Answer:
a. 
b.
E of first can =
E of second can = 
c. Yes
Step-by-step explanation:
The efficiency ratio is:
E = Surface Area / Volume
a.
We can write:
Where
S is surface area of cylinder
V is volume of cylinder
The formulas are:
S = 
V = 
So, the <u>efficiency ratio (E) </u>is:
b.
The first can has radius "r" and height "h", so the efficiency ratio is:
The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:
c.
We now need to say if the company made a good decision or not.
If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.
The first can has "2h"
The second can has "h"
The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.
We need smaller ratio.
So, 2nd can has indeed smaller ratio, so the company made a good decision.
Answer:
It is not. Also use ^2 to represent squaring a number.
Step-by-step explanation:
First, USE ^2 FOR SQUARED
It is not correct.
The standard equation of a circle is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius.
In your question the center is (-2,3) and the radius is the length of the line segment from the center to any pointon the circle. nd hey, it tells us a point on the circle is (-2,6).
Let's take it one part at a time. we know h and k so let's plug them in.
(x-h)^2 + (y-k)^2
(x-(-2))^2 + (y-3)^2
(x+2)^2 + (y-3)^2
now r is the length of the line segment from (-2,3) and (-2,6). To get from (-2,3) to (-2,6) hopefully it is pretty obvious you just move up (so int he y direction) 3 spaces. this makes r = 3. int he formula we want r^2 and that is 9. The result is that the circle has a formula of:
(x-h)^2 + (y-k)^2 = r^2
(x+2)^2 + (y-3)^2 = 9
The formula Juanita got is actually a hyperbola.
Answer:
The first table; <em>the first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.</em>
Step-by-step explanation:
Exponential decay means that the graph or table is exponentially decreasing. Meaning, if you went from point 4 to 1, you would see an exponential increase. Other tables show other forms of functions, such as quadratic, or linear. To find out which rate it is decaying by, ask yourself, at 0, what is the y output? You can then divide the output of 0 by 1, and so on. If it is decaying at a consistent rate, then you know it is exponential. If you do not need to divide, but know it is decaying at a rate of two, it is linear. If it does not divide the first time smoothly, it is quadratic. It could also be a number of things.
I hope this helps you. We studied this quite a while ago, and I do not remember the equation at the tip of my tongue, and I do not want to give you wrong information. Have a great rest of your day!
Answer:
y-intercept of the line MN = 2
Standard form of the equation ⇒ x + y = 2
Step-by-step explanation:
Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)
Slope of a line = 
= 
= -1
Equation of the line MN passing through (-3, 5) and slope = -1,
y - 5 = (-1)(x + 3)
y - 5 = -x - 3
y = -x + 2
This equation is in the y-intercept form,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, y-intercept of the line MN = 2
Equation in the standard form,
x + y = 2
