Answer:
The solution to the given expression is 1/2562890625
Step-by-step explanation:
(3⁴ × 5⁴)⁻²
Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.
(15⁴)⁻²
Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.
15⁻⁸
Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.
1 / 15⁻⁸
Now, we simplify the term on the bottom.
1 / 2562890625
So, this is the solution to the problem.
Rate of change is -2 because you can do rise over run to find the constant rate of change, and since you are going down you have a negative slope.
Maybe from the equation of a line from y=mx+c
Where c ( intercept) is -12
Answer:
Darius needs
cups of bread cubes to make four batches of stuffing for a family reunion.
Step-by-step explanation:
Given:
bread cubes to make a batch of stuffing = 6 2/3 cup
To Find:
Number of cups of bread cubes needed to make four batches of stuffing for a family reunion = ?
Solution:
According to the question, to make one batch of stuffing Darius needs
cups of bread cubes
So if he wants to make four batched, then the number of cups of bread cubes will be four times as needed for making one batch
Then
Number of cups of bread cubes needed to make four batches = 4 x bread cubes needed to make a batch of stuffing
Number of cups of bread cubes needed to make four batches
= 
=>
=> 
=>
=>
Y=3x+40
y=8x+20
when they are the same
3x+40=8x+20
x=4
so at 4 sessions they will be the same but the one that charges 8 per class will become more costly