Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and 
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting 
in (i), we get
So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
Converse in discrete mathematics is switching the hypothesis and conclusion of a conditional statement.
So the correct answer will be that If a number is not divisible by two, then it is an odd number. Which is option D.
The math converse of a statement switches the if and then, resulting in a statement that may or may not be true so we have no guarantee that the preposition is true or not.
X is your number
double it means 2 times x or 2x
add 4
2x+4
subtract my number
2x+4-x=x+4
subtract 3
x+4-3=x+1
the result is x+1 or your number plus 1
Answer:
2340 m^2
Step-by-step explanation:
The area of kite = multiply the lengths of the two diagonals and divide by 2
The top left triangle:
Using Pythagorean theorem:
c^2 = a^2 + b^2
so
b^2 = c^2 - a^2
b^2 = 51^2 - 24^2
b^2 = 2601 - 576
b^2 = 2025
b = 45
Top right triangle:
Using Pythagorean theorem:
c^2 = a^2 + b^2
so
b^2 = c^2 - a^2
b^2 = 53^2 - 45^2
b^2 = 2809 - 2025
b^2 = 784
b = 28
so the two diagonals:
24 + 28 = 52 m and 45 + 45 = 90 m
Area of the kite:
A = 52 x 90 / 2
A = 2340 m^2
Answer:
I agree with your result
(1 + i)¹⁰ = 32i
Step-by-step explanation:
(1 + i)² = (1 + i)(1 + i) = 1 + 2i - 1 = 2i
(1 + i)⁴ = 2i(2i) = -4
(1 + i)⁸ = -4(-4) = 16
(1 + i)¹⁰ = (1 + i)⁸((1 + i)² = 16(2i) = 32i
