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4 years ago

Help me plz ???????????????

Mathematics

1 answer:

Aleksandr-060686 [28]4 years ago

8 0

Its a we know its this cause its rational and if its a rational number it is also an integer and a whole number

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If the math Olympiad club consists of 14 students, how many different teams of 5 students can be formed for competitions?

aliina [53]

Answer:

Step-by-step explanation:

5 x 2 = 10

5 x 3 = 15 > 14

therefore...

there are 2 teams of 5

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4 years ago

What is :<br><br>(49^x)(7^x^2)=2401^2

ludmilkaskok [199]

$(49^x)(7 ^{x^2})=2401^2 \\ \\( (7^2)^x)(7 ^{x^2})= (7^4) ^2 \\ \\ 7 ^{2x}\cdot 7^{x^2}=7^{8} \\ \\ 7 ^{2x+x^2} =7^{8} \\ \\2x+x^2 =8$

$x^2-2x-8 = 0\\ \\ a=1, \ b=-2, \ c=-8 \\ \\\Delta =b^2-4ac = (-2)^2 -4\cdot1\cdot (-8) = 4 +32 =36 \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{2-\sqrt{36}}{2 }=\frac{ 2-6}{2}=\frac{-4}{2}=-2 \\ \\x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{2+\sqrt{36}}{2 }=\frac{ 2+6}{2}=\frac{8}{2}= 4 \\ \\Answer: \ x=-2 \ \ or \ \ x=4$

7 0

3 years ago

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Explain -3 1/3, 3.3, -3 and 3/4, 3.5 from least to greatest

vladimir2022 [97]

-3 1/3, -3, 3/4, 3.3, 3.5

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3 years ago

Create a question with this scenario you could ask that could be answered only by graphing or using logarithm.

Vesnalui [34]

Answer:

After how many years is the fish population 100?

x=3.97 years

Step-by-step explanation:

The fish population increases by a factor of 1.5 each year. We have the equation that represents this situation

$f (x) = 20 (1.5) ^ x$

Where x represents the number of years elapsed f(x) represents the amount of fish.

Given this situation, the following question could be posed

After how many years is the fish population 100?

So we do $f (x) = 100$ and solve for the variable x

$100 = 20 (1.5) ^ x\\\\\frac{100}{20} = (1.5)^x\\\\ 5= (1.5)^x\\\\log_{1.5}(5) = log_{1.5}(1.5)^x\\\\log_{1.5}(5) = x\\\\x =log_{1.5}(5)\\\\x=3.97\ years$

Observe the solution in the attached graph

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3 years ago

6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7

Firlakuza [10]

Mode is 5 and mean is 6:))

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3 years ago

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