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4 years ago

Help me please someone

Mathematics

1 answer:

algol134 years ago

7 0

So basically what you have to do is 6(3)+9

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When records were first kept (t=0), the population of a rural town was 260 people. During the following years, the population gr

Firdavs [7]

Answer:

(a) The population after 15 years is 2678.

(b)Therefore the population P(t) at any time t>0 is

$P(t)= 45t+30 {t^{\frac32}}+260$

Step-by-step explanation:

Given that,

The population grew at a rate of

$P'(t)=45(1+\sqrt t)$

Integrating both sides

$\int P'(t) dt=\int 45(1+\sqrt t)dt$

$\Rightarrow \int P'(t) dt=\int (45+45\sqrt t)dt$

$\Rightarrow \int P'(t) dt=\int 45\ dt+\int 45\sqrt t\ dt$

$\Rightarrow P(t)= 45t+45\ \frac{t^{\frac12+1}}{\frac12+1}+c$ [ c is integration constant]

$\Rightarrow P(t)= 45t+45\ \frac{t^{\frac32}}{\frac32}+c$

$\Rightarrow P(t)= 45t+45\times\frac 23 \times {t^{\frac32}}+c$

$\Rightarrow P(t)= 45t+30 {t^{\frac32}}+c$

When t=0 , P(0)= 260

$\therefore 260= 45\times0+30\times {0^{\frac32}}+c$

$\Rightarrow c=260$

$\therefore P(t)= 45t+30 {t^{\frac32}}+260$

Therefore the population P(t) at any time t>0 is

$P(t)= 45t+30 {t^{\frac32}}+260$

To find the population after 15 years, we need to plug t=15 in the above expression.

$P(15)=( 45\times 15)+30( {15^{\frac32}})+260$

≈2678

The population after 15 years is 2678.

5 0

3 years ago

12-3b<9 in solving the inequalities

Dimas [21]

12 - 3b < 9

12 (-12) - 3b < 9 (-12)

-3b < -3

-3b/-3 < -3/-3

(note when dividing a negative number, flip the inequality sign)

b > 1 is your answer

hope this helps

3 0

3 years ago

8 with a exponent of 2 +7

Lyrx [107]

Answer:

Step-by-step explanation:

8²=64

64+7=71

I hope this helps!

8 0

3 years ago

Read 2 more answers

Is 3[g(x)] = x a linear function?

LenKa [72]

Answer: no

Step-by-step explanation:

Linear functions are straight lines and are also written in the form y=mx+b

7 0

4 years ago

Are the two triangles similar? If so, state the reason and the similarity statement.

ASHA 777 [7]

Answer:

C :)

Step-by-step explanation:

4 0

3 years ago