Estimate the quotient of 250.311 ÷ 4.65.

At a certain school,5/9 of the students are boys. Today, 2/3 of the boys brought their lunch. What fraction of the students are

Elodia [21]

5/6 of the boys brought their lunch.

In order to determine the answer you need to divide 5/9 by 2/3 in which will give you 5/6.

4 0

3 years ago

The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a

LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

$dP/dt=P(aP-b)$

$dP=P(aP-b)dt$

$1/(dP^2-bP)dP=dt$

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

$1/(d-b/P)\cdot{P^2} dP$

let

$u=d-b/P$

$du/dP=b/P^2$

$dP=$ $\int\limits {P^2/b} \, du$

$P=lnu/b$

Substitute u in:

$P=ln(d-b/P)/b$

Therefore the equation is:

$ln(d-b/P)/b=t$

We simplify:

$d-b/P=e^b^t$

$P=b/(d-e^b^t)$

As t increases to infinity P will decrease

6 0

3 years ago

18 Andy flies from the UK to Japan.

kotykmax [81]

Answer:

Leila pays more than Andy to fly from the UK to Australia.

Step-by-step explanation:

Given:

Andy flies from the UK to Japan.

His plane ticket costs £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

Leila flies from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

Now, to find Andy or Leila who pays more to fly from the UK to Australia.

Andy flies from the UK to Japan.

His plane ticket costs = £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

So, by using conversion factor we convert Japanese Yen to £.

140 = £1

70140 = $70140\div 140=\£501.$

His plane ticket costs = £501.

Now, adding both the cost of tickets:

$501+554=\£1055.$

Andy total pays fly from the UK to Australia is £1055.

Now, to get the cost of plane ticket of Leila from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

So, by using conversion factor:

1 Australian dollar = £0.62

1860 Australian dollar = $1860\times 0.62=\£1153.2$

Her plane ticket costs is £1153.2.

As, we see that cost of plane ticket of Andy is £1055 and cost of plane ticket of Leila is £1153.2.

Thus, Leila pays more.

Therefore, Leila pays more than Andy to fly from the UK to Australia.

4 0

3 years ago

Find the coordinates of point P on →AB that partitions the segment into the given ratio AP to PB .

marysya [2.9K]

The line segment AB is divided at point P, which has coordinates P(0,-7.5)

A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.

Given are,

A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively

Two minor line segments, AP and PB, are created from the line segment AB by the provided point P

We must determine the dividing point's coordinates, or P.

We'll apply the formula provided,

The coordinates of the point P are given by = ( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0

Putting values in the formula, we get

( $\frac{0+0}{2}$ , $\frac{0-15}{2}$ )

(0,-7.5)

Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)

To learn more about Line Segment, here

brainly.com/question/25727583

#SPJ4

6 0

1 year ago

A boat costs $14,000 and decreases in value by 5% per year. How much will the boat be worth after 3 years?

kati45 [8]

Answer:

$12,003.25.

Step-by-step explanation:

The boat's values after each year is $14,000 * (100-5)%, so

the equation is A = 14000(0.95)^3

= $12,003.25.

8 0

3 years ago