Answer:
The volume each of the four barrels of the same size will be at least 47.5 liters.
Step-by-step explanation:
Let the volume of each of the four barrels is v liters.
Now, the amount of water that can be held in the fifth barrel is 10 liters. The total capacity of holding water for the 5 barrels combines is at least 200 liters.
So, from the above-given information, we can write the inequality to determine the volume of each of the four barrels will be
10 + 4v ≥ 200
Solving this we get,
4v ≥ 190
⇒ v ≥ 47.5
Therefore, the volume each of the four barrels of the same size will be at least 47.5 liters. (Answer)
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Question 1
Consider the sequence:
8, 11, 14, 17, 20, 23, 26, ...
Write a recursive definition.
Question 2
Which sequences could be described by the recursive definition
2, 5, 14, 41, 122...
Question 3
Given that the first term is and the recursive definition is would be the 2nd term
Answer:
The correct answer would be D) 4.8x + 1.2 = 3.6; x = 0.5 mile
Step-by-step explanation:
This is because laps would be the dependent variable, so we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant. Now we can solve to make sure this is the right equation.
4.8x + 1.2 = 3.6
4.8x = 2.4
x = 0.5
Answer:
Step-by-step explanation:
The equation of the function in exponential form is
The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:
![1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3](https://tex.z-dn.net/?f=1%3Da%5Ccdot%20b%5E0%5CRightarrow%20a%3D1%5C%20%5C%20%5Bb%5E0%3D1%5D%5C%5C%20%5C%5C3%3Da%5Ccdot%20b%5E1%5CRightarrow%201%5Ccdot%20b%3D3%2C%5C%20b%3D3)
Thus, the equation of the function is
