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3 years ago

The Suarez family travels 70 miles per hour on their family road trip

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

4 0

It’s 490 because u multiply 70x70 equals to 490 also it’s multiplication because it’s per

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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

In a test gender selection technique results consisted of 250 baby girls and 234 boys. Based on this result what is the probabil

Assoli18 [71]

Answer: 125/242

Step-by-step explanation: Probability is favorable outcomes over all outcome, since there were 250+234 total outcome, and 250 were favorable (girls), then the probability is 250/250+234=250/484=125/242

8 0

2 years ago

How many cubic centimeters of water can this paper cone cup hold?

Igoryamba

Answer:

150.72 cubic centimeter

Step-by-step explanation:

Given:-

Height of cone (h) = 9cm

Diameter of cone(d)=8cm

radius of cone(r)= $\frac{d}{2}$ = $\frac{8}{2} =4cm$

To calculate= Volume of cone( $V_{cone}$ )

$Volume\ of\ cone(V_{cone}) =\frac{1}{3} \times \pi \times r^{2} \times h$

$=\frac{1}{3} \times 3.14\times 4^{2} \times 9$

Volume of cone( $V_{cone}$ ) $=150.72\ cubic\ centimeter$

Therefore paper cone cup can hold 150.72 cubic centimeter of water.

5 0

3 years ago

If you roll a six-sided die 6 times what is the best prediction possible for the number okay you were Roll a 2

stepladder [879]

6 i think im not sure

3 0

3 years ago

Read 2 more answers

Can somebody help me with this?????

sergejj [24]

D. You multiply all measurements together. The thickness has nothing to do with how much air will be inside. (: hope this helped ya :)

7 0

2 years ago

Read 2 more answers