P(heads or tails) = 1 This is because when flipping a coin, there are only two possible answers, either heads ir tails so the probability of getting either one is 100%. However, if you're asking for P(heads) = 1/2, and P(tails)= 1/2.
(1/3) × the cone's volume = The cylinder's volume.
Step-by-step explanation:
Step 1:
The volume of any cone is obtained by multiplying
with π, the square of the radius (
) and the height (
).
So the volume of the cone,
.
Step 2:
The cylinder's volume is nearly the same as the cone but instead by multiplying
we multiply with 1.
So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder (
) and the height of the cylinder (
).
So the the cone's volume,
.
Step 3:
Now we equate both the volumes to each other.
The cone's volume : The cylinder's volume =
=
.
So if we multiply the cone's volume with
we will get the cylinder's volume with the same dimensions.
Answer:x = -8
Step-by-step explanation:
Answer:
x = 7
y = 12
Step-by-step explanation:
To do this question you have to know your exponent rules, but also you need to know how to add fractions.
To multiply
6^(1/3) × 6^(1/4)
you can keep the 6 and just add the exponents.
That's why the answer is set up on the form 6^(x/y)
To add fractions, you need a common denominator, it is 12.
1/3 is 4/12.
1/4 is 3/12.
So 1/3 + 1/4
is the same as:
4/12 + 3/12
= 7/12
7/12 is the exponent you are looking for.
x = 7 and y = 12.
6^(1/3) × 6^(1/4)
=6^(7/12)
The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
<h3>What is transformation of a function?</h3>
Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
- Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
- Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.
The given function is,

This function is changed to the function,

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.
Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
Learn more about the transformation of a function here;
brainly.com/question/10904859
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