(10.01 MC) Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to
breach the fort's circular wall, and Marko must provide the angle at which the cannon should turn in order to shoot the attacking bandits. The bandit is attacking as pictured in the figure below: 30l What is the angle of fire in standard position on the unit circle in both degrees and radians? (2 points)
2 answers:
You might be interested in
Option B
Trevor isn't correct because -2i must also be a root
<em><u>Solution:</u></em>
For the polynomial with roots -7, 2i and 7 their roots can be,
1. ) Real roots
2.) Imaginary roots
The real roots are: -7 and +7
The imaginary root given is: 2i
The imaginary roots come from the square root. So they will be in form of
Therefore,
For f(x) with roots -7 and +7 and we have,
Fundamental Theorem of Algebra states that a polynomial will have exactly as many roots as its degree (the degree is the highest exponent of the polynomial).
So for f(x) with 4 roots, degree of f(x) is 4
So option B is correct. Trevor is not correct because –2i must also be a root.
Answer:
14 gallons
Step-by-step explanation:
If 11 2/3 gallons represents 5/6 full bucket then we can equate that
x=1 full
Therefore, the bucket requires 14 gallons
Answer:
<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>Step-by-step explanation:
Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.
A sample size is 100 taken at random from the given population.
<h3>To find the standard error of the sample mean :</h3>From the given Mean=40 and
For N=100
<h3>The formula for standard error isSubstitute the values in the above formula we get
∴
The equation for exponential decay is 
, where <em>a</em> is the initial amount, <em>b</em> = 1 + <em>r</em> (the growth rate as a decimal number) and <em>x</em> is the number of time periods (in this case, minutes). Substituting the information we have:
. To the nearest tenth of a gram, this would be 1.0 grams.