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2 years ago

Can you multiply by 4 in a geometric sequence?

Mathematics

2 answers:

Free_Kalibri [48]2 years ago

5 0

Yes, because in a geometric sequence, we multiply or divide to get to the next term.

I hope it helps!

$*RosalindCordelia*$

nikdorinn [45]2 years ago

4 0

Hi!

I can help you with joy! :-)

Of course we can multiply by 4 because in a geometric sequence, we multiply or divide to get to the next term.

$*GentleGirlie*$

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Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.

WINSTONCH [101]

Answer:

a) $y(t) = y_{0}e^{4t} + 2$ . It does not have a steady state

b) $y(t) = y_{0}e^{-4t} + 2$ . It has a steady state.

Step-by-step explanation:

a) $y' -4y = -8$

The first step is finding $y_{n}(t)$ . So:

$y' - 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r - 4 = 0$

$r = 4$

So:

$y_{n}(t) = y_{0}e^{4t}$

Since this differential equation has a positive eigenvalue, it does not have a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' -4(y_{p}) = -8$

$(C)' - 4C = -8$

C is a constant, so (C)' = 0.

$-4C = -8$

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{4t} + 2$

b) $y' +4y = 8$

The first step is finding $y_{n}(t)$ . So:

$y' + 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r + 4 =$

$r = -4$

So:

$y_{n}(t) = y_{0}e^{-4t}$

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' +4(y_{p}) = 8$

$(C)' + 4C = 8$

C is a constant, so (C)' = 0.

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{-4t} + 2$

6 0

3 years ago

Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6

Rzqust [24]

Correct Question:

He counts 18 female students, 16 male students, and 6 teachers. There are

720 people in the auditorium. Consider the probability of selecting one person

at random from the auditorium.

Which of these statements are true?

Choose all that apply.

A: The probability of selecting a teacher is 6%.

B : The probability of selecting a student is 85%.

C : The probability of selecting a male student is 32%.

D : The probability of selecting a female student is 45%.

Step-by-step explanation:

Option B and D are correct because

The total number of people in one cross section = 18 + 16 + 6 = 40.

A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %

B = The probability of selecting a male student is = (34/40)x100 = 85%

C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %

D : The probability of selecting a female student is = (18/40)x100= 45%

3 0

2 years ago

A line passes through the points (8,–7) and (6,–3). What is its equation in slope-intercept form?

Verdich [7]

Answer:

Step-by-step explanation:

A line passes through the points (8,–7) and (6,–3). What is its equation in slope-intercept form

4 0

2 years ago

What's 412 divided by 84... Can someone show the work please??

ladessa [460]

412 divide by 84 how many times can 84 go into 412
84 can go into 412, 4 times and four time 84 equals
331, then continue dividing 84 into the number you obtain by sutracting the number before and the   multiple of 84 and x
your answer will be 4.904

3 0

2 years ago

0.7(-c+9)-0.5c<br> i need to rewrite the equation in sinplest terms by the way

Marianna [84]

Answer:

−1.2c+6.3

Step-by-step explanation:

6 0

2 years ago