Find the cardinal number of the set C = {x | 25 < x ≤ 50}, where ℤ denotes the set containing all integers. A) 26 B) 24 C) 25 D) 27
Answers
Answer:
The correct answer is A.
Final answer:
The cardinal number of the set C = {x | 25 < x ≤ 50}, containing integers greater than 25 and up to (including) 50 is 25 as it represents the total number of integers within these conditions.
Explanation:
The set C = {x | 25 < x ≤ 50} denotes the set of all integers that are greater than 25 and less than or equal to 50. When we calculate these values, we get the numbers 26 through to 50. This gives us a total of 25 different values (or integers). So, the Cardinal number of the set C, which stands for the number of elements in the set, is 25. Therefore, the correct option is C) 25.
or
The set C = {x | 25 < x ≤ 50} represents all values of x that are greater than 25 and less than or equal to 50. We can count the number of integers within this range to find the cardinal number of the set.
Step 1: Subtract the lower bound from the upper bound and add 1: 50 - 25 + 1 = 26
Therefore, the cardinal number of the set C is 26.
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Joseph's taxi charges $10.00 for the initial service of any drive. Then, the fee for each mile is $0.75. Which type of function is represented by this situation?1) linear 2) exponential 3) quadratic 4) absolute value Justify your answer
Answers
Answer in Words: One thousand and six hundred twenty-five.
The cube of 10 is 1000.
10 X 10 = 100 (square of ten)
100 x 10 = 1000 (cube of ten)
The square of 25 is 625.
25 x 25 = 625 (square of 25)
Therefore, 1000 + 625 = 1625
the sum is 1625
Answers
the qubic root is 5
the forth root is approx 3.87
5 cm
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Answers
Answer:
It was 5 cm, not 4
Step-by-step explanation:
Answer:
5cm
Step-by-step explanation:
b. what height will the ball be at the top of the sixth path
Answers
a. write a rule for the sequence using centimeters. The initial height is given by term n = 1
For this case we have a sequence of the form:
Where
a0: initial height
r: rate of change
n: number of paths
On the other hand we have the following conversion:
1 meter = 100 centimeters
Therefore we have:
Thus, the general rule for the sequence in centimeters is:
Answer:
a rule for the sequence using centimeters is:
b. what height will the ball be at the top of the sixth path
For this case, we substitute the value of n = 6 in the equation obtained in part a.
We have then:
Answer:
the height of the ball will be 27.06 at the top of the sixth path
an = a1 r^(n-1)
with a1 as 1.5
and r = 0.71
So,
a.
The rule for sequence is:
an = 1.5 (0.71)^(n - 1)
b.
After the sixth path, the height of the ball at the top is
a6 = 1.5 (0.71)^(6 - 1)
a6 = 0.27 m