Ria solves the equation 5 + 3r = 4 + 4r and gets r = r. She concludes that the equation has infinitely many solutions. What is the correct solution? What mistake did Ria make?​

Answer:

First on is 0.75

Second is 22/52 (not sure about this one though)

Step-by-step explanation:

For the first one:

P(aUb) = p(a) + p(b) - p(a^b)

0.6 = 0.4 + 0.5 - p(a^b)

p(a^b) = 0.3

P(a/b)= p(a^b)/p(a)

P(a/b)= 0.3/0.4

P(a/b)= 0.75

For the second one:

Total of the cards are 52

Diamonds are 13 out of that 52

Face cards are 12 out of that 52

Diamond OR face cards means p(aUb)

And that equals p(a)+p(b)-p(a^b)

p(a^b) means the intersection between the two, there are three common cards between diamonds and face cards, so p(a^b)=3

13/52 + 12/52 - 3/52= 22/52

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

What is linear programming?

Linear programming is a mathematical method used to optimize (maximize or minimize) a linear objective function subject to a set of linear constraints. It is widely used in various fields, including economics, operations research, engineering, and finance, to solve optimization problems.

In linear programming, the objective is to find the best possible solution that satisfies a given set of constraints while optimizing a specific objective. The objective function represents the quantity to be maximized or minimized, such as profit, cost, time, or resource utilization. The constraints define the limitations or restrictions on the decision variables.

Decision Variables:

Let X be the number of Yummy patties produced per month.

Let Y be the number of Wholesome patties produced per month.

Objective Function:

Minimize the total cost of producing and storing Yummy and Wholesome sandwich patties.

Total Cost = (Production Cost per patty * Number of Yummy patties) + (Production Cost per patty * Number of Wholesome patties) + (Storage Cost per patty * Number of Yummy patties) + (Storage Cost per patty * Number of Wholesome patties)

Constraints:

Production capacity constraint: X + Y <= 12,000,000 (the total number of patties produced per month should not exceed 12 million).

Demand constraints: X >= demand for Yummy patties per month

Y >= demand for Wholesome patties per month

Fat content constraint: (20X + 8Y) / (X + Y) <= 13 (average fat content should not exceed 13 grams per patty)

To solve this linear programming problem and optimize the total cost, you can use Solver in software like Microsoft Excel. Here are the steps to set up and solve the problem using Solver:

Set up the spreadsheet:

Create a table with columns for variables (X and Y), objective functions, and constraints.

Enter the appropriate formulas for the objective function and constraints based on the given information.

Define the objective cell as the total cost and set it to minimize.

Set up the Solver:

Open Solver in Excel (usually found under the Data or Analysis tab).

Set the objective cell as the target to minimize.

Define the decision variables and their limits (X and Y >= 0).

Add the constraints based on the given conditions.

Set the Solver options as needed (non-integer solutions are allowed).

Run the Solver:

Click the Solve button to find the optimal solution.

Solver will adjust the values of X and Y to minimize the total cost while satisfying the constraints.

Review the results:

Once Solver completes, review the solution provided.

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

By following these steps and using Solver, you can find the optimal solution for minimizing the total cost of producing and storing Yummy and Wholesome sandwich patties while satisfying the given constraints.

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In order to plot points H I and J on the coordinate planeIdentify the x-coordinate and y-coordinate of each point (H, I, and J). For example, let's say the coordinates are as follows:

Point H: (xH, yH)

Point I: (xI, yI)

Point J: (xJ, yJ)

Locate the origin (0, 0) on the coordinate plane. This is the starting point for plotting any point.

Move along the x-axis according to the x-coordinate of each point. If the x-coordinate is positive, move to the right; if it's negative, move to the left. Mark a point on the x-axis at the appropriate location.

Move along the y-axis according to the y-coordinate of each point. If the y-coordinate is positive, move upward; if it's negative, move downward. Mark a point on the y-axis at the appropriate location.

The point where the x and y axes intersect is the location of the point. Mark that point on the coordinate plane.

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How to Plot points H I and J on the coordinate plane

The statement is False.

One of the assumptions for multiple regression is that the residuals (i.e., the differences between the observed values and the predicted values) are normally distributed, but there is no assumption that the explanatory variables themselves are normally distributed. However, if the response variable is not normally distributed, it may be appropriate to transform it or use a different type of regression.

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The cost of each shirt and pair of pants is $11 each.

Let us represent the shirt by x and pair of pants by y. So forming the equation based on the information. Equation for items bought by me -

x + 3y = 44 : Equation 1

Equation for items bought by my friend -

3x + y = 44 : Equation 2

Performing multiplication of equation 1 with 3

3x + 9y = 132 : Equation 3

Performing subtraction of equation 2 from equation 3

3x + 9y = 132

3x + y = 44

We get -

9y - y = 132 - 44

8y = 88

y = 88/8

Performing division

y = 11

Keep the value of y in equation 1

x + 3×11 = 44

x + 33 = 44

x = 44 - 33

x = 11

Hence, both of these items cost $11.

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Binomial theorem is used to calculate the roots of the equations with highest degree in advance mathematical calculation in any subject.

Binomial theorem is represented by :

( a + b )ⁿ = ⁿC₀aⁿb⁰ +  ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+  ⁿCₙa⁰bⁿ

Therefore, the binomial theorem help us to calculate the roots of the equations with highest degree in advance mathematical calculations in many subjects.

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Answer:

x=42

Step-by-step explanation:

Step 1) 105=3x-21

Step 2) 126= 3x

Step 3) 42=x

Despite that JSR stock price was $52.33 in October, when the stock increase and decrease are accounted for, then, the price of the stock in December equals to $51.91.

Also known as share price, it refers to the price of a single share of a number of sale-able equity shares of a company.

Given data

Stock price for JSR was $52.33 in October.

November, the stock had increased by 9%

December, the price fell by 9%.

In November, the firm's stock price will be:

= Stock price in October * (1 + 0.09)

= $52.33 * (1.09)

= $57.0397

In December, the firm's stock price will be:

= $57.0397 * (1 - 0.09)

= $57.0397 * 0.91

= $51.906

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The solution to the system of equations as an ordered pair is (4, -3).

We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.

We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".

y = (-1/2)x - 1

(-1/4)x + y + 4 = 0

Substitute the value of "y" from the first equation into the second equation.

(-1/4)x + (-1/2)x - 1 + 4 = 0

(-3/4)x+3 = 0

(3/4)x = 3

x = 4

Substitute the value of "x" back into the first equation to get the value of "y".

y = (-1/2)x - 1

y = (-1/2)4 - 1

y = -2 - 1

y = -3

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Answer:

176.7146 in square feet

give brainlyest

Step-by-step explanation:

The coordinate vector of M=[−6−31−1]M=[−61−3−1] relative to the basis B={[1000],[0100],[0010],[0001]}B={[1000],[0100],[0010],[0001]} is [1/2, 1/2, 1, 0].

We are given the set B={[1000],[0010],[0100],[0001]}B={[1000],[0100],[0010],[0001]}, which is a basis of the vector space of 2×22×2 matrices.

Let the given matrix M = [−6−31−1]M = [−61−3−1].

We have to find the coordinate vector of M relative to this basis BB.

Since B is a basis of the vector space, we can expand M in terms of B. Let [a,b,c,d] be the coordinate vector of M relative to B.

Now,

M=[−6−31−1][1000]+[0010]+[0100]+[0001][abcd]=[1000]⋅a+[0010]⋅b+[0100]⋅c+[0001]⋅dM = [-6 -3; -1 -1]a[1000] + b[0010] + c[0100] + d[0001]  ...(1)

Equating the elements of the two sides of equation (1), we get-6a + b + c + d = 0-3a - b + c + d = 0-a - c + d = 0-a - b - c - d = 0

On solving these equations, we get a=1/2,b=1/2,c=1,d=0

Therefore, the coordinate vector of M relative to B is [1/2, 1/2, 1, 0].

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Answer:

19.53

Step-by-step explanation:

First let's find the new price of the backpack:

40% of 29.99 is

29.99 * 0.40 = 11.99

So the new price of the backpack is

29.99 - 11.99 = 18.00

Now let's find the price with tax

8.5% of 18.00 is

18.00 * 0.085 = 1.53

So the cost of the backpack is

18.00 + 1.53 = $19.53

Answer:

$19.52

Step-by-step explanation:

29.99 x 0.60 = 17.994, (60% of 29.99)

1.085 x 17.994 = 19.52349 = $19.52 (2dp) , - (Add 8.5% Tax)

The probability that the next chew Harper removes from the bag will be a lime chew is 26%.

We know that there are a total of 38 chews in the bag, and that 10 of them are lime chews. This means that the probability of randomly selecting a lime chew is 10/38 = 0.2631578947. To the nearest whole number, this is 26%.

It is important to note that this is just a probability. It is possible that the next chew Harper removes from the bag will not be a lime chew. However, based on the results of the experiment, the probability is 26% that it will be.

Here are some additional details about the probability of randomly selecting a lime chew from the bag:

The probability of randomly selecting a lime chew is not guaranteed to be 26%. If Harper performs the experiment more times, the probability may change.

The probability of randomly selecting a lime chew is also affected by the number of lime chews in the bag. If Harper removes more lime chews from the bag, the probability of randomly selecting a lime chew will decrease.

The probability of randomly selecting a lime chew is also affected by the way that Harper removes the chews from the bag. If Harper does not return the chews to the bag after each selection, the probability of randomly selecting a lime chew will increase.

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The probability that a baby born in Detroit will weigh more than 3270 grams is denoted by P(x > 3270). A normal distribution with a mean of 3296 grams and a standard deviation of 100 grams.

To do this, we can standardize the value 3270 using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (3270 - 3296) / 100 = -0.26.To find this probability, we need to calculate the area under the normal curve to the right of 3270 grams.

Next, we can look up the corresponding z-score in the standard normal distribution table or use a calculator to find the area to the left of -0.26, which is 0.3970. Since we want the area to the right of 3270 grams, we subtract this value from 1: 1 - 0.3970 = 0.6030.

Therefore, the probability that a baby born in Detroit will weigh more than 3270 grams is P(x > 3270) = 0.6030.

Now, let's consider the probability that a random sample of 12 babies born in Detroit will have a mean weight that is more than 3270 grams. This probability is denoted by P(x > 3270), where x represents the sample mean.

The mean of the sample means will still be 3296 grams, but the standard deviation of the sample means, also known as the standard error, will be σ/√n, where σ is the standard deviation of the population and n is the sample size. In this case, the standard error is 100/√12 ≈ 28.8675 grams.

To find the probability, we can again standardize the value 3270 using the formula z = (x - μ) / (σ/√n). Substituting the values, we have z = (3270 - 3296) / (100/√12) ≈ -0.8957.

We can then find the corresponding area to the left of -0.8957 in the standard normal distribution table or using a calculator, which is approximately 0.1864. Since we want the area to the right of 3270 grams, we subtract this value from 1: 1 - 0.1864 = 0.8136.

Therefore, the probability that a random sample of 12 babies born in Detroit will have a mean weight that is more than 3270 grams is P(x > 3270) ≈ 0.8136.

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Answer:

463 rounded to the nearest hundred gives 500.

536 rounded to the nearest hundred gives 500.

556 rounded to the nearest hundred gives 600.

555 rounded to the nearest hundred gives 600.

445 rounded to the nearest hundred gives 400.

Answer:

463 536

Step-by-step explanation:

The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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A relation is a set of ordered pairs that relate the elements of two sets. A function is a special type of relation where each element of the first set (domain) is paired with only one element of the second set (range).

To determine if a relation is a function or not, we need to check if there are any repeating values in the first coordinate (domain) of the ordered pairs. If there are, then the relation is not a function.

For example, consider the relation {(1,2), (2,4), (3,6), (1,5)}. The first coordinate 1 appears twice, and is paired with two different second coordinates 2 and 5. Therefore, this relation is not a function.

On the other hand, the relation {(1,2), (2,4), (3,6)} is a function, because there are no repeating values in the first coordinate. In summary, a relation is a function if each element in the domain is paired with only one element in the range. If there are any repeating values in the domain, then the relation is not a function.

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Answer:

-x² + 16x - 60

Step-by-step explanation:

Given expression:

Step 1. Insert brackets to isolate the "-" from the (x - 8)².

           ⇒ -(x - 8)² + 4

           ⇒ -[(x - 8)²] + 4

Step 2. Use the formula (a - b)² = a² - 2ab + b²

          ⇒ -[(x - 8)²] + 4

          ⇒ -[x² - 2(x)(8) + 8²] + 4

Step 3. Open the parenthesis

          ⇒ -[x² - 2(x)(8) + 8²] + 4

          ⇒ -x² + 2(x)(8) - 8² + 4

Step 4. Simplify as needed

          ⇒ -x² + 16(x) - 64 + 4

          ⇒ -x² + 16x - 60

General form of differential equation is

y = 0.998 cos(7t) - 0.062 sin(7t)

Given:

y′′−49y=0,

y(−2)=1,

y′(−2)=−1

We know that the general solution to this differential equation is y = c1 * cos(7t) + c2 * sin(7t)

We can find the specific solution by solving for the constants c1 and c2 using the initial conditions:

y(-2) = 1

=> c1 * cos(-14) + c2 * sin(-14) = 1y'(-2)

= -1

=> -7 * c1 * sin(-14) + 7 * c2 * cos(-14)

= -1

Simplifying the above equations we get:

cos(-14) * c1 + sin(-14) * c2

= 1-7 * sin(-14) * c1 + 7 * cos(-14) * c2

= -1

Solving these two equations for c1 and c2 we get:

c1 = (cos(-14) + 7 * sin(-14))/50c2

= (7 * cos(-14) - sin(-14))/50

Hence the specific solution is:

y = [(cos(-14) + 7 * sin(-14))/50] * cos(7t) + [(7 * cos(-14) - sin(-14))/50] * sin(7t) y ≈ 0.998 * cos(7t) - 0.062 * sin(7t)

Therefore,

y = 0.998 cos(7t) - 0.062 sin(7t)

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Answer:

The one on the right is correct. An easy way to remember how to do these kinds of questions is to remember "keep change flip". Keep the first fraction, change the divide sign to multiply, and flip the second fraction

Answer:

the right one is correct

Answer:

This is your answer ☺️

Answer:

D

Step-by-step explanation:

It is a 30, 60, 90 triangle

if the leg on the same side as the 90 degree angle is \(14\sqrt{3}\), then:

The base is 14, and the hypotenuse is 28

In this type of triangle:

the base \(\sqrt{3}\) is the other leg

and 2 times the base is the hypotenuse

so x=14, and y=28

Answer D

Expression for the number of tiles Bruce used: 5x+2

Expression for the number of tiles Felicia used: 5x+5

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The first want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3 but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.

For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).

To represent those last two tiles we can simply add +2.

Now putting it all together we get 5x+2

5x is the number of boxes multiplied by an unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 are those two tiles that were taken out of the last box.

For Felicia, we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.

Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).

Because those were individual tiles they are simply 5.

Putting the whole thing together we get 5x+5

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Answer:

1. f(-1) = -6

2. f(0) = -5

3. f(1) = -4

4. f(2) = -3

5. f(5) = 0

6. f(8) = 3

Step-by-step explanation:

1. f(-1)=-1-5=6

substitute the x value into the equation.

2. f(0)=0-5=-5

3. f(1)=1-5=-4

4.f(2)=2-5=-3

5. f(5)=5-5=0

6. f(8)=8-5=3

Answer:

The original value of the car.

Step-by-step explanation:

The 21,500 would be the a value of the function, as it is before the parentheses. The a value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.

Answer:

$146.1

Step-by-step explanation:

The can's minimum surface area should have a height of 8 cm and a radius of 4 cm.

Given:

The volume of closed right circular cylindrical cans = 128π cm³

As we know the volume of a cylinder = πr²h

By equating;

πr²h = 128π

h = 128/r²

To get the dimensions of a can with minimum surface area;

S = 2πrh + 2πr

Put h = 128/r²;

Therefore, S(r) = 256π/r + 2πr²

                 S'(r) =  -256π/r² + 4πr

                S''(r) = -(2*256π)/r³ + 4π

Now, for S(r) = 0;

               r = 4cm

         for S''(4) > 0 at r = 4 is minimum point.

Hence,

h = 128π/(π*4*4)

h = 8cm

Therefore, the minimum surface area of the can should have a radius of 4 cm and a height of 8 cm.

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Answer:

\(\mathrm{88 + v}\)

Answer:

tbh i do not know the ancer i wish you good luck