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Mathematics

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Nostrana [21]2 years ago

6 0

The maximum number of tourists in the third week will be maximum in the numberville city.The solution of f(x)=h(x) will be x(5,2).

<h3>What are equations?</h3>

The equation is actually a relationship between the numbers and the variables.

To calculate the number of the tourists in the third week we will put the value 3 in every function:

$f(x)=x^2+5x+10=(3)^2+(3\times 3)+10=29\\\\\\g(x)=3^x=3^3=27\\\\\\h(x)=10x=10\times 3=30$

So we can see that the function third h(x) numberville city is having a maximum number of tourists.

The solution of f(x)=h(x) will be calculated as:

$x^2-3x+10=10x\\\\\\x^2-7x+10=0\\\\\\x^2-5x-2x+10=0\\\\\\x(x-5)-2(x-5)=0\\\\\\x=5,2$

Hence the solution of f(x)=h(x) will be x(5,2).

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Helppp plzz I will give brainlist

ra1l [238]

#1. look at the individual probability first.
A dice has 6 sides. The numbers > 2 are {3, 4, 5, 6}. So the chance of rolling a number > 2 is 4/6 or 2/3 simplified.
Multiples of 3 on a dice are {3, 6}. So the chance of rolling a multiple of 3 is 2/6 or 1/3 simplified.

Rolling a dice is an independent event, like flipping a coin the previous roll does not have an effect on the outcome of the next roll. So when you see the word AND connecting the outcomes, you multiply them.

Prob of rolling >2 AND then multiple of 3 = (2/3)*(1/3)
= 2/9

#2. The total socks in the drawer: 8+8+4= 20 socks
The probability of first drawing a blue sock is 8/20 or 2/5 simplified.

Since the question does not say the socks are put back in the drawer, the total number of socks and number of blue socks decrease by 1 after the first draw. This makes the next draw dependent on the first.
The probability of drawing a blue sock is then: 7/19
because there's a blue sock missing.

Probability of drawing blue sock AND then a blue sock (without replacement)
= (2/5)*(7/19)
= 14/95

8 0

4 years ago

Eduardo thinks of a number between 1 and 20 that has exactly 5 factors what number is the thinking of?

babunello [35]

Eduardo is thinking of the number ' 16 '.

The factors of 16 are 1, 2, 4, 8, and 16.

Here's a cool little factoid:

Almost every number has an even number of factors. The
only ones that have an odd number are perfect squares.
(They still have an even number of factors, but two of the factors
are the same number, so the list looks like an odd number long.)

3 0

3 years ago

Read 2 more answers

Look at the angles for all regular polygons. As the number of sides increases, do the measures of the angles increase or decreas

Verdich [7]

Answer:

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

$x=\frac{(n-2)}{n}(180^o)$