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3 years ago

Simply by using rationalize denominators. 2a^-1/2

1 answer:

8 0

Pemdas, so exponent before multiply
so do a^-1/2 then multiply it by 2

remember that $x^ \frac{m}{n}= \sqrt[n]{x^m}$ and
$x^{-m}= \frac{1}{x^m}$
therefor, $a^ \frac{-1}{2}= \frac{1}{a^ \frac{1}{2} } = \frac{1}{ \sqrt{a} }$
the we multiply by 2

$\frac{2}{ \sqrt{a} }$

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Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notic

Free_Kalibri [48]

The equation for the situation is $y=200(\frac{2}{3})^{x}$

It will take around 9 years for her to have around 5 sheep

Step-by-step explanation:

The exponential decay growth/decay equation is $y=a(b)^{x}$ , where

a is the initial value
b is the growth/decay factor
If b > 1, then it is a growth factor
If 0 < b < 1, then it is a decay factor

Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notices that the population is two-thirds of the previous year

∵ The population is decreased

∴ The equation is decay

∵ The population is two-thirds of the previous year

∴ The decay factor is $\frac{2}{3}$

∵ She starts with an initial 200 sheep

∴ the initial value is 200

∵ The decay equation is $y=a(b)^{x}$ , where y represent the

population in x years

∵ a = 200

∵ b = $\frac{2}{3}$

∴ $y=200(\frac{2}{3})^{x}$

The equation for the situation is $y=200(\frac{2}{3})^{x}$

∵ The population after x years is around 5 sheep

- Substitute y by 5 to find x

∵ $5=200(\frac{2}{3})^{x}$

- Divide both sides by 200

∴ $0.025=(\frac{2}{3})^{x}$

- Insert ㏒ for both sides

∴ $log(0.025)=log(\frac{2}{3})^{x}$

∴ $log(0.025)=xlog(\frac{2}{3})$

- Divide both sides by $log(\frac{2}{3})$

∴ 9.098 = x

∴ x is around 9 years

It will take around 9 years for her to have around 5 sheep

Learn more:

You can learn more about the equation in brainly.com/question/10666510

#LearnwithBrainly

8 0

3 years ago

Each time you add the interior angles of a triangle, the sum is always 180 degrees. Therefore, you conclude that the sum of the

levacccp [35]

Answer:

This explains triangle sum theorem

Step-by-step explanation:

Which States that the sum of interior Anglea of a triaiare always 180°

3 0

3 years ago

Determine the lowest common multiple and highest common factor of 88 and 165

Vesna [10]

Answer: lowestmutliple=1320 highestfactor=11

Step-by-step explanation:

I did some work and calculated this and that's what I got. I hope it's right and I hope it helps! ^w^

6 0

2 years ago

Lucy earns money babysitting. Her earnings and hours worked represent a direct variation. She worked for 4 hours and earned $25.

SashulF [63]

For this case we have that by definition, a direct variation is given in the form:

$y = kx$

Where:

k: It is the constant of proportionality

According to the statement we have to:

$y = 25\\x = 4$

Substituting:

$25 = k4\\k = \frac {25} {4}$ $k = 6.25\ for\ \frac {dollars} {hour}$

On the other hand we have:

$y = 4\\x = 25\\4 = k25\\k = \frac {4} {25}$

$k = 0.16\ for\ \frac {hours} {dollar}$

Answer:

$k = 6.25 for \frac {dollars} {hour}\\k = 0.16 for \frac {hours} {dollar}$

7 0

3 years ago

PLEASE HELP ILL GIVE BRAINLIEST!!List the sides of ∆DEF in order from shortest to longest if m∠D = 20, m∠E = 120, and m∠F = 40.

zvonat [6]

Answer:

In triangle DEF:

Given: $m\angle D = 20^{\circ}$ , $m\angle E= 120^{\circ}$ and $m\angle F = 40^{\circ}$

To list the sides of a triangle in order from shortest to longest.

In the Figure as shown below :

If one of the angle of a triangle is larger than, then the sides opposite the larger angle is longer than the side opposite to the shorter

$m\angle D < m\angle F < \angle E$

$\text{EF} < \text{DE}$

Therefore, the list of the sides of a triangle DEF in order from shortest to longest is, $\text{EF} < \text{DE}$

7 0

3 years ago

Read 2 more answers