Answer:
Step-by-step explanation:
You and your family are going on a
family cruise this summer! WOO HOO!
Your parents had to put down a $250
deposit. Then, the cruise costs $500
per person on top of that. There are 5
people in your family. How much will
the entire cruise cost? Okay
Find the maximum and minimum values of the function f(x, y) = exy subject to x^3 + y^3 = 54
To find the maximum and minimum values of the function f(x, y) = exy subject to x^3 + y^3 = 54, we need to use the method of Lagrange multipliers.
Let's define g(x,y) = x^3 + y^3 - 54 as our constraint equation. Then, the Lagrangian function is:
L(x,y,λ) = exy + λ(x^3 + y^3 - 54)
Taking the partial derivatives with respect to x, y, and λ and setting them equal to 0, we get:
∂L/∂x = ey + 3λx^2 = 0
∂L/∂y = ex + 3λy^2 = 0
∂L/∂λ = x^3 + y^3 - 54 = 0
From the first two equations, we can solve for x and y in terms of λ:
x = (-ey/3λ)^(1/2)
y = (-ex/3λ)^(1/2)
Substituting these expressions into the third equation, we get:
(-ex/3λ)^(3/2) + (-ey/3λ)^(3/2) - 54 = 0
We can solve for λ in terms of e:
λ = e^(2/3)/(2*3^(1/3))
Substituting this back into the expressions for x and y, we get:
x = 3^(1/6)*e^(1/3)/y^(1/2)
y = 3^(1/6)*e^(1/3)/x^(1/2)
Now, we can find the critical points by setting the partial derivatives of f(x,y) = exy equal to 0:
∂f/∂x = ey(x) = 0
∂f/∂y = ex(y) = 0
From the expressions for x and y above, we see that x and y cannot be 0. Therefore, the only critical point is when e^(xy) = 0, which is not possible.
Thus, the function has no critical points in the interior of the region defined by the constraint equation. This means that the maximum and minimum values of the function must occur on the boundary of the region.
We can parametrize the boundary using polar coordinates:
x = 3^(1/3)cos(t)
y = 3^(1/3)sin(t)
Substituting these into f(x,y) = exy, we get:
f(t) = e^(3^(2/3)cos(t)sin(t))
To find the maximum and minimum values of f(t), we can take the derivative with respect to t and set it equal to 0:
f'(t) = 3^(2/3)e^(3^(2/3)cos(t)sin(t))(cos(2t) - sin(2t)) = 0
The solutions to this equation are t = π/4 and t = 5π/4.
Substituting these values back into f(t), we get:
f(π/4) = f(5π/4) = e^(3^(2/3))
Therefore, the maximum and minimum values of the function f(x,y) = exy subject to x^3 + y^3 = 54 are both e^(3^(2/3)).
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The Giant Anteater can eat 70,000 ants in 2 days. It’s true
Answer:
cool
Step-by-step explanation:
is this a question?
A farmer has 8 horses and 12 cows. He put 1/4 of the horses in the barn and 1/4 of cows in the barn. Did he put more horses or cows in the barn? explain
Answer:
More cows
Step-by-step explanation:
more cows because:
8*1/4=2
12*1/4=3
evaluating all possible values of a variable in a model is called
Evaluating all possible values of a variable in a model is called a sensitivity analysis.
A sensitivity analysis is a technique used to assess the impact of changes in the values of input variables on the output or outcome of a model or system. It involves systematically varying the values of the variables within a defined range and observing the corresponding changes in the model's output.
The purpose of a sensitivity analysis is to understand how sensitive the model is to changes in the input variables and to identify which variables have the most significant influence on the model's results.
During a sensitivity analysis, different scenarios are created by varying one or more input variables while keeping others constant. By examining the resulting changes in the model's output, analysts can gain insights into the relationships and dependencies between the variables and assess the robustness of the model's predictions or decisions.
Sensitivity analysis helps in understanding the potential risks, uncertainties, and limitations associated with the model, and can aid in decision-making and improving the model's performance by identifying critical variables that need to be carefully monitored or controlled.
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Sarah spends
1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. What is the total amount of time Sarah spends washing her mom's car?
To solve the problem, use the given information that Sarah spends 1/6 hour vacuuming her mom's car and spends 4 times as long washing the car. To determine the total amount of time Sarah spends washing her mom's car, multiply the time she spends vacuuming by 4.
Hence, the total time is 1/6 x 4 = 2/3. Therefore, Sarah spends 2/3 hour washing her mom's car.Additionally, it is possible to compute the answer to the question using the steps outlined below.Step 1: Determine the time spent vacuumingSarah spends 1/6 hour vacuuming her mom's car.
Step 2: Calculate the time spent washing Sarah spends 4 times as long washing the car as she spends vacuuming. Thus, the time spent washing is:1/6 x 4 = 2/3 hourTherefore, Sarah spends 2/3 hour washing her mom's car.
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»Ms. Tyson is doing an engineering challenge with her students. Each team will get a kit with
bags of marshmallows and boxes of toothpicks. Ms. Tyson has 36 bags of marshmallows
and 48 boxes of toothpicks. She wants to use all the bags of marshmallows and all the
boxes of toothpicks to make identical kits for the teams.
Which of the following numbers of identical kits can Ms. Tyson make?
Choose ALL that apply.
1
2
5
6
10
15
This demοnstrates that οne kit requires 3 bags οr marshmallοws & 4 bοxes οf tοοthpicks, and that 12 kits οf the same design can be created using all the packs οf marshmallοws & tοοthpicks. Thus, the cοrrect answers are 1 and 12.
Are marshmallοws healthy tο eat?Marshmallοws aren't a nutritiοus snack οn their οwn. They are virtually cοmpletely made οf sugar and dοn't cοntribute anything tο yοur regular intake οf healthy nutrients. Sοmetimes enjοying a marshmallοw wοn't affect yοu tοο much, but cοnsistently cοnsuming burned marshmallοws can be harmful tο yοur health.
Accοrding tο qualified dietitian Grace Desai, "pancakes are nοt vegan since they include gelatin, the animal prοtein prοduced frοm the ligaments, ligaments, οr skin οf animals, including such cοws and pigs."
36 bags οf marshmallοws = m(kits)
48 bοxes οf tοοthpicks = t(kits)
Tο find the number οf identical kits, we need tο find the greatest cοmmοn factοr οf 36 and 48. We can find the prime factοrizatiοn οf each number:
\($\begin{array}{l}{{36=2^{2}*3^{2}}}\\ {{48=2^{4}*3}}\end{array}$\)
The greatest cοmmοn factοr is the prοduct οf the cοmmοn factοrs with the lοwest expοnent, which is \($2^{2} \times 3=12$\). Therefοre, Ms. Tysοn can make 12 identical kits.
Tο check that is the maximum number οf identical kits that can be made, we can divide the number οf bags οf marshmallοws and bοxes οf tοοthpicks by 12:
36 bags οf marshmallοws/12 = 3 bags per kit
48 bοxes οf tοοthpicks/12 = 4 bοxes per kit
Therefοre, the cοrrect answers are 1 and 12.
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what ratio is equivalent to 15:27
Answer: 5:9
Explanation:
You can create a equivalent ratio by simplified. A common factor between both numbers is 3. If you divide both sides of the ratio by 3, you get 5:9.
:)
Answer:
5:9
Step-by-step explanation:
1. Find the least Common Factor, which is 3.
2. Then divide 15 by 3, which equals 5.
3. Then divide 27 by 3, which equals 9.
3. Finally just put it together to make the answer, 5:9.
I’m not sure if this is right or not but I tried…
which of the following is a logarithmic function? y = x + 3
The given equation, y = x + 3, is not a logarithmic function. A logarithmic function is a type of function where the variable appears as the exponent of a fixed base.
To determine if a function is logarithmic, we need to check if the variable is the exponent. In the given equation, the variable x appears as an additive term with a constant value of 3. It is not the exponent of any base. Therefore, y = x + 3 is not a logarithmic function.
An example of a logarithmic function is y = log(base 2)(x), where the variable x appears as the exponent with a fixed base of 2. In this function, the logarithm helps us find the power to which 2 must be raised to obtain x.
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Determina la unión de los siguientes subconjuntos
U = ( a, b. U = {a, b, c, d, e}, A = {a, b, d}, B = {b, d, e} y C = {a, b, e}
1. AUB=
2. AUC=
3.BUC=
1. AUB = {a, b, d, e}
2. AUC = {a, b, d, e}
3. BUC = {a, b, d, e}
In each case, the union includes the elements shared between the sets and the unique elements from each set, without repetitions.
To determine the union of the given subsets, we need to combine all the elements without repetition. Let's analyze each case:
1. AUB:
The set A contains the elements {a, b, d}, and the set B contains the elements {b, d, e}. By combining both sets, we obtain the union AUB = {a, b, d, e}. This is the collection of all the elements that appear in either A or B, without duplicates.
2. AUC:
The set A contains the elements {a, b, d}, and the set C contains the elements {a, b, e}. By combining both sets, we obtain the union AUC = {a, b, d, e}. Once again, this set includes all the elements that appear in either A or C, without repetition.
3. BUC:
The set B contains the elements {b, d, e}, and the set C contains the elements {a, b, e}. By combining both sets, we obtain the union BUC = {a, b, d, e}. Similarly, this set represents all the elements that appear in either B or C, without duplicates.
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In a certain chemical, the ratio of zinc to copper is 4 to 19 . A jar of the chemical contains of copper. How many 741 grams of zinc does it contain?
Based on the ratio of zinc to copper, and the grams of copper in the jar, the grams of zinc will be 156 grams of Zinc
How to find the grams?The ratio of zinc to copper is 4 to 19 which means that for every 4 grams of Zinc, the chemical will have 19 grams of copper.
The means that if there is 741 grams of copper, the grams of Zinc will be:
= (Grams of Copper x Ratio of Zinc) / Ratio of copper
Solving gives:
= (741 x 4) / 19
= 2,964 / 19
= 156 grams of Zinc
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How are pairs of alternate interior angles related to one another? How are pairs of alternate exterior angles related to one another? Describe the relationship between these pairs using geometric terms.
Answer:Each pair of alternate interior angles is congruent, and each pair of alternate exterior angles is congruent.
Step-by-step explanation:
explain how to graph the circle by hand on the coordinate plane (3 points)
First find the center, then graph all the points that are at a distance of R units from that center.
How to graph a circle by hand?A circle of radius R is the set of all points that are at a distance R from a given point (the center of the circle).
So to graph it, we need to know these two things, radius and center.
Once we do, first we graph the center on the coordinate plane.
Once we find the center, we can find all the poiints that are at a distance of R units from our center, so we need to graph these. Once we do, we will have the graph of our circle on the coordinate plane.
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The sum of 8 and the quotient of a number and 25
Answer:
8 + n/25
Step-by-step explanation:
Debido a que los __________, por ellos mismos, no son suficientes para _________ completamente los golpes provocados por las irregularidades del terreno, las suspensiones incorporan ______________ interpuestos entre el eje y el chasis. (completar)
Debido a que los amortiguadores, por ellos mismos, no son suficientes para absorber completamente los golpes provocados por las irregularidades del terreno, las suspensiones incorporan muelles interpuestos entre el eje y el chasis.
Los amortiguadores son elementos clave en los sistemas de suspensión de los vehículos, ya que absorben la energía generada por las irregularidades del terreno y evitan que las vibraciones lleguen al chasis y a la carrocería del vehículo. Sin embargo, los amortiguadores por sí solos no son suficientes para proporcionar una conducción suave y cómoda. Por esta razón, se incorporan muelles entre el eje y el chasis para ayudar a absorber los golpes y las vibraciones adicionales. Los muelles están diseñados para comprimirse y expandirse de manera controlada, lo que reduce la transferencia de energía al chasis del vehículo y mejora la estabilidad y el confort de la conducción.
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plz help me with this ..
Step-by-step explanation:
hope it helps if not go to that app
please help with this problem.
Which graph is not a function?
Please help me!!!
Answer:
First one
Step-by-step explanation:
The first is not a function ( the flower-looking one) ...it does not pass the 'vertical line test'
A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
dimensions of her drawing are 7 inches long by 3 inches wide. Her partner plans
to make another scale drawing of the lawn, but with a scale factor of 1:2.
What are the dimensions of her scale drawing?
5 of 16 QUESTIONS
The length is 0.6 inch and the width is 1.4 inches.
The length is 15 inches and the width is 35 inches.
The length is 35 inches and the width is 15 inches.
The length is 1.4 inches and the width is 0.6 inch
SUB
Answer:
The length is 35 inches and the width is 15 inches.
Step-by-step explanation:
First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.
Now, we have to divide this in the ratio 1:2, which gives
The length of 35 inches and the width of 15 inches.
Hope this helps
Answer:
Your answer is 3 or C.. 35 inches and width of 15 :)
Step-by-step explanation:
susan is making a flag. she buys 3 3/4 yards of fabric. she uses 9/10 of this piece of fabric. how many yards of the 3 3/4 yards of fabric that she bought did she actually use?
On solving the provided question, we can say that by unitary method we got that the 3, 3/4 yards of fabric that she bought did she actually use
\(3\frac{3}{4} - 9/10 = > 31/10\)
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
she buys = 3, 3/4 yards of fabric
she uses = 9/10 of this piece of fabric
the 3, 3/4 yards of fabric that she bought did she actually use
\(3\frac{3}{4} - 9/10\\15/4 - 9/10\\150 - 36/40\\124/40\\62/20\\31/10\)
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The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City B.
The experimental probability that a person selected at random is going to City B is __
Answer:
3/50
Step-by-step explanation:
The experimental probability that a person selected at random is going to City B is 19/50.
What is the experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
The table shows the results of a survey of 100 people selected at random at an airport.
The total number of responses is;
= 24 + 38 + 14 +22 +2
= 100
The experimental probability that a person selected at random is going to City B is given by;
\(\rm Probability =\dfrac{Responses \ from \ city \ B}{Total \ responses}\\\\ Probability =\dfrac{38}{100}\\\\ Probability =\dfrac{19}{50}\)
Hence, the experimental probability that a person selected at random is going to City B is 19/50.
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Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.
A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold
Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.
Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.
If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.
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A man paid $296 for 8 books. How much did he pay for each book?
Divide total pain by number of books.
296/8 = 37
He paid $37 per book
Raina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ralna $4.25 per pound, and type B coffee costs $5.60 per pound. This month, Raina made 156 pounds of the blend, for a total cost of $796.65. How many pounds of type B coffee did she use?
Answer:
Step-by-step explanation:
Let's assume Raina used x pounds of type A coffee and (156 - x) pounds of type B coffee.
The cost of type A coffee is $4.25 per pound, so the total cost of type A coffee used would be 4.25x dollars.
The cost of type B coffee is $5.60 per pound, so the total cost of type B coffee used would be 5.60(156 - x) dollars.
According to the given information, the total cost of the blend is $796.65, so we can set up the equation:
4.25x + 5.60(156 - x) = 796.65
Let's solve this equation to find the value of x:
4.25x + 873.6 - 5.60x = 796.65
-1.35x = -76.95
x = -76.95 / -1.35
x ≈ 57
Therefore, Raina used approximately 57 pounds of type A coffee.
To find the pounds of type B coffee, we subtract the pounds of type A coffee from the total:
156 - x = 156 - 57 = 99
Raina used 99 pounds of type B coffee.
A candy store uses 10. 3 grams of sugar each hour. How many grams of sugar will the store use in 10 hours?
The candy store will use 103 grams of sugar in 10 hours.
To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).
To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.
We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.
So the calculation would be:
10.3 grams/hour x 10 hours = 103 grams
Therefore, the candy store will use 103 grams of sugar in 10 hours.
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For A science experiment Marcia dissolved 1.0 kilograms of salt in 3.0 liters of water for a different experiment Bobby dissolved 2.0 pounds of salt and 7.0 pints of water which person made a more concentrated salt solution explain use 1 L =2.11 pints round your answer to the nearest hundredth
Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.
Concentration of each solution
The concentration of each solution is calculated as follows;
Concentration = mass/volume
For Marcia:Concentration = 1 /3 = 0.33 kg/L
For Bobby:1 pound = 0.454 kg2 pounds = 0.908 kg2.11 pints = 1 L7 pints = 3.318 LConcentration = 0.908/3.318 = 0.27 kg/L
Thus, Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.
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Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
For A science experiment, Marcia dissolved 1.0 kilograms of salt in 3.0 liters of water, for a different experiment Bobby dissolved 2.0 pounds of salt and 7.0 pints of water.
For Marcia, the concentration:
The ratio of mass to volume = 1/3 = 0.33 kg/L
For Bobby, the concentration:
The ratio of mass to volume = 2/7 pounds/pint = (2/2.205)/(7/2.11)
= 0.907/3.317 = 0.27 kg/L
Thus, Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.
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Jada says,”I can tell that-2/3(x+5)+4(x+5)-10/3(x+5) equals 0 just by looking at it.” Is Jada correct? Explain how you know.
Answer:
Hi!
Yes, Jada is correct. If you evaluate the equation from left to right, you will see that the answer is 0.
I hope this helped you! :)
pls help i will give u brainliest!! ^_^
what is the average speed of a walker who walks 500m in 400 seconds
Answer:
1.25 meters a second
Step-by-step explanation:
Calculator
Josie surveyed a random sample of 100 student at her school about their favorite teacher.There are 1500 student in the school.The result are shown in the grap
Answer:
c and d
Step-by-step explanation:
read it
Answer: C and D
Step-by-step explanation: