Answer:
The correct answer is c. 13/3
Step-by-step explanation:
In order to find this, we put -2/3 in for each x that we see and evaluate.
f(x) = 3x^2 - 6x - 1
f(-2/3) = 3(-2/3)^2 - 6(-2/3) - 1
f(-2/3) = 3(4/9) + 4 - 1
f(-2/3) = 4/3 + 3
f(-2/3) = 13/3
Answer:
The cosine function is f(t) = -30sin(π÷3)t + 20
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
General form of cosine function is f(x) = A cos(Bx)+C
Where A is the amplitude
B=2π÷Period
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
A=(-10-50)÷2 = -30
Period of 1 cycle is 6 hour
So,
B = 2π÷6 = π÷3
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
f(t) = A cos t + C
-10 = -30 cos 0 + C
Therefore, C = 20
Substituting the values, we get
The cosine function is f(t) = -30sin(π÷3)t + 20
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<span>Which weight is equivalent to 40 ounce:
</span>2 pounds
The points that represent this data are shown in the image attached below.
<h3>What is a scatter plot?</h3>
A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
Based on the information provided in table above, the points that represent this data are shown in the image attached below.
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Answer:
AE and AD
Step-by-step explanation:
The altitude is the line from the vertex at right angles to the opposite side.
Then AE is the altitude
The median is the line from the vertex to the midpoint of the opposite side.
Then AD is the median