Answer:
5.6 m
Step-by-step explanation:
The volume of a cube can be found using the following formula.
We know the volume of the cube is 176 m³, so we can substitute that value in for v, or volume.
We want to find the side length. Therefore, we must get the variable, s, by itself on one side of the equation.
s is being cubed. The opposite of cubed is the cube root. So, take the cube root of both sides of the equation.
The question tells us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 6 in the tenth place.
The side length of the cube is about 5.6 meters.
Answer:
13 centimeters per day.
Step-by-step explanation:
We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.
To find the water level increase rate per day, we will divide total increase by total days as:
Therefore, the water level increase rate is 13 centimeters per day.
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
