Answer:
Step-by-step explanation:
(vertical angles)
(Interior angles on the same side of transversal)
9514 1404 393
Answer:
- 100 mL of 75% solution
- 150 mL of pure alcohol
Step-by-step explanation:
Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...
1.00x +0.75(250 -x) = 0.90(250)
0.25x +187.5 = 225 . . simplify
0.25x = 37.5 . . . . . . . . subtract 187.5
x = 150 . . . . . . . . . . . . . divide by 0.25
(250 -x) = 100 . . . . mL of 75% solution
You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.
(1,1)
(2,3)
(0,-1)
(3,5)
(4,7)
it’s actually very simple, all you have to do is plug in whatever value you want for x and then solve the problem. once you have done that you put it in this format: (x,y)
for example, the first ordered pair that i told you: (1,1)
i got this by first deciding to use 1 as my x-value, then plugging it into the equation, so it was y=2•1-1. from there you just solve for y, which is very simple. make sure you remember order of operations though, or you could get it wrong! from that step i just put it in ordered pair format, or (x,y). this made my first ordered pair, which was (1,1). you can use the same steps for all ordered pairs you want to find. i hope this helps!
f(n) is the nth term
Each term f(n) is found by adding the terms just prior to the nth term. Those two terms added are f(n-1) and f(n-2)
The term just before nth term is f(n-1)
The term just before the (n-1)st term is f(n-2)
----------------
For example, let's say n = 3 indicating the 3rd term
n-1 = 3-1 = 2
n-2 = 3-2 = 1
So f(n) = f(n-1) + f(n-2) turns into f(3) = f(2) + f(1). We find the third term by adding the two terms just before it.
f3) = third term
f(2) = second term
f(1) = first term
Answer:
Step-by-step explanation:
the information we have is:
- the radius of the circle in the base:
(u for units)
- and the height of the cone:
to find the volume we need the formula for the volume of a cone:
where r is the radius and h is the height.
Substituting the known values to find the volume:
the volume in terms of 
is 
and if we substitute the value of pi: 
we get:
