Answer:
The change in the total cost for each book printed is $10
The cost to get started is $1250
Step-by-step explanation:
In the linear equation y = m x + b, where
- m is the rate of change per unit
- b is the initial amount (value y at x = 0)
∵ y represents the total cost of publishing a book in dollars
∵ x represents the number of copies of the book printed
∵ y = 1250 + 10 x
- Compare it with the linear equation y = m x + b
∴ m = 10
∴ b = 1250
∵ m = Δy/Δx
- That means m is the change in the total cost per book
∴ The change in the total cost for each book printed is $10
∵ b is value y at x = 0
- That means b is the cost to get started before print any book)
∴ The cost to get started is $1250
The window that has the shape of a kite has the area of the glass as 648 centimetre squared.
<h3>What is area of a figure?</h3>
Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,
The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).
Therefore,
area of kite = ab / 2
where
- a and b are the length of the diagonal
Therefore,
a = 18 + 18 = 36 cm
b = 15 + 21 = 36 cm
area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²
learn more on area here:brainly.com/question/2494000
Answer:
24
Step-by-step explanation:
Factorial is applicable only for natural numbers and 0.
0! =1 trivially.
FOr other numbers, factorial is defined as 1x2x...n
For example 1! = 1
2! = 1x2 = 2
and so on.
i.e. n! = product of all natural numbers from 1 to n
= 1x2x....n
Using the above
we have n =4
Natural numbers from 1 to 4 are 1,2,3,4
Find the product of these 4 natural numbers to get 4!
4! = 1x2x3x4 = 24
The angles of a quadrilateral add to 360, so we can solve for x by adding the 4 angle measures together and setting it equal to 360:
90 + 140 + (x - 10) + (x - 20) = 360
Combine like terms:
230 + 2x - 30 = 360
200 + 2x = 360
200 - (200) + 2x = 360 - (200)
2x = 160
Divide both sides by 2:
2x/(2) = 160/(2)
x = 80
The answer of this question is 11.7