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Luden [163]
2 years ago
8

Please answer and explain

Mathematics
2 answers:
irina [24]2 years ago
8 0

Answer:

Step-by-step explanation:

4. 5, equation 38-8=35 35divided by 7 is 5

yarga [219]2 years ago
5 0
Uvbbuugvtvttbtntntmyn
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Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

4 0
3 years ago
please help me- this along with the last one and many more are worth a project grade and i need to pass school- quq
Alex

Each person would get \frac{5}{8} pizza.

Solution:

Total quantity of pizza = 1\frac{7}{8}

Number of persons shared = 3

To find how much pizza would each person get:

Let us first convert  improper fraction into mixed fraction.

$1\frac{7}{8}=\frac{1\times8 + 7}{8}=\frac{15}{8}

Now divide the total quantity of pizza by the number persons shared.

$\text{Quantity of pizza each person get}=\frac{(\frac{15}{8}) }{3}

                                                    $=\frac{15}{8\times3}

                                                    $=\frac{15}{24}

Divide both numerator and denominator by 3.

                                                    $=\frac{15\div3}{24\div3}

                                                    $=\frac{5}{8}

Quantity of pizza each person get = \frac{5}{8}

Hence each person would get \frac{5}{8} pizza.

5 0
3 years ago
2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers
UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

\frac{x^3+x^2+x}{x^2+x+1}=x

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that x^3+x^2+x=x(x^2+x+1)

If we replace the factored numerator with the original one, we get:

\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x

Since we have an equality, this relation is proved.

3 0
3 years ago
3 out of 5 picks are orange. If 12 picks are orange, how many picks are there in all
Cloud [144]
There are twenty picks
7 0
3 years ago
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back i
ludmilkaskok [199]
Relative frequency : total number of diamonds / total number of cards drawn = 11/40=0.3

The answer is 30% : C
8 0
3 years ago
Read 2 more answers
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