Step-by-step explanation:
We know that
Radius = Diameter/2
=> Radius = 2/2
=> Radius = 1 in
Now,
Volume of cylinder = πr²h
=> π × (1)² × 9
=> 9π in³
Since it is filled ⅔ of the volume
So,
Water to be putted = ⅔ × 9π = 6π in³
Answer:
3/10
Step-by-step explanation:
There are totally 5 disks. On the first pick, there are 3 red discs. So
P(red disc on first pick ) = 3/5
Assuming that a red disc has been picked the first time, there will be 2 red discs and 2 blue discs so
(P red disc on second pick given red disc on first pick) = 2/4
P(red disc on both picks) = 3/5 x 2/4 = 3/10
Answer:
1/3 cup of almond milk remains.
Step-by-step explanation:
If the chef made 7 batches with 2/3 cup of almond milk in each batch, that would be 7 times 2/3, which equals 14/3 or 4 and 2/3 when simplified. 5 - 4 and 2/3 = 1/3.
1) This question is asking for the linear equation of the data in the table.
Remember a linear equation in slope-intercept form for this problem is something like a = cm + b, where c = the slope of the equation, b = the y intercept,
and m and a are your variables (and values in the table).
This might be confusing if you haven't learned it! Don't worry, all you need to know is the equation and just plug in values to find b (since that's the number that different in all your answer choices).
2) All your answer options have the same slope, c = -4000. All you want to find is the value of b, the y-intercept.
This value you can find by plugging in a set of values from the table into your equation, knowing c = -4000. Let's plug in the first row of values: m = 1, a = 35000.
a = cm + b
a = -4000m + b
35000 = (-4000)(1) + b
35000 = -4000 + b
39000 = b
3) That means b = 39000. Put b = 39000 and c = -4000 together into your equation a = cm + b to get your final equation:
a = cm + b
a = -4000m + 39000
That is answer choice B.
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Answer: B) -4000m + 39000
