Answer:
Technically, it depends on which school you attend, which state, city, or area you live in, and if you have an honor-based program or just the basic class. Although, in the basic level of 8th grade, you will learn measurements, a bit of geometry, algebra, and probability.
Hope this helps and good luck!
Answer:
rate of change
Step-by-step explanation:
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
Answer:
A
Step-by-step explanation:
clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.
and so we also see, that the function calculates the % of the remaining carbon-14.
so, we need the desired outcome 60(%),
because 60 = 100 - 40.
and again, we need a function that shows t=0.
the only answer option fulfilling both criteria is A.
B divides in the exponent by t, so t=0 is not in the domain of the function.
and C and D aim for the wrong remaining percentage.
Answer: 112 oz
First we have to work with the same units. According to the International System of Units (SI), the Liter (L) is the unit of measurement for liquids, however, we are going to use the ounce (oz) in this case, as it is the unit of measure of the juice that Katie's baby sister drinks.
In addition:
(1)
(2)
(3)
Knowing this, we can calculate how much of apple juice is left for the baby after Katie drank a portion.
In order to do this, we have to substract the amount of juice Katie drank (
) to the total amount of juice in the full gallon (
):
This means that there are 
left for Katie’s baby sister.
In addition, taking into account the baby drinks 
each day, the left are equivalent to approximately 28 days.
