X+3 or x-8
These answers will both work!
Answer:
The 38th term of 459,450,441,.. will be:

Step-by-step explanation:
Given the sequence

An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

so

The first element of the sequence is

so the nth term will be


Putting n=38 to find the 38th term




Therefore, the 38th term of 459,450,441,.. will be:

Answer:
<span>=3<span>√6</span>−3<span>√5</span></span>
Explanation:
<span>3<span><span>√5</span>+<span>√6</span></span></span>
We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>
<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>
<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>
<span>=−3<span>√5</span>+3<span>√6</span></span>
<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>
Answer:
Likely
First option is correct.
Step-by-step explanation:
The probability for occurring the event = 95% = 0.95
Let us understand different types of events:-
- Certain events: If the probability of occurring an even is 1, then it is a certain event.
- Impossible events: If the probability of occurring an even is 0, then it is a impossible event.
- Likely events: If the probability of occurring an even is close to 1, then it is a likely event.
- Unlikely events: If the probability of occurring an even is close to 0, then it is a unlikely event.
Now, the probability for occurring the event = 95% = 0.95, which is close to 1.
Hence, we can conclude that the event is likely.
First option is correct.