All categories

3 years ago

Bismuth-210 has a half-life of 5 days. Find

Mathematics

1 answer:

taurus [48]3 years ago

5 0

Answer:

0.78125g

Step-by-step explanation:

Since there are 35 days in 5 weeks, 7 half-lives of Bismuth-210 will take place. To solve for that, you can divide 100g by 2, 7 times or simply: $\frac{100}{2^{7}}$

$\frac{100}{2} =50\\\frac{50}{2} =25\\\frac{25}{2} =12.5\\\frac{12.5}{2} =6.25\\\frac{6.25}{2} =3.125\\\frac{3.125}{2} =1.5625\\\frac{1.5625}{2} =0.78125$

You might be interested in

Will give brainliest

pychu [463]

The equation of a hyperbola is $x^{2}$ /9 - $y^{2}$ /4 = 1

What are the steps to Hyperbola equation ?

To find the equation of hyperbola, the following steps must be taken. You need to identify;

The coordinate of the center

The coordinate of the vertices

The coordinate of the foci

The general equation of a hyperbola can be expressed as

$x^{2}$ / $a^{2}$ - $y^{2}$ / $b^{2}$ = 1

From the graph, we have the following parameters

a = 3

$a^{2}$ = $3^{2}$ = 9

b = 2

$b^{2}$ = $2^{2}$ = 4

The equation of a hyperbola can be expressed as

$x^{2}$ /9 - $y^{2}$ /4 = 1

The vertices = V(+/-a,0) = (+/-3,0)

The center = C(0,0)

The focus = F(+/-C, 0)

Where $C^{2}$ = $a^{2}$ + $b^{2}$

C = $\sqrt{9 + 4}$

C = $\sqrt{13}$

Focus = F(+/- $\sqrt{13}$ , 0)

The general equation for asymptote = +/- b/a X

= +/-2/3X

Therefore, the equation of a hyperbola can be expressed as

$x^{2}$ /9 - $y^{2}$ /4 = 1

Learn more about hyperbola here: brainly.com/question/3405939

#SPJ1

6 0

2 years ago

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66

Anna71 [15]

<span>You are given the waiting times between a subway departure schedule and the arrival of a passenger that are uniformly distributed between 0 and 6 minutes. You are asked to find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Le us denote P as the probability that the randomly selected passenger has a waiting time greater than 3.25 minutes.
P = (length of the shaded region) x (height of the shaded region)
P = (6 - 3.25) * (0.167)
P = 2.75 * 0.167
P = 0.40915
P = 0.41</span><span />

7 0

3 years ago

What is the distance between the points (2, 5) and (5,7)?

Svetlanka [38]

Answer:

$\sqrt{13}$

Step-by-step explanation:

The distance formula that gives the distance between two points is given as:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$