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professor190 [17]
3 years ago
5

A gold earring has a volume of 0.55cubic centimeters and a mass of 9.9grams. Calculate its density.

Mathematics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

.018 Kg/cm^3

Step-by-step explanation:

p = m \div v \\

Density (P) is equal to the mass (9.9g) divided by volume (.55cm^3)

= 9.9 \div .55

= 18g/cm^3

=.018kg/cm^3

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igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
Is y=x a proportional linear equation
Dmitry [639]

Answer: yes.

Step-by-step explanation:

7 0
3 years ago
Which of the following equations has no real solutions?
kupik [55]
B. 5x - 8 = 40x - 8 has no solution because on the right side we will get 0
6 0
3 years ago
In the equation x + y = 8, find the value of x if y = 3<br><br> 3<br> 5<br> 7<br> 11
snow_lady [41]

Answer:

11

Step-by-step explanation:

x+y=8     y=3

x+3=8

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7 0
3 years ago
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The length of Peter's rectangular living room is 6 meters and the distance between opposite corners is 7 meters. What is the wid
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Answer:

3.6 m

Step-by-step explanation:

Given that :

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From. The diagram attached :

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7 0
3 years ago
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