The equation for the quadratic variation is:
y = kx^2
Plug in x and y values to solve for 'k'
32 = k(2^2)
32 = 4k
k = 32/4 = 8
Answer:
<h2>23.6°</h2>
Step-by-step explanation:
<h3>to understand the solving steps</h3><h3>you need to know about</h3>
- trigonometry i.g sin(x)=opp/hypo
- PEMDAS
<h3>given:</h3>
- opp:6
- hypo:15
<h3>to find:</h3>
<h3>let's solve:</h3>
therefore
<h3>xyz angle=23.6°</h3>
To solve this we are going to use the formula for the volume of a sphere:
where
is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,
. Lets replace that in our formula:
Now, the second diameter of our sphere is 36, so its radius will be:
. Lets replace that value in our formula one more time:
To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=
We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>
Answer:
y=4/5x-3 - (-5, -7)
Step-by-step explanation:
So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.
So we have (-10, 5)
Well plug in -10 for 4/5x we get:
-40/5=-8
Next we take that value and solve:
y=-8-3
y=-11
The answer for this was 5, not -11.
Ill skip a few steps:
(10, -11):
Plug in 10 we get:
y=8-3 which is y=5. This is not right, for it needed to be -11.
Next we have (5, -1)
This gets us y=4-3 this is y=1 which is not -1. So thats not right.
Finally we have (-5, -7):
This gets us y=-4-3 this is y=-7. What was our y value? -7!
So the answer is (-5, -7)
I hope this helps! :)
Answer: a) x = 5 b) x = 12
Step-by-step explanation: For each one you just do the inverse to get it on the other side of the equal sign. For example x + 3 = 8 would be like this :
1. x + 3 = 8
2. x + 3 - 3 = 8 -3
( + 3 - 3 cancels out)
3. x = 5