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slavikrds [6]
3 years ago
6

If a residual is large and negative what does it mean

Mathematics
1 answer:
klasskru [66]3 years ago
4 0
 it means the actual value was LESS than the predicted value. 
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What is 29 is 6 more than k
andreev551 [17]

Answer:

29 = 6 + k

k = 23

Step-by-step explanation:

The equation for that would be:

29 = 6 + k

and the answer would be:

29 = 6 + k

-6   -6

23 = k

k = 23

6 0
3 years ago
Please help me with the below question.
Snezhnost [94]

6a. By the convolution theorem,

L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}

6b. Similarly,

L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}

7. Take the Laplace transform of both sides, noting that the integral is the convolution of e^t and f(t).

\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau

\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)

where g(t) = e^t. Then G(s) = \frac1{s-1}, and

F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}

We have the partial fraction decomposition,

\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)

Then we can easily compute the inverse transform to solve for f(t) :

F(s) = -\dfrac1s + \dfrac4{s+3}

\implies \boxed{f(t) = -1 + 4e^{-3t}}

6 0
1 year ago
What is the value of x? Show work.
ella [17]

Answer:

x=5

Step-by-step explanation:

This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:

12+40=2(8x+10)

12+40=16x+20

20=4x

x=5

5 0
3 years ago
Solve 5x 2 - 7x + 2 = 0 by completing the square. What are the solutions?
Alexeev081 [22]

Answer:

x=\frac{2}{5} or x=1

Step-by-step explanation:

The given quadratic equation is

5x^2-7x+2=0

Group the constant terms on the right hand side.

5x^2-7x=0-2

5x^2-7x=-2

Divide through by 5.

x^2-\frac{7}{5}x=-\frac{2}{5}

Add the square of half the coefficient of x., which is (\frac{1}{2}\times- \frac{7}{5})^2=\frac{49}{100} to both sides of the equation.

x^2-\frac{7}{5}x+\frac{49}{100}=-\frac{2}{5}+\frac{49}{100}

The left hand side is now a perfect square.

(x-\frac{7}{10})^2=\frac{9}{100}

Take the square root of both sides;

(x-\frac{7}{10})=\pm \sqrt{\frac{9}{100}}

x-\frac{7}{10}=\pm \frac{3}{10}

x=\frac{7}{10}\pm \frac{3}{10}

x=\frac{7-3}{10} or x=\frac{7+3}{10}

x=\frac{4}{10} or x=\frac{10}{10}

x=1 or x=\frac{2}{5}

5 0
3 years ago
Read 2 more answers
Ms Patil bought 4 packs of pencils for her class.Then she bought 3 more packs of pencils. There are 12 pencils in a pack. How ma
Sedaia [141]
Total of 7 packs. 12 pencils in a pack. 7x12 = 84
4 0
3 years ago
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