Answer:
C. 24pi cu ft.
Step-by-step explanation:
The equation to find the volume of a cone is v=pi r^2 h/3. So, just substitute the given information to the equation:
pi=3.14; r=6; h=2
V= pi 6^2 2/3 > V= pi(36) 2/3 > V=113.04 2/3 > V=75.36
Then you can go through all the answers and multiply them by 3.14.
6* 3.14=18.84; A is wrong
18* 3.14=56.52; B is wrong
24* 3.14=75.36; C is correct
48* 3.14=150.72; D is wrong
Now we know that the answer is C. 24pi cu ft.
Answer:
10.754 billion
Step-by-step explanation:
this is a exponential growth question. the initial value is 6.114 billion, with a growth rate of 1.9%, and 30 years. after you plug the values into the exponential growth equation, you should get 10.754 billion.
Answer:
The median is the middle number in the sequence
Step-by-step explanation:
Let
be the common ratio between terms. Then
Now denote the
th partial sum of the series by
Multiply both sides by
, then subtract from the above to get
As
, you're left with
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Inequality</u>: (x-1)(x+2)(2x-7)≤0
<h3>Solution: </h3>
<u>If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots </u>
<u>We need to consider the following 4 intervals: </u>
- (−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)
<u>1st interval</u> (−∞; −2)
- The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.
<u>2nd interval</u> [−2; 1]
- The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.
<u>3rd interval</u> (1; 3.5)
- The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.
<u>4th interval</u>
- The expression is positive as above, and therefore also does not satisfy the inequality.
<u>So, the answer to the inequality is:
</u>
