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3 years ago

Describe a situation when you might not want to clear fractions in an equation.

1 answer:

Studentka2010 [4]3 years ago

3 0

Well, to get rid of them, you would have to add or subtract that fraction to both sides of the equation (making them still equal to each other), so it would just get too complicated to completely get rid of a fraction. That is, if you don't need to.

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,

Alika [10]

The population of the moose after 12 years is 7692

Step-by-step explanation:

The form of the exponential growth function is $y=a(b)^{x}$ , where

a is the initial value
b is the growth factor

The table:

→ x : y

→ 0 : 40

→ 1 : 62

→ 2 : 96

→ 3 : 149

→ 4 : 231

To find the value of a , b in the equation use the data in the table

∵ At x = 0 , y = 40

- Substitute them in the form of the equation above

∵ $40=a(b)^{0}$

- Remember any number to the power of zero is 1 (except 0)

∴ 40 = a(1)

∴ a = 40

- Substitute the value of a in the equation

∴ $y=40(b)^{x}$

∵ At x = 1 , y = 62

- Substitute them in the form of the equation above

∵ $62=40(b)^{1}$

∴ 62 = 40 b

- Divide both sides by 40

∴ 1.55 ≅ b

∴ The growth factor is about 1.55

- Substitute its value in the equation

∴ The equation of the population is $y=40(1.55)^{x}$

To find the population of moose after 12 years substitute x by 12 in the equation

∵ $y=40(1.55)^{12}$

∴ y ≅ 7692

The population of the moose after 12 years is 7692

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

7 0

3 years ago

Find the product in simplest form.

Nookie1986 [14]

The answer is D: 12

20 x 3 = 60
60 / 5 = 12

7 0

3 years ago

Read 2 more answers

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied y

ioda

Answer:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

$s= \sqrt{856849.7}=925.662$

Step-by-step explanation:

For this case we can create the following table

Interval Frequency (f) Midpoint(xi) xi *f xi^2* f

0-499 9 249.5 2245.5 560252.3

500-999 13 749.5 9743.5 7302753

1000-1499 33 1249.5 41233.5 51521258.25

1500-1999 115 1749.5 201193.5 361986278.8

2000-2499 125 2249.5 281187.5 632531281.3

2500-2999 81 2749.5 222709.5 612339770.3

3000-3499 47 3249.5 152726.5 496284761.8

3500-3999 45 3749.5 168727.5 632643761.3

4000-4499 22 4249.5 93489 397281505.5

4500-4999 10 4749.5 47495 225577502.5

Total 500 1220750 3408029125

$\sum f_i = 500 , \sum x_i f_i = 1220750, \sum x^2_i f_i = 3408029125$

For this case we can calculate the sample mean with this formula:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

And for the sample variance we can use the following formula:

$s^2= \frac{\sum x^2_i f_i - \frac{(\sum x_i f_i)^2}{n}}{n-1}$

And if we replace we got:

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

And the deviation is just the square root of the sample variance and for this case is:

$s= \sqrt{856849.7}=925.662$

4 0

3 years ago

What is the exact value of sin (165 degrees)

anygoal [31]

Answer:

Step-by-step explanation:

Think of a value on the unit circle that is double of 165.

330 is that so we can use the double Angle Identity

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} }$

Alpha is 330

$\sin(165) = \sqrt{ \frac{1 - \cos(330) }{2} }$

$\sin(165) = \sqrt{ \frac{1 - \frac{ \sqrt{3} }{2} }{2} }$

$\sin(165) = \sqrt{ \frac{ \frac{2 - \sqrt{3} }{2} }{2} }$

$\sin(165) = \sqrt{ \frac{2 - \sqrt{3} }{4} }$

$\sin(165) = \frac{ \sqrt{2 - \sqrt{3} } }{2}$

4 0

2 years ago

The arc lenght of pi over 3 and 10m

ziro4ka [17]

$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=10\\
\theta =\frac{\pi }{3}
\end{cases}\implies s=10\cdot \cfrac{\pi }{3}\implies s=\cfrac{10\pi }{3}$

5 0

3 years ago