Answer:
Step-by-step explanation:
2 4 5 6
4 8 10 12
6 12 15 18
8 16 20 24
10 20 25 30
12 24 30 36
14 28 35 42
16 32 40 48
18 36 45 54
20 40 50 60
22 44 55 66
24 48 60 72
I have set this table up in a spreadsheet and colored in the squares as they appear in the table above. I have not counted any number as a member of 2 categories twice. An example would be 36 which is a multiple of 3 and a perfect square.
I have answered the question as though the question took on the properties of a dart board: you through a dart and whatever you hit is counted either as prime, a multiple of 3 or a perfect square
That said, there are
primes: 2
multiples of 3: 24
Perfect squares: 4
Total number of choices: 12*4 = 48
Probability: 30 / 48 = 5/8 or 0.625
If you are supposed to use some other method of counting, please leave a note.
The indefinite integral ∫dx/x is ln(x), so your integral is
... 7(ln(15)-ln(3)) = 7ln(15/3)
... = 7ln(5) ≈ 11.266065387
Answer:
Therefore,
The measures of two complementary angles are 3° and 87°.
Step-by-step explanation:
Given:
Let one angle measure of a Complementary angles be "x".
Then according to the given condition:
Measure of other angle will be 29 times "x" , let y = 29x.
To Find:
The measures of two complementary angles = ?
Solution:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
Example 40° and 50° are Complementary Angles.
If 'x' and 'y' are Complementary Angles the we have
Substituting the values we get
Substituting x in y we get
Therefore,
The measures of two complementary angles are 3° and 87°.
Step-by-step explanation:
a) fg(x) = f(x²-1) = 2(x²-1) + 3
= 2x² + 1
b) gf(x) = (2x+3)² - 1
= 4x² + 12x + 9 - 1
= 4x² + 12x + 8
c) fg(2) replace the value in a)
fg(2) = 2(2²) + 1
= 9