The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse. which is an equivalent equation solved for y? y = a · πx y = a (πx) y = a " πx y = a ÷ (πx)

Based on the information, we can infer that the correct option is A, since all the conditions are true based on the information in the table.

To identify the conditions that are true in real life we must take into account each of them and contrast it with the reality of the difference between a monopoly and a competitive system. In this case we can infer that the true conditions compared to reality are:

Learn more about monopoly in: https://brainly.com/question/33076874

#SPJ1

Answer: 816

Step-by-step explanation:

h(3) = 1248 - 160(3) + 16(3)

h(3)= 1248 - 480 + 48

h(3)= 816

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

Learn more about quadratic equation here

https://brainly.com/question/30098550

#SPJ4

The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

About maximum height here:

https://brainly.com/question/29081143

#SPJ11

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

To know more about quantitative discrete refer here:

https://brainly.com/question/32236127#

#SPJ11

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

Answer:

wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

Answer:

2.80$

Step-by-step explanation:

56 times 5

Answer:

a,b,coeiiggjfj

jrjjunr

Answer:

12 = 3 + 1 1/2x

Number of batches of cookies = 6

Step-by-step explanation:

Total cups of flour = 12 cups

Flour needed for bread = 3 cups

Flour needed for each batch of cookies = 1 1/2 cups

Number of batches of cookies = x

12 = 3 + 1 1/2x

12 - 3 = 1 1/2x

9 = 3/2x

x = 9 ÷ 3/2

= 9 × 2/3

= 18/3

x = 6

Number of batches of cookies = 6

The required mST-mRQ in the given circle is evaluated as 96°. Option D is correct.

From the figure,

Following the property of angle subtended by the chords,

mRQ = 2*(90 - ∠s)

mRQ = 2*(90 - 71)
mRQ = 38°

Again,  Following the property of angle subtended by the chords,

mST= 2(90-mRS/2)

mST=2(90-23)

mST=134°

Now according to the question,

mST-mRQ=134-38=96°

Thus, the required mST-mRQ is evaluated as 96°. Option D is correct.

Learn more about circles and chords here:

https://brainly.com/question/30283669

#SPJ1

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

Learn more about cube;

brainly.com/question/15420947

#SPJ4

Since the above question which looks at a linear relationship is incomplete, we are looking at a very similar question that has the same logic and principles. In this case, after 3 minutes, the pool now has 84 gallons of water. See the explanation below.

Note that we are already given a linear equation y = 28x. This means that

We know that the equation that models the relationship between time and volume is y = 28x, where y is the volume of water in gallons and x is the time in minutes.

We are given that when the pool has 84 gallons of water, y = 84. We can plug this into the equation and solve for x:

y = 28x

84 = 28x

x = 84/28

x = 3

Therefore, it takes 3 minutes to fill the pool with 84 gallons of water.


From the picture given, one can infer that the linear equation will be y = 25x. Thus, if the expression given is y=25x,

where y is the volume of water in gallons and

x is the time in minutes,

we can follow the same steps as before to find out how many minutes it would take to fill the pool with 84 gallons of water:

y = 25x

84 = 25x

x = 84/25

The result is x = 3.36 minutes (rounded to two decimal places).

Therefore, it would take approximately 3.36 minutes to fill the pool with 84 gallons of water if the equation that models the relationship between time and volume is y=25x.

Learn more about Linear relationships at:

https://brainly.com/question/26430298

#SPJ1

Full Question:

The question above is incomplete. Thus, let us look at a very similar question.

Laura is throwing a pool party to kick off the summer. Her pool is empty,

so she starts filling it with water from a garden hose. There is a proportional relationship between the time Laura has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y.

The equation that models this relationship is y = 28x.

After how many minutes does the pool have 84 gallons of water in it? Write your answer as a whole number or decimal.

Answer:

x=3.3333333333333333333333333333333

The average of the group is 39.

What is average?

A value that represents the average or usual value in a set of data, such as the mode, median, or mean, which is determined by dividing the total number of items in the set by their sum.

Here, we have

In four observations in this group, the values are 40, 45, 38, and 33.

To find their average we add all values, and we get

= (40 + 45 + 38 + 33)/4

= 156/4

= 39

Hence, the average of the group is 39.

To learn more about the average from the given link

https://brainly.com/question/21151502

#SPJ4

Answer:

721.64

Step-by-step explanation:

32.7*26.3=860.01

13.7*10.1=138.37

860.01-138.37=721.64

721.64 mi^2

Step-by-step explanation:

Area of the large rectangle A2 is

A2 = (32.7 mi)(26.3 mi) = 860.01 mi^2

Area of the small rectangle A1 is

A1 = (10.1 mi)(13.7 mi) = 138.37 mi^2

Therefore, the area of the shaded region is simply the difference between A2 and A1:

Area (shaded) = A2 - A1

= 860.01 mi^2 - 138.37 mi^2

= 721.64 mi^2

Step-by-step explanation:

x -7 = 13

+7 +7

x = 20

hope this helps

Answer:

X=6 and y=-7

Step-by-step explanation:

Answer:

i think ur in a higher grade then me but im good w/ equations so OoOO0p

Step-by-step explanation:

equation: y = x - 6 + x^2

(6,0) (7,1) (8,4) (9,9)

I figured this out by looking at the point (6,0). To get 0 (y), you have to subtract 6. Knowing this, I subtracted 6 from the rest of the coordinates, leaving me with numbers that are able to be squared to get y. This led me to the equation x - 6 + x^2.

Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79

P = 62.4%

The sample proportion p = 58.1% of 400 = 232.4

This implies that 232  person of 400 headache sufferes obtain relief with just two asprins

n = 400

np = 400 x 62.4% = 249.6

n(1 - p) = 400 x (1 - 62.4%) = 150.4

The sample proportion p is assumed to follow a normal distribution.

The mean of the sample proportion μ' = p = 0.624

The standard error of the sample proportion

σ'  \(\sqrt{\frac{p(1 - p)}{n} }\\ \sqrt{\frac{0.624(1 - 0.624)}{400} }\\\\= 0.0240\\\)

Standardize 0.581 to a Z score

P(p'< 0.581) = P(Z>(0.581-0.624)/0.024) = -1.791

Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79

To learn more about Z-score refer here

https://brainly.com/question/25638875

#SPJ4

The average hourly change in tub fullness is ₋1/13.

Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.

After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.

the average hourly change in tub fullness = ?

subtract the initial quantity from the quantity left after 6 1/2 hours.

⇒ 2/3 ₋ 1/6

= 1/2

Divide the quantity by 6 1/2 hours.

time is represented in improper fraction, convert it into proper fraction.

6 1/2  = 12 ₊ 1/2

= 13/2

⇒ 1/2 ÷ 13/2

= 1/13

the statement says the quantity decreases,

so ₋1/13

therefore the average hourly change in tub fullness is ₋1/13

Learn more about fractions here:

brainly.com/question/11562149

#SPJ9

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

~ an aesthetics lover

Answer:

6 students choose time to change classes

Answer:

6 students

Step-by-step explanation:

you 12% of 50 students chose time to change classes. you would convert the percent into a decimal do 12% would be 0.12 then multiply that b by 50. 0.12 × 50= 6

Answer:

5

Step-by-step explanation:

14x - 8x = 30

5x = 30

x = 6

..........

Answer:

solution

14x=8x+30

collect like terms

30=8x-14x

30= -6x

divide by -6x

30/-6 = -6x/-6

X= –5

36 cm²s⁻¹ is the rate at which the area of the square is increasing.

Given each side of the square is increasing at a rate of 6cm/s

Area, A = s², s is the side length

=> \(\frac{dA}{dt} =\frac{dA}{ds}* \frac{ds}{dt} =2s*(\frac{ds}{dt} )\) {chain rule of differentiation}

\(\frac{ds}{dt}\) = 6 cm/s

When A = 9 cm² => 9 = s²

=> s = √(9) => s = 3 cm

Hence, \(\frac{dA}{dt}\) = 2 × 3 × 6 = 36 cm²s⁻¹

Hence, 36 cm²s⁻¹ is the rate at which the area of the square increases

Learn more about differentiation here https://brainly.com/question/3083587

#SPJ4

25x -15y -40z +45 =0 is the equation of the plane that passes through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1).

Let the given points be P(2 , 1 , 2) ,Q(3 , -8 , 6) and R(-2 , -3 ,1)

PQ = (3-2 , -8-1, 6-2)

     =(1 , -9, 4)

PR = (-2 -2,-3-1 ,1-2)

     =( -4 ,-4 ,-1 )

→PQ * →PR = \(\left[\begin{array}{ccc}i&j&k\\1&-9&4\\-4&-4&-1\end{array}\right]\)

             =(9+16)i + (-16+1)j + (-4 -36)k

              =  25i - 15j - 40k

Therefore , the normal vector to the plane is

→n = (25 , -15 ,-40)

Since , the plane passes through all the three points we can choose any point to find its equation .So,the equation of the plane through the point P(2,1,2) with normal vector

→n = (25,-15,-40) is

25(x-2) - 15(y-1) -40(z-2) =0

⇒25x - 50 -15y + 15-40z+80=0

⇒25x -15y -40z +45 =0

For such more questions on Vector :

brainly.com/question/29740341

#SPJ4

Mrs. Cruz needs 2 bags of fertilizer for a quadrilateral vegetable garden that is enclosed by the x and y- axes, and equations y = 10 - x and y = x + 2.

The vertices of the quadrilateral are the points where the lines intersect. You could see the image attached below.

So the vertices of the quadrilateral are (0,0), (4,6), (10,0), and (0,2).

Next, to find the area of a polygon we can use determinants:

(0, 0)

(10, 0)

(4, 6)

(0, 2)

we solve the determinant

area= \(\frac{1}{2}\) (0 + 60 + 8) - (0 + 0 + 0)

area = 68/2

area = 34 units²

Finally, if one bag of fertilizer can cover 17 square meters, then to cover an area of 34 m² you would need:

34 m² × (1 bag/17 m²) = 2 bags of fertilizer.

learn more about determinants

https://brainly.com/question/15297451

#SPJ11

Using the graph attached, If g(x) = 2f(x-1), the graph of the function will be:  g(x) = x - 7.

Using the graph, the function is:

f(x-1) =1/2 (x-1) - 3

f(x-1) = 1/2x - 1/2 - 3/1

f(x-1) = 1/2x - 7/2

So:

g(x) = 2f(x-1)

g(x) = 2 (1/2x - 7/2)

g(x) = x - 7

Therefore,:

At  x = 0,  y = -7

y = 0, x = -7

Thus, Using the graph attached, If g(x) = 2f(x-1), the graph of the function will be:  g(x) = x - 7.

Learn more about graph function from

https://brainly.com/question/4025726

#SPJ1

Got it right on Plato/Edmentum UωU <3

Based on the definition of congruent triangles, we can state that: C. They are not congruent because only one pair of corresponding sides is congruent.

Congruent triangles refer to a pair of triangles that possess identical shape and size. If two triangles are congruent, it implies that their corresponding sides and angles are precisely equal.

The image that is attached below shows the diagram of triangles FGH and FJH. We see that only one pair of sides are congruent (FH = FH).

This is not enough to conclude that both triangles are congruent. Therefore, we can conclude that:

C. They are not congruent because only one pair of corresponding sides is congruent.

Learn more about congruent triangles on:

https://brainly.com/question/2938476

#SPJ1