which term best describes the number of solutions that will maximize the function below given the constraints listed? (assume that and .) 3x 2y a. one optimal solution c. unbounded b. alternate optimal solutions d. infeasible please select the best answer from the choices provided a b c d

Answer: The area is 6.5

The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.

Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:

F_B = m_p * g

Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.

To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).

m_b = V * ρ

Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).

m_p = n * m

Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.

n = (F_B) / (m * g)

Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

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As the x-values approach negative infinity, the function's values approach positive infinity, which is the right assertion regarding the graph's final behavior. The right answer is D.

A function in mathematics is an expression, rule, or law that determines the relationship between two variables, one of which is independent, and the other of which is dependent (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.

According to given information;

In light of the available data, the graph in the question depicts a function. The graph reveals the conclusions listed below:

At x=0, the function's value is 0.

The value of the function is 0 at x=0.

The function has a minimum value at x=2.4.

As the value of x reaches negative infinity, the function tends to positive infinity because it is open upwards.

As the value of x reaches positive infinity, the function tends to positive infinity because it is open upwards.

From the above conclusions, it can be said that "as the x-values go to negative infinity, the function's values go to positive infinity".

Therefore, option D is correct.

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Answer:77 cents Clara found 77 cents bc you just need to add up the cents and you have it

77 cents

So 2 quarters is 50 cents and you have a nickel: 5 cents, then you have 2 pennies (2 cents), then you have 2 dimes. Now all you have to do is add them all together to get your answer.

5 cents + 25 cents= 30 cents

30 cents + 20 cents= 50 cents

50 cents + 25 cents= 75 cents

75 cents + 2 cents= 77 cents

So Clara would have 77 cents in her desk drawer.

Answer:

105

Step-by-step explanation:

Answer:

\(2y^2-7y+6=0\)

Step-by-step explanation:

We are given that \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(6y^2-7y+2\)

\(y^2-\frac{7}{6}y+\frac{1}{3}\)

We have to find a quadratic polynomial whose zeroes are \(1/\alpha\) and \(1/\beta\).

General quadratic equation

\(x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes\)

We get

\(\alpha+\beta=\frac{7}{6}\)

\(\alpha \beta=\frac{1}{3}\)

\(\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}\)

\(\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}\)

\(\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2\)

\(\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}\)

\(\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3\)

Substitute the values

\(y^2-(7/2)y+3=0\)

\(2y^2-7y+6=0\)

Hence, the quadratic polynomial whose zeroes are \(1/\alpha\) and \(1/\beta\) is given by

\(2y^2-7y+6=0\)

2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

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The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

Answer:

88% of the free throws were made

Answer:

88%

Step-by-step explanation:

to find the percentage of free throws made, divide the number the player made, by the total number of shots.  88/100 equals 0.88

Multiply that decimal by 100 to get the answer in the form of a percentage.

Answer:

6

Step-by-step explanation:

There are 46 children attending the field trip.

Each van needs to transport 8 children.

To find the number of vans they need, we will divide the number of children by the number of children per van:

46 / 8 = 5.75 ≅ 6 vans

They need 6 vans.

Answer:

1

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

Answer:

42.1

Step-by-step explanation:

The formula to calculate distance is √[(x₂ - x₁)² + (y₂ - y₁)²]. Using (22,27) as our x1 and y1, and (2,-10) as our x2 and y2.

Therefore our formula is √[(2 - 22)² + (-10 - 27)²].

(2 - 22)² = 400

(-10 - 27)² = 1369

(Make sure for both of these you put the negative number in parenthesis and the exponent outside them, if you are using a calculator of some sort)

Then we add and square root

√[400 + 1369] = 42.0594816896

The distance between the points (22,27) and (2,-10) is 42.1 units

The coordinates of the points are (22,27) and (2,-10)

The distance is calculated as:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2\)

So, we have:

\(d = \sqrt{(22 -2)^2 + (27 +10)^2\)

Evaluate

\(d = \sqrt{1769\)

Take the square root

d = 42.1

Hence, the distance between the points (22,27) and (2,-10) is 42.1 units

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Answer:

X  Y

0  -2

1   -1

PLEASE MARK BRAINLEIST THANK U

The 5-number summary are:

Th box plot suggests that the values in the dataset are close to the median and there are no extreme outliers.

To know 5-number summary, we will sort the data in ascending order:

\(0.598, 0.751, 0.752, 0.766, 0.771, 0.820\)

The 5-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3) and maximum.

To create a box plot, we represent these values on a number line. We draw a box between Q1 and Q3, with a vertical line at the median. Then, we extend lines (whiskers) from the box to the minimum and maximum values.

0.598 0.752 0.766 0.771 0.820

|---------|---------|---------|---------|

|-------------------|

Median

The variability of the data around the median. The data exhibits relatively low variability around the median. The range between the first quartile (Q1) and third quartile (Q3) is narrow, indicating that the middle 50% of the data is tightly grouped together.

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Answer:

11.0 hours

Step-by-step explanation:

The times, recorded for a particular order are shown below:

Move time                     2.7 hours

Wait time                       26.4 hours

Queue time                   6.4 hours

Process time                  1.8 hours

Inspection time              0.1 hours

Throughput time is also known as cycle time/ manufacturing throughput time, it is the time needed to produce an item. It is the time taken for the item/product to be converted from a raw material into a product ready for use. The throughput time is the sum of the move time, queue time, process time and inspection time.

Throughput time = move time + queue time + process time + inspection time.

Throughput time = 2.7 hrs + 6.4 hrs + 1.8 hrs + 0.1 hrs = 11 hrs

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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The distance d that the spot of paint has moved in 2 seconds if the radius of the wheel is 50 centimeters is 100π centimeters.

To find the distance that the spot of paint has moved in 2 seconds, we need to find the linear speed of the spot of paint. We know the radius of the wheel, and we just found the angular speed of the wheel. So, we can substitute those values in the formula to get:

Linear speed = 50 × π

Linear speed = 50π centimeters per second

Now, we can find the distance that the spot of paint has moved in 2 seconds by using the formula:

Distance = speed × time

We just found that the linear speed of the spot of paint is 50π centimeters per second, and the time taken is 2 seconds.

So, we can substitute those values in the formula to get:

Distance = 50π × 2Distance = 100π centimeters

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Answer:

32%

Step-by-step explanation:

Well, 14+8+3=25

So, 8/25=32/100, which means 32%

Answer:

Person above me is right

The length of the two-dimensional curve is 12 units

First, let use the formula for arc length formula for a curve parameterized by r(t) = (x(t), y(t)) is given by:

We have

\(L = \int\limits^a_b {x'(t)^2 + y'(t)^2} \, dt\)

But we have that;

Now, let's find the differentiation with respect to t, we have;

For x, we have;

\(x'(t) = -6sin(t) + 6sin(t) + 6t cos(t)\)

\(x'(t) = 6t cos(t)\)

For y, we have;

\(y'(t) = 6cos(t) - 6cos(t) + 6t sin(t)\)

\(y'(t) = 6t sin(t)\)

Now, let's substitute the values, we have;

L = \(\int\limits^0_2 {\sqrt{(6t cos(t)^2 + (6t sin(t))^2} } \, dt\)

L =\(\int\limits^0_2 {\sqrt{36t^2(cos^2(t) + sin^2(t)} } \, dt\)

L =\(\int\limits^0_2 {\sqrt{(36t^2)} } \, dt\)

L = = ∫\(\int\limits^0_2 {6t} \, dt\)

L = 3t²

L = 3(2)²

L = 12 units

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Answer:

X >  -3, 0.28, 4

Step-by-step explanation:

x - 7 >  -12 - To solve add 7 to both sides

x > -5 Which means every number GREATER but not EQUAL to 5 will count as a solution to the equation, therefore 5 is not a correct answer. -3 is greater then -5, and any positive number is greater then any negative number.

Therefore the Correct Answer is : -3. 0.28, 4

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The attached graph represents the number line of the inequality |2x - 5] ≥ 3

The inequality is given as:

|2x - 5] ≥ 3

Remove the absolute value sign

2x - 5 ≥ 3 or 2x - 5 ≥ -3

Add 5 to both sides

2x ≥ 5 + 3 or 2x ≥ 5-3

Evaluate

2x ≥ 8 or 2x ≥ 2

Divide through by 2

x ≥ 4 or x ≥ 1

Combine both inequalities

x ≤ 1 and x ≥ 4

See attachment for the number line

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(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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Answer:

It'll have an open circle on both 7 and 21, with a line connecting.

Which is none of the options, unless one isn't shown?

Step-by-step explanation:

-23 > -4x + 5 > -79

So:

-23 > -4x + 5

-23 - 5 > -4x

-4x < -28

x > -28 / -4

x > 7

-4x + 5 > -79

-4x > - 79 - 5

-4x > -84

x < -84 / -4

x < 21

Step-by-step explanation:

25-9=16

4x=16

x=4

mask =$4

36 different sandwiches

can be made.

To calculate the number of different sandwiches that can be made using 1 type of bread, 1 type of meat, and 1 type of cheese, we need to multiply the number of options for each ingredient together.

In this case, there are 3 options for bread, 4 for deli meat, and 3 for cheese. To find the total number of different sandwiches, we multiply these numbers:

3 (options for bread) x 4 (options for meat) x 3 (options for cheese) = 36

Therefore,

36 different sandwiches can be made

using 1 type of bread, 1 type of meat, and 1 type of cheese.

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Answer:

12

Step-by-step explanation:

h(n)=3n

h(4)

1. Subsitute 4 for n

h(4)=3*4

h(4)=12

Answer:

12

Step-by-step explanation:

h(4)=3n

h(4)=3(4)

h(4)=12