suppose that lim (x, y)→(5, 2) f(x, y) = 7. what can you say about the value of f(5, 2)?

Answer:

11

Step-by-step explanation:

the answer is 11 because it is 33 away from both points making it the midpoint

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

The percentage of seventh and eighth graders, taken together, who participate in MATHCOUNTS is 3.6%

Percentage is the number of given quantity in hundred such quantities.

We know that there are 1.5 times as many eighth-graders as seventh-graders.

We know that the proportion of eighth-graders who participate in MATHCOUNTS is 6% and the proportion of seventh-graders is 3%.

Let's say that there are x seventh-graders at the school.

Then, there are 1.5x eighth-graders.

The total number of students at the school is:

x + 1.5x = 2.5x

There are 2.5x students at the school and the proportion of eighth-graders is 1.5x/2.5x = 3/5 of the total number of students,

while the proportion of seventh-graders is x/2.5x = 2/5 of the total number of students.

So, the proportion of all students at the school who participate in MATHCOUNTS is:

3/5 × 6% + 2/5 × 3% = 0.036 or 3.6%

Therefore, the percentage of seventh and eighth graders, taken together, who participate in MATHCOUNTS is 3.6%

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Answer:

8u - 20

Step-by-step explanation:

Answer:

20 %

The percentage reduction can be written as 80% of 250. 20 percent decrease (%↓) or reduction from 250 is 200.

Answer:

20% on k12 :)

Step-by-step explanation:

Step-by-step explanation:

3x+3=12

3x=12-3

3x=9

3÷3=1

9÷3=3

x=3.

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of coordinate used √101 units vertical  (2, 26) to (3, 36).

A coordinate system is a geometry technique that uses one or more values or coordinates to better be able to monitor points and any other topological entities on a range, such as Euclidean space. A point or object's coordinates on a double planes are a pair of numbers. The x and y values of a point on a 2D plane are two integers that identify its location. a collection of integers that represent exact coordinates Two numbers are normally included in the figure.

Here,

Given :

=> Distance from (2,26) to (3,36)

horizontal and vertical distance

=> ML vertical length

=> ML  = √(3-2)² + (36-26)²

=> ML = √1² + 10²

=> ML = √101

and

ML is the value of vertical distance = √101 units

Therefore , the solution of the given problem of coordinate used √101 units vertical  (2, 26) to (3, 36).

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Answer:

C

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

Answer:

(3,3)

Step-by-step explanation:

7x + 3y = 30

-2x + 3y= 3

Multiply the second equation by -1 and add together to eliminate y

7x + 3y = 30

2x - 3y= -3

---------------------

9x + 0y = 27

Divide by 9

9x/9 = 27/9

x = 3

Now find y

-2x+3y = 3

-2(3) +3y =3

-6 +3y = 3

Add 6 to each side

3y = 3+6

3y=9

Divide by 3

y = 3

Solving the system of equations fx(x, y) = 0 and fy(x, y) = 0 , we get values x = 6 and y = 2.

To find the values of x and y such that both fx(x, y) = 0 and fy(x, y) = 0 simultaneously, we need to compute the partial derivatives of f(x, y) with respect to x and y, and solve the resulting system of equations.

Taking the partial derivative of f(x, y) with respect to x, we get:

fx(x, y) = 2x + 3y - 18

Taking the partial derivative of f(x, y) with respect to y, we get:

fy(x, y) = 2y + 3x - 22

To find the values of x and y that satisfy both equations, we can set fx(x, y) = 0 and fy(x, y) = 0 simultaneously and solve for x and y.

Setting fx(x, y) = 0:

2x + 3y - 18 = 0 ...(Equation 1)

Setting fy(x, y) = 0:

2y + 3x - 22 = 0 ...(Equation 2)

Solving this system of equations

From Equation 1, we can isolate x in terms of y:

2x = 18 - 3y

x = 9 - (3/2)y ...(Equation 3)

Substituting Equation 3 into Equation 2:

2y + 3(9 - (3/2)y) - 22 = 0

Simplifying this equation, we get:

2y + 27 - (9/2)y - 22 = 0

(4/2)y - (9/2)y + 5 = 0

(-5/2)y + 5 = 0

(-5/2)y = -5

y = 2

Substituting the value of y into Equation 3:

x = 9 - (3/2)(2)

x = 9 - 3

x = 6

Therefore, the solution to the system of equations fx(x, y) = 0 and fy(x, y) = 0 is (x, y) = (6, 2).

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Answer:

360 bottles.

Step-by-step explanation:

the first step i would start off with is getting the number of bottles needed, which is the 12 games, times the 2 per game, which gives us 24 bottles. so if 24 bottles are needed for one player, we can figure out the total number of bottles needed by multiplying 24 bottles per player, by the 15 players and we get 360 bottles of water.

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a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

math tutoring

Step-by-step explanation:

Answer:

Tutor

take notes

and study

but mostly take notes

Total no. of balls in A= 23-18

                                  = 5

No. of balls in B= 5+7

                         = 12

No. of balls in C= 18 - 12

                          = 6

Answer:

just add

Step-by-step explanation:

96

We need to roll a die at least 3 times and a coin should be tossed at least 2 times.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given this, Becca repeatedly tosses a fair coin until she gets a head.

The probability of getting a head P(H) is = 1/2.

The probability of getting a number 3 or higher is,

P(3) + P(4) + P(5) + P(6).

= 1/6 + 1/6 + 1/6 + 1/6.

= 4/6.

= 2/3.

So, to get a number 3 or higher we need at least 3 rolls, and to get a head we need at least 2 tosses.

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In family dice game, if a player rolls five dice at a time, then  7776 outcomes can be possible in one roll.

When a single die is rolled, there are six possible outcomes: 1, 2, 3, 4, 5, or 6.

Since there are five dice being rolled in the family game, the total number of possible outcomes is simply the product of the number of outcomes for each die.

Each of the five dice being rolled has six possible outcomes. Each die is independent of the others, meaning that the outcome of one die does not affect the outcome of the others.

Therefore, to find the total number of possible outcomes for all five dice, we multiply the number of outcomes for each die, which gives

6 x 6 x 6 x 6 x 6 = 7776

So, there are 7776 possible outcomes in one roll of five dice in the family game.

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Ms. Ortiz has different options for arranging the sedans in her front lot depending on the number of sedans she has. With this information, she can decide on the best arrangement to meet her requirements of at least 2 rows and more than one sedan in each row.

Step 1: Determine the minimum number of sedans
Since there must be at least 2 rows and more than one sedan in each row, we need a minimum of 2 sedans per row, totaling 4 sedans.

Step 2: List possible arrangements
For each number of sedans, we'll list the possible arrangements that meet the conditions. We will only consider arrangements where the number of rows is a factor of the number of sedans.

- 4 sedans: 2 rows x 2 sedans/row
- 6 sedans: 2 rows x 3 sedans/row, 3 rows x 2 sedans/row
- 8 sedans: 2 rows x 4 sedans/row, 4 rows x 2 sedans/row
- 9 sedans: 3 rows x 3 sedans/row

Step 3: Count the number of arrangements
We will count the arrangements for each number of sedans and present them in a table.

Arranging Sedans Table:
- 4 sedans: 1 arrangement
- 6 sedans: 2 arrangements
- 8 sedans: 2 arrangements
- 9 sedans: 1 arrangement

So, Ms. Ortiz has different options for arranging the sedans in her front lot depending on the number of sedans she has. With this information, she can decide on the best arrangement to meet her requirements of at least 2 rows and more than one sedan in each row.

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The equations of the lines that are (a) tangent and (b) normal to the curve y = 2x³ at the point (1, 2) are:

y = 6x - 4 (tangent)y

= -1/6 x + 13/6 (normal)

Given, the curve y = 2x³.

Let's find the slope of the curve y = 2x³.

Using the Power Rule of differentiation,

dy/dx = 6x²

Now, let's find the slope of the tangent at point (1, 2) on the curve y = 2x³.

Substitute x = 1 in dy/dx

= 6x²

Therefore,

dy/dx at (1, 2) = 6(1)²

= 6

Hence, the slope of the tangent at (1, 2) is 6.The equation of the tangent line in point-slope form is y - y₁ = m(x - x₁).

Substituting the given values,

m = 6x₁

= 1y₁

= 2

Thus, the equation of the tangent line to the curve y = 2x³ at the point

(1, 2) is: y - 2 = 6(x - 1).

Simplifying, we get, y = 6x - 4.

To find the normal line, we need the slope.

As we know the tangent's slope is 6, the normal's slope is the negative reciprocal of 6.

Normal's slope = -1/6

Now we can use point-slope form to find the equation of the normal at

(1, 2).

y - y₁ = m(x - x₁)

Substituting the values of the point (1, 2) and

the slope -1/6,y - 2 = -1/6(x - 1)

Simplifying, we get,

y = -1/6 x + 13/6

Therefore, the equations of the lines that are (a) tangent and (b) normal to the curve y = 2x³ at the point (1, 2) are:

y = 6x - 4 (tangent)y

= -1/6 x + 13/6 (normal)

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The point  (-2,3) is not a solution of the graphed inequality

Given the graph and the point (-2, 3)

To find the solution of a graphed inequality, you need to follow these steps:

The point (-2, 3) falls in the unshaded region

Hence, it is not a solution

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Answer:

Yes it is i tried no and it was wrong

Step-by-step explanation:

Answer:

Less

Step-by-step explanation:

Think of it like this:

Four times of 0.36

0.36 + 0.36 + 0.36 + 0.36 = 1.44

So 4 × 0.36 is less than 4

Hope I helped your little sista :)

Answer:

its 12 feet

Step-by-step explanation:

The equation of the parabola will be y = - (x - 3)² + 9.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The graph shows the height y in feet of a flying insect x seconds after taking off from the ground.

Then the equation that represents the height of the insect as a function will be

From the diagram, the vertex of the parabola is at (3, 9). Then the equation of the parabola will be

y = a(x - 3)² + 9

The parabola is passing through the point (6, 0) will be

0 = a(6 - 3)² + 9

- 9 = 9a

a = -1

Then the equation of the parabola will be

y = - 1(x - 3)² + 9

y = - (x - 3)² + 9

The equation of the parabola will be y = - (x - 3)² + 9.

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The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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The probability it is neither a perfect square nor a perfect cube is 9/10.

According to the statement

we have given that the there are 1 to 150 numbers placed in a bag and we have to find that the probability it is neither a perfect square nor a perfect cube.

So, For this purpose, we know that the

Probability is the chance that a given event will occur.

So, From given data,

Perfect cubes and square from the 1 to 150 numbers is :

Perfect squares =(1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144)

Perfect Cubes = (1, 8, 27, 64, 125)

So, Perfect squares + Perfect cubes = 12 + 5  - 2 = 15

here we subtract 2 because two numbers are same in square and cube.

And

Now, the number which are neither a perfect square nor a perfect cube is:

150 - 15 = 135

These are the numbers which are neither Perfect square or Perfect cubes.

So, the probability that the number is a neither a perfect square nor a perfect cube = 135 / 150

Probability = 9 / 10.

So, The probability it is neither a perfect square nor a perfect cube is 9/10.

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The relative percent increase can be calculated dividing the absolute change in the population over the initial value.

The absolute increase is:

The relative percent increase is then given by:

Therefore, the absolute increase was 2,300, and the relative percent increase was 70.8%.

Answer:

C I believe

Step-by-step explanation: