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Volgvan
3 years ago
10

Are the solutions of the equation x^4+3x^2+2=0 help

Mathematics
1 answer:
alex41 [277]3 years ago
5 0
x^4+3x^2+2=0\\\\\text{substitute}\ x^2=t\\\\t^2+3t+2=0\\\\t^2+t+2t+2=0\\\\t(t+1)+2(t+1)=0\\\\(t+1)(t+2)=0\iff t+1=0\ \vee\ t+2=0\\\\t=-1\ \vee\ t=-2\\\\t=x^2\ \text{therefore}\\\\x^2=-1\ \vee\ x^2=-2\\\\x=\pm\sqrt{-1}\ \vee\ x=\pm\sqrt{-2}\\\\x=\pm i\ \vee\ x=\pm i\sqrt2
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A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain?
kvasek [131]

Answer:

The swimming pool will contain approx 8243\ gal of water.

Step-by-step explanation:

Given the swimming pool is in a cylindrical shape.

And the dimensions are 20\ feet diameter with a height of 3.5\ feet.

Also, 1\ ft^3 =7.5\ gal

First, we will find the volume of the swimming pool.

The swimming pool is in cylindrical shape.

So, the volume would be \pi r^2h

The height (h) is given as 3.5\ feet. To calculate radius (r) we will divide the diameter by two.

The radius of the cylinder would be \frac{20}{2}=10\ feet

Plug these values in the formula we get,

\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3

Now, it is given 1\ ft^3 =7.5\ gal

So, 1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal

The swimming pool will contain approx 8243\ gal of water.

6 0
3 years ago
Margaret makes bracelets and sells them to tourists. the function s(t) approximates how many bracelets margaret makes per hour.
Fantom [35]

The units for the composite function s(w(h)) is <u>bracelets over a week</u> when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.

To define the unit of the composite function s(w(h)), we first need to find the units of the functions s(t) and w(h).

The function s(t)  represents the number of bangles per hour, so its unit will be bangles over an hour.

The function w(h) represents the hours per week spent on making the bracelets, so its unit will be hours over a week.

Now, we can define the unit of the composite function s(w(h)).

To find the unit of the composite function we follow these steps:-

s(w(h)),

= s(hours over a week) {replacing the function w(h) by its units},

= (bangles over an hour(hours over a week)) {replacing the function s(t) with its units},

= bangles over a week {Simplifying}.

Thus, the units for the composite function s(w(h)) is <u>bracelets over a week</u> when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.

Learn more about the units of a composite function at

brainly.com/question/15056566

#SPJ4

4 0
2 years ago
What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
velikii [3]

Answer:

1814400

Step-by-step explanation:

7 0
2 years ago
Lindy puts £ 78 into an account which pays inrerest at a rate of 5% per anum. What will be the simple interest after 6 years .wh
Alika [10]

Answer:

Interest: £23.4

Amount: £101.4

Step-by-step explanation:

6 × 5/100 × 78 = 23.4

Balance: 78 + 23.4 = 101.4

5 0
3 years ago
Read 2 more answers
Find the value of each variables in the parallelogram
xenn [34]

Answer:

A = 28

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Step-by-step explanation:

18 + 10 = 28

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4 0
3 years ago
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