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2 years ago

Please help me!!! :(

Mathematics

1 answer:

eduard2 years ago

5 0

Answer:

1. ecologist

2.species

3. population

4.habitat

Step-by-step explanation:

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The seventh grade students are having an end-of-year party in the schoal

NARA [144]

The answer is 125.6 because all you have to do is dived.

3 0

2 years ago

A boy thinks he has discovered a way to drink extra orange juice without alerting his parents. For every cup of orange juice he

mina [271]

Answer:

x=4.8473 cups

Step-by-step explanation:

Concentration of Liquids

It measures the amount of substance present in a mixture, often expressed as %. If there is an volume x of a substance in a total volume mix of y, the concentration is given by

$\displaystyle C=\frac{x}{y}$

It we take a sample of that mixture, we must consider that we are getting only the substance, but all the mixture (assumed it has been uniformly mixed). For example, if we take a glass of liquid from a 80% mixture of juice, the glass will also have a 80% of juice.

Let's solve the problem sequentially. At first, let's assume all the container is full of x cups of juice. Its concentration is 100%. Now let's take 1 cup of pure juice and replace it by 1 cup of pure water. The new amount of juice in the container is

x-1 cups of juice.

The new concentration is

$\displaystyle \frac{x-1}{x}$

The boy takes a second cup of liquid, but this time it's not pure juice, it has a mixture of juice and water with a concentration computed above. Now the amount of juice is

$\displaystyle x-1-\frac{x-1}{x}$ cups of juice.

Simplifying, the cups of juice are

$\displaystyle \frac{\left (x-1\right)^2}{x}$

The new concentration is

$\displaystyle \frac{\left (x-1\right)^2}{x^2}$

For the third time, we now have

$\displaystyle \frac{\left (x-1\right)^2}{x}-\frac{\left (x-1\right)^2}{x^2}$ cups of juice.

Simplifying, the final amount of juice is

$\displaystyle \frac{\left (x-1\right)^3}{x^2}$

And the final concentration is

$\displaystyle \frac{\left (x-1\right)^3}{x^3}$

According to the conditions of the question, this must be equal to 50% (0.5)

$\displaystyle \frac{\left (x-1\right)^3}{x^3}=0.5$

Taking cubic roots

$\displaystyle \sqrt[3]{\frac{\left (x-1\right)^3}{x^3}}=\sqrt[3]{0.5}$

$\displaystyle \frac{\left (x-1\right)}{x}=\sqrt[3]{0.5}$

Operating and joining like terms

$\displaystyle x-\sqrt[3]{0.5}\ x=1$

Solving for x

$\displaystyle x=\frac{1}{1-\sqrt[3]{0.5}}$

$x=4.8473\ cups$

Let's test our result

Final concentration:

$\displaystyle \frac{\left (4.8473-1\right)^3}{4.8473^3}=0.5$

6 0

2 years ago

Write a quadratic equation with the given vertex.

timurjin [86]

Answer:

See below

Step-by-step explanation:

$14. \: vertex \: ( - 4, \: - 3) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 4 - 3)x + ( - 4)( - 3) = 0 \\ {x}^{2} + 7x + 12 = 0 \\ \\ 15. \: vertex \: ( - 2, \: 1) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 2 + 1)x + ( - 2)( 1) = 0 \\ {x}^{2} + x - 2 = 0\\ \\ 16. \: vertex \: ( 3, \: 8) \\ require \: quadratic \: equation \\ {x}^{2} - ( 3 + 8)x + (3)( 8) = 0 \\ {x}^{2} + 11x - 24 = 0$