Answer: option c.
Step-by-step explanation:
To solve the given exercise and write the expression as a single logarithm, you must keep on mind the following properties:


Therefore, by applying the properties shown above, you can rewrite the expression given, as following:

Then as you can see, the answer is the option c.
The constant of proportionality is 1/5
Also flexing on us with that 5G
Answer:
P(2.5≤X≤4) = 0,3125
Step-by-step explanation:
We know that the area under the curve of ANY probability distribution should not be greater than 1.
In this case, we now that 4P = 1, therefore, P=1/4. Where 'P' represents the height of the rectangle that represents the probability distribution.
The probability of P(2.5≤X≤4) will be given by the area of the following rectangle:
(4 - 2.5) × 1,5 = 0,3125
Therefore, P(2.5≤X≤4) = 0,3125
Answer:
Check the explanation
Step-by-step explanation:
Total utility is the overall satisfaction that a particular consumer received from consuming a given overall quantity of a good or service, To calculate the value of total utility economists utilize the following basic total utility formula: TU = U1 + MU2 + MU3
Kindly check the attached image below to see the step by step explanation to the question above.
We can factor this polynomial using grouping. What we do is split the 36p into into parts so that we can factor the polynomial one half at a time.
To do so, we first multiply the leading coeffient by the constant. In other words, a times c where

. After multiplying 4 and 81, we get 324. Now we need to find two numbers that multiply to be 324 and add to be 36.
The factors of 324 are: 1, 2, 3, 4, 6, 9, 12,18, 27, 36, 54, 81, 108, 162, and 324.
The pair of numbers that works in this case are 18 and 18 since 324 is a perfect square.
Now we split the 36p:

Now factor both halves.

We have a common binomial of 2p+9 that can be factored out it get

or