<span>
<u><em>Answer:</em></u>7
<u><em>Explanation:</em></u><u>We are given the equation:</u>
</span>

<span> * c
We want to get the value of the equation at <u>c = 8</u>.
Therefore, all we have to do is <u>substitute c in the equation with 8 and solve</u> as follows:
</span>

<span> * 8
= </span>

<span>
The 8 in the numerator will be cancelled out with the 8 in the denominator leaving us with only the <u>7 as a solution</u>
Hope this helps :)</span>
Answer: The first outcome shall be 0.33 or 33%.
The second outcome would be 0.5 or 50%
Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;
P(Red) = Number of required possibilities/Number of all possibilities
P(Red) = 1/3
P(Red) = 0.33
Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.
After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;
P(Red) = Number of required outcomes/Number of possible outcomes
P(Red) = 1/2
P(Red) = 0.5
The slope is 4 m/s
Hope this helps
Answer:
8.733046.
Step-by-step explanation:
We have been given a definite integral
. We are asked to find the value of the given integral using integration by parts.
Using sum rule of integrals, we will get:

We will use Integration by parts formula to solve our given problem.
Let
and
.
Now, we need to find du and v using these values as shown below:






Substituting our given values in integration by parts formula, we will get:



Compute the boundaries:



Therefore, the value of the given integral would be 8.733046.
Can you explain what the question is asking?