Answer:

Step-by-step explanation:
step 1
<em>Calculate the volume of the cylinder (flower vase)</em>
The volume is equal to

we have
-----> the radius is half the diameter

substitute the values
------> exact value
step 2
Calculate 2/3 of the volume

We have to answer what does the 15 represent in the function : f ( x ) = 15 * 2^x, which models the increasing of the frog population at a lake. We know that the frog population doubles every 3 weeks and that: f ( 6 ) = 960. It means that: 15 * 2^ 6 = 15 * 64 = 960. And also f ( 0 ) = 15 * 2^0 = 15 * 1 = 15. Therefore it is a starting population. Answer: The 15 represents <span>B - The starting population.</span>
Answer:
Correct option is: 9:6:5
Step-by-step explanation:
I'm not sure but hope it helps.
Answer:
y=-2x + 8 which is the required equation
Which is option C
Step-by-step explanation:
Given:
Slope = m = -2
Given points are ( -2,12)
Which is
x = -2 and y =12
TO find:
Equation of line passing through these points = ?
Solution:
The point slope form of a line is
y = mx + c
Here we don't know the value of c
To find it
Putting y = 12 , x= -2 and y = -2 in the given equation
y = mx + c
Putting values it becomes
12 = (-2)*(-2) + c
12 = 4 + c
Subtracting 4 from both sides
12-4 = 4 -4 + c
8 = c
Now we have
m = -2 and c= 8
So equation of a line is given by
y = mx + c
Putting value of m and c
y = -2*x + 8
y=-2x + 8 which is the required equation