Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
By substitution:
Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:
Zero Product Property:
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Answer:
(22+5)=27 or (x+y)=27
Step-by-step explanation:
Answer:
<h2>
A = 22.5π ft² ≈ 70.686 ft²</h2>
Step-by-step explanation:
A = π×(2.5)² + π×2.5×6.5 = 6.25π + 16.25π = 22.5π ≈ 70.686 ft²
{6.5 ft is not a height, it's slant length}
<h3>
Answer: Yes, it is a function</h3>
This is a function because there are no x values that repeat.
If we had repeated x values, then this would mean a certain input x leads to multiple outputs y, and that would not make it a function.
For instance, if we had (2,1) and (2,2) at the same time, then the input x = 2 leads to multiple outputs y = 1 and y = 2 at the same time. A function would not be possible in this example.
A function is only possible if any input x leads to exactly one output y. It is possible for y to repeat itself and still have a function.
Answer: 26 gallons.
390÷15
15 can go into 39 only 2 times.
39-30 is 9
15 can go into 90 only 6 times.
90-90 is 0.