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3 years ago

Part A

Mathematics

1 answer:

ozzi3 years ago

3 0

Answer:

As the sucrose concentration is higher in the solution, the water in the balloon, where the sucrose is less concentrated, will tend to leave and try to dilute the outer solution until both sucrose concentrations are equal. But as the water leaves the balloon, the concentration inside will increase, so it will flow outside until both concentrations are equal and not until the outer concentration is similar to the initial concentration in the balloon.

Step-by-step explanation:

Hope this helps:)

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Solve -3x2 + 30x - 90 = 0.

FrozenT [24]

$-3x^{2}+30x-90=0 \\ \\ x^{2}-10x+30=0 \\ \\ \Delta=(-10)^{2}-4*1*30=100-20=-20 \\ \\ \sqrt{\Delta}= \sqrt{-20}=i \sqrt{20} =2i \sqrt{5} \\ \\ x_{1}= \frac{10-2i \sqrt{5} }{2} = 5-i \sqrt{5} \\ \\ x_{2}= \frac{10+2i \sqrt{5} }{2} = 5+i \sqrt{5}$

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4 years ago

Penny gets paid $12 per hour to work at the coffee shop: The amount of money she earns depends on the number of hours she works.

prisoha [69]

Answer:

B- The dependent variable is the amount of money she earns, and the independent variable is the number of hours she works.

Step-by-step explanation:

The amount of money she earns depends on how many hours she works, making that the dependant variable.

6 0

3 years ago

Is 10/5 rational or irrational?

Citrus2011 [14]

Answer:

10/5 is irrational

3 0

3 years ago

Read 2 more answers

Given that f(x)=2x+2 evaluate f(1)+f(5)

Svetlanka [38]

Answer:

Step-by-step explanation:

To solve this, you need to evaluate the function at f(1), which just means that you have to plug in 1 for any x you see in the equation. For example, here f(1) = 2(1) + 2 which simplifies to 4. Next find f(5). By doing the same process you will find that this is 12. The problem asks for f(1) + f(5) so by putting those values in you will get 4+12=16. Hope this helps! :)

8 0

3 years ago

Read 2 more answers

The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is

Rasek [7]

Answer:

The other rational number in the operation given is:

<u>6/5</u>

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

r * 15/14 = 9/7

Where:

r = the other rational number.

Now we are going to solve r to identify its value in numbers:

r * 15/14 = 9/7

$r = \frac{\frac{9}{7} }{\frac{15}{14}}$ (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)

$r = \frac{6}{5}$

As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

r * 15/14 = 9/7
6/5 * 15/14 = 9/7
9/7 = 9/7

In this form, we know the result is correct.

8 0

4 years ago