<span>
-- "Two hundred and three thousandths"
means' ' 2.003 '.
-- "Two hundred three thousandths" would mean ' 0.203 '.
How can you tell the difference?
The difference is the 'and'.</span> "And" means 'decimal point'.
' 678 ' is read as "six hundred seventy eight", with no 'and'.
' 40.06 ' is read as 'forty and six hundredths'.
' 0.46 ' is read as ' forty-six hundredths'.
The formula is A = Pe^(rt)
where A = amount in the account after a specified period of time
P = principle
e = a constant value (similar to using pi in a formula)
r = rate (change to a decimal)
t = time (in years unless otherwise specified)
A = 5500e^(.08*6)
A = $8888.41
Always round money to two decimal places unless told otherwise.
Answer:
The puck travels in a circular path of radius 0.25 m. ... C. away from the centre. D. ... If the speed of the mass at the top of the circle is 3.6
Step-by-step explanation:
The sample space of an event is the list of possible elements of the event.
The set elements are:
- Ac = {x : 0, 5 ≤ x ≤ 10}
- A n B = {x : 3 ≤ x ≤ 4}
- A ∪ B = {x : 0 < x ≤ 7}
- A∩Bc = {x : 1 ≤ x ≤ 2}
- A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}
<h3>How to determine the intervals of the subsets</h3>
The given parameters are:
S = {x : 0 ≤ x ≤ 10}
A = {x : 0 < x < 5}
B = {x : 3 ≤ x ≤ 7}
<u>(a) Ac </u>
This represents the list of elements in the universal set not in set A.
So, we have:
Ac = {x : 0, 5 ≤ x ≤ 10}
<u>(b) A ∩ B </u>
This represents the list of common elements in sets A and set B.
So, we have:
A n B = {x : 3 ≤ x ≤ 4}
<u>(c) A ∪ B </u>
This represents the list of all elements in sets A and set B, without repetition.
So, we have:
A ∪ B = {x : 0 < x ≤ 7}
<u>d) A∩Bc </u>
Given that:
B = {x : 3 ≤ x ≤ 7}
So, we start by calculating B^c i.e. the list of elements in the universal set not in set B.
So, we have:
Bc = {x : 1, 2, 8 ≤ x ≤ 10}
A∩Bc would then represent the list of common elements in sets A and set Bc
So, we have:
A∩Bc = {x : 1 ≤ x ≤ 2}
<u>(e) A^c ∪ B</u>
In (a), we have:
Ac = {x : 0, 5 ≤ x ≤ 10}
Given that:
B = {x : 3 ≤ x ≤ 7}
A^c ∪ B would then represent the list of all elements in sets Ac and set B
So, we have:
A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}
Read more about sets are:
brainly.com/question/2193811
Answer: A: 3/5
Step-by-step explanation:
-2/5 + a = 1/5
add -2/5 on both sides
a = 1/5 + 2/5
a = 3/5