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3 years ago

Please help. giving 100 points to whoever gives me a correct answer

Mathematics

2 answers:

dlinn [17]3 years ago

8 0

Answer:800 dived by 10,000= 8

800 divided by 802= not sure

i dont know the rest hope that helped

Step-by-step explanation:

sineoko [7]3 years ago

4 0

hold on give me a sec please

Step-by-step explanation:

and thank you

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The ratio of fishing boats to sailboats in a bay is 8:3. There are a total of 24 sailboats in the bay. How many fishing boats ar

lianna [129]

Answer:

The number of fishing boats in the bay = 64.

Step-by-step explanation:

The total number of sailboats = 24

Let us assume the number if fishing boats in the bay = m

⇒ Ratio of fishing boats to sailboats in a bay = m : 24.

Now, the ratio of fishing boats to sailboats in a bay is 8 : 3.

So, by the RATIO OF PROPORTION:

$\frac{m}{24} = \frac{8}{3} \implies m = \frac{8}{3} \times 24 = 64$

⇒ m = 64

Hence the number of fishing boats in the bay = 64.

6 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:

$y_{p}(t) = C$

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

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

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

It says use cofunction but still i didnt understand

torisob [31]

Answer:

- $\frac{\pi }{22\\}$

Step-by-step explanation:

$\frac{5\pi }{11}$ -pi/2

5 0

3 years ago

Which expression is equivalent to 6 - (-2)? -6 + 2 -6 - 2 6+2 6-2

Sveta_85 [38]

Answer:

6+2

Step-by-step explanation:

$6 - ( - 2)$

Distribute the negative in.

Negative Multiply Negative must equal Positive.

$6 + 2$

7 0

2 years ago

Read 2 more answers

Complete the following exercises by applying polynomial identities to complex numbers.

erik [133]

1.)

=(x-8i)(x+8i)

x^2+8ix-8ix-64i^2

x^2-64i^2

x^2-64(-1)

x^2+64

2.)

=(4x-7i)(4x+7i)

16x^2+28ix-28ix-49i^2

16x^2-49i^2

16x^2-49(-1)

16x^2+49

3.)

=(x+9i)(x+9i)

x^2+9ix+9ix+81i^2

x^2+18ix+81(-1)

x^2+18ix-81

4.)

=(x-2i)(x-2i)

x^2-2ix-2ix+4i^2

x^2-4ix+4(-1)

x^2-4ix-4

5.)

=[x+(3+5i)]^2

(x+5i+3)^2

(x+5i+3)(x+5i+3)

x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9

x^2+6x+10ix+30i+25i^2+9

x^2+6x+10ix+30i+25(-1)+9

x^2+6x+10ix+30i-25+9

x^2+6x+10ix+30i-16

Hope this helps :)

6 0

3 years ago