Pre Algebra Decemile 2<br> Y+0.9=1.4=y

sp2606 [1]

27/4
4*6=24
27-24=3
remainder is 3

8 0

3 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

qaws [65]

Answer:

Step-by-step explanation:

Let P be the population of the community

So the population of a community increase at a rate proportional to the number of people present at a time

That is

$\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0$

Solve this equation we get

$p(t)=p_0e^{kt}---(1)$

where p is the present population

p₀ is the initial population

If the initial population as doubled in 5 years

that is time t = 5 years

We get

$2p_o=p_oe^{5k}\\\\e^{5k}=2$

Apply In on both side to get

$Ine^{5k}=In2\\\\5k=In2\\\\k=\frac{In2}{5} \\\\\therefore k=\frac{In2}{5}$

Substitute $k=\frac{In2}{5}$ in $p(t)=p_oe^{kt}$ to get

$\large \boxed {p(t)=p_oe^{\frac{In2}{5}t }}$

Given that population of a community is 9000 at 3 years

substitute t = 3 in ${p(t)=p_oe^{\frac{In2}{5}t }}$

$p(3)=p_oe^{3 (\frac{In2}{5}) }\\\\9000=p_oe^{3 (\frac{In2}{5}) }\\\\p_o=\frac{9000}{e^{3(\frac{In2}{5} )}} \\\\=5937.8$

<h3>Therefore, the initial population is 5937.8</h3>

7 0

3 years ago

PLEASE HELP WILL AWARD 30 POINTS AND WILL MARK BRAINLIEST!!!!

Degger [83]

For part a,y < x y > -2xPoint B: (3,1) plugin x=3, y=1 y < x 1 < 3which is true, so point B satisfies the first inequality.

Not sure... about part C though sorry...

6 0

3 years ago

Read 2 more answers

What is the approximate length of minor arc XZ rounded

allsm [11]

The length of the minor arc is 3.7 meters.

<h3>What is a minor arc?</h3>

An arc of a circle with a measurement of less than or equal to radians is referred to as a minor arc.
A minor arc's length is never greater than 180 degrees.
Arc length = 2πr(θ / 360°) where r is the radius and θ is the central angle of the arc.

Given:

radius = 3 m

central angle ∠XYZ= 70°

Now, calculate the circumference of the circle:

C = 2 π r

C = 2 × 3.14 × 3

C = 18.84 m

The circumferential length establishes a 360° central angle.

The following formula can be used to determine the minor arc's length:

Assume that the minor arc's length is XZ = x.

Now, using proportion

⇒ $\frac{18.84}{360} = \frac{x}{70}$

⇒ 18.84 × 70 = 360x

⇒ x = 1318.8 / 360

⇒ x = 3.66

⇒ x ≅ 3.7 m

To learn more about minor arc visit:

brainly.com/question/3003038

#SPJ9

The complete question is: "Consider circle Y with a radius of 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. 1.8 meters 3.7 meters 15.2 meters 18.8 meters"

6 0

1 year ago

WILL MARK BRAINLIEST - 75 POINTS!!

Tpy6a [65]

Answer:

$(10x-1)^2$