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4 years ago

Hasil dari 37²-√576:√144 adalah

Mathematics

1 answer:

valina [46]4 years ago

5 0

Answer:

Answer is 1345:12

Step-by-step explanation:

${37 }^{2} - \sqrt{576} = {37}^{2} - 24 \\ = 1345 \\ {37}^{2} - \sqrt{576} : \sqrt{144} = 1345:12$

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Add. 2.9x10^5+8.7x10^5 express your answer in scientific notation. enter answer in boxes __x10__

NNADVOKAT [17]

Simple....

you have:

$2.9* 10^{5} +8.7* 10^{5}$ --->>>

$1.16* 10^{6}$ or in decimal form... 1,160,000.

Thus, your answer.

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3 years ago

Solve the given DE dx/dt=3x+2y+1 dy/dt=-2x-y+1

kirill115 [55]

We can solve for $x(t)$ first by rewriting the system of first-order ODEs as a single second-order ODE in $x(t)$ :

Taking the derivative of the first ODE gives

$\dfrac{\mathrm dx}{\mathrm dt}=3x+2y+1\implies\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}+2\dfrac{\mathrm dy}{\mathrm dt}$

while solving for $2y$ gives

$\dfrac{\mathrm dx}{\mathrm dt}=3x+2y+1\implies2y=\dfrac{\mathrm dx}{\mathrm dt}-3x-1$

Then

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}+2(-2x-y+1)$

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}-4x-2y+2$

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}-4x-\left(\dfrac{\mathrm dx}{\mathrm dt}-3x-1\right)+2$

$\implies\dfrac{\mathrm d^2x}{\mathrm dt^2}-2\dfrac{\mathrm dx}{\mathrm dt}+x=3$

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$x''-2x'+x=0$

has characteristic equation

$r^2-2r+1=(r-1)^2=0$

with root $r=1$ (multiplicity 2), so the characteristic solution is

$x_c=C_1e^t+C_2te^t$

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$x_p=a\implies{x_p}'={x_p}''=0$

Substituting these into the ODE gives

$0-2\cdot0+a=3\implies a=3$

Then the general solution for $x(t)$ is

$\boxed{x(t)=C_1e^t+C_2te^t+3}$

From here, we find

$\dfrac{\mathrm dx}{\mathrm dt}=C_1e^t+C_2(t+1)e^t$

so that

$2y=(C_1e^t+C_2(t+1)e^t)-3(C_1e^t+C_2te^t+3)-1$

$\implies\boxed{y(t)=\left(\dfrac{C_2}2-C_1\right)e^t-C_2te^t-5}$

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4 years ago

Which of the following statements is true?

d1i1m1o1n [39]

C. Lines FB and BA are perpendicular to each other.
[ Look at the sign of Perpendicular ]

Hope this helps!

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3 years ago

What is the probability that a fair die never comes up an even number when it is rolled six times? (note: enter the value of pro

seropon [69]

Let us compute first the probability of ending up an odd number when rolling a dice. A dice has faces with numbers 1 up to 6. The odd numbers within that is 3 (1, 3 and 5). Therefore, each dice has a probability of 3/6 or 1/2. Then, you use the repeated trials formula:

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Therefore, the probability is 1/64 or 1.56%.

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4 years ago

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vladimir1956 [14]

Answer:

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Step-by-step explanation:

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3 years ago

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