In how many ways can carlos draw a blue or a green marble from a jar containing 30 blue marbles and 6 green marbles?

2 answers:

7 0

Total outcome = 30 + 6 = 36 [ 'cause it's a simple case when observer takes 1 object at a time]

So, option C is your final answer.

Hope this helps!

Anton [14]1 year ago

6 0

D) 180 because there are 180 possible combinations for the marbles to be picked out

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Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".

kakasveta [241]

The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.

The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100

Thus,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553

<em>The maximum value of the function is 0.2553.</em>

5 0

2 years ago

What is the sum of all positive integers smaller than $1000$ that can be written in the form $100\cdot 2^n$, where $n$ is an int

netineya [11]

Answer:

The sum is 1575.

Step-by-step explanation:

Consider the provided information.

It is given that positive integers smaller than 1000 and that can be written in the form $100\cdot 2^n$