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2 years ago

IM 20 MIN AWAY FROM FAILING PLZZZ HELPPPP

Mathematics

1 answer:

padilas [110]2 years ago

5 0

Answer:

13 and 32

Step-by-step explanation:

let one number be x

Then the other number is x + 19 , then

x + x + 19 = 45

2x + 19 = 45 ( subtract 19 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

The 2 numbers are 13 and 13 + 19 = 32

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Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li

krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

$A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years$

First, let us calculate the decay constant (k)

$75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036$

Next, let us calculate the half-life as follows:

$\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years$

Therefore the half-life is between 600 and 700 years

5 0

2 years ago

Resource managers need to determine the number of years after which purple loosestrife will cover more than 850 acres of the wet

AnnyKZ [126]

Answer:

500(1.2)^t>850

Step-by-step explanation:

PLATO!!

6 0

2 years ago

Read 2 more answers

bird that was perched atop a 15 ½ foot tree dives down six feet to a branch below. How far above the ground is the bird’s new lo

never [62]

Answer:

ok so if the bird is on the top at 15 and a half then goes down six feet substrate 15 and a half from six and you get nine and half from the ground to the bird

Step-by-step explanation:

8 0

2 years ago

A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to

Lunna [17]

Tree...........................dock
.
.
.
.
.
boat

use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000 (get square root of each)
b = 223.606 (rounded to the nearest tenth.... = 223.6

4 0

3 years ago

Read 2 more answers

As an estimation we are told £3 is €4. <br> Convert £22.50 to euros.

Talja [164]

Answer:

€16.875 is the answer

Step-by-step explanation:

£22.50/3*100

=16.875

5 0

2 years ago

IM 20 MIN AWAY FROM FAILING PLZZZ HELPPPP​

IM 20 MIN AWAY FROM FAILING PLZZZ HELPPPP