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Genrish500 [490]
3 years ago
13

A data set has a variance of 88.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0
A standard deviance is equal to the square root of the variance, in the end the correct answer is just about 9.4
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Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(
Temka [501]
The particular quadratic solution to the ODE is found as follows:

x=at^2+bt+c
x'=2at+b

(2at+b)+2(at^2+bt+c)=t^2+4t+7
2at^2+(2a+2b)t+(b+2c)=t^2+4t+7

\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

x'+2x=0\implies r+2=0\implies r=-2

so that x_c=Ce^{-2t} is a characteristic solution to the ODE, and the general solution would be

x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4
4 0
4 years ago
Find the smallest whole number that has exactly 12 factors
alina1380 [7]
The anwser is 60 ya...
8 0
3 years ago
The age of the Hawaiian islands gets older as you move from east to west. If the half-life of K-40 is 1.3 billion years, approxi
Mumz [18]

Answer:

t \approx 750550.12\,yr

Step-by-step explanation:

The time constant of the isotope is:

\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}

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The decay of the isotope is described by the following model:

\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }

Now, the time is cleared in the equation:

t = -\tau \cdot \ln \frac{m}{m_{o}}

t = - (1.876\times 10^{9}\,yr)\cdot \ln 0.9996

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5 0
4 years ago
Which of these strategies would eliminate a variable in the system of equations?
Lubov Fominskaja [6]

Answer:

B

Step-by-step explanation:

2x-5y=13.........(1) × 3

-3x+2y=13.......(2) × 2

6x - 15y = 39

-6x + 4y = 26

Adding

6x - 6x - 15y + 4y = 13 + 13

5 0
4 years ago
Read 2 more answers
Maths question in jpg file
hoa [83]

Answer:

5*2+1/2*-2

11/2*-2

-11

Step-by-step explanation:

8 0
3 years ago
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