What will drink 3 taste like in comparison to drink 2?





a
Drink 3 will taste more sweet.
b
Drink 3 will taste the same as drink Drink 2.
c
Drink 3 will taste less sweet.

The maximum value of the function on the line z = 2 is 0.

To calculate the maximum value of \(f(x, y) = x^3y^5\) on the line z = 2, we need to optimize the function subject to the constraint.

First, let's rewrite the constraint equation z = 2 as y = 2. Now we have two equations:

\(f(x, y) = x^3y^5\)

y = 2

We can substitute the second equation into the first to eliminate y:

\(g(x) = x^3(2^5) = 32x^3\)

To obtain the maximum value of g(x), we can take its derivative with respect to x and set it equal to zero:

g'(x) = 96x^2 = 0

Solving for x:

x^2 = 0

This implies that x = 0.

To obtain the corresponding value of y, we substitute x = 0 into the constraint equation y = 2:

y = 2

Therefore, the maximum value of \(f(x, y) = x^3y^5\) on the line z = 2 is given by f(0, 2):

\(f(0, 2) = 0^3 * 2^5 = 0\)

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

Step-by-step explanation:

-2(-3) *2+1

6*2+1

12+1

13

Answer:

- 17

Step-by-step explanation:

Evaluate 1 - 2 x^2 where x = -3:

1 - 2 x^2 = 1 - 2×(-3)^2

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

1 - 29

Hint: | Multiply -2 and 9 together.

-2×9 = -18:

-18 + 1

Hint: | Subtract 18 from 1.

1 - 18 = -17:

Answer:  -17

Answer:

119 calories in a serving

Step-by-step explanation:

>>1 gram of carbs=4 cal

20 g of carbs times 4 calories per gram of carbs= 80 calories

>>1 gram of fat=9 calories

3 g of fat times 9 calories per gram of fat= 27 calories

>>1 gram of protein=4 calories

3 g of protein times 4 calories per gram of protein= 12 calories

<80+27+12=119 calories total in a serving of chips>

The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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The given points are

We are asked to find the midpoint.

Recall that the midpoint formula is given by

We have

Substitute the given values into the midpoint formula.

Therefore, the midpoint of H(-9, 3) and A (8, -3) is found to be

Or it can also be written in the decimal notation as

The time it takes for the cricket to land back on the ground after its initial jump is 7.5 seconds. This can be found by solving the quadratic equation h = -10t2 + 75t and setting each factor equal to 0. This gives us t = 0 and t= 7.5 seconds as the solutions. Since the cricket cannot take negative time to land, the answer we are looking for is 7.5 seconds.

To find the time it takes for the cricket to land back on the ground after its initial jump, we must solve the quadratic equation h = -10t2 + 75t. We can do this by first factoring the equation to -10(t2 - 7.5t) = 0 and then setting each factor equal to 0. This gives us t = 0 and t = 7.5 seconds as the solutions. Since the cricket cannot take negative time to land, the answer we are looking for is 7.5 seconds. This means that it takes 7.5 seconds for the cricket to land back on the ground after its initial jump.

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Answer:

72

Step-by-step explanation:

hard to explain

Complete question :

At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts. The side lengths of the block are 1.1, 0.8, 1.3. How much reflective material is needed to cover the block completely, without any overlaps?

Answer:

6.7 unit^2

Step-by-step explanation:

Taking the dimension of the ice block as :

1.1 by 0.8 by 1.3

The total reflective material which will used to cover the ice block must have the same surface area as the ice block.

Shape of ice block = rectangular prism.

Taking the surface area if a rectangular prism :

Using the relation :

2(lw * lh * wh)

Where l = Length = 1.1

Width w = 0.8

Height h = 1.3

Therefore,

2[(1.1*0.8) + (1.1*1.3) + (0.8*1.3)]

2[(0.88) + (1.43) + (1.04)]

2(3.35)

= 6.7 unit^2

Reflective material should be 6.7 unit^2

The total reflective material required is 6.7 square units

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.

Given that:-

The total reflective material which will be used to cover the ice block must have the same surface area as the ice block.

The shape of the ice block = is a rectangular prism.

Taking the surface area of a rectangular prism by using the relation :

SA = 2(  lw x   lh  x  wh  )

Where l = Length = 1.1

Width w = 0.8

Height h = 1.3

Therefore,

SA = 2 [(1.1 x 0.8) + (1.1  x 1.3) + (0.8  x  1.3)]

SA =  2  [  (0.88) + ( 1.43 ) + ( 1.04 )  ]

SA  =  2 ( 3.35 )

SA  = 6.7 square units

Therefore the Reflective material should be 6.7 square units

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Answer:

the answer would be 160H

The cost of a job that lasts 1.5 hours is  $ 192.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The charge of each job by the plumbing company = $ 95

The charge on each hour for each job = $ 65

The equation for the cost of a job is = 65h + 95

where h is the number of hours for the job

Now , to calculate the cost of job that lasts 1.5 hours ,

substitute the value of h as 1.5

And , the equation becomes

= 65h + 95

= 65 ( 1.5 ) + 95

= 97.5 + 95

= $ 192.5

Hence , the cost of a job that lasts 1.5 hours is  $ 192.5

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Evan can play 2 games of mini golf and 9 games of kart track.

Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,

He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.

We need to find how many games he played of both the games,

So, let he played x games of kart track and y games of mini golf,

So,

x + y = 11

x = 11 - y.............(i)

10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]

Use the equation i in ii,

So,

10(11-y) + 45y = 180

110 - 10y + 45y = 180

35y = 70

y = 2

Put y = 2 in equation 1,

x = 11-2

x = 9

Hence he played 2 games of mini golf and 9 games of kart track.

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The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

\(c = {g}^{2} + {f}^{2} + {r}^{2} \\ c = {2}^{2} + {( - 9)}^{2} + {3}^{2} \\ c = 94 \\ = > \: {x}^{2} + {y}^{2} - 4x + 18y + 94 = 0\)

Answer:

4-3 of cup

Step-by-step explanation:

just took the test

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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(A) For the function f(x, y) = x + y + 2, the max value = 2 - √2 and the min value = 2 + √2.

(B) For the function f(x, y) = 2x² + 3y², the max value = 3 and the min value = 2.

(C) For the function f(x, y) = 2x² - 3y², the max value = 2 and the min value = -3.

(A) Given the function,

f(x, y) = x + y + 2

Now differentiating we get, ∇f = < 1, 1 >

The equation of the circular disk is, g(x): x² + y² ≤ 1.

So the gradient of circular disk is, ∇g = < 2x, 2y >

Let λ be the Lagrange multiplier such that,

∇f = λ ∇g

< 1, 1 > = λ < 2x, 2y >

So, λ = 1/2x and λ = 1/2y

So, clearly x = y.

Now, x² + y² = 1 gives

2x² = 1

x² = 1/2

x = ± 1/√2

So, y = x = ± 1/√2

At (1/√2, 1/√2), f(x, y) = √2 + 2

At (-1/√2, - 1/√2), f(x, y) = - 1/√2 - 1/√2 + 2 = 2 - √2

So the max value is 2 + √2 and min value is 2 - √2.

(B) Given the function,

f(x, y) = 2x² + 3y²

Now differentiating we get, ∇f = < 4x, 6y >

The equation of the circular disk is, g(x): x² + y² ≤ 1.

So the gradient of circular disk is, ∇g = < 2x, 2y >

Let λ be the Lagrange multiplier such that,

∇f = λ ∇g

< 4x, 6y > = λ < 2x, 2y >

So, λ = 2 and λ = 3

Now, x² + y² = 1 gives

When x = 0 then y = ±1

and when y = 0 then x = ± 1

At (± 1, 0), f(x, y) = 2

At (0, ±1), f(X, y) = 3

So the max value is 3 and min value is 2.

(C) Given the function,

f(x, y) = 2x² - 3y²

Now differentiating we get, ∇f = < 4x, -6y >

The equation of the circular disk is, g(x): x² + y² ≤ 1.

Now, x² + y² = 1 gives

When x = 0 then y = ±1

and when y = 0 then x = ± 1

At (± 1, 0), f(x, y) = 2

At (0, ±1), f(X, y) = - 3

So the max value is 2 and min value is -3.

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Answer:

uhh... that is impossible to know since we don't know the value 'y'

Step-by-step explanation:

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

n = 4

Step-by-step explanation:

Tell me if you need a explanation.

The driver was driving at a speed of about 14 mi/h at the time of the skid. option is C. 14 mi/h

Using the formula s = √(30fd), where f is the coefficient of friction (0.7) and d is the length of the skid marks in feet (9), we can estimate the speed at the time of the skid:

s = √(30 × 0.7 × 9)

s ≈ 14.53 mi/h

Rounding to the nearest mi/h, the driver was driving at approximately 15 mi/h at the time of the skid. However, none of the given options match this result. The closest option is C. 14 mi/h, so I would choose that as the best available answer.

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Answer:

x = -2/3  x=1

Step-by-step explanation:

We cant solve by substitution with just one equation

-3x^2 + x +2=0

Factor out a negative

-(3x^2 -x-2) = 0

Divide by negative 1

(3x^2 -x-2) = 0

Factor

(3x +2) (x-1)=0

Using the zero product property

3x+2 =0   x-1 =0

3x= -2   x=1

x = -2/3  x=1

Answer:

\(x = \frac{2}{3} \\ x = - 1\)

Step-by-step explanation:

\(x - 3 {x}^{2} + 2 = 0 \\ - 3 {x}^{2} + x + 2 = 0 \\ - 3 {x}^{2} - 3x + 2x + 2 = 0 \\ - 3x(x + 1) + 2(x + 1) = 0 \\ ( - 3x + 2)(x + 1) = 0\)

\( - 3x + 2 = 0 \\ - 3x = - 2 \\ \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} \)

\(x + 1 = 0 \\ x = - 1\)

hope this helps

brainliest appreciated

good luck! have a nice day!

The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.

The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.

To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.

Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.

The constant of integration arises because integration does not provide a unique solution.

The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.

To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.

It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.

Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.

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Answer:

5 gallons

Step-by-step explanation:

times both the rate of the gas pumping and the time it takes by 12/1

so you could get half a minute.

then you get 60/12 gallons pumped per 1/2 min

then you just simplify it to 5 gallons per half minute

The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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Answer:

D

Step-by-step explanation:

The vertical velocity of the string at the origin at time t would be zero, as the origin is a fixed point.

The origin is a fixed point, so it does not move. This means that the vertical velocity of the string at the origin at time t would be zero.

The origin of the string is a fixed point, meaning that it does not move. This implies that the vertical velocity of the string at the origin at time t would be zero, as the origin does not move or change its position. Since the origin is a fixed point, the vertical velocity of the string at the origin at time t would remain constant, and would be equal to zero. Thus, the vertical velocity of the string at the origin at time t would be zero.

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Answer:

123456098765432112345678900000000000000000000000987654444443221111111111122222233333333333334444444444455555555555556666666666666667777777777888888888889999999000

Step-by-step explanation: