use,

→ i² = -1

Let's solve the problem,

→ (i)⁵⁰

→ (i²)²⁵

→ (-1)²⁵

→ -1

Hence, the answer is -1.

Answer:

Step-by-step explanation:

It looks much harder than it really is

Let the first number = 25

Let the second number = x

25 * x = 133600            divide both sides by 25

25*x/25 = 133600/25

x = 5344

Make sure the answer really is 133600 because the comma (one) should go before the 6.

Let's create a vector F(x, y, z) with at least two variables in its components:

F(x, y, z) = (xy + 2z)i + (yz + 3x)j + (xz + y)k

Now, let's find the gradient, divergence, and curl of this vector:

1. Gradient (∇F):

The gradient of a vector is given by the partial derivatives of its components with respect to each variable. For our vector F(x, y, z), the gradient is:

∇F = (∂F/∂x)i + (∂F/∂y)j + (∂F/∂z)k

Calculating the partial derivatives:

∂F/∂x = yj + zk

∂F/∂y = xi + zk

∂F/∂z = 2i + xj

Therefore, the gradient ∇F is:

∇F = (yj + zk)i + (xi + zk)j + (2i + xj)k

2. Divergence (div F):

The divergence of a vector is the dot product of the gradient with the del operator (∇). For our vector F(x, y, z), the divergence is:

div F = ∇ · F

Calculating the dot product:

div F = (∂F/∂x) + (∂F/∂y) + (∂F/∂z)

Substituting the partial derivatives:

div F = y + x + 2

Therefore, the divergence of F is:

div F = y + x + 2

3. Curl (curl F):

The curl of a vector is given by the cross product of the gradient with the del operator (∇). For our vector F(x, y, z), the curl is:

curl F = ∇ × F

Calculating the cross product:

curl F = (∂F/∂y - ∂F/∂z)i - (∂F/∂x - ∂F/∂z)j + (∂F/∂x - ∂F/∂y)k

Substituting the partial derivatives:

curl F = (z - 3x) i - (z - 2y) j + (y - x) k

Therefore, the curl of F is:

curl F = (z - 3x)i - (z - 2y)j + (y - x)k

That's it! We have calculated the gradient (∇F), divergence (div F), and curl (curl F) of the given vector F(x, y, z) by finding the partial derivatives, performing dot and cross products, and simplifying the results.

(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.

(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.

(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.

(d) Given the market conditions and demand function, the total market supply can be calculated.

(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).

(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.

(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).

(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.

In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.

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Answer:

18.5

Step-by-step explanation:

The length of fringe Sharon needs to purchase is: 16 feet

If Sharon gets a new bedsheet of 1.25 feet longer, she will need a new length of fringe of: 18.5 feet

Recall:

Perimeter of a rectangular = 2(length + width)

Given the following:

The length of fringe Sharon will need to purchase = perimeter of Sharon's rectangular bedspread

Perimeter = 2(3 + 5) = 16 feet

For a new bedspread that is 1.25 feet longer, she would get the following length of fringe:

Length = 3 + 1.25 = 4.25 feet

Width = 5 feet

New Perimeter = 2(4.25 + 5) = 18.5 feet

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