Answer:
210.25 pi in^2.
Step-by-step explanation:
Diameter = 14.5 inches so the radius = 1/2 * 14.5 = 7.25 inches.
So the surface area of the sphere = 4 pi r^2
= 4 * pi * 7.25^2
= 210.25 pi in^2.
Answer:
x can take any value less than 3.
Step-by-step explanation:
This is an inequality.
Lets solve the inequality for x
This means x can take any value less than 3.
We can show this by using a number line.
Notice how number 3 is not fully shaded, this means x cannot be 3. And all the numbers less than 3 to infinity is shaded, meaning x can take any value in that range.
Whether the events are dependent or not, the rule for conditional probability applies:
P(a|b) = P(a∩b)/P(b)
P(a|b)×P(b) = P(a∩b)
0.25×0.4 = P(a∩b) = 0.1
The appropriate choice is
C. 0.1
We are provided with the following
And we need to find <em>f(1)</em> and then choose the choose the equivalent expression for <em>f(1)</em> from the given options . But , as <em>two functions</em> are defined by <em>f(x)</em> so let's define the function for x = 1
As f(x) = x , for <em>x < 2</em> and <em>1 < 2</em> . So <em>f(x) = x for x = 1</em> , now putting x as 1 ,so <em> f(1) = 1</em>
Now , also , as in all option their is <em>f(2)</em> , so let's find <em>f(2) also </em>, so that we can easily find the correct option , now as <em>f(x) = 2x - 3 , for x ≥ 2</em> and 2 = 2 , so <em>f(2) = 2(2) - 3 = 4 - 3 = 1 </em>
Now , As other options contains some constant multiplied by <em>f(2)</em> except option C) , so only f(2) will be 1 , and <em>also f(1) = 1</em> , So f(1) = f(2)
<em>Hence , Option C) f(2) is correct</em>
It would use a closed circle and the ray will move to the left.