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The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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The perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

Let's call the length of AB x and the length of BC y.

First, we can use the fact that CD is the height of the triangle to find the area of triangle ABC:

Area of triangle ABC = 1/2 * CD * AB

Substituting the given values, we have:

1/2 * 12 * x = 6x

So the area of triangle ABC is 6x square centimeters.

We can also use the fact that angle BCD is 30 degrees to set up a trigonometric equation involving x and y:

tan(30) = x/y

Simplifying, we get:

y = x/tan(30) = x/(1/√(3)) = √(3) * x

Now we can use the formula for the area of a triangle in terms of its sides:

Area of triangle ABC = 1/2 * AB * BC * sin(B)

where B is the angle between sides AB and BC. In this case, we know that angle BCD is 30 degrees, so angle BCA is 60 degrees, and angle ABC is 90 degrees. Therefore, we have:

Area of triangle ABC = 1/2 * x * √3 * x * sin(60)

Simplifying, we get:

Area of triangle ABC = 1/4 * √3 * x²

Since we already found that the area of triangle ABC is 6x square centimeters, we can set these two expressions equal to each other and solve for x:

6x = 1/4 * √(3) * x²

Multiplying both sides by 4/√3, we get:

24/√(3) * x = x²

Simplifying, we get:

x² - 24/√(3) * x = 0

Using the quadratic formula, we get:

x = (24/√(3) ± √((24/√(3))² - 410)) / 2*1

Simplifying, we get:

x = 16√(3) / 3 or x = 8 √(3) / 3

Since we are looking for the perimeter of triangle ABC, we need to find y as well. Using the equation we derived earlier, we have:

y = √(3) * x

Therefore, we have two possible triangles:

Triangle ABC1: AB = 16 √(3) / 3, BC = 16, and AC = 8 √7 / 3

Triangle ABC2: AB = 8 √3 / 3, BC = 8, and AC = 4 √7 / 3

The perimeter of each triangle is the sum of its side lengths. Therefore:

Perimeter of triangle ABC1 = 16 √3/ 3 + 16 + 8 √7 / 3 ≈ 27.98 cm

Perimeter of triangle ABC2 = 8 √3 / 3 + 8 + 4 √7 / 3 ≈ 14.66 cm

hence, the perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

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Answer:

- Response variable: The amount of vision the patients obtained after surgery.

- Explanatory variable: The type of detached retina surgery carried out.

Step-by-step explanation:

Response variable is the main focus of a question when carrying out a study or experiment. Whereas, an explanatory variable is the variable one that explains the changes in the response variable.

Now, in the question we are given it is clear that the main focus of the study is to determine if patients were able to regain vision.

Thus, the response variable is; the amount of vision the patients obtained after surgery.

Now, what determines if patients were able to regain vision is hinged on the 2 retina surgeries which are: laser surgery and freezing treatment.

Thus, the explanatory variable is; The type of detached retina surgery.

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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Answer:

Sequence is arithmetic

Common difference = 4

Step-by-step explanation:

All arithmetic sequences have a common difference, so if you can determine a common difference in a given sequence, then the sequence is likely to be arithmetic. To find the common difference, subtract a value from its preceding value, and repeat this step to ensure the difference between all values is the same:

5 - 1 = 9 - 5 = 13 - 9

4 = 4 = 4

The common difference = 4, and because there is a common difference, this sequence is arithmetic.

Answer:

11) 153, 85, 238 12) 12, 15, 27

Step-by-step explanation:

To find the area of these shapes, you have to cut them into two seperate shapes as shown the in the image: Shape 1 and Shape 2

11) Let Shape 1 be the rectangle: 17×9=153

let Shape 2 be the triangle: \(\frac{1}{2}\)×10×8.5=42.5×2=85

Total area: 153 + 85 = 238

12) Let cut this shape vertically where you'll have a rectangle thats 3 by 4 and a rectangle that's 5 by 3

Shape 1: 3×4=12

Shape 2: 5×3=15

Total area: 15 + 12 = 27

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

A single statement that declares and initializes an array named a that has 10 elements of type int. is as:

int [] denominations = {10,20,30,40,50,60,70,80,90,100};

We know that there are two ways you can declare and initialize as array in Java.

The first with the new keyword, where you have to initialize the values one by one.

The second is by putting he values in curly brackets.

An Array is a collection of data of the same type. Arrays are an important part of the fundamental data structures in Java.

An Array is usually declared so you can have multiple values in the same memory.

The syntax for declaring an array is: datatype[] arrayName;

Datatype means the type of objects that will be stored in the array ed. int, char,etc.

You can declare an array of arrays by following the array declarator with a list of bracketed constant expressions.

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Answer:

y = 3/2x + 2.5

Step-by-step explanation:

Use this formula to find the slope. y2-y2/x2-x1

Plug in

1-4/-1-1= -3/-2 = 3/2

So the slope is 3/2

To find the y-intercept use one of the points you were given. (1,4)

Plug in (1,4)

4 = 3/2(1) + b (b is the y-intercept)

4 = 3/2 + b (minus 3/2 on both sides)

2.5 = b or 5/2 = b

y = 3/2x + 2.5

Answer:

Option 4: \(3\frac{3}{18}\) is the correct answer.

Step-by-step explanation:

The given fractions are mixed fractions. the mixed fractions have to be converted into proper fractions before performing any operation like addition, subtraction etc.

Given fractions are:

\(5\frac{3}{6}-2\frac{1}{3}\)

Converting into proper fractions

\(=\frac{33}{6} - \frac{7}{3}\)

Making the denominator same

We have to multiply first fraction by 3 and second by 6

\(=\frac{33*3}{6*3} - \frac{7*6}{3*6}\\=\frac{99}{18}-\frac{42}{18}\\=\frac{99-42}{18}\\= \frac{57}{18}\)

Converting into mixed fraction: \(=3\frac{3}{18}\)

Hence,

Option 4: \(3\frac{3}{18}\) is the correct answer.

Answer:

3and3/18

Step-by-step explanation:

Based on the calculations, the surface area of this rectangular prism is equal to 49,408 square inches.

Given the following data:

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:

SA = 2(WH + LW + LH)

Where:

Conversion:

1 feet = 12 inches

114 feet = L inches

Cross-multiplying, we have:

L = 12 × 114

L = 1,368 inches.

Substituting the given parameters into the formula, we have;

SA = 2(8 × 10 + 1,368 × 8 + 1,368 × 10)

SA = 2(80 + 10,944 + 13,680)

SA = 2(24,704)

SA = 49,408 square inches.

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The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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Step-by-step explanation:

Let's start by using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume of the cylinder, r is the radius of the cylinder, h is the height of the cylinder, and π is a mathematical constant (approximately equal to 3.14).

Since we are dealing with a drain pipe, we can assume that the height of the cylinder is fixed and does not change. Therefore, we can rewrite the formula as:

V = πr^2h = Ah

where A is the cross-sectional area of the cylinder.

Now, let's use the given information that the drain pipe can carry 36 litres per second. We know that the volume of water that passes through the pipe in one second is equal to 36 litres. We can therefore write:

36 = Ahv

where v is the velocity of the water flowing through the pipe. Since we are assuming that the height of the cylinder is fixed, we can simplify this equation to:

36 = Av

Now we need to determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second. Let's call the new diameter d2 and the old diameter d1. We can set up a proportion to solve for d2:

A1/A2 = d1^2/d2^2

We know that A1 and A2 are proportional to the volumes of water the pipe can carry, so we can write:

A1/A2 = 36/60

Simplifying this equation, we get:

A1/A2 = 3/5

Substituting in the formula for the cross-sectional area of a cylinder, we get:

πd1^2/4 / πd2^2/4 = 3/5

Simplifying further, we get:

d1^2/d2^2 = 3/5

Taking the square root of both sides, we get:

d1/d2 = sqrt(3/5)

Now we can solve for d2:

d2 = d1 / sqrt(3/5)

We want to know the percentage increase in the diameter, which we can find using the formula:

% Increase = (New Value - Old Value) / Old Value x 100%

Substituting in our values, we get:

% Increase = (d1 / sqrt(3/5) - d1) / d1 x 100%

Simplifying, we get:

% Increase = (1 / sqrt(3/5) - 1) x 100%

Using a calculator, we get:

% Increase ≈ 34.64%

Therefore, the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is approximately 34.64%.

Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

The ratio that is equivalent to the greatest fraction is B. 8:4.

A ratio is a relative size or value contained in another quantity.  It is computed as the quotient of the smaller and larger values.

Ratios are fractional values, which we can depict as fractions, decimals, or percentages.

Ratios are also depicted using the ratio symbol (:), describing the numerical relationship between two or more values or variables.

The sum of ratios = 8

5/8 = 0.625

The sum of ratios = 12

8/12 = 0.67

The sum of ratios = 9

2/9 = 0.22

The sum of ratios = 14

9/14 = 0.64

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Answer:

14

Step-by-step explanation:

because if you subract -17 it will become a postive 17 and 17-3 is 14

Hope this helps!

If you have anyother questions feel free to ask!

The equation of the circle is x² + y² - 2x - 10y + 22 = 0

Any locations on a plane that are a certain distance from a fixed point (referred to as the radius) are considered to be parts of a circle, which is a two-dimensional geometric shape (is called the center). Each point on the circle may be found at the same distance from the circle's centre.

The following is the equation for a circle with centre (h,k) and radius r:

r²=(x - h)² + (y - k)²

In this case, the center of the circle is (1,5) and the radius is 2. So, we may change these values in the equation:

(x - 1)² + (y - 5)² = 2²

Simplifying and expanding the equation, we get:

(x - 1)×(x - 1) + (y - 5)(y - 5) = 4

x² - 2x + 1 + y² - 10y + 25 = 4

x² + y² - 2x - 10y + 22 = 0

Therefore, the equation of the circle is:

x² + y² - 2x - 10y + 22 = 0

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Answer:

15/8 is the answer in fraction form (If you need it in decimal for comment below.)

Step-by-step explanation:

1/2x+3/2(x+1)-1/4=5

1/2x+3/2x+3/2-1/4=5

1/2x+3/2x+ 5/4 = 5

2x+6x+5=20

8x+5= 20

8x=20-5

8x=15

x= 15/8

Hope this helps.

Answer: I think the answer is thousands

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

first # = 70, 2 digits

second # = 1,000 times greater than 70  1,000 = 4 digits

4 + 2 = 6, 100,000 = 6 digits

Answer: A=48

Step-by-step explanation:

Pikuai answers~

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60  Players are left handed

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Hope this helped, have a great day~

The range of the data of temperatures remains the same at 48°

Given data ,

Let the data of temperatures be represented as A

Now , the value of A = { 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57 }

The range of the data R = highest value - lowest value

So , R = 105 - 57 = 48

So , the range is 48°

Now , when value of 80.4° is added to the data

R = highest value - lowest value

R = 48°

Hence , the range does not change

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To find the slope in a line. You need to choose two point in that line:

You have points coordinates: (x,y)

p1 : (2,5)

p2 : (6.7)

You draw two lines to form a right triangle with those two points and find the distance is y and the distance in x:

The slope is:

simplify:

Answer:

8 tables

Step-by-step explanation:

you need 8 tables because 62 divided by 8 is 7.75 but you cant leave .75 out so you have to round up to 8

Answer:

x=3, y=9

Step-by-step explanation:

Mulriplying the first equation by 2 yields -10x+2y=-12.

Subtracting the second equation from this gives -17x=-51, and thus x=3.

Substituting this back into the first equation gives -15+y=-6, and thus y=9.

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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