What is 56/100 in its simplest form

An animal reserve has 40000 elk if the population is increasing at a rate of 19% per year how long will it take for the populati

vekshin1

Answer:

Step-by-step explanation:

This is of the form

$P(t)=a(b)^t$

Where P(t) is the ending population, a is the original population, b is the growth rate, and t is time in years. We have everything we need to solve for t.

$80000=40000(1.19)^t$

Let me explain the growth rate quickly. If the exponential function is a growth function, that means (in this particular situation) that we have 100% of the population and we are increasing it by 19%. That makes the growth rate 119%, which in decimal form is 1.19.

Begin by dividing both sides by 40000 to get

$2=(1.19)^t$

To get that t out of its current exponential position, take the natural log of both sides:

$ln(2)=ln(1.19)^t$

and the rules of logs say we can bring the exponent down out front:

ln(2) = t*ln(1.19)

Divide both sides by ln(1.19) to get t alone:

$\frac{ln(2)}{ln(1.19)}=t$

Doing that calculation on your calculator gives you that

t = 3.9846...

but rounding to the nearest tenth gives you that

t = 4.0 years

3 0

3 years ago

Find the length of an arc of 40° in a circle with an 8 inch radius.

lora16 [44]

The length of an arc is the fraction of its circumference based on the given intercepted angle. This is given by the equation,
L (arc) = (Angle / 360) x 2πr
Substituting the known values,
L (arc) = (40 / 360) x 2π(8 inch) = 16π/9 inch
Thus, the length of the arc is approximately equal to 5.585 inches.

7 0

3 years ago

Read 2 more answers

Rotations Please help me.

Trava [24]

Answer:

see attached

Step-by-step explanation:

You can do these yourself fairly easily. Copy the figure and the coordinate axes onto a piece of tracing paper (tissue paper or even facial tissue will work, too), then rotate the copied figure 90° clockwise.

Line up the origin of the axes and make sure the axes you drew line up with the ones on the original figure. For 90° clockwise rotation, what was the +y axis will now align with the +x axis. Copy the rotated figure from the tracing paper back to the graph on your problem page in its new location. (You can cut out the figure, if necessary. Just be sure to make note of the position relative to the axes.)

This sort of physical activity reinforces the thinking you need to do to mentally rotate the figures. It is worth the effort.

7 0

2 years ago

2(5-8x-9x)+4(7x+7)=14

xenn [34]

Step-by-step explanation:

if you are solving for X' it is X=4

8 0

2 years ago

Matching quantities with units

Mrrafil [7]

Answer:

1. Volume = length x width x height => cubic centimetres.

2. Perimeter = 2(length) + 2(width) => metres.

3. Speed = Distance /time => metres per second.

4. Area = length x width => square metres.

Step-by-step explanation:

1. Volume = length x width x height

If the length, width and height are measured in centimetre (cm) , then, the unit of the volume will be:

Volume = cm x cm xcm = cm3 i.e cubic centimetres.

2. Perimeter = 2(length) + 2(width)

If the length and width are measured in meter (m), then, the unit of the perimeter will also be in metre (m).

3. Speed = Distance /time

If the unit of distance is measured in metre (m) and the time is measured in second (s), then , the unit of the speed will be:

Speed = Distance /time = m/s i.e metres per second.

4. Area = length x width

If the length and width are measured in metres (m), then, the unit of the area will be:

Area = m x m = m2 i.e square metres

8 0

2 years ago