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3 years ago

15

Determine the number of ways to distribute 10 orange drinks, 1 lemon drink, and 1 lime drink to four thirsty students so that ea

ch student gets at least one drink, and the lemon and lime drinks go to different students.

1 answer:

Thepotemich [5.8K]3 years ago

7 0

Answer:

each student gets 3 drinks, make sure the lemon and lime are in different groupings

Step-by-step explanation:

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Function f(x) represents the population of bacteria x hours after 9 a.m. What does f(2)-f(1) represent?

Kitty [74]

x = number of hours after 9 am (eg: x = 1 means 1 hr after 9 am, so 10 am)

f(x) = population count x hours after 9 am

f(1) = population count at 10 am (1 hour later)

f(2) = population count at 11 am (2 hrs after 9 am)

f(2) - f(1) represents the difference in population counts from 10 am to 11 am, or put another way, how much the population increased during that time interval.

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Answer:

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Step-by-step explanation:

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3 years ago

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Find the distance between two points: (5,3),(8,5)

kozerog [31]

Answer:

$\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}$

<em>OR </em><em>in </em><em>Decimal</em>,

$\boxed{\rm \: Distance=\underline{\underline{3.605}}}$

Step-by-step explanation:

<u>Given:</u>

Two points, that is (5,3) & (8,5)

<u>To Find:</u>

The Distance of the two given points

<u>Solution:</u>

To Find the distance between two points, we will use the <u>distance</u> <u>formula</u>, i.e. :

$\boxed{ \rm \: Distance = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } }$

According to the Question,

$\rightarrow \: \rm \: x_2 = 8$

$\rightarrow \: \rm \: x_1 = 5$

$\rightarrow \: \rm \: y_2 = 5$

$\rightarrow \: \rm \: y_1 = 3$

Now Substitute the values on the formula of Distance and then Simplify:

$\rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} }$

<em>[Follow PEMDAS rule while simplifying]</em>

$\rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} }$

$\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}$

$\rm \: Distance= \sqrt{9 + 4}$

$\rm \: Distance= \sqrt{13}$

$\rm \: Distance= {3.605}$

Hence, the distance between the two given points would be $\sqrt{13}$ or $3.605$ .

$\rule{225pt}{2pt}$

I hope this helps!

Have a good day! :)

<em>[Desmos Graph solution is attached]</em>

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