The correct expression to simplify is:

Answer:

Explanation:
<u>1. Given expression</u>:

<u>2. Group like terms</u>:

<u>3. Simplify</u>:
- 4.25n + 5/4n = 4.25n + 1.25n = 5.5n
- 3/2p - 2p = 1.5p - 2p = - 0.5p = - 1/2p

You are correct. The answer is choice DThe only way for g(x) to be differentiable at x = 0 is for two things to happen
(1) g(x) is continuous at x = 0
(2) g ' (x) is continuous at x = 0
To satisfy property (1) above, the value of b must be 1. This can be found by plugging x = 0 into each piece of the piecewise function and solving for b.
So the piecewise function becomes

after plugging in b = 1
--------------------------------
Now differentiate each piece with respect to x to get

The first piece of g ' (x) is always going to be equal to 1. The second piece is equal to zero when x = 0
Because -sin(x) = -sin(0) = 0
So there's this disconnect on g ' (x) meaning its not continuous
Therefore, the value b = 1 will not work.
So there are no values of b that work to satisfy property (1) and property (2) mentioned at the top.
Answer:
B. it makes your results more convincing
Step-by-step explanation:
A scientific experiment involves the replication and repetition of the experiment. Repetition or conducting the multiple trials of the experiment is very crucial for a scientific experiment.
The experiment is performed to understand and explain the natural phenomenon and the repetition of the experiment ensures that the results obtained from these trials are efficient either to support the hypothesis or to disprove the hypothesis.
Experimenting with multiple trials removes the chances of errors in the experiment, increases the efficiency and strengthens the results to prove or disprove the hypothesis. In other terms, it can be said that it makes the results more convincing.
Thus, Option-B is the correct answer.
For number 1,
he is able to mow 3 lawns for every 1 hour so
0hrs=0 lawns
1hrs=3 lawns
2hrs= 6 lawns
3hrs= 9 lawns
Answer:
- expected value: -$0.21
- loss on 1000 plays: $210.53
Step-by-step explanation:
The expected value is the sum of products of payoff and probability of that payoff:
-$8(37/38) +$288·(1/38) = $(-296 +288)/38 = -$8/38 ≈ -$0.21
In 1000 plays, the expected loss is ...
-$8000/38 ≈ $210.53