Answer:
n(A) = 2701
Step-by-step explanation:
If we subtract 299 from the numbers in the set, we get the counting numbers ...
{1, 2, 3, ..., 2701}
The number of elements in the set is 2701:
n(A) = 2701
The question is what numbers satisfy A ∩ C.
The symbol ∩ means intersection, .i.e. you need to find the numbers that belong to both sets A and C. Those numbers might belong to the set C or not, because that is not a restriction.
Then lets find the numbers that belong to both sets, A and C.
Set A: perfect squares from A to 100:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100
=> A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
Set C: perfect fourths
1^4 = 1
2^4 = 16
3^4 = 81
C = {1, 16, 81?
As you see, all the perfect fourths are perfect squares, so the intersection of A and C is completed included in A. this is:
A ∩ C = C or A ∩ C = 1, 16, 81
On the other hand, the perfect cubes are:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 81
B = {1, 8, 27, 81}
That means that the numbers 1 and 81 belong to the three sets, A, B, and C.
In the drawing you must place the number 16 inside the region that represents the intersection of A and C only, and the numbers 1 and 81 inside the intersection of the three sets A, B and C.
Answer:
<em>The current balance in the McQuire's account is $-605.11</em>
Step-by-step explanation:
Mr. McQuire deposited his paycheck for a total account balance of $712.34 on Friday.
The next morning, his wife wrote a check for $1,267.45
As, the total account balance is less than the amount of check, so the bank will charge a $50 overdraft fee.
That means, the total amount that will be deducted from his account 
So, the current balance in the McQuire's account 
Answer:
B, C, F
Step-by-step explanation:
Took this quiz got it right
Answer:
no
Step-by-step explanation:
Steps to answering this question
- determine the volume of the 12 basket
volume of a hemisphere = (2/3)πr^3
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = 40/2 = 20 cm
volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3
volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^
2. convert the litres of compost to cm and multiply by the total bags of compost
1 litre = 1000cm
1 bag of compost = 50 x 1000 = 50,000
4 bags of compost = 50,000 x 4 = 200,000 cm
3. compare which figure is higher. the figure gotten in step 1 or 2
201,142.86 cm^3 is greater than 200,000
there is no enough compost
473691.4
273691.4
