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2 years ago

Please help. Given formula, just plug it in to find answer.

Mathematics

1 answer:

ahrayia [7]2 years ago

3 0

Step-by-step explanation:

x = 2.5

(2.5 × 0.25 ) + 2= 0.625 +2

= 2.625

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Chang spent $16

alexandr1967 [171]

Answer:

76 percent

Step-by-step explanation:

8 0

3 years ago

Liam has to fill a hole in the ground that is 24 inches deep. He fills the hole at a rate of 6 inches in 30 minutes. Write a fun

kupik [55]

Answer:

The function that models the depth of the hole in feet over time in hours is $h(t) = 24 - 12\cdot t$ .

Step-by-step explanation:

According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

$h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t$ (1)

Where:

$h(t)$ - Current depth of the hole, measured in inches.

$h_{o}$ - Initial depth of the hole, measured in inches.

$\Delta h$ - Filled level, measured in inches.

$\Delta t$ - Filling time, measured in hours.

$t$ - Time, measured in hours.

If we know that $h_{o} = 24\,in$ , $\Delta h = 6\,in$ and $\Delta t = 0.5\,h$ , then the function that models the depth of the hole is:

$h(t) = 24 - 12\cdot t$

The function that models the depth of the hole in feet over time in hours is $h(t) = 24 - 12\cdot t$ .

6 0

3 years ago

How many tens are in 720?

lilavasa [31]

There are 72 tens in 720.

5 0

3 years ago

If $3 million is invested at 6% interest compounded continuously how much will the investment be worth in 35 years

Bogdan [553]

P=$3000000 , r=6% , n=365 and t=35 years

A= 3000000 (1 +0.06/365)³⁶⁵ˣ³⁵
A= 3000000 * 1.000164¹²⁷⁷⁵
A= 3000000 * 8.124858
A= 24374574

A = P+I
2437457.4 =3000000+I
I =2437457.4−3000000
I =21374574

8 0

3 years ago

Start with the logistic equation dx dt kx(M−x). Suppose we modify our harvesting. That is we will only harvest an amount proport

Marina CMI [18]

Answer:

a) dx/dt = kx*(M - h/k - x)

Step-by-step explanation:

Given:

- The harvest differential Equation is:

dx/dt = kx*(M-x)

Suppose that we modify our harvesting. That is we will only harvest an amount proportional to current population.In other words we harvest hx per unit of time for some h > 0

Find:

a) Construct the differential equation.

b) Show that if kM > h, then the equation is still logistic.

c) What happens when kM < h?

Solution:

- The logistic equation with harvesting that is proportional to population is:

dx/dt = kx*(M-x) hx

It can be simplified to:

dx/dt = kx*(M - h/k - x)

- If kM > h, then we can introduce M_n=M -h/k >0, so that:

dx/dt = kx*(M_n - x)

Hence, This equation is logistic because M_n >0

- If kM < h, then M_n <0. There are two critical points x= 0 and x = M_n < 0. Since, kx*(M_n - x) < 0 for all x<0 then the population will tend to zero for all initial conditions

6 0

3 years ago