Einsteinium-253253253 is an element that loses about \dfrac23

Mathematics

2 answers:

yan [13]3 years ago

5 0

Answer:

S(t) = 450 (1/3)^t .

Step-by-step explanation:

Sedbober [7]3 years ago

4 0

Answer:

$S(t)=450\times(1/3)^t$

Explanation:

The element is <em>einstenium-253</em>. That means that the mass number, i.e. numbrer of protons plus neutrons, of this isotope is 253, but that is not relevant to answer the question.

It is said that the element <em>loses about 2/3 of its mass every month, </em>then to find the remaining amount, every month you have to multiply by 1/3.

With that you can create a decaying function that gives a sample's mass in grams:

$Initial\text{ }mass=M_0\\ \\ Mass\text{ }after\text{ }1\text{ }month=M_0\times1/3\\ \\ Mass\text{ }after\text{ }2\text{ }months=M_0\times(1/3)^2\\ \\ Mass\text{ }after\text{ }3\text{ }months=M_0\times(1/3)^3\\ \\ Mass\text{ }after\text{ }t\text{ }months=M_0\times(1/3)^t$

Now you can replace the initial mass with 450 g and write the specific function for this sample:

$S(t)=450\times(1/3)^t$

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Which exponential expression is equal to 2−5·28

gizmo_the_mogwai [7]

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

3 0

3 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.