Find the length of segment JD

By using first principle, the value of Dy/Dx is,

⇒ Dy/Dx = - 7 / x²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = 7 / x

Now, Differentiate the function with respect to x, we get;

⇒ y = 7 / x

⇒ Dy/ Dx = D / Dx (7 / x)

                = 7 D/Dx (1/x)

                = 7 (- 1 × x⁻¹⁻¹ )

                = 7 (- x⁻²)

                = - 7 / x²

⇒ Dy/Dx = - 7 / x²

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Sorry for being late but the answer is B

Answer:

B

Step-by-step explanation: e d g 20 22

The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).

Given:

The Beaufort Scale measures the intensity of tornadoes. For a tornado

with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to

estimate the tornado's wind speed in miles per hour.

We have to estimate the wind speed of a tornado with Beaufort number 9.

Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]

⇒

[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]

Hence, the the wind speed of a tornado with Beaufort number 9 is

51.3 miles per hour.

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Answer:

A, D

Step-by-step explanation:

Answer: 200inches³

Step-by-step explanation:

The volume of a sphere can be gotten by using the formula:

V = 4/3 πr³

where,

π = 3.142

r = radius = 3.63 inches

Volume = 4/3πr³

= 4/3 × 3.142 × 3.63³

= 4/3 × 3.142 × 47.832147

= 200.38481

= 200inches³

Answer: Kayden needs 12 more meters of railing.

Step-by-step explanation:

To find the perimeter of the roof garden I added up all the numbers you listed (12m+3m+7m+10m+20m+10m) to get a total perimeter of 62 meters.

Since Kayden already has 50 meters of railing we can subtract that from the total he needs to get the remaining amount needed.

62m - 50m = 12 meters of railing remaining.

Answer:

65%

Step-by-step explanation:

39/60 X 100

(39 being the number of movies he rated very good, divided by the total number of movies he watched which is 60)

Answer:

400

Step-by-step explanation:

The most accurate estimate among the given options is d) 400.

Given that we need to estimate the product of 38 x 9,

To find the product of 38 and 9, you can simply multiply the two numbers together:

38 x 9 = 342

Therefore, the actual product of 38 and 9 is 342.

Now, let's estimate the product using the given options:

a) 30: This is too low of an estimate. 38 is larger than 30, so the product should be greater than 30.

b) 50: This is also too low of an estimate. 38 multiplied by 9 is significantly larger than 50.

c) 120: This estimate is closer to the actual product, but still not accurate. 120 is smaller than the actual product of 342.

d) 400: This is a close estimate. 38 multiplied by 9 is close to 400.

In summary, the most accurate estimate among the given options is d) 400.

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Answer:

Rate of change = -5/6 & Initial value = 5

Step-by-step explanation:

Rate of change = rise/run = -5/6

Initial value = y -intercept = 6

There are five different types of Time complexity analysis:

The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.

As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.

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Answer:

15393.8cm sorry if im wrong

By using formula and solving we get the item is on sale for $76.

What is selling price?

The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.

The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.

Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.

The formula is: Selling price = Cost + (Cost x Markup percentage)

If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:

Sale price = Original price x (1 - Discount percentage)

In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:

Sale price = $95 x (1 - 0.2)

To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8

Sale price = $95 x 0.8

Sale price = $76

So, the item is on sale for $76.

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Answer:

a = 28, b = 12, c = 9

Step-by-step explanation:

The ratio of corresponding sides between the triangles is 4 to 7, or 4/7 (comparing small triangle to the large one).

Set up proportions.

[tex]\frac{16}{a}=\frac{4}{7}\\\\4a=112\\\\a=28[/tex]

Next, find b.

[tex]\frac{b}{21}=\frac{4}{7}\\\\7b=84\\\\b=12[/tex]

Finally,

[tex]c=21-b=21-12=9[/tex]

Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R  and k ∈ R.

As given in the question,

Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.

Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.

It can be translated in four ways :

Translation to the right is written as ( x + h , y )

Translation to the left is ( x - h, y)

Translation in the up is ( x, y + k )

Translation in the down is ( x , y - k ).

Therefore, the original coordinate ( x ,y )  after translation written as

( x + h , y + k ) where h ∈ R  and k ∈ R.

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Answer:

27

Step-by-step explanation:

12/4 = 3

3 x 9 = 27

Answer:

6x + 25

Step-by-step explanation:

6(x + 4) + 1

6x + 24 + 1

6x + 25

Answer:

6x + 25

Step-by-step explanation:

Multiply each x and 4 (inside parentheses) by 6, and then add 1 to the resulting sum:

6x + 24 + 1

Combining like terms, we get:

6x + 25

Answer:

y > 13

Step-by-step explanation:

Inequality graph:

Answer:

y>13

Step-by-step explanation:

5<y-8

5+8<(y-8)+8

13< y-8+8

13<y

y>13

Answer:

a) C = 31.42

b) A = 78.55

Step-by-step explanation:

C = (2)(pi)(r), pi = 3.142 and r = 5

C = (2)(3.142)(5)

C = 31.42

A = (pi)(r)^2, pi = 3.142 and r = 5

A = (3.142)(5)(5)

A = 78.55

The width of the picture frame with the given area would be = 3.9in

A frame is a structure that can be a rectangle or a square shape which is used to display a picture.

The area of the frame = 60in²

The width of the frame = x

The height of the frame = 4x

The area of a rectangle = length×width

That is ; 60 = X × 4x

60 = 4x²

make X the subject of formula;

X = √60/4

X = √15

X = 3.9 in.

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Answer:

120

Step-by-step explanation:

The GCF of the given expressions is 4x⁷⁶

The greatest common factor, abbreviated as GCF, of two numbers is the largest number that is a factor of, or divides evenly into, both of the numbers. When two numbers are relatively small, we have a quick and simple way to calculate their greatest common factor. We do this by listing all of the factors of each number, and then identifying the largest number that is in both lists.

Given here, The expressions 20x⁷⁶ and 8x⁹² and GCF(20,8)=4

and x⁷⁶ is a factor of  8x⁹²

∴ GCF(20x⁷⁶ , 8x⁹²) =4x⁷⁶

Hence, The GCF of the given expressions is 4x⁷⁶

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Simplifying

0.75x + 1.2 = 0

Reorder the terms:

1.2 + 0.75x = 0

Solving

1.2 + 0.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.2' to each side of the equation.

1.2 + -1.2 + 0.75x = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0

0.0 + 0.75x = 0 + -1.2

0.75x = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2

0.75x = -1.2

Divide each side by '0.75'.

x = -1.6

Answer:

5:30 is the difference between the clocks

Answer:

Option D is correct

Step-by-step explanation:

From the question, we have:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 2: G, Y[/tex]

[tex]Sack\ 3: S, R[/tex]

Required

The tree diagram

The selection process is as follows:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)[/tex] -- i.e. we write sack 2 as a subset of 1

[tex]Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))[/tex] -- i.e. we write sack 3 as a subset of 2

The only tree diagram that illustrates this is: option D

Answer:

What is equal to 1,024

Step-by-step explanation:

Answer:

c) m <2 =m <3

Step-by-step explanation:

since the angles 2 and 3 are equal then they should be alternate angles

then c and d are parallel lines

Answer:

5/14

Step-by-step explanation:

A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor

Scale factor is calculated as:

Scale drawing/Street sign

= 5 inches/14 inches

= 5/14

Therefore, the scale factor 5/14