2(3x-5)<4x+6 as a word problem

A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 500 deer.

rewona [7]

Answer:

p1 = 70 deer

p2 = 98 deer

Step-by-step explanation:

We use the population growth expression:

$N(t)=N_0\,(1+r)^t$

which in our case renders:

$N(t)=N_0\,(1+r)^t\\N(t)=50\,(1+0.4) ^t\\N(t)=50\,(1.4) ^t$

Therefore, after 1 year the population would be:

$N(1)=50\,(1.4) ^1=70$

giving a total of 70 deer

and after two years, it would be:

$N(2)=50\,(1.4) ^2=98$

8 0

3 years ago

Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work

Alona [7]

Answer:

$1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x$

2) D: x = [0, 24]

3) R: y = [0, 384]

4) see graph

<u>Step-by-step explanation:</u>

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x for 0 ≤ x < 9

Eric's overtime wage is $18 per hour for 9 hours and greater.

The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).

f(x) = 18(x - 8) + 12(8)

= 18x - 144 + 96

= 18x - 48 for 9 ≤ x ≤ 24

The daily wage where x represents the number of hours worked can be displayed in function format as follows:

$f(x)=\bigg\{\begin{array}{ll}12x&0\leq x$

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D: 0 ≤ x ≤ 24 → D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

= 0

The maximum hours he can work in one day is 24 <em>(although unlikely, it is theoretically possible).</em>

f(x) = 18x - 48

f(24) = 18(24) - 48

= 432 - 48

= 384

D: 0 ≤ y ≤ 384 → D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

4 0

3 years ago

Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph and the c

Korvikt [17]

Set 500 to sum of distances traveled by both cars.
$55t + 60t = 500 \\ 115t = 500 \\ t = (500/115) = 4.3$

4 0

3 years ago

Say youre going to conduct a t procedure for the difference between the means of two populations. You decide the samples of size

stiv31 [10]

Answer:

all 3 are correct.

I

II

III

you're welcome

6 0

3 years ago

Find the circumference of a circle that has a 25-inch radius. Use 3.14 to approximate π.

Sergio [31]

$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\:Important\: point's }}}$

➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).
➣ Circumference:- The line that bounds a circle or other two-dimensional figure

${ \rule{70mm}{2.9pt}}$

★ also circumference of a circle is also known as it's perimeter

➣To find circumference of circle when use formula

${ \boxed{✜\underline{ \boxed{ \sf{\: Circumference \: of \: circle= \: 2\pi \: r}}}✜}}$

➢ r = radius (25inch.)
➢ value of π is 3.14

${ \rule{70mm}{2.9pt}}$

$\large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}$

$\sf{➛ \: Circumference \: of \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference \: of \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference \: of \: circle =157inch}$

★ Hence circumference of circle=157inch

$\large\underline{ \boxed{ \sf{➪\:157inch. }}}$

${ \rule{70mm}{2.9pt}}$

Hope it helps !

4 0

2 years ago