You can use the properties of exponents in three ways: Products of Power and Power to Power
Explanation:
Product of a Power: When you multiply exponentials with the same base, you add their exponents
Power to a Power: When you have a power to a power, you multiply the exponents.
Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents.
Answer:
The actual stage is 42 feet long
Step-by-step explanation:
Step 1
Determine the conversion factor as shown;
1 inch in the drawing represents 3 feet in the actual drawing
To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).
Step 2
Convert 14 inches in the drawing to the actual measurement of the stage as follows;
Actual stage length=drawing length×conversion factor
where;
drawing length=14 inches
conversion factor=3
replacing;
Actual stage length=(14×3)=42 feet
The actual stage is 42 feet long
Answer:
The loan will be paid after 39 monthly installments.
Step-by-step explanation:
Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:
13900 - 13500 = 400
400 x 5 = 2000
2000 + 13500 = 15500
15500/400 = 38.75
Thus, the loan will be paid after 39 monthly installments.
2-10 = -8 I'm not sure what the 5,6,7,8,9,10 means if you tell me i might be able to help you
Answer:
Let d be the remaining distance.
Let t be the remaining time.
The standard distance equation is:
d = rt
We are given the rate as 2, so:
d = 2t
At the start of the walk, the remaining distance is 3 miles.
The remaining time is 1.5 hours.
At the end of the walk, the remaining distance is 0 miles.
The remaining time is 0 hours.
A graph of the distance and time would be a continuous, solid line. That's because the walker will be at every distance between 3 and 0 and every time between 1.5 and 0.
Answer:
The graph of this would be a solid line
