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1 year ago

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A committee must be formed with 3 teachers and 3 students. If there are 10 teachers to choose from, and 9 students, how many dif

ferent ways could the committee be made?

1 answer:

erma4kov [3.2K]1 year ago

7 0

Answer:

i dont know

Step-by-step explanation:

sorry big homie on school

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Find m2ABC.<br> C/ 98°<br> 5x + 2<br> 6x + 8<br> A<br> B

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Answer:

2

Step-by-step explanation:

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2 years ago

True or false? Which one?

ivolga24 [154]

Answer:

true

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Step-by-step explanation:

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2 years ago

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At a local pool club they advocate having 1 lifeguard for every 50 people.

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2 years ago

A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min

sesenic [268]

$A'(t)=(\text{flow rate in})(\text{inflow concentration})-(\text{flow rate out})(\text{outflow concentration})$
$\implies A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\left(2+\sin\dfrac t4\right)\dfrac{\text{lb}}{\text{gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$
$A'(t)+\dfrac1{100}A(t)=6+3\sin\dfrac t4$

We're given that $A(0)=30$ . Multiply both sides by the integrating factor $e^{t/100}$ , then

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$\left(e^{t/100}A(t)\right)'=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$e^{t/100}A(t)=600e^{t/100}-\dfrac{150}{313}e^{t/100}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+C$
$A(t)=600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+Ce^{-t/100}$

Given that $A(0)=30$ , we have

$30=600-\dfrac{150}{313}\cdot25+C\implies C=-\dfrac{174660}{313}\approx-558.02$

so the amount of salt in the tank at time $t$ is

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3 0

2 years ago

Priya has a recipe for banana bread. She uses 7/1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same r

wlad13 [49]

Answer:

5b=2f

Step-by-step explanation:

Priya uses $7\dfrac{1}{2}$ cups of floor to make 3 loaves of banana bread.

Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.

To find the relation between b and f, the steps are as follows :

$\dfrac{\text{cups of flour}}{\text{loaves of banana bread}}=\dfrac{7 \dfrac{1}{2}}{3}\\\\=\dfrac{\dfrac{15}{2}}{3}\\\\=\dfrac{15}{2}\times \dfrac{1}{3}\\\\=\dfrac{5}{2}$

It means,

$\dfrac{f}{b}=\dfrac{5}{2}\\\\5b=2f$

So, the relationship between b and f is "5b=2f".

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2 years ago

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