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3 years ago

Write the number 110 as a sum of hundreds and tens

1 answer:

5 0

All you have to do is 100 plus 10 is 110 plus if you need to understand it better you can use base ten blocks use one hundred block and 1 tens block is the same thing. 100 is in one block and 10 is in one tens block. Hope this helped you ( :

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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

Kazeer [188]

Answer:

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

Step-by-step explanation:

The logistic differential equation is as follows:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

In this problem, we have that:

$K = 1200$ , which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that $\frac{dP}{dt} = 400$ when $P = 200$ . With this, we can find r, that is, the growth rate,

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$400 = 200r(1 - \frac{200}{1200})$

$166.67r = 400$

$r = 2.4$

So the differential equation is:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

3 0

3 years ago

Can someone please help me answer this question asap thank you

Marianna [84]

Ross would be the correct answer. To figure it out you would divide 27/3 which is 9 and then 49/7 which is 7. So 9>7.

4 0

3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

bezimeni [28]

Answer:

Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

$t_{m}$ = time taken by motorcycle to travel distance between them

$v_{m}$ = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

$t_{m}$ = d/ $v_{m}$

$t_{m}$ =540/48

$t_{m}$ = 11.25 h

$t_{c}$ = time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

$v_{m}$ = speed of the motorcycle

speed of motorcycle is given as

$v_{m}$ = d/ $t_{m}$

$v_{m}$ = 540/9

$v_{m}$ = 60 mph

when the car and motorcycle move towards each other, the relative speed is given as

v = $v_{m}$ + $v_{c}$

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

7 0

3 years ago

Perform the indicated operation to write given polynomial in standard form: (x+ 2)(2x^2 − 5x+7)

Elan Coil [88]

Answer:

So the expression in standard form will be $2x^3-x^2-3x-14$

Step-by-step explanation:

We have given expression $(x+2)(2x^-5x+7)$

We have to write this expression in standard form

For writing in standard form first we have to multiply the expression

So after multiplication number $(x+2)(2x^2-5x+7)=2x^3-5x^2+7x+4x^2-10x-14=2x^3-x^2-3x-14$

So the expression in standard form will be $2x^3-x^2-3x-14$

5 0

4 years ago

A set of 3 pens costs $1.68. At that unit price, how much would one pen cost?

Tanzania [10]

Answer:

$.56

Step-by-step explanation:

To find the cost of one pen, take the total cost and divide by the number of pens

$1.68/ 3

$.56 per pen

8 0

2 years ago