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4 years ago

What is the expanded form of 3x(x+3)^2?

Mathematics

1 answer:

Ulleksa [173]4 years ago

7 0

Pemdas
exponents first
(x+3)^2=(x+3)(x+3)=x^2+3x+3x+9=x^2+6x+9
multiply
3x(x^2+6x+9)
3x^3+18x^2+27x

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A group consisting of 6 people is to be selected from eight parents and four teachers.

zvonat [6]

Answer:

9/32 or 0.28125

Step-by-step explanation:

8 parents and 4 teachers

There are 12 possible outcomes.

probability = # of favorable outcomes / # of possible outcomes

Let's do the teachers first.

There are 4 teachers, and we are finding the probability for 3 of them being picked.

Therefore,

P = 3/4

Now let's do the parents.

There are 8 parents, and we want 3.

Therefore,

P = 3/8

Now, we do $\frac{3}{4} *\frac{3}{8} = \frac{9}{32}$

Therefore, the chance of 3 teachers and 3 parents being picked out of 4 teachers and 8 parents is 9/32, or in decimal form 0.28125.

Hope this helped!

4 0

3 years ago

The population of a town doubled approximately every 5 years during the first several decades after it was founded. If the origi

zzz [600]

Answer:

624 people

(I put two ways to look at the problem.)

Step-by-step explanation:

What is describe here is an exponential function of the form:

$P=P_0 e^{kt}$

$t$ is the number of years after 1761.

$P_0$ is the initial population.

So t=0 represents year 1761.

t=1 represents year 1762

t=2 represents year 1763

....

t=20 represents year 1781.

So we have the doubling time is 5 years. This means the population will be twice what it was in 5 years. Let's plug this into:

$P=P_0e^{kt}$

$2P_0=P_0e^{k\cdot 5}$

Divide both sides by $P_0$ :

$2=e^{5k}$

Convert to logarithm form:

$5k=\ln(2)$

Multiply both sides by 1/5:

$k=\frac{1}{5}\ln(2)$

$k=\ln(2^{\frac{1}{5}})$ By power rule.

So in the next sentence they actually give us the initial population and we just found k so this is our function for P:

$P=39e^{\ln(2^{\frac{1}{5}})t}$

So now we plug in 20 to find how many residents there were in 1761:

$P=39e^{\ln(2^{\frac{1}{5}})(20)}$

This is surely going to the calculator:

$P=624$

Now if you don't like that, let's try this:

Year 0 we have 39 people.

Year 5 we have 39(2)=78 people.

Year 10 we have 78(2)=156 people.

Year 15 we have 156(2)=312 people.

Year 20 we have 312(2)=624 people.

7 0

3 years ago

Another one I need help in asap

Paha777 [63]

Answer:

Gold : total

35 : 103

Step-by-step explanation:

USA gold = 35

Total usa = 103

Gold : total

35 : 103

4 0

3 years ago

3. Simplify 3 x g x 5 x h

adoni [48]

Answer:

3 into g into 5 into h

in this we will group the term 3 and 5 together and then the g and h

so the answer will be 3 into 5 into g into h = 15gh

7 0

3 years ago

Help me please and thank you (:

pishuonlain [190]

Answer:

Step-by-step explanation:

the rest of the tables have two of the same numbers and it is not a function if it does that.

8 0

3 years ago

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