A fast-food restaurant sold 8,416 hamburgers in a week. if the restaurant opens 7 days a week, about how many hamburgers were sold each day?

Answer:

10 smoothies

Step-by-step explanation:

because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.

Answer:

a

Step-by-step explanation:

its a because 12cm×10cm×9cm = 1,080cm

Answer:

\(\angle I = 21.6 ^\circ\) is the correct answer.

Step-by-step explanation:

Please refer to the attached figure.

\(\triangle IJK\) is shown with the following measurements:

\(\angle K = 90^\circ\)

Side KI = 5.3 ft

Side JK = 2.1 ft

To find : \(\angle I\) = ?

Using trigonometric identity for tangent of an angle:

\(tan\theta = \dfrac{\text{Perpendicular}}{\text{Base}}\)

Here \(\theta = \angle I\)

Perpendicular is side JK.

Base is side KI.

Putting the values in above formula:

\(tan\theta = \dfrac{\text{JK}}{\text{KI}}\\\Rightarrow tan\theta = \dfrac{2.1}{5.3}\\\Rightarrow tan\theta = 0.3962\\\Rightarrow \theta = 21.6^\circ\)

Hence, \(\angle I = 21.6 ^\circ\) is the correct answer.

Answer:

D. Horizontally compressed by a factor of 1/3

Answer: B: 45º

Step-by-step explanation:

A triangle is a plane figure that has 3 sides and also 3 angles.

The sum of all of the angles of triangle always 180°.

There are several types of triangles such as :

Equilateral Triangle → 3 equal sides

Isosceles Triangle → 2 equal sides

Scalene Triangle → no equal sides

If triangle ABC is an isosceles right triangle , then one of the angles will be 90°. The other two angles ( base angles ) will have the same value.

We could draw this triangle as shown in the attachment.

Let: the base angle = x

x + x + 90º = 180º

2x + 90º = 180º

2x =  180º +  90º

x =  90º ÷ 2  (90 ÷ 2)

x = 45º

The second option is correct because the measure of one base angle is \(45^\circ\).

Given:

The triangle ABC is an isosceles right triangle.

To find:

The measure of one base angle of the triangle ABC.

Explanation:

In an isosceles right triangle, one angle is a right angle and the other two angles are base angles with equal measures.

Let \(x\) be the measure of one base angle of the triangle. Then the measures of angles of the triangle ABC are, \(x,x,90^\circ\).

In triangle ABC,

\(x+x+90^\circ=180^\circ\)                (Angle sum property)

\(2x=180^\circ-90^\circ\)

\(2x=90^\circ\)

Divide both sides by 2.

\(x=45^\circ\)

The measure of one base angle is \(45^\circ\). Therefore, the second option is correct.

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To maximize the seating area while using 45π + 60 meters of light strips, the radius of the semicircular stage should be approximately 29π/3 - 5 meters.

To maximize the seating area, we need to determine the dimensions of the rectangular auditorium that will give us the largest possible area while using the given length of light strips.

Let the length of the rectangular auditorium be L, and its width be W.

The seating area consists of the rectangular portion minus the semicircular stage. So, the seating area's length is L - 2r (subtracting the semicircle's diameter) and the seating area's width is W - 2r.

The perimeter of the seating area is the sum of the lengths of its four sides, excluding the semicircular stage. The perimeter is given as 45π + 60 meters.

Perimeter = 2(L - 2r) + 2(W - 2r) + πr = 45π + 60

Simplifying: 2L + 2W - 8r + πr = 45π + 60

Rearranging: 2L + 2W = 8r + 44π + 60

The area of the seating area is given by A = (L - 2r)(W - 2r).

We want to maximize A, so we need to express it in terms of a single variable. Since we have an equation with two variables (L and W), we can rewrite one of the variables in terms of the other.

Rearranging the perimeter equation: 2L + 2W = 8r + 44π + 60

Solving for L: L = (8r + 44π + 60 - 2W) / 2

Substituting L in terms of W into the area equation: A = [(8r + 44π + 60 - 2W) / 2 - 2r] (W - 2r)

Simplifying: A = (4r + 22π + 30 - W) (W - 2r)

Now we have the area equation in terms of a single variable, W. To maximize A, we can take the derivative of A with respect to W, set it equal to zero, and solve for W.

dA/dW = 2(4r + 22π + 30 - W) - (W - 2r) = 0

Solving for W: 8r + 44π + 60 - W = W - 2r

Simplifying: 10r + 44π + 60 = 2W

W = 5r + 22π + 30

Now that we have W in terms of r, we can substitute this expression back into the area equation to get the area in terms of r only.

A = (4r + 22π + 30 - (5r + 22π + 30)) ((5r + 22π + 30) - 2r)

Simplifying: A = (r - 22π) (3r + 22π + 30)

Expanding: A = 3r² + 8rπ + 30r - 66πr - 660π

Now, to find the maximum area, we can take the derivative of A with respect to r, set it equal to zero, and solve for r.

dA/dr = 6r + 8π + 30 - 66π = 0

Simplifying: 6r - 58π + 30 = 0

6r = 58π - 30

r = (58π - 30) / 6

r ≈ 29π/3 - 5

Therefore, to maximize the seating area while using 45π + 60 meters of light strips, the radius of the semicircular stage should be approximately 29π/3 - 5 meters.

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The percentage of the data which falls below a z-score of 1.5 as required in the task content is; 93.3%.

It follows from the task content that the percent of the data which falls below a z-score of 1.5 is to be determined.

As evident on the graph; the required percentage can be obtained by the cumulative percentage of all data whose z-score fall below 1.5.

And ultimately, the cumulative percentage can be determined as follows;

= 84.1 % + 9.2%

= 93.3 %.

On this note, the required percent of data that fall below a z-score of 1.5 is; 93.3%.

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a. The joint discrete density function f(x,y) is given by f(x,y) = 1/4 for (x,y) = (0,0), (0,1), (1,0), and (1,1).

b. The joint discrete cumulative distribution function F(x,y) is given by F(x,y) = 0 for (x,y) = (-∞,-∞) and F(x,y) = 1 for (x,y) = (∞,∞).

c. The marginal discrete density function of X is given by fX(x) = 1/2 for x = 0 and x = 1.

d. fyx (v1) is not applicable in this case.

For a fair coin flipped twice, we are interested in finding the joint and marginal discrete density functions. In this case, X represents the outcome of the first flip, where X = 1 if it's a head and X = 0 if it's a tail. Y represents the number of heads.

a. The joint discrete density function f(x,y) is a probability distribution that assigns probabilities to each possible outcome of (X, Y). In this experiment, since the coin is fair, there are four possible outcomes: (0,0), (0,1), (1,0), and (1,1). Each outcome has an equal probability of occurring, which is 1/4. Therefore, f(x,y) = 1/4 for each of these outcomes.

b. The joint discrete cumulative distribution function F(x,y) gives the probability that (X, Y) takes on a value less than or equal to a given value. Since there are no values less than or equal to the outcomes, the cumulative distribution function is 0 for (-∞,-∞) and 1 for (∞,∞).

c. The marginal discrete density function of X, denoted as fX(x), gives the probability distribution of X irrespective of the value of Y. In this case, since the coin is fair, X can be either 0 or 1, with an equal probability of 1/2 for each value.

d. The notation fyx (v1) represents the conditional probability density function of Y given X=v1. However, in this experiment, the value of X is not fixed, as it can take on either 0 or 1. Therefore, the concept of fyx (v1) does not apply in this case.

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Answer:

\(Question \: 1: \: let \: the \: question \: mark \: be \: n \\ n = 63 \\

Question \: 2: \: the \: error \: the \: student \: made \: is \: \\ 4x + 40 = 6x - 10 \: insteade \: of : \\ 4x + 40 + 6x - 10 = 180. \\

Question \: 3: \: x = 15 \\

Question \: 4: m( GFC)

= 80. \\ \)

Step-by-step explanation:

\(let \: the \: unknown \: be \: n \\ then \\ 87 + n = 150 \\ n \: = 150 - 87 = 63. \\ the \: mistake \: is \: by \: the \: expression : \\ 4x + 40 = 6x - 10 \: insteade \: of : \\ 4x + 40 + 6x - 10 = 180. \\ 10x = 150 \\ x = 15. \\ 6x - 10 = 6 \times 15 - 10 \\ GFC

= 80. \\ \)

There are infinitely many ways to represent a fraction using different whole numbers as numerator and denominator.

Andrew and Molly can both be correct by choosing different whole numbers to represent the same fraction, 5/3, in different ways.

Andrew might have drawn a picture of 5/3 using a whole number multiple of 3 as the denominator, such as 9, and then dividing the shape into 5 equal parts. So, each part represents 1/3 of the shape, and there are 5 such parts. In this case, the numerator of the fraction is 5, and the denominator is 9. Hence, Andrew's drawing represents the fraction 5/9.

On the other hand, Molly might have drawn a picture of 5/3 using a whole number multiple of 6 as the denominator, such as 6, and then dividing the shape into 5 equal parts. So, each part represents 1/6 of the shape, and there are 5 such parts. In this case, the numerator of the fraction is 5, and the denominator is 6. Hence, Molly's drawing represents the fraction 5/6.

Therefore, Andrew and Molly can both be correct by choosing different whole numbers to represent the same fraction, 5/3, in different ways. It is important to note that there are infinitely many ways to represent a fraction using different whole numbers as numerator and denominator.

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1 foot is equal to 12 inches. So one feet is equal to 12 inches. The conversion factor between feet and inches is 1 ft = 12 in.

Inches (in) and feet (ft) are both units of measurement for length, but they are not directly interchangeable. To convert a measurement of length from feet to inches, you will need to use a conversion factor.

To convert a measurement of length from feet to inches, you will multiply the number of feet by the conversion factor of 12.

For example,

if you have a measurement of 2 feet, you would multiply 2 x 12 to get 24 inches. So, 2 ft = 24 in.

It's important to note that when measuring length, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.

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We are asked to find the derivative of the function f(x) = x^2 - x at the point x = 5 using the first principles definition of the derivative.

The derivative of a function represents the rate at which the function is changing at a given point. By using the first principles definition of the derivative, we can find the derivative of f(x) = x^2 - x.

The first principles definition states that the derivative of a function f(x) is given by the limit of the difference quotient as h approaches 0:

f'(x) = lim (h->0) [f(x + h) - f(x)] / h.

To find f'(5), we substitute x = 5 into the difference quotient:

f'(5) = lim (h->0) [f(5 + h) - f(5)] / h.

Now, we evaluate the difference quotient:

f(5 + h) = (5 + h)^2 - (5 + h) = 25 + 10h + h^2 - 5 - h = 20 + 9h + h^2.

f(5) = 5^2 - 5 = 25 - 5 = 20.

Substituting these values into the difference quotient:

f'(5) = lim (h->0) [(20 + 9h + h^2) - 20] / h

= lim (h->0) (9h + h^2) / h

= lim (h->0) (9 + h)

= 9.

Therefore, f'(5) = 9.

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Answer:

the answer is -81.48

Step-by-step explanation:

The sum of the expression is -81.48

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here,  16.87 + (–98.35) Thus using the BODMAS rule we get the sum as  16.87 + (–98.35) =-81.48

Hence, The sum of the expression is -81.48

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There are 256 expected value  for both a and b, so there are 256 x 256 = 65536 possible pairs of (a,b). Of these, there are 2112 pairs for which the sum of a and b is divisible by 12.

1. There are 256 possible values for both a and b. That means there are 256 x 256

= 65536 possible pairs of (a,b)

2. To find the number of pairs for which the sum of a and b is divisible by 12, we can look at the numbers 0 to 255 and see how many multiples of 12 there are. There are 21 multiples of 12 from 0 to 255, so

21 x 21

= 441.

3. Each multiple of 12 can be paired with any other number from 0 to 255, so there are 21 x 256 = 2112 pairs of (a,b) for which the sum is divisible by 12.

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Answer:

You didn't provide a clear question. Please specify your question before asking next time.

Step-by-step explanation:

Hope this helped.

Answer:

thursday

Step-by-step explanation:

so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.

Answer:

The answer is Thursday -2.

Step-by-step explanation:

on edge

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,8) and (3,-4)

The slope is

\(m = \frac{ - 4 - 8}{3 - - 1} = \frac{ - 12}{4} = - 3 \\ \)

We have the final answer as

Hope this helps you

Answer:

Mean: 5

Median: 4

Mode: 3

Step-by-step explanation:

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The value of each measure based on the incenter is illustrated below.

The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.

Angle ARU = 40 degree

Length of AU = 20

Angle QPA = 35 degree

Since, AR is angle bisector of angle URK.

So, ∠ARU = ∠ARK = 40 degree

Since, incenter point is equidistant from the sides of a triangle.

So, AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So,  ∠QPA = ∠UPA

3x + 2 = 4x - 9

4x - 3x = 9 + 2

x = 11

Substituting value of x in angle 3x + 2

We get,  ∠QPA = 3(11) + 2 = 35°

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Answer: 16 1/15

23/3+42/5

115/15+126/15

241/15= 16 1/15

I hope this helps:

Answer:

16 1/15

Step-by-step explanation:

Add the whole numbers.  7+8=15

Now, combine the fractions 2/3 and 2/5. To do so, you need a common denominator. The LCD between 3 and 5 is 15.

Whatever you do to one side you must do to the other.

(5/5) 2/3+ 2/5 (3/3)

10/15+6/15=16/15

15+16/15

16/15 is an improper fraction, so convert this fraction to a mixed number.

16/15= 1 1/15

Finally, add the two together. 15+ 1 1/15=

16 1/15

The circulation of F around C is -16. No, F is not equal to V f for some function f. The flux of F across C is -8. No, F is not equal to V x G for any vector field G.

(a) The circulation of F around C is -16.

Using Green's Theorem, we can write the circulation of F as the line integral around the boundary of D:

∮CF · dr = ∬D (∂Q/∂x - ∂P/∂y) dA

where P = 9x + 5y, Q = 2x - 7y, and dr = dx i + dy j.

Taking the partial derivatives, we get:

∂Q/∂x - ∂P/∂y = 2 - 9 = -7.

Thus, the circulation of F around C is:

∮CF · dr = ∬D -7 dA = -7(area of D) = -16.

(b) No, F is not equal to V f for some function f.

If F were equal to the gradient of some scalar function f, then the circulation of F around any closed path would be zero. However, we just calculated that the circulation of F around C is -16, which means F cannot be expressed as the gradient of any scalar function.

(c) The flux of F across C is -8.

Using Green's Theorem, we can write the flux of F across C as the line integral around the boundary of D:

∮CF · ds = ∬D (∂P/∂x + ∂Q/∂y) dA

Taking the partial derivatives, we get:

∂P/∂x + ∂Q/∂y = 9 - 7 = 2.

Thus, the flux of F across C is:

∮CF · ds = ∬D 2 dA = 2(area of D) = -8.

(d) No, F is not equal to V x G for any vector field G.

If F were equal to the curl of some vector field G, then the flux of F across any closed surface would be zero. However, we just calculated that the flux of F across C is -8, which means F cannot be expressed as the curl of any vector field.

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Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

The most appropriate choice for percentage and fraction will be given by-

The process of conversion of fraction to percentage has been explained.

What is fraction and percentage?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

If a number is taken as fraction of 100 then the fraction is known as percentage.

To convert a fraction into percentage, we have to simply multiply the fraction with 100.

For example.

Suppose we have a fraction \(\frac{1}{4}\), we need to convert  \(\frac{1}{4}\) to percentage.

So on multiplying \(\frac{1}{4}\) by 100, we obtain = \(\frac{1}{4} \times 100\) = 25%

So, \(\frac{1}{4}\) is equivalent to 25%

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

that answer is 7 is bigger then 1.9

Step-by-step explanation:

so 7 is a whole and 1.9 is a decimal

Answer: 2.65 <  1.9

Step-by-step explanation:

The square root of 7 is 2.65

2.65 is larger than 1.9 so that is why

it is "< "

The system of equations that model the situation are:

8x + 3y = 73

4x + 3y = 53

(option b)

The duration of the singing act is 5 minutes.

The duration of the dance act is 11 minutes.

The form of the simultaneous equation is:

(number of singing acts at the first show x number of minutes they perform) + (number of dance acts at the first show x number of minutes they perform) = total number of minutes equation 1

(number of singing acts at the second show x number of minutes they perform) + (number of dance acts at the second show x number of minutes they perform) = total number of minutes equation 2

8x + 3y = 73 equation 1

4x + 3y = 53 equation 2

In order to determine the duration of each act, the elimination method would be used:

Multiply equation 2 by 2

8x + 6y = 106 equation 3

Subtract equation 1 from equation 3 :

3y = 33

Divide both sides of the equation by 3

y = 33 / 3

y = 11 minutes

Substitute for y in equation 1: 8x + 3(11) = 73

8x + 33 = 73

8x = 73 - 33

8x = 40

x = 40 / 8

x = 5 minutes

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Answer:

0

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6/2 = 3 x (1+2) = 9 :)

Answer:

320 numbers with 3 digits that are odd

Step-by-step explanation:

there's 125 three-digit odd numbers