Answer:
b Superscript positive
Step-by-step explanation:
Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.
We have
1/b⁻² = b²
Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.
This is the property of exponents.
The answer is C, Region A.
Answer:
48 times
Step-by-step explanation:
From the above question, we know that:
2 times = 1 kg of fertilizer
A crop requires 24 kg of fertilizer
Hence:
1 kg of fertilizer = 2 times
24 kg of fertilizer = x
Cross Multiply
x = 24 kg × 2 times/1 kg
x = 48 times
She need to fill the flask 48 times to make the required amount of fertilizer for the crop
Answer:
(b) 1
Step-by-step explanation:
To differentiate 
we will need the product rule:
.
We have 
, so the following equation is true by the transitive property:
By subtraction property we have:
Since 
, then we can divide both sides by 
:
This implies 
is constant.
So we have that 
where 
is a real number.
Since 
and 
, then by transitive property 
.
So 
.
Checking:
So the following conditions were met.
Answer:
$3,153.32
Step-by-step explanation:
Given that
The deposited amount is $3,000
The annual interest rate is 1.25%
So, the semi-annual interest rate is 1.25% ÷2 = 0.625%
And, the time period = 4 × 2 = 8
We need to find out the final balance
So,
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= $3,000 × (1 + 0.625%)^8
= $3,153.32
