In the first 10 -> 10 - 9 = 1 (contain a 3).
In the first 100 -> 100 - 9 * 9 = 19 (contain a 3).
In the first 10^n ->
10^n - 9^n (contain a 3).
<u>The answer is 3.439 numbers contain a 3 in the first 10.000</u>
Answer:
Not Determinable
Step-by-step explanation:
Simplifying
Ln(4x + 1) = 6
Reorder the terms:
nL(1 + 4x) = 6
(1 * nL + 4x * nL) = 6
(1nL + 4nxL) = 6
Solving
1nL + 4nxL = 6
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Reorder the terms:
-6 + 1nL + 4nxL = 6 + -6
Combine like terms: 6 + -6 = 0
-6 + 1nL + 4nxL = 0
The solution to this equation could not be determined.
Answer:
x = 60
Step-by-step explanation:
Vertical opposite angles are formed when two straight lines intersect each other.
Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:
∠AOD = ∠COB (Vertical opposite angles are congruent)
∠AOE = 90° (right angle)
∠DOE = x
∠COF = 30°
∠BOF = 2x
m∠AOE + m∠DOE = m∠AOD (angle addition postulate)
90 + x = ∠AOD (Substitution)
m∠COF + m∠BOF = m∠COB (Angle addition postulate)
30 + 2x = ∠COB
m∠AOD = m∠COB (vertical opposite angles)
90 + x = 30 + 2x (Substitution)
Collect like terms
90 - 30 = 2x - x
60 = x
x = 60
Answer:
4 × 10¹⁰ > 2 × 10⁵
Step-by-step explanation:
Given that,
Two numbers in scientific notation.
First number: 4 × 10¹⁰
Second number: 2 × 10⁵
To compare scientific notation number.
First check the exponent of 10
If exponent is larger then number becomes larger.
First number exponent is 10 and second number exponent if 5
10 > 5
Therefore,
4 × 10¹⁰ > 2 × 10⁵
Answer:
Jess is 26, Cece is 29
Step-by-step explanation:
