I want 5 halves of a cupcake for myself 6 halves for my friend and 3 half for our other friend

Answer:

The function f(x) = 7(3/54*) can be simplified as follows:

Simplified base: 7 * (3/54) * x = (3/54) * 7 * x = (3/54) * 7 * x = (3/54) * 7 * x = 7 * (3/54) * x

Initial value: None provided

Domain: The domain of a function refers to the set of all possible input values (x-values) for which the function produces a valid output (y-value). In this case, it would depend on the restrictions on x, but typically, real numbers are assumed as the domain unless otherwise stated.

Range: The range of a function refers to the set of all possible output values (y-values) that the function can produce. In this case, the range would be all real numbers since there are no restrictions on the output.

Note: There seems to be some errors or typos in the original function and the question, as the expression (3/54*) does not have a clear mathematical meaning. The information provided is based on the assumptions made from the given information

The probabilities for the standard normal distribution in r or using the standard normal table are

a) P(X<2.18) = 0.9854

b)P(X>2.18)= 0.0146

c) P(<-2.49) = 0.0064

The standard normal table is a mathematical table that allows us to know the percentage of values below the z-score (left) of the standard normal distribution. This is the "bell-shaped" curve of the standard normal distribution. It is a normal distribution with mean 0 and standard deviation 1. Using the Z-table:

Now, we have to determine the probability value for (a) , (b) and (c) .

a) P(X < 2.18) = P( Z< 2.18) = intersection point of row value 2.1 and column 0.08 = 0.9854

b) P(X >2.18) = P( Z> 2.18) = 1 - P( Z< 2.18)

= 1 - 0.9854 = 0.0146

c) P(X < -2.49) = P(Z < -2.49) = intersection point of row value -2.4 and column 0.09 = 0.0064.

Hence, we got all the required probability values.

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Complete question:

Find the following probabilities for the standard normal distribution in R or using the standard normal table. NoteI always recommend drawing the distribution. (Round your answers to four decimal places.) ### Example R code mu = 0; sigma = 1; x = x; # Note you will have to change the value of x. pnorm(x,mu,sigma)

(a) P(X < 2.18)

b) P(X >2.18)

(c) P(X < -2.49)

The complete expression is 6 * 1/3 = 1/3 * 6

From the question, we have the following parameters that can be used in our computation:

6 x 1/3 _ 6

Express properly

So, we have the following representation

6 * 1/3 = _6

Represent the blank with x

6 * 1/3 = x * 6

So, we have

2 = 6x

Divide by 6

x =1/3

Hence, solution to the expression is 1/3

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Answer:

12

Step-by-step explanation:

6

×12=72

=72answer is=12

Answer:

Step-by-step explanation:

srry need the points

The length of the leg in the triangle is 4 units

From the question, we have the following parameters that can be used in our computation:

The length of the other leg using Pythagorean Theorem is

Other Leg = √(Hypotenuse² - One Leg²)

So, we have

Orher Leg = √(5² - 3²)

Evaluate

Other leg = 4

Hence, the other leg is 4 units

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The largest non-negative integer than can be represented on this computer is given as follows:

15.

The largest non-negative integer that can be represented on an unsigned machine with n bits is given as follows:

N = 2^n - 1.

For this problem, the machine is of 4 bits, hence the parameter n is given as follows:

n = 4.

Hence the largest non-negative integer than can be represented on this computer is obtained as follows:

N = 2^4 - 1

N = 16 - 1

N = 15.

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The value of x is 10 and y is -5.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Three parallel lines.

From the diagram,

we have system of equations

6x + 2y + 130 = 180

2x - 4y + 140 = 180

Simplifying both equations,

3x + y = 25....(1)

x - 2y = 20,....(2)

Now, substituting the value of x from the equation 2 to equation 1,

7y = 25 - 60

y = -5.

And x = 10.

Therefore, the value of x is 10 and y is -5.

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Answer:

[tex]\frac{1}{9^{8}}[/tex]

Step-by-step explanation:

When multiplying two numbers with exponents with the same base, you simply add the two exponents together, even if they're negative:

[tex]9^{-5}*9^{-3} =9^{-8}[/tex]

When a number has a negative exponent ([tex]x^{-2}[/tex]) it means that the number is equal to 1/that number ([tex]\frac{1}{x^{2}}[/tex])

[tex]9^{-8}=\frac{1}{9^{8}}[/tex]

To find the bearing from the phone to the transmitter, we can use the arctangent function.

The formula to find the bearing is:

θ = atan2(dy, dx)

where dx = difference in x-coordinates and dy = difference in y-coordinates.

Here, dx = -13 km and dy = -21 km, since the transmitter is located to the west and south of the phone.

Therefore, the bearing is:

θ = atan2(-21, -13) = atan2(21, 13) = 63.434948822922° (to the nearest degree)

So the bearing from the phone to the transmitter is approximately 63.4°.

Answer:

39

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient of 2 divided by 1.176 can be calculated as follows:

2 ÷ 1.176 = 1.70860927152318

Therefore, 2 divided by 1.176 is equal to 1.70860927152318.

The total cost of materials used in constructing the box in cents can be given by the function [tex]C(x) = 29x^2 + 24x^2 + 10(4x) = 63x^2 + 40x[/tex].

This formula can be derived by multiplying the cost per square foot of the base, top, and sides with their respective areas. The area of the base and top can both be expressed as [tex]x^2[/tex], while the area of the four sides can be expressed as 4x. Thus, multiplying the cost per square foot of each material with its respective area, we obtain the total cost of materials used in constructing the box in terms of x, which is given by the expression [tex]C(x) = 63x^2 + 40x[/tex].

For example, if x = 4, then the total cost of materials used in constructing the box in cents is [tex]C(4) = 63(4^2) + 40(4) = 1512 + 160 = 1672 cents[/tex].

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After 4 weeks the amount of coffee that Marshall will have left would be = 20 ounces.

The amount of ground coffee that Marshall bought for his office machine = 40 ounces

The quantity of coffee he uses per week in his office = 5 ounces.

Therefore for 4 weeks would be= ?

But, 1 week = 5 ounces

4 weeks = X

make X the subject of formula;

X = 5×4 = 20 ounces

The amount of ground coffee that will remain = 40-20 = 20 ounces.

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For each country, graph of computer the production possibilities frontier. Suppose that without trade the workers in each country spend half their time producing each good. Identify this point in your graphs.

Who has the comparative advantage in the production of shirts? What about for computers?

China has the comparative advantage in the production of shirts, while the US has the comparative advantage in the production of computers.

If these countries were open to trade, which country would export shirts? Give a specific numerical example and show it on your graphs. Which country would benefit from trade?

China would export 50 million shirts in exchange for 5 million computers (or more if they can). Trade would benefit the US since it will only need to trade 5 million computers in exchange for 50 million shirts, and it will still have 15 million computers that it can consume or trade with come other country.

Explain at what price of computers (in terms of shirts) the two countries might trade.

the minimum and maximum prices would be 5 to 10 shirts per computer. If the price of shirts per computer is 10 or near 10, then the US wins more. If the price of shirts per computer is 5 or near 5, then China wins more.

opportunity cost of producing 1 shirt in the US = 20/100 = 0.2 computers

opportunity cost of producing 1 computer in the US = 100/20 = 5 shirts

opportunity cost of producing 1 shirt in China = 10/100 = 0.1 computers

opportunity cost of producing 1 computer in China = 100/10 = 10 shirts

without trade:

total production of shirts in the US = 50 million

total production of computer in the US = 10 million

total production of shirts in China = 50 million

total production of computer in China = 5 million

with trade:

total production of computers in the US = 20 million

total production of shirts in China = 100 million

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The solution of the given quadratic equation is -2 ± √6.

Quadratic expressions are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Solution of a quadratic equation ax² + b x + c = 0 can be found by,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a, where [tex]b^2-4ac[/tex] is called discriminant.

Given quadratic equation is x² + 4x - 2 = 0.

Discriminant = 4² - (4 × 1 × -2) = 16 + 8 = 24

x = [-4 ± √24] / 2

  = [-4 ± 2√6] / 2

  = -2 ± √6

Hence the solution of the given quadratic equation is -2 ± √6.

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Answer: 3 1/5

Step-by-step explanation:

I nelieve fdhat the answer to thisxquestion is 3 1/5

The quartic regression equation is (a) y = -0.04x^4 + 1.06x^3 - 8.99x^2 + 40.05x + 177.92 and the estimated the number of graduates in 1992 is 367

From the question, we have the following parameters that can be used in our computation:

(-1,8), (5,-4), (7,8), (2,-6)

Using a graphing calculator, we have the following summary:

The model from the above summary is

y = -0.0402x^4 + 1.0627x^3 - 8.9931x^2 + 40.0522x + 177.9198

Approximate

y = -0.04x^4 + 1.06x^3 - 8.99x^2 + 40.05x + 177.92

In the year 1992, we have

x = 12

So, we have

y = -0.04 * 12^4 + 1.06 * 12^3 - 8.99 * 12^2 + 40.05 * 12 + 177.92

Evaluate

y = 367

The estimated the number of graduates in 1992 is 367

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Answer: 0.32432432432

Step-by-step explanation:

5x7=35

35+2=37

26-14=12

12/37= 0.32432432432

The width of the front of the aquarium is 30m

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2( l + w)

Given that the parameters are;

From the information given, we have that the values are;

Perimeter = 230m

Length = 85m

Width = w

Substitute the values, we get

230 = 2(85) + 2w

expand the bracket

2w = 230 -170

subtract the values

2w = 60

Make 'w' the subject

w = 30m

Hence, the value is 30m

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The linear regression equation for this problem is y = 4.5x + 200, where y is the profit in thousands of dollars and x is the number of units sold in hundreds.

The linear regression equation for this problem is y = 4.5x + 200, where y is the profit in thousands of dollars and x is the number of units sold in hundreds.

To calculate the equation, we first need to calculate the slope and the y-intercept. Since we have 5 points, we can calculate the slope using the formula m=(y2-y1)/(x2-x1). For this problem, we'll use (46,250) and (54,410). Plugging the values into the formula, we get m = (410-250)/(54-46) = 4.5.

Next, we need to find the y-intercept, which is 200. The formula for this is b = y-mx. For our problem, we'll use (46,250). Plugging in the values, we get 200 = 250 - 4.5(46), so b = 200.

Therefore, the linear regression equation for this problem is y = 4.5x + 200, where y is the profit in thousands of dollars and x is the number of units sold in hundreds.

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Check the picture below.

A first course in differential equations with modeling applications ninth edition is a textbook that covers the basics of differential equations and their applications in mathematical modeling.

It begins with an introduction to the concepts of differential equations, including the definition, solution methods, and the concept of modeling. It then covers topics such as first-order linear equations, higher-order linear equations, systems of linear differential equations, and nonlinear equations. It also has a chapter on boundary-value problems, which is a type of differential equation that involves a set of boundary conditions that must be satisfied for the solution to be valid.

In order to solve differential equations with boundary-value problems, we must first define the boundary conditions that must be satisfied for the solution to be valid. This involves setting up the boundary conditions in terms of the dependent and independent variables of the equation. We then solve the equation using the boundary conditions and the equation itself. The solution is then used to calculate values for the independent and dependent variables at the boundary points. Finally, we can verify the solution by substituting the calculated values into the equation and seeing if the solution is valid.

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The graph shows two functions, f(x) and g(x). So, the statements that describe the resulting graph h(x) is point (-2,2) is on h(x)

A graph is described as the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the question above, we have two functions f(x)=x²-2 and g(x)=x²+2 by adding the function we will get the combined function.

The graph that the function is varying from the coordinates (-2,2) is seen on the attached graph.

Therefore, we can conclude that the graph shows two functions, f(x) and g(x). So point (-2,2) is on h(x)

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Answer:

77

Step-by-step explanation:

1. solve the first part by plugging in 7 for y.

14(7)+37/5

98+37/5

135/5

27

2. then solve the second part by plugging in 7 for y.

8(2(7)-1)

8(14-1)

104

3. then subtract 27 from 104

104-27=77

The number of years that each person would have been employed would be that Nikhil has been with the company for 24 years, while Mae has been there for 4 years. That is option C.

Nikhil has been at the company 6 times as long as Mae.

That is,

x = 6y-----> equation 1

where X= Nikhil

y = Mae

Nikhil's time at the company is 8 more than 4 times Mae's.

That is,

x = 8 + 4y----> equation 2

To solve for each years, substitute for X into equation 2;

6y = 8+4y

8 = 6y-4y

8 = 2y

y = 8/2 = 4

Substitute y into equation 1;

X= 6×4

X= 24

Therefore, Nikhil has been with the company for 24 years, while Mae has been there for 4 years.

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Answer: Option C. Nikhil has been with the company for 24 years, while Mae has been there for 4 years.

Step-by-step explanation:

The ratio of the areas of the two circles equals the square of the ratio of their radii:  = 1/4

Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.

The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.

The Pythagorean theorem gives us:

(O1O2)^2 = r1^2 + r2^2

By substituting r1, r2, and O1O2 values, we obtain:

(r1 + r2)^2 = r1^2 + r2^2

By broadening and simplifying, we get:

2r1r2 = r2^2

When both sides are divided by r22, we get:

2r1/r2 = 1

So, r1/r2 = 1/2. r2 = 2r1.

The ratio of the areas of the two circles equals the square of the ratio of their radii:

A1/A2 = (r1/r2)^2 = 1/4

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The number of pounds of ground meat used is 2(13/80).

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

The number of pounds of ground meat bought = 2(9/16).

The number of pounds of ground meat left = 2/5.

Now,

The number of pounds of ground meat used.

= 2(9/16) - 2/5

= 41/16 - 2/5

= (205 - 32) / 80

= 173/80

= 2(13/80)

Thus,

2(13/80) pounds of ground meat were used.

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Answer:

7

Step-by-step explanation: just do it

The change in temperature over the 12-hour period was 50℉ - 10℉ = 40℉.