The first answer is true and the second answer is true as for how this actually is just plug in the numbers
x=4, y=3
2(4)=8 8+3=11
4-1=3
The first column has 10 cubes.
The question states that the other two columns each have 4 fewer cubes than the first column.
10 - 4 = 6
This means that each of the other 2 columns have 6 cubes each.
Column 1: 10 Cubic units
Column 2: 6 Cubic units
Column 3: 6 Cubic units
10 + 6 + 6 = 22
Anna’s Figure has 22 Cubic Units
The figure created with the rotation is a cone with a height of 3 units, and a radius of 4 units.
<h3>
What type of figure will be created?</h3>
First, we have a triangle whose vertices are: (-3, 0), (0, 0) a (-3, -4).
This is a triangle whose base measures 4 units and its height measures 3 units (if we considerate the base along the y-axis).
Then, if we rotate it around the x-axis, we will get a cone.
<h3>What are the dimensions of the cone?</h3>
The height of the cone should be the same as the height of the original triangle, and the radius of the cone should be equal to the base of the original triangle.
So the dimensions of the cone are:
- height = 3 units.
- radius = 4 units.
If you want to learn more about cones, you can read:
brainly.com/question/6613758
Answer:
We start with the expression:
exp( (4/3)*ln(2) - 1)
Here we can use that:
exp(ln(x)) = x.
and e^(a + b) = e^a*e^b.
the first step here is:
e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)
So the first step of Stephen is correct, but the first step of helen is not, you can not simplify the expression in that way.
now, we have that:
a*ln(x) = ln(x^a)
then we can write:
(4/3)*ln(2) = ln(2^(4/3))
and e^(ln(2^(4/3)) = 2^(4/3)
then we have:
e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e
now we can write this as:
∛(2^4)/e
here is where stephen makes the mistake, he uses the 4 in the rooth and the 3 in the power.
so the expression actually is:
∛(16)/e