All categories

3 years ago

The mathematical expression 2 ∈ V means:

Mathematics

2 answers:

rodikova [14]3 years ago

7 0

If so then 2 is an element of set V. By writing it as 2eV it means 2 electron volts.

Klio2033 [76]3 years ago

5 0

<h2>Answer:</h2>

The mathematical expression 2 ∈ V means that:

2 is an element of set V.

<h2>Step-by-step explanation:</h2>

We know that for any set A with elements as:

A={a,b,c,d}

We see that that the element a,b,c and d all belongs to the set A and is represented by the symbol:

a ∈ A, b ∈ A , c ∈ A and d ∈ A

i.e. they represent that the element is contained in that set.

Here we 2 ∈ V

This means for a set V of elements.

The element 2 belongs to the set.

i.e. it is a member of the set.

You might be interested in

Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.

sergij07 [2.7K]

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1$

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

$\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1$

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

$\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678$

5 0

2 years ago

How long will it take a seal swimming at a speed of 8 miles per hour to travel 52 miles

Olin [163]

$8\ miles\ per\ 1\ hour\\
52\ miles\ per\ x\ hour\\\\
proportion:\\
8-1\\52-x\\\\cross\ multiplication\\\\
8x=52\ \ \ | divide\ by\ 8\\\\
x=6.5\\\\
It\ will\ take\ 6.5\ hours.$

7 0

2 years ago

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,

ololo11 [35]

Answer:

From the graph attached, we know that $\angle 1 \cong \angle 5$ by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like $\angle 1$ and $\angle 5$ .

We also know that, by definition of linear pair postulate, $\angle 3$ and $\angle 1$ are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that $\angle 3$ and $\angle 1$ together are 180°, because they are on a straight angle. That is, $m \angle 3 + m \angle 1 = 180\°$

If we substitute $\angle 5$ for $\angle 1$ , we have $m \angle 3 + m \angle 5 = 180\°$ , which means that $\angle 3$ and $\angle 5$ are also supplementary by definition.