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3 years ago

Simplify 4√32 A. 4√8 B. 16√2 C. 8√2 D. 24

1 answer:

4 0

$4\sqrt{32} =\\\\ 4\sqrt{16\times 2} =\\\\4\sqrt{16}\times \sqrt{2} =\\\\ 4\times 4\times \sqrt{2} =\\\\\ 16\times \sqrt{2}=\\\\ 16\sqrt{2}$

Your final answer is B.

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The formula Upper A equals 23.1 e Superscript 0.0152 tA=23.1e0.0152t models the population of a US state, A, in millions, t ye

Wewaii [24]

Answer:

a) $A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1$

b) $t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years$

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

Step-by-step explanation:

For this case we assume the following model:

$A(t)= 23.1 e^{0.0152 t}$

Where t is the number of years after 2000/

Part a

For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:

$A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1$

So then the initial population at year 2000 is 23.1 million of people.

Part b

For this case we want to find the time t whn the population is 28.3 million.

So we need to solve this equation:

$28.3= 23.1 e^{0.0152(t)}$

We can divide both sides by 23.1 and we got:

$\frac{28.3}{23.1}= e^{0.0152t}$

Now we can apply natural log on both sides and we got:

$ln(\frac{28.3}{23.1})= 0.0152 t$

And then for t we got:

$t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years$

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

3 0

3 years ago

A rug shaped like a rectangle is 2.5 meters long and 1.8 meters wide what is the perimeter in meters of the rug

Novosadov [1.4K]

Answer:

P = 8.6 m

Step-by-step explanation:

Given that,

The length of a rectangle = 2.5 m

The width of a rectangle = 1.8 m

We need to find the perimeter of the rug. The perimeter of a rectangle is given by :

P=2(l+b)

= 2(2.5+1.8)

= 8.6 m

So, the perimeter of the rug is 8.6 m.

6 0

2 years ago

Am I right if not then please tell me!

pishuonlain [190]

<h2>Answer:</h2><h2>slope or m is equal to 2/3</h2><h2></h2><h2>Hope this helps!!</h2>

5 0

3 years ago

Read 2 more answers

Ana ganha 1200,00 reais em seu trabalho, se ela gastar um quinto em comida e dois terços do que sobrar em aluguel, quanto sobra,

lidiya [134]

Answer:

Ana fica com a quantia de 560

Step-by-step explanation:

Dado

Ana ganha = 1200

Ela gasta um quinto com comida e dois terços do que resta com o aluguel

Valor que sobrou com Ana depois de gastar com comida e aluguel

1200 - 1/5 (1200) - 1/3 (1200)

1200 - 240 -400

1200 -640

560

Ana fica com a quantia de 560

3 0

2 years ago

Which relation is a function?

Oksanka [162]

It’s B because the domain(x) doesn’t repeat like the other options.

5 0

2 years ago