Answer:
649 kg of vegetables
Step-by-step explanation:
What is asked?
The total number of vegetables planted
The given facts?
The operation to be used?
The addition operation
The number sentence?
The answer?
Answer:
The word "ARRANGE" can be arranged in
2!×2!
7!
=
4
5040
=1260 ways.
For the two R's do occur together, let us make a group of R's taking from "ARRANGE" and permute them.
Then the number of ways =
2!
6!
=360.
The number ways to arrange "ARRANGE", where two "R's" will not occur together is =1260−360=900.
Also in the same way, the number of ways where two "A's" are together is 360.
The number of ways where two "A's" and two "R's" are together is 5!=120.
The number of ways where neither two "A's" nor two "R's" are together is =1260−(360+360)+120=660.
Step-by-step explanation:
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Answer:
A ; 23rd century
Step-by-step explanation:
Here, we want to select which of the options is next to have a descending year.
Since all are in the same century i.e 20-something, we do not have an issue with the first digit.
What we need to work on is the last three digits;
We can have 2210, we can have 2321, we can have 2432, we can also have 2543 and so on.
The most recent of all these is the year 2210, so what century does this belong?
Kindly note that, the years 2001-2100 belong to the 21st century.
The years 2101-2200 belong to the 22nd century while the years 2201-2300 belong to the 23rd century
The year we are looking to place is the year 2201 and thus belongs to between 2201-2300 which is the 23rd century
To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:
2. Rewriting the expression we have:
3. You have that
and the exponent
are divisible by index
. Therefore, you have:
Therefore, as you can see,
the answer is the option, which is:
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.