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JulijaS [17]
3 years ago
7

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

Mathematics
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:

A

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

so

\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
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