please help will give brainliest to first correct answer

The correct choice is that  the absolute maximum value is 25.

To find the absolute maximum and minimum values of the function f(x,y) = \(x^2 + y^2\)- 2y + 1 on the set R = {(x, y) |\(x^2 + y^2 ≤ 16\)}, we need to look for critical points and boundary points.

First, we find the critical points by setting the partial derivatives of f(x,y) with respect to x and y equal to zero:

∂f/∂x = 2x = 0

∂f/∂y = 2y - 2 = 0

Solving these equations simultaneously gives us the critical point (0,1).

Now, we look at the boundary of the set R, which is the circle centered at the origin with radius 4. We can parameterize this circle using polar coordinates:

x = 4cosθ

y = 4sinθ

Substituting these values into f(x,y), we get:

f(θ) =\(16cos^2θ\) + \(16sin^2θ\) - 8sinθ + 1

= 17 - 8sinθ

To find the maximum and minimum values of f(θ), we can take its derivative:

df/dθ = -8cosθ

Setting df/dθ = 0 gives us cosθ = 0, which has solutions θ = π/2 and θ = 3π/2. Therefore, the maximum value of f(θ) occurs at θ = π/2 or θ = 3π/2, and is:

f(π/2) = 17 + 8 = 25

Similarly, the minimum value of f(θ) occurs at θ = π/2 + π = 3π/2, and is:

f(3π/2) = 17 - 8 = 9

Comparing these values to the value of f at the critical point, f(0,1) = \(0^2\)+ \(1^2 - 2(1)\)+ 1 = 0, we see that the absolute maximum value of f(x,y) on the set R is 25, and the absolute minimum value is 0.

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Answer:

see photo attached for your reference.

Step-by-step explanation:

15.50 (to the nearest hundredth)

Answer:

The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

Answer:

158 feet below sea level

Step-by-step explanation:

110 + 48 = 158

So 158 was the seal's final depth below sea level

Answer:

Im pretty sure it would be C

Step-by-step explanation:

The location of R on the number line will be 15/7 so option (C) will be correct.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Distance from S to T = 3 + 9 = 12

So,

SR + RT = 12

And given,

SR/RT = 3/4 ⇒ SR = (3/4)RT

By substitution,

(3/4)RT + RT = 12

RT ( 7/4) = 12

RT = 48/7

Now the location of point R ⇒

OT - RT = 9 - 48/7 = 15/7

Hence "The location of R on the number line will be 15/7".

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The William can run 165/16 laps in 1 hour, which can be simplified as 10 5/16 laps in 1 hour.

William ran 2 3/4 laps around a track in 4/15 of an hour.

We can first convert the mixed number 2 3/4 to an improper fraction as: 2 3/4 = (2 × 4 + 3)/4 = 11/4

Now, let the number of laps William can run in 1 hour be x.

We can solve for x as follows: Distance covered in 4/15 hours = 2 3/4 laps

Distance covered in 1 hour = (x/1) laps

To compare the distances covered, we need to make the time intervals equal.

We can multiply the number of laps in 1 hour by (4/15)/(1/1) as follows: 2 3/4 laps = (11/4) laps in 4/15 hour(x/1) laps = x laps in 1 hour

We can equate the two distances covered as follows: (11/4) laps in 4/15 hour = x laps in 1 hour(11/4) × (15/4) = x11 × 15/16 = x165/16 = x

Therefore, William can run 165/16 laps in 1 hour, which can be simplified as 10 5/16 laps in 1 hour.

William can run 165/16 laps in 1 hour.

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Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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The mass of the second box is 4.00 kg.

We can use conservation of momentum to solve this problem. The total momentum before the collision is:

P_before = m₁ × v₁ + m₂ × v₂

where m₁ and v₁ are the mass and velocity of the first box, and m₂ and v₂ are the mass and velocity of the second box. Since the first box is moving west and the second box is moving east, we need to use opposite signs for their velocities:

P_before = 3.00 kg × (-2.00 m/s) + m₂ × 1.50 m/s

Simplify this equation, we get:

P_before = -6.00 kg m/s + 1.50 m/s × m₂

After the collision, both boxes come to a stop, so their final velocities are zero. The total momentum after the collision is therefore:

P_after = 0

By conservation of momentum, the total momentum before the collision must equal the total momentum after the collision:

P_before = P_after

-6.00 kg m/s + 1.50 m/s × m₂ = 0

Solving for m₂, we get:

m₂ = 4.00 kg

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The variance for the given data on Apple's stock returns over the last five years is 267.47.

Variance is a statistical measure that quantifies the dispersion or spread of a dataset. To calculate the variance, we need to find the average of the squared differences between each data point and the mean of the dataset. Here, we have the following stock returns for Apple over the last five years: 37.7%, -4.6%, 10%, 46.1%, and -66%.

First, we find the mean by summing up all the returns and dividing by the total number of returns (5 in this case). The mean is (37.7 - 4.6 + 10 + 46.1 - 66) / 5 = 4.44%.

Next, we calculate the squared differences between each return and the mean: (37.7 - 4.44)^2, (-4.6 - 4.44)^2, (10 - 4.44)^2, (46.1 - 4.44)^2, and (-66 - 4.44)^2.

Summing up these squared differences and dividing by the total number of returns, we get the variance: (1340.07 + 166.41 + 26.92 + 1694.61 + 7264.72) / 5 = 1,337.34 / 5 = 267.468.

Rounding this value to two decimal places, the variance for the given data is 267.47.

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Answer:

1

Step-by-step explanation:

Just try some numbers

2-1*2+1=1

5-1*5+1=1

Then you see that because of order of operations you always have to do x*1 first and then x-x which always ends up being 0 and then you +1 and 0+1 is always 1 so there's your answer.

The slope-intercept form is:

y = mx + b

Where

m is the slope

b is the y-intercept

Given Slope = 1/2, we can write:

Now, to find b, we put the point given (-7, -8), so:

Thus, we have the final equation as:

Answer:

Step-by-step explanation:

B

Answer: B

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i guessed

Answer:

the one going this way -------------------------- not up and down

Step-by-step explanation:

Answer:

Step-by-step explanation:

the one on the right

I think it would be the red line its going to be Negative

around 0 to 2

Answer:

-5/8

Step-by-step explanation:

(2,4) (-6.9)

m= y2-y1/x2-x1

= 9-4/-6-2

=5/-8

=-5/8

U.S. Public Law 480 is NOT a government policy to improve the financial position of U.S. farmers. So, the correct answer is A.

U.S. Public Law 480 is a legislative act enacted by Congress in 1954 to promote the foreign-policy interests of the United States by combating hunger and malnutrition in the developing world.

PL 480 governs the donations and sales of U.S. agricultural commodities, as well as the funding of food assistance programs, such as the Food for Peace program, which provided food aid to countries in need.

However, U.S. Public Law 480 is a government policy to improve the financial position of U.S. farmers which makes option A the correct answer.

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Answer:

$126.33

Step-by-step explanation:

$379/3 = $126.33

Answer:

Step-by-step explanation:

35

Answer:

Use the ABS function to find the absolute value of a number. The absolute value of a non-negative number (a positive number, or zero), is the same number. For example, the absolute value of 4 is 4.

Step-by-step explanation:

Explanation: The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6

The Euler's Formula is given to be:

where F is the number of faces, V is the number of vertices, and E is the number of edges.

From the question, we have the following parameters:

Therefore, the number of faces can be calculated as shown below:

The polyhedron has 12 faces.

Answer:

The answer is in the attached screenshot

the Y intercept is 9

the slop is 5/3

hope this helps.

Step-by-step explanation:

May I have brainliest please? :)

Answer:jdjej

Step-by-step explanation: so u can give him brainliest

Answer:

22.094

Step-by-step explanation:

Answer:

a. 0.6975

b. 0.25

c. The events are independent and inclusive

Step-by-step explanation:

a. The proportion of five-star football recruits in the nation that go to universities in the three most competitive athletic conferences = 75%

Therefore, the probability of a five-star football recruits chooses to go to a university in the three most competitive athletic conferences p(A) = 75% or 0.75

The proportion of the times five-star football recruits get full football scholarships = 93%

Therefore, the probability that a five-star football recruit get full football scholarships p(B) = 93% or 0.93

Therefore, the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship can be written as -the probability that a randomly selected five-star recruit who chooses one of the best three conferences and will be offered a full football scholarship is therefore;

p(A) ∩ p(B) = p(A) × p(B) = 0.75×0.93 = 0.6975

b. The probability that a randomly selected five star recruit will not select a university from one of the three best conferences = 1 - p(A) = 1 - 0.75 = 0.25

c. The events are independent as the given probability of occurrence of one event does not alter the probability of the other event

The events are inclusive events are exclusive events as P(A)and P(B) can take place simultaneously.

The total price of the jacket and shirt on Friday, before the sales tax=43.84 option c is correct.

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods.

Cost of the jacket before the discount = 36.95

Cost of the jacket after discount = 0.8 x 36.95 = 29.56

Cost of the shirt before the discount = 21.42

Cost of the shirt after discount = 2/ 3 x 21 .42 = 14. 28

The total price of the jacket and shirt on Friday, before the sales tax

= 29.56 + 14. 28

= 43.84

The complete question is-

On Monday, a jacket cost $36.95 and a shirt cost $21.42. On Friday the jacket was discounted by 20%, and the shirt was discounted by 1/3. What is the total price of the jacket and shirt on Friday, before sales tax?

A 14.28 B 29.56 C 43.84 D 43.91

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Considering the data from the boxplot the choice option is

Group A with a median value of 2 miles

The box plot for Group A has a smaller range from 1 to 3.5 miles compared to the box plot for Group C from 1 to 5 miles

Also the median value for Group A is 2 miles, the median value for Group C is 2.5 miles.

Additionally the line outside the box for

Group A ends at 5 miles

Group C ends at 11 miles

This indicates that there are more outliers with higher values in Group C.

Therefore we can conclude that Group A ran the least miles based on the data displayed.

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Answer:

no as the answer would be a decimal

Step-by-step explanation:

an easier way to know is to add up all the digits

3 + 9+0 +5+2= 19 and if that number is a multiple of 3 then it will be divisible by 3

this works for any number that should be divided by 3

example

is 2345 divisible by 3

2+3+4+5 =14 so no it is not divisible by 3

example

is 12345 divisible by 3

1+2+3+4+5 =15 so yes it is divisible by 3

hope this helps

pls can u help me with my most recent question pls and thx

Answer:

is the longest side in a triangle

Step-by-step explanation:

is the longest side in a triangle

Answer:

It is the longest side of a right triangle.

Step-by-step explanation:

A right triangle has two legs, then the (i call it a slope) hypotenuse connects the two from the top of one of leg to the end of the bottom leg.

you can calculate the hypotenuse via the Pythagorean theorem. which is A^2+B^2=C^2

Or: Leg 1^2+ Leg 2^2= Hypotenuse^2