Given that the integral is given as 
, Hence, we are required to find the area under the graph where t is between 0 and 12. The correct answer is 2 (Option A) See the explanation below.
<h3>What is an integral?</h3>
An integral is a function of which a given function is the derivative, that is, when differentiated, it returns that function, and it can express the area under the curve of a graph of the function.
Hence the areas under the graph for the above function are given as:
12 + 6 + 2 + (-2) + (-16)
= 20-18
= 2
Notice that the following figures were arrived at by dividing the areas under the graph into common geometric shapes and deriving their area.
For example, the first three positive values were derived by dividing the positive part of the graph into two triangles and a rectangle.
The length of the rectangle is 6 while its height is 2
Area of a rectangle is L x W
= 6 * 2
= 12
It is to be noted that the areas under the curve are negative hence the negative results. See the attached image.
Learn more about graphs at:
brainly.com/question/19040584
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There are several different angles associated with circles. Perhaps the one that most immediately comes to mind is the central angle. It is the central angle's ability to sweep through an arc of 360 degrees that determines the number of degrees usually thought of as being contained by a circle.
6.7 hectometers = 670 meters.
Solution:
Given 6.7 hectometers.
To convert hectometers into meters:
Conversion unit:
1 hectometer = 100 meters
We have 6.7 hectometers.
So multiply 6.7 by 100, we get
6.7 hectometers = 6.7 × 100 meters
= 670 meters
Hence 6.7 hectometers = 670 meters.
Answer:
0.48 or 48%
Step-by-step explanation:
The relative frequency of wins for the basketball team in question is given by the number of wins over the course of the 25 games, divided by the total number of games.
Observing the given data, 12 'Ws' can be counted, which means that the relative frequency of wins is:
The relative frequency of wins is 0.48 or 48%.
The question is basically asking<em> "What is 1¼ × 6?"</em>
There are multiple ways to arrive at a solution for this.
The first is to break the 1¼ into parts.
1¼ = 1 + ¼. When we multiply 1¼ by 6, that's equal to 1×6 + ¼×6.
1×6 = 6.
¼×6 = 6/4 = 1½.
6 + 1½ = 7½ hours
You could also put 1¼ as an improper fraction and then multiply.
1¼ = 1 + ¼.
1 = 4/4.
4/4 + 1/4 = 5/4.
5/4 × 6 = (5×6)/4 = 30/4.
30/4 = 15/2 = 7½ hours
