Answer: 9
Step-by-step explanation:
Sorry the pi sign looks weird. The formula for area of a circle is
, so we have to substitute the radius with 3. The square of 3 is 9, so the answer is 9pi.
Collecting pennies can either be a dependent or an independent events based on the scenario.
<h3>How to illustrate the information?</h3>
Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail.
A coin toss is an illustration of an autonomous occurrence. With each toss of the coin, there is an equal probability (0.5) of either heads or tails occurring, presuming that the coin is fair and can only land on heads or tails. It doesn't matter if the coin came up heads on the prior toss.
In conclusion, collecting pennies can either be a dependent or an independent events based on the scenario.
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Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer:
x = 5.57
Step-by-step explanation:
c² = a² + b² − 2ab cos C
x² = 10² + 6² − 2(10)(6) cos 29°
x = 5.57
Your answer and steps are correct.
Answer:
y = -2x + 3
Step-by-step explanation:
Hope this helps!