Answer:
It is 2 hours, 22 minutes, 48 seconds.
The 2 is obviously 2 hours. For the minutes, .38 * 60 = 22.8, so the minutes is 22. 0.8 * 60 = 48. So 2 hours, 22 minutes and 48 seconds.
Answer:
is the fraction of 8th graders who are boys.
Step-by-step explanation:
Let total number of 8th graders = 
Given that,
of 8th graders play sports
8th graders who play sports = 
Also, Given that,
of 8th graders that play sports are boys
Number of 8th graders that play sports, and are boys = 
Hence, the answer is:
is the fraction of 8th graders who are boys.
The answer is 12π.
To get the volume of the cone, we need the height. The radius is given.
V = πr² × (h/3)
The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height
24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5
Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4
Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
The answer would be 5 years. I=PxRxT.
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)