The equivalent expression is 5^(4) * 3^(-10)
<h3>How to determine the equivalent expression?</h3>
The statement is given as:
five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power
Rewrite properly as:
(5^-2 * 3^5)^-2
Expand the expression by multiplying the exponents
So, we have:
5^(-2 -2) * 3^(5 *-2)
Evaluate the products
5^(4) * 3^(-10)
Hence, the equivalent expression is 5^(4) * 3^(-10)
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c = -8 which means whenever you see a c replace it with -8
d = 2 means the same for 2
and cd means c times d
so
cd + d
is
(-8)(2) + (2) =
-16 + 2 = -14
Answer:
The change in the car's distance is 8 feet
Step-by-step explanation:
* Lets explain how to solve the problem
- A car is driving away from a crosswalk
- The distance d (in feet) of the car from the crosswalk t seconds
since the car started moving is given by the formula d = t² + 3.5
- The time increasing from 1 second to 3 seconds
- We need to now the change of the car's distance from the crosswalk
∵ The equation of the distance is d = t² + 3.5
∵ The time is 1 second
∴ d = (1)² + 3.5
∴ d = 1 + 3.5 = 4.5 feet
∵ The time is 3 seconds
∴ d = (3)² + 3.5
∴ d = 9 + 3.5 = 12.5 feet
∵ The change of the distance = d of 3 sec - d of 1 sec
∵ d of 3 sec = 12.5 feet
∵ d of 1 sec = 4.5 feet
∴ The change of the distance = 12.5 - 4.5 = 8 feet
∴ The change in the car's distance is 8 feet
I believe the answer would be the second option
Assuming those two lines are the same length, it'd be b.