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NemiM [27]
2 years ago
7

This question is worth 20 points if someone answers it! ​

Mathematics
1 answer:
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).

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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Answer:

Step-by-step explanation:

What do we know about that prism?

It's a rectangular prism with a square base.

Height: y (from question)

base length: x (from question)

base width: x (from question, since it's a square base).

Total volume: 150 cu inches

The question lacks a relationship between x and y the "is __ times", but we can see from the answer choices that they all show a constant relationship:

y = 1.5 x  

The volume of a prism is obtained by  multiplying the lengths of its 3 dimensions: V = length * width * height.  In our case, we then have

150 = x * x *  y

then we replace y by its x-expressed equivalent:

150 = x * x * (1.5x) = 1.5x³

then we isolate x³ by dividing each side by 1.5

x³ = 100, we do the cubic root on each side

x = 4.64

So, answer is D. x = 4.6 and y = 6.9

If you you 4.64 * 4.64 * 6.96 = you get 149.8, which is very close to 150.

8 0
3 years ago
60 percent of what number is 24?
elena-s [515]
The answer is 14.4

Hope it Helps :]

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Which number belongs in the set of whole numbers on the Venn diagram? A) −18 B) −1 C) 2 D) 9.5
Elena-2011 [213]

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The Answer is C

Step-by-step explanation:

Because 2D is a Whole Number and 18B is too big. Can I please have Brainlest

5 0
3 years ago
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Can the sides of a triangle be in the given ratio? 3:4:5
RUDIKE [14]

Answer:

Yes

Step-by-step explanation:

In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:

a + b > c

a + c > b

b + c > a

Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.

With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:

a + b > c  ⇒  3x + 4x  >?  5x  ⇒  7x > 5x  ⇒  This is true

a + c > b  ⇒  3x + 5x  >?  4x  ⇒  8x > 4x  ⇒  This is also true

b + c > a  ⇒  4x + 5x  >?  3x  ⇒  9x > 3x  ⇒  This is true

Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.

<em>~ an aesthetics lover</em>

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3 years ago
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