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Genrish500 [490]

3 years ago

7

Please help me with this

1 answer:

cupoosta [38]3 years ago

5 0

Can you please write what the question is? I need to know what the category is to figure out which one does not belong.

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D/5 = 4 please explain I do not get this. Thank you

MAXImum [283]

<span>D/5 = 4
Multiply 5 on both sides
Final Answer: D = 20</span>

8 0

3 years ago

There are 12 inches in one foot, creating the equation y=12x If a door frame is 5.75 feet tall, how many inches tall is it?

Neko [114]

There are 69 inches in 5.75 feet.

8 0

3 years ago

Can someone please help?

goldfiish [28.3K]

Answer:

a. max. 25c. min.13c

b. 2:00

Step-by-step explanation:

6 0

3 years ago

Consider a rabbit population P(t) satisfying the logistic equation StartFraction dP Over dt EndFraction equals aP minus bP squa

maria [59]

Solution:

Given :

$\frac{dP}{dt}= aP-bP^2$ .............(1)

where, B = aP = birth rate

D = $bP^2$ = death rate

Now initial population at t = 0, we have

$P_0$ = 220 , $B_0$ = 9 , $D_0$ = 15

Now equation (1) can be written as :

$\frac{dP}{dt}=P(a-bP)$

$\frac{dP}{dt}=bP(\frac{a}{b}-P)$ .................(2)

Now this equation is similar to the logistic differential equation which is ,

$\frac{dP}{dt}=kP(M-P)$

where M = limiting population / carrying capacity

This gives us M = a/b

Now we can find the value of a and b at t=0 and substitute for M

$a_0=\frac{B_0}{P_0}$ and $b_0=\frac{D_0}{P_0^2}$

So, $M=\frac{B_0P_0}{D_0}$

= $\frac{9 \times 220}{15}$

= 132

Now from equation (2), we get the constants

k = b = $\frac{D_0}{P_0^2} = \frac{15}{220^2}$

= $\frac{3}{9680}$

The population P(t) from logistic equation is calculated by :

$P(t)= \frac{MP_0}{P_0+(M-P_0)e^{-kMt}}$

$P(t)= \frac{132 \times 220}{220+(132-220)e^{-\frac{3}{9680} \times132t}}$

$P(t)= \frac{29040}{220-88e^{-\frac{396}{9680} t}}$

As per question, P(t) = 110% of M

$\frac{110}{100} \times 132= \frac{29040}{220-88e^{\frac{-396}{9680} t}}$

$220-88e^{\frac{-99}{2420} t}=200$

$e^{\frac{-99}{2420} t}=\frac{5}{22}$

Now taking natural logs on both the sides we get

t = 36.216

Number of months = 36.216

8 0

4 years ago

Solve the following inequality.

user100 [1]

Answer:

A

Step-by-step explanation:

Given

21 ≤ - 3(x - 4) < 30 ← divide all 3 intervals by - 3

Remembering to reverse the direction of the signs as a result of dividing by a negative quantity

- 7 ≥ x - 4 > - 10 ← add 4 to each interval

- 3 ≥ x > - 6, that is

- 6 < x ≤ - 3 → A

5 0

3 years ago