Answer:
1) Option 3
2) Option 1
3) Option 2
Step-by-step explanation:
To find : Match each number in scientific notation with the number written in standard form and in a step by step process.
Solution :
From scientific to standard we expand the power of 10.
1) 
Remove decimal and open the power,
Therefore, 
Match with Option 3.
2) 
Remove decimal and open the power,
Therefore, 
Match with Option 1.
3) 
Remove decimal and open the power,
Therefore, 
Match with Option 2.
The line Y = 1 is a horizontal line; its slope is zero.
A line perpendicular to Y = 1 is a vertical line.
Its slope is undefined.
(This does NOT mean that it's infinite, or anything else.
The slope of a vertical line is undefined. It doesn't have
a name or a symbol. It's nothing.)
Answer: See explanation
Step-by-step explanation:
The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:
First side = x
Second side = x + 10
Third side = x + 10 + 10 = x + 20
Forth side = x + 30
Fifty side = x + 40
Therefore,
x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500
5x + 100 = 500
5x = 500 - 100
5x = 400
x = 400/5
x = 80
Therefore, the lengths will be:
First side = x = 80cm
Second side = x + 10 = 80 + 10 = 90cm
Third side = x + 20 = 80 + 20 = 100cm
Forth side = x + 30 = 80 + 30 = 110cm
Fifty side = x + 40 = 80 + 40 = 120cm
Yes, they are independent event such that occurring the first event “choosing a sophomore” does not affect the probability of occurring the second event <span>“choosing someone who replied ‘Yes’”</span><span />
Answer:
x=5
Step-by-step explanation:
-5(-x - 1) + 4x – 1= 49
Distribute
5x +5 +4x -1 = 49
Combine like terms
9x +4 = 49
Subtract 4 from each side
9x+4-4 = 49-4
9x = 45
Divide by 9
9x/9 =45/9
x = 5
