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2 years ago

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What is r = wp, for p

1 answer:

weqwewe [10]2 years ago

3 0

<span>What is r = wp, for p
</span>r = wp...divide both sides by w
so then p = r/w

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A convex polygon has 28 sides. what is the sum of the polygon?

Lena [83]

The sum of the polygon is 27

8 0

3 years ago

A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents t

PolarNik [594]

Answer:

The tank must remain intact for 1183 years.

Step-by-step explanation:

Exponential equation for decay:

The amount of a substance after t years is given by:

$A(t) = A(0)e^{rt}$

In which A(0) is the initial amount and r is the decay rate.

A storage tank contains a liquid radioactive element with a half-life of 96 years.

This means that $A(96) = 0.5A(0)$ , and we use this to find r.

$A(t) = A(0)e^{rt}$

$0.5A(0) = A(0)e^{96r}$

$e^{96r} = 0.5$

$\ln{e^{96r}} = \ln{0.5}$

$96r = \ln{0.5}$

$r = \frac{\ln{0.5}}{96}$

$r = -0.0072$

So

$A(t) = A(0)e^{-0.0072t}$

It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?

This is t for which $A(t) = 0.0002A(0)$ . So

$A(t) = A(0)e^{-0.0072t}$

$0.0002A(0) = A(0)e^{-0.0072t}$

$e^{-0.0072t} = 0.0002$

$\ln{e^{-0.0072t}} = \ln{0.0002}$

$-0.0072t = \ln{0.0002}$

$t = -\frac{\ln{0.0002}}{0.0072}$

$t = 1183$

The tank must remain intact for 1183 years.

5 0

3 years ago

in parallelogram abcd diagonals ac and bd intersect at point l . If Al= x-2 and ac =3x-16 , then which of the following represen

TiliK225 [7]

Answer:

The length of CI is 10 units.

Step-by-step explanation:

It is given that ABCD is a parallelogram and diagonals AC and BD intersect at point I.

The diagonals of a parallelogram bisect each other.

$AI=CI$

$AC=AI+CI$

$AC=AI+AI$ $[\because AI=CI]$

$AC=2AI$

$3x-16=2(x-2)$

$3x-16=2x-4$

$3x-2x=16-4$

$x=12$

The value of x is 12.

$CI=AI=x-2=12-2=10$

Therefore the length of CI is 10 units.

4 0

3 years ago

At a certain college, there are 600 freshman, 400 sophomores, 300 juniors, and 200 seniors. if one student is selected at random

Oksanka [162]

The total number of sample space in this item is calculated by adding up all the number of students given. That is,

S = 600 + 400 + 300 + 200 = 1500

The probability is calculated with the equation below.

P = n / S

where P is the probability,
n is the number of sophomores, and
S is the total number of students

Substituting,

P = 400 / 1500 = 4/15

<em>ANSWER: 4/15</em>

3 0

2 years ago

5 m<br>3 m<br>6m<br>8m<br>what is the S.A.?

Sergio [31]

Answer:

6m

Step-by-step explanation:

i am not sure

8 0

2 years ago