Step-by-step explanation:
a) 1.16× 10^-6
standard form should be less than 10. therefore, count decimal places from where the decimal point is located to the right until you reach a number less than 10 ....count the number of shifts in the above is 6 shifts to the right. when moving to the right, power will be negative.(-6)
1.157/1.16 ×10^-6
b) 6.79 × 10^10
67890000000....count till a number less than 10.there will be 10 shifts to the left. the 10 will be your power,(positive) since u r moving to the left exponent is positive
6.789/6.79 × 10^10
Answer:
A) Area = 
B) Domain = {x < 24}
Step-by-step explanation:
<u>Complete Question:</u>
A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
A) express the area of the play space as a function of x
B) find the domain of the function
Solution:
A)
The rectangle has area of length * width
length is x
so width will be 24 - x
Hence, the area will be:
Area = x(24 - x)
Area = 
B)
Domain is the set of x values that make the function defined.
The domain will be all values less than 24.
Because if you take 24, the area would be 0 [doesn't make sense]
if you take anything over 24, the area would be negative [not possible]
Hence, the domain is:
Domain = {x < 24}
Answer:
Mr.Lin's present age is 30 years now. His son is 8 years old now.
Step-by-step explanation:
Let L = Mr.Lin's present age,
S = his son's present age.
First equation is
L + S = 38. (1)
The second equation is
L + 3 = 3*(S+3) (2) ("In three years' time, Mr.Lin will be three times as old as his son.")
From (1), express S = 38-L and substitute it into (2). You will get
L + 3 = 3*((38-L)+3), or
L + 3 = 114 - 3L + 9,
4L = 114 + 9 - 3,
4L = 120,
L = 30.
Answer:

Step-by-step explanation:
A square is a <u>shape that which all sides are equal</u>
<em>14 is one side of the square and to find the area of a square/rectangle, you do </em><u><em>length*width </em></u>
14*14=196