Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:

Where r is the radius and h is the height.
Volume of the cone A:

Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

Then:

Divide
by
:

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.
To determine the correct ordered pairs which will agree with the function, we can substitute values to the function and see whether it agree with each other. We do as follows:
<span>(0,1)
</span><span> f(x)=128(0.5)^0
</span><span> f(x)=128
</span><span>
(1,64)
</span><span> f(x)=128(0.5)^1
</span>f(x) = 64 <--------CORRECT ANSWER<span>
(3,16)
</span><span> f(x)=128(0.5)^3
f(x) = 16 <--------CORRECT ANSWER
</span><span>
(8,0.5)
</span><span> f(x)=128(0.5)^8
f(x) = 1/2
Hope this answers the question. Have a nice day.</span>
36:39 in simplest form is 12:13
Answer:
The correct option is D.
Step-by-step explanation:
The given graph is the graph of a cosine function, which shifts 1 unit left.
The cosine function is defined as

Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.
If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.
Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is

Option D is correct.
There will be 121 handshakes because 11 times 11 is 121