Answer:
-2/3
Step-by-step explanation:
Log125(1/25)=x
Raise each side to the base of 125
125^Log125(1/25)=125^x
1/25 = 125^x
Rewrite 25 as a power of 5 and 125 as a power of 5
1 / 5^2 = 5^3^x
The if power is in the denominator, we can bring it to the numerator by making it negative
5^-2 = 5^3^x
We know that a^b^c = a^(b*c)
5^-2 = 5^(3*x)
Since the bases are the same, the exponents are the same
-2 = 3x
Divide by 3
-2/3 = 3x/3
-2/3 =x
Answer:

Step-by-step explanation:
When dividing numbers with powers, it is handy to remember that

so

7g + 3g - 10 + 3 = 43
(first combine likes terms)
10g - 7 = 43
(then add 7 to both sides)
10g - 7 = 43
+7 +7
10g = 50
(then divide by 10 to get what g is equal to)
10g = 50
/10 /10
g = 5
<span>The correct answer is (a) total deviation equals unexplained deviation plus explained deviation.
These deviations are commonly encountered or studied in statistics, and sometimes in regression analysis.</span>
Answer:
.90(85.00) would give the same result
Step-by-step explanation:
Rhonda is using the total cost of the item ($85.00) multiplied by the discount (10%) to find the total discount: 85 x 0.10 = 8.50. Once Rhonda subtracts the discount ($8.50) from the total: $85 - $8.50 = $76.50. The other way to look at the problem, is that Rhonda is only paying for 90% of the total cost of the items, instead of 100% since she is receiving the 10% discount. So, she would get the same final total by multiplying the cost of the items ($85.00) by 90%, or 0.90.