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nadezda [96]
3 years ago
10

In logic, a condition that must be satisfied for a statement to be true, but does not in and of itself make it true. Sufficient

condition Necessary condition Causality Correlation
Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

Correlation

Step-by-step explanation:

  • This can be explained if we consider the case of correlation as in correlation this condition can arrive where a statement should be satisfied to be true when does not in or make it true itself.
  • Correlation is indicative of the degree to which there is a fluctuation in one more varying values together. The increase or decrease in the value is indicated by the positivity or negativity of the correlation respectively where the correlation itself does not make it true or is true in itself.
  • sufficient and necessary conditions are fulfilled only when one value needs to be true or false for the other to be true or false respectively.
  • Causality also known as causation is  the effectiveness or potency in which one process or a cause, leads to the generation of of another process or an effect, where cause and effect are partially dependent on each other.
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What is the answer to this question
timama [110]

Answer:

b^6z^612a^5

Step-by-step explanation:

The first step is to combine like terms, and multiply them together first. Since multiplication is commutative, it doesn't matter in what order you do it. Therefore, this can be rewritten as (2a^2\cdot 6a^3)\cdot(b^4\cdot b^2)\cdot(z\cdot z^5)=(12a^5)\cdot(b^6)\cdot(z^6)=b^6z^612a^5. Hope this helps!

7 0
3 years ago
Read 2 more answers
Suppose that \nabla f(x,y,z) = 2xyze^{x^2}\mathbf{i} + ze^{x^2}\mathbf{j} + ye^{x^2}\mathbf{k}. if f(0,0,0) = 2, find f(1,1,1).
lesya [120]

The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted C, which we can parameterize by the vector-valued function,

\mathbf r(t)=(1-t)(\mathbf i+\mathbf j+\mathbf k)

for 0\le t\le1, which has differential

\mathrm d\mathbf r=-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt

Then with x(t)=y(t)=z(t)=1-t, we have

\displaystyle\int_{\mathcal C}\nabla f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\nabla f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r

=\displaystyle\int_{t=0}^{t=1}\left(2(1-t)^3e^{(1-t)^2}\,\mathbf i+(1-t)e^{(1-t)^2}\,\mathbf j+(1-t)e^{(1-t)^2}\,\mathbf k\right)\cdot-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt

\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)(t^2-2t+2)\,\mathrm dt

Complete the square in the quadratic term of the integrand: t^2-2t+2=(t-1)^2+1=(1-t)^2+1, then in the integral we substitute u=1-t:

\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)((1-t)^2+1)\,\mathrm dt

\displaystyle=-2\int_{u=0}^{u=1}e^{u^2}u(u^2+1)\,\mathrm du

Make another substitution of v=u^2:

\displaystyle=-\int_{v=0}^{v=1}e^v(v+1)\,\mathrm dv

Integrate by parts, taking

r=v+1\implies\mathrm dr=\mathrm dv

\mathrm ds=e^v\,\mathrm dv\implies s=e^v

\displaystyle=-e^v(v+1)\bigg|_{v=0}^{v=1}+\int_{v=0}^{v=1}e^v\,\mathrm dv

\displaystyle=-(2e-1)+(e-1)=-e

So, we have by the fundamental theorem of calculus that

\displaystyle\int_C\nabla f(x,y,z)\cdot\mathrm d\mathbf r=f(1,1,1)-f(0,0,0)

\implies-e=f(1,1,1)-2

\implies f(1,1,1)=2-e

3 0
3 years ago
Rewrite the following equation in slope-intercept form. x + 5y = -11 Write your answer using integers, proper fractions, and imp
AveGali [126]

Answer:

\displaystyle y = -\frac{x}{5} - 2\frac{1}{5}

Step-by-step explanation:

\displaystyle x + 5y = -11 → 5y = -x - 11 → \frac{5y}{5} = \frac{-x - 11}{5} \\ \\ y = -\frac{1}{5}x - 2\frac{1}{5}

I am joyous to assist you at any time.

7 0
2 years ago
For each fraction, write the equivalent percent. a. 6/100 b. 57/100 c. 357/100 d. 100/100​
ddd [48]

Answer:

(A) 6%

(B) 57%

(C) 357%

(D) 100%

Step-by-step explanation:

(A) 6 / 100 = 6%

(B) 57 / 100 = 57%

(C) 357 / 100 = 357%

(D) 100 / 100 = 100%

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Goshia [24]

Well 1000 for his birthday then subtract 25 each week, w, should be 1000-25w if i am not mistaken.

6 0
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