Answer:
Purple Cylinder
Step-by-step explanation:
You are given the equation for the volume of a cylinder, which is:
, where r is the radius of the cylinder and h is the height.
We are given both the height and radius of each cylinder in the question, therefore we can work out the volume of each of them.
Purple Cylinder:
Radius given = 2
Height given = 2
, so the volume of the purple cylinder is
.
Green Cylinder:
Radius given = 1
Height given = 6
, so the volume of the green cylinder is
.
Now let's compare the volumes:
.
is larger than
so the volume of the purple cylinder is greater than the volume of the green cylinder.
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➷ Calculate the number of hours:
24 x 3 = 72
72/13 = 5.5....
This is 5 whole half lives
You have to half the value 5 times
149/2 = 74.5
74.5/2 = 37.25
37.25/2 = 18.625
18.625/2 = 9.3125
9.3125/2 = 4.65625
The closest value is B. 3.21 so that should be the answer
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Answer: the x-intercept is (-10,0), the y-intercept is (0,45/2)
Explanation:
First, we need to determine the function describing the line.
From the table, it is obvious that the y values increase by 9 every increase of 4 of the x values. So, the slope is 9/4 and the function looks like this:

with the y-intercept (or bias) b still unknown. This can be determined by using one of the point from the table, like so:

The above function form makes it easy to read off the y-intercept, which is (0,45/2) or (0,22.5). The x-intercept is obtained by setting y = 0 and solving for x:

The x-intercept is (-10,0)
Answer: there are 25 red flowers in Sakura's garden.
Step-by-step explanation:
In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. This means that if there are 10 red flowers, there would be 20 yellow flowers. if there are 20 red flowers, there would be 40 yellow flowers. Therefore, the ratio of red flowers to yellow flowers in the garden is
5/10 = 10/20 £= 20/40 = 1/2 = 1:2
Total ratio = 2 + 1 = 3
If there are 75 total red and yellow flowers, then the total number of red flowers are in Sakura's garden would be
1/3 × 75 = 25