Ask question

Ask question

All categories

3 years ago

5

12 yards +14 feet by 2

1 answer:

defon3 years ago

7 0

Answer:

25 feet

Step-by-step explanation:

You might be interested in

Need Help ASAP……………..

deff fn [24]

Answer:

Okay, but doesn't this bring any trouble reading?

4 0

3 years ago

Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to t

jeka94

Answer:

$(a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}$

(c) $P(10)\approx 272$

(ii) $P(1000)\approx 26.88 \times 10^{44}\\$

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

$\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)$

(b)

$\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}$

(c)

Suppose the net birthrate of the population is .1, and the initial population is 100.

k=0.1

P(0)=100

Substitution into P(t) gives:

$100=Ce^{kX0}$

C=100

Therefore:

$P(t)=100e^{0.1t}$

(i)When t=10

$P(10)=100e^{0.1 \times 10}\\=271.8\\\approx 272$

(ii)When t=1000

$P(1000)=100e^{0.1 \times 1000}\\=26.88 \times 10^{44}\\$

8 0

4 years ago

Fill out the following chart to find the temperatures for t=12 (noon) and t=24 (midnight).

zhannawk [14.2K]

Answer:

t(12)=40 t(24)=-3.2

Step-by-step explanation:

t(12)=40 because, if you replace 12 with t in the equation, everything but 40 cancels out.

t(24)=-3.2 because, if you plug in 24 for t it will be the same as the first equation where t is 0.

3 0

3 years ago

What is the common monomial factor of the expression 3x²+6x?

miv72 [106K]

Answer:

3x

Step-by-step explanation:

3x²+6x = 3x(x+2)

3 0

4 years ago

The width of a computer monitor is 1.25 times its height. Find the height of the computer monitor when the height is x and the w

Shkiper50 [21]

<span>The width of a computer monitor is 1.25 times its height: w=1.25*h
h=x, w=15in
15=1.25*x, x=15/1.25
x=12in.
</span>

3 0

4 years ago