Which of the following values have 3 significant figures? Check all that apply.

Help please it’s geometry

kati45 [8]

A is simple radical form is 55

5 0

2 years ago

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:

$y_{p}(t) = C$

So

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

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

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:

$y_{p}(t) = C$

So

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

$(C)' + 4C = 8$

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

Which fraction is in reduced form?

kompoz [17]

Answer:

C 5/13

Step-by-step explanation:

A fraction is written in reduced form if there are no common factors in the numerator and denominator. Since you know your multiplication tables, you can easily identify the common factors:

A 20 = 5·4, so 4 is a common factor 4/(4·5) = 1/5

B 6 = 2·3, 9 = 3·3, so 3 is a common factor (2·3)/(3·3) = 2/3

C 13 is not a multiple of the prime number 5, so there are no common factors. 5/13 is a reduced fraction

D 14 = 2·7, 21 = 3·7, so 7 is a common factor (2·7)/(3·7) = 2/3

8 0

3 years ago

Four times the lesser of two consecutive even integers is 12 less than twice the greater number. Find the integers.

valkas [14]

The numbers are: 2n and (2n+2)
we can suggest this equation:
4(2n)=2(2n+2)-12

We compute this equation:
8n=4n+4-12
8n-4n=-8
4n=-8
n=-8/4
n=-2

we compute the numbers:
2n=2(-2)=-4
2n+2=-4+2=-2

answer: the numbers are -4 and -2.

5 0

3 years ago

All changes saved

slamgirl [31]

Your answer would be :A

Explanation: He claims to have had 9 sales “per day” for the week. When really it was only for 2 days. That being Thursday and Tuesday! The Mode number of the sales is 9; which is only higher from most of the days.

I hope this helps. Let me know if I am wrong plz. It’s 1 in the morning for me right now. Lol Have a blessed day bud.

4 0

3 years ago