The 1.5 liters of fruit juice is cheaper per liter compared to the 1 liter of fruit juice.
For the 1 liter of fruit juice, the cost per liter is R25/1 liter = R25/liter.
For the 1.5 liters of fruit juice, the cost per liter is R34/1.5 liters = R22.67/liter.
A supermarket is a large retail store that offers a wide range of food and household items to consumers. These stores are typically designed to be a one-stop shop for customers, allowing them to purchase everything they need in one convenient location. One of the primary advantages of shopping at a supermarket is the ability to choose from a wide variety of products at competitive prices.
Supermarkets usually have multiple departments, including a fresh produce section, a meat and seafood section, a bakery, and a deli. In addition to food items, supermarkets also offer a variety of household goods, such as cleaning supplies, personal care products, and pet food. Many supermarkets also offer loyalty programs, coupons, and other incentives to help customers save money.
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emma estimated the
first digit in the quotient of 2,183 ÷ 42 as 4. She adjusted the quotient to 3. What did she do wrong? Explain how Emma can avoid her mistake.
Quotient is 51.97 by dividing 2,183 by 42. A quotient is the amount that results from dividing two numbers.
How to divide a number ?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.
Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.
The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.
The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:
2183 divided by 42, often written as 2183/42.
2183/42 = 51.97
The answer that is quotient is 51.97
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The mistake she done is that the acutal quotient is 51.97.
How to divide a number ?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.
The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:
2183 divided by 42, often written as 2183/42.
2183/42 = 51.97
The answer that is quotient is 51.97
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The utility industry had 639.5 thousand jobs in 2010 and is expected to decline at an average rate of 2.6 thousand jobs per year from 2010 to 2020. Assuming this holds true, what will be the utility’s percent change from 2010 to 2020
The utility’s percent change from 2010 to 2020 is a decrease of 4.07%
How many years are between 2010 and 2020?
There are 10 years in between 2010 and the year 2020, which means that the total decline over a period of 10 years is the annual decrease multiplied by 10.
Total decrease in 10 years=2.6*10
Total decrease in 10 years=26.0
Utility industry jobs in 2020=639.5-26.0
Utility industry jobs in 2020=613.5
The percentage change 2010-2020=(2020 jobs/2010 jobs)-1
The percentage change 2010-2020=(613.5/639.5)-1
The percentage change 2010-2020=-4.07%
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Which point is a solution to the inequality shown in this graph?
A (6,0)
B (5,-5)
C (0,-3)
D (0,-5)
Answer:
(0,-3)
Step-by-step explanation:
Apex
Help i don't know what to do
Answer:
i think its 2nd one and 3rd one
Step-by-step explanation:
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answer:
C. x²+12x+36
Step-by-step explanation:
Since a square's area is figures out with \(length^{2}\) and since the length is x+6, then we get:
(x+6)²=
(x+6)(x+6)=
Use FOIL method.
First: x²
Outer: 36
Inner: 6x
Last: 6x
x²+36+6x+6x=
x²+12x+36
The answer that fits is C. x²+12x+36.
Answer:
C. x²+12x+36
hope this helped
solve the lp by excel solver and then answer the following questions based on the sensitivity report of the original lp. you are not allowed to re-solve the lp for each of the questions.
By analyzing the sensitivity report, you can gain insights into the stability and flexibility of the optimal solution without the need for re-solving the LP problem.
To solve a linear programming (LP) problem using Excel Solver, you can follow these steps:
1. Open Excel and enter the LP problem in a spreadsheet. Define the decision variables, objective function, and constraints.
2. Install the Solver add-in if it is not already installed. You can find the Solver add-in in the "Data" tab under "Analysis."
3. Go to the "Data" tab and click on "Solver" to open the Solver dialog box.
4. In the Solver dialog box, set the objective cell to the target cell of your LP problem. Select either "Min" or "Max" depending on whether you want to minimize or maximize the objective.
5. Define the decision variable cells as the changing cells.
6. Add the constraints by clicking on the "Add" button in the Solver dialog box. Specify the constraint cells and their respective relationships (e.g., <=, =, >=).
7. Set any additional Solver options if necessary, such as limiting the solution to integer values.
8. Click "Solve" to find the optimal solution. Excel Solver will adjust the decision variables to optimize the objective function while satisfying the constraints.
Once you have solved the LP problem using Excel Solver, you can use the sensitivity report to analyze the results. The sensitivity report provides information on the impact of changes to the objective function coefficients and constraint coefficients on the optimal solution.
The sensitivity report typically includes the following information:
1. Shadow prices: These represent the rate of change in the objective function value for each unit change in the right-hand side (RHS) of a constraint. A positive shadow price indicates that an increase in the RHS will lead to an increase in the objective function value, while a negative shadow price indicates the opposite.
2. Allowable increase and decrease: These values indicate how much a constraint coefficient can change without affecting the optimal solution. If a constraint has a non-zero allowable increase or decrease, it means the coefficient can change within that range without impacting the optimal solution.
3. Objective coefficient range: This range shows the allowable range for the objective function coefficients without changing the optimal solution. If a coefficient falls within this range, it will not affect the optimal solution.
Using the sensitivity report, you can answer questions related to changes in the LP problem without re-solving it. For example:
1. How would an increase in the RHS of a specific constraint affect the optimal solution? You can refer to the shadow price of that constraint to determine the impact.
2. What is the maximum amount a constraint coefficient can change without affecting the optimal solution? You can check the allowable increase and decrease values for each constraint.
3. What is the range for the objective function coefficients where the optimal solution remains the same? You can refer to the objective coefficient range.
By analyzing the sensitivity report, you can gain insights into the stability and flexibility of the optimal solution without the need for re-solving the LP problem.
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A textbook is opened at random. What page numbers is the book opened to if the product of the opened page numbers is 132?
The book is opened to pages 11 and 12.
How to get the product of the page
So, we can write the equation:x * (x + 1) = 132
Expanding the equation, we get:
x² + x = 132
To solve for x, we need to rewrite the equation as a quadratic equation:
x²+ x - 132 = 0
Now, we can factor the quadratic equation:
(x - 11)(x + 12) = 0
This equation has two solutions for x:
x = 11
x = -12
Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.
So, the book is opened to pages 11 and 12.
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What is the maximum value of the transformed function, y = -3cos (2x - 8) + 5
A. 3 units
B. 5 units
C. 8 units
D. 11 units
Answer:
C. 8 units.
Step-by-step explanation:
The maximum value of the cosine ( cos) function is 1
So, for y = 3cos(2x - 8) + 5
Maximum value is 3 *1 + 5 = 8.
y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.
Fwam answered 149 questions correctly on his multiple choice science final that had
a total of 200 problems. What percentage of questions did Hvam answer correctly on
the final exam?
Answer:
he answered 74.5% of questions correctly
Find a parametric equation of the line which is the intersection of the planes - x + 3y + z = 7 and x + y = 1.
The parametric equation of the line which is the intersection of the planes - x+3y+z=7 and x+y=1 is- x= 1- t, y= t, z= 8- 4t.
Given: -x+3y+z=7 - (i)
x+y=1 - (ii)
Rearrange the equation (i) and (ii),
we get, -x+3y+z-7=0 -(iii)
x+y-1=0 -(iv)
To find the parametric equation of the line, solve the equation (iii) and (iv) simultaneously,
On solving the equation simultaneously we get,
4y+z-8=0
arrange this equation, z=8-4y -(v)
Let y=t -(vi)
putting the value of y in equation (v)
so we get, z=8-4t -(vii)
putting the value of y and z in equations (iii) or (iv)
-x+3t+8-4t-7=0
x=1 -t
Therefore the parametric equation of the line which is the intersection of the planes -x+3y+z=7 and x+y=1 are x = 1 - t, y = t, z = 8 - 4t.
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Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...
Answer:
\(a_{n}\) = 4 \((-5)^{n-1}\)
Step-by-step explanation:
There is a common ratio r between consecutive terms , that is
r = - 20 ÷ 4 = 100 ÷ - 20 = - 5
This indicates the sequence is geometric with nth term ( explicit formula )
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term and r the common ratio
Here a₁ = 4 and r = - 5 , then
\(a_{n}\) = 4 \((-5)^{n-1}\)
Complete the function
table below for y= 4x + 5. (Look at the photo.)
Answer:
5, 25, 45
Step-by-step explanation:
okay so it goes like this, the number in the x colume X 4 + 5 so 0 X 4 = 0 + 5 = 5, 5 X 4 is 20 + 5 = 25 and 10 X 4 =40 + 5 = 45.
I AM SO THANKFUL IF YOU HELP MEE!!!
Answer:
Step-by-step explanation:
i think its D
Points F(0,0), G(9,0), and H(9,12) are the vertices of a triangle. What is the distance from point F to point H? A. 9 B. 12 C. 15 D. 21
Answer:
It is D. 21
Step-by-step explanation:
Help due asap show workings please
he used 24 in of tape the length of the photograph is 7 in what is the width of the photograph
Answer:
If he taped the edges of the photograph, then the width is 5 inches.
Step-by-step explanation:
The perimeter of a rectangular photo is composed of 2 lengths and 2 widths
2l + 2w = 24in
l = 7in
2*7in + 2w = 24in
14in + 2w = 24in
2w = 10in
w = 5in
9) The cost per gallon of ice cream is $5.50. You have $55 to spendon ice cream.(a) Write an algebraic expression for the situation described above.(b) How many pints of ice cream can you buy for $55 ?
The value of x is 1. Find the value of each expression and type
the expressions in the table from least to greatest:
1-X
X-1
-1 + x
I
1st
2nd
3rd
4th
Answer:
can I get a hiaaa
How was the government able to make children go to residential school?
Mike (M) is 3 times as old as Trey (T). If Mike is 10 years older than Trey, how old is Trey? M = 3T M = T + 10
Answer:
Trey is 5
Step-by-step explanation:
5x3=15
5+=15
Use the definition of Taylor series to find the Taylor series (centered at c ) for the function. f(x)=e 4x
,c=0 f(x)=∑ n=0
[infinity]
The answer is , the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.
The Taylor series of a function f(x) centered at c is given by the formula:
\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)
Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)
Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
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The Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:
f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...
First, let's find the derivatives of f(x) = e^(4x):
f'(x) = d/dx(e^(4x)) = 4e^(4x)
f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)
f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)
Now, let's evaluate these derivatives at x = c = 0:
f(0) = e^(4*0) = e^0 = 1
f'(0) = 4e^(4*0) = 4e^0 = 4
f''(0) = 16e^(4*0) = 16e^0 = 16
f'''(0) = 64e^(4*0) = 64e^0 = 64
Now we can write the Taylor series expansion:
f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...
Substituting the values we found:
f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...
Simplifying the terms:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
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State whether the variable is discrete or continuous.The number of cars a car dealer sells in a day. The time it takes to have a medical physical exam.
A discrete variable is a variable whose value is obtained by counting while a continuous variable is a variable whose value is obtained by measuring.
From the question,
The number of cars a car dealer sells in a day is a discrete variable.
The time it takes to have a medical physical exam is a continuous variable.
En mi familia tres primos cumplimos años el mismo día y la abuela quiere regalarnos dinero a los tres para que nos compremos lo que deseamos.Sin embargo,a cada uno nos gustan cosas de diferentes precios,yo deseo gastar el dinero en un día de salida al cine y comer en algún restaurante,para lo cual mi abuela me dio 2 veces mas que el dinero que le dio a reiner;mientras que julio quiere un reloj y recibió cuatro veces lo que recibió reiner.El más pequeño de todos es reiner,el quiere dos juegos de xbox ¿que cantidad de dinero nos dio la abuela a cada uno por los cumpleaños, si en total por los tres sumaron $6000?
Answer:
Tu recibiste = $1714,3
Reiner recibió = $857,1
Julio recibió = $3428,6
Step-by-step explanation:
Podemos encontrar el dinero que recibieron todos mediante la siguiente expresión:
\( A + R + C = 6000 \)
Dado que A recibió 2 veces más que el dinero que Reiner y C recibió 4 veces lo que recibió Reiner, entonces:
\( 2R + R + 4R = 6000 \)
\( R = \frac{6000}{7} = 857,1 \)
Ahora, podemos encontar cuanto recbieron los otros dos primos:
\( A = 2R = 2*\frac{6000}{7} = \frac{12000}{7} = 1714,3 \)
\( C = 4R = 4*\frac{6000}{7} = \frac{24000}{7} = 3428,6 \)
Por lo tanto, tu recibiste $1714,3, Reiner recibió $857,1 y Julio recibió $3428,6.
Espero que te sea de utilidad!
y is less then or equal to 1/2x plus 2
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
The Excel function =40*RAND() would generate random numbers with standard deviation approximately equal to____.
The Excel function =40*RAND() generates random numbers between 0 and 40.
Since the RAND() function in Excel produces random numbers uniformly distributed between 0 and 1, multiplying it by 40 scales the range to 0 to 40.
The standard deviation of a uniform distribution with range a to b is given by (b - a) / sqrt(12). In this case, a = 0 and b = 40.which simplifies to approximately 11.55.
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Is 4 x 2/3 greater than 4?
Answer:
No
Step-by-step explanation:
4 is larger than 1, and 2/3 is less than 1, so if you multiply 4 by anything less than 1 you get a product that is less that the first factor.
Answer:
No
Step-by-step explanation:
if an object has a volume of 200 cubic feet and the unit weight is 150 pounds per cubic foof, what is its weight
Answer:
30,000 pounds
Step-by-step explanation:
\(200 \times 150 = 30000\)
62% of all bald eagles survive their first year of life. if 45 bald eagles are randomly selected, find the probability that
This results in a probability of approximately 0.044, or 4.4%. the probability of any number of eagles surviving their first year can be calculated using the binomial probability formula.
The probability of a bald eagle surviving its first year of life is 62%. If 45 bald eagles are randomly selected, we can use the binomial probability formula to calculate the probability of a certain number of eagles surviving their first year.
P(x=k) = (n choose k) * p^k * (1-p)^(n-k)
Where n is the total number of trials (45), k is the number of successes (surviving eagles), p is the probability of success (0.62), and (n choose k) is the binomial coefficient.
To find the probability that exactly 20 eagles survive their first year, we plug in the values:
P(x=20) = (45 choose 20) * 0.62^20 * 0.38^25
This results in a probability of approximately 0.044, or 4.4%.
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Find the volume of a right rectangular prism with length 12 in., width 10 in., and height 6 in. Round to the nearest tenth, if necessary.
The volume of the right rectangular prism is 720 cubic inches.
To find the volume of a right rectangular prism, you need to multiply its length, width, and height. In this case, the length is 12 inches, the width is 10 inches, and the height is 6 inches.
Volume = Length x Width x Height
Plugging in the values:
Volume = 12 in. x 10 in. x 6 in.
To calculate the volume:
Volume = 720 in³
Therefore, the volume of the right rectangular prism is 720 cubic inches.
Rounding to the nearest tenth, if necessary, means rounding the answer to one decimal place. The volume remains as 720 cubic inches without any rounding.
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help quick which ones greater 7.133 is _______ 7.1437
Answer:
7.1437 is greater
Step-by-step explanation:
Answer:
7.133 < 7.1437
Step-by-step explanation:
Line up the numbers till you find one that is greater
What happens if the insured tenant and the insurance company fail to agree on the amount of loss?.
Appraisal , If the insured and this insurer are unable to reach an understanding regarding the actual cash value or the extent of the loss, then, upon the written demand of either party, each shall choose a qualified and impartial appraiser and notify the other of the appraiser selected within 20 days of the demand.
What does the word "appraisal" mean?
A valuation by an authorized person of a piece of property, such as real estate, a company, a collectible, or an antique, is known as an appraisal.
An accreditation from a regulatory body overseeing the appraiser's area of practice is required for an authorized appraiser.
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