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Vinil7 [7]
3 years ago
12

Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?​
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

It will take 15.029 years for element X to reach mass of 260 grams

Step-by-step explanation:

The half life period of radioactive element X is 26 years

The initial mass of radioactive element X is 260 grams

Elapsed time = half life * log (beginning amount /ending amount)/log 2

Substituting the given values, we get

Elapsed time = 26 * log (390/260)/log 2

=  15.209 years

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Marco needs to buy some cat food. At the nearest​ store, 5 bags of cat food cost ​$18.75. How much would Marco spend on 3 bags o
Ira Lisetskai [31]

Answer:

$11.25

Step-by-step explanation:

5 bags = $18.75

To find the amount for three bags, we need to find the price for <em>each </em>bag.

Divide 18.75 by 5.

18.75/5 = 3.75

So each bag is 3.75, and since we need to know the price for 3 bags, we need to multiply 3.75 by 3, which is 11.25.

7 0
3 years ago
Ind the slope and y intercept of -9x+3y=5
Radda [10]

Answer:

first, you need to get y on one side. So, because the x is negative it becomes positive when you switch it to the other side. 3y= 9x+5. You then need to divide all parts by 3. 3/3= 1 so thats just y. 9/3 is 3 so thats 3x. then 5/3 is a fraction that you can write as just 5/3 or 1 and 2/3. That would leave you with y= 3x + 5/3. Then x (3) is your slope. and what you add to it (5/3) is your y int.

4 0
3 years ago
Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white how many total marbles are
Gemiola [76]

Hey there! I'm happy to help!

Let's represent the total number of marbles with the variable t. We have the following information.

1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)

Now, we solve for t.

1/2t+1/6t+8=t

We combine like terms.

2/3t+8=t

We subtract t from both sides.

-1/3t+8=0

We subtract 8 from both sides.

-1/3t=-8

We divide both sides by -1/3.

t=24

Therefore, there ae 24 total marbles in the bag.

Have a wonderful day! :D

7 0
3 years ago
57:22 5 What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the po
steposvetlana [31]

Answer:

C. y + 3 = ¼(x + 4)

Step-by-step explanation:

✔️Find the slope of the given line:

Slope = ∆y/∆x = -(4/1) = -4

The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.

Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.

m = ¼.

Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)

Thus:

y - (-3) = ¼(x - (-4))

y + 3 = ¼(x + 4)

7 0
3 years ago
100
disa [49]

Answer:

Distance of ladder top from ground = 9.2 meter (Approx.)

Step-by-step explanation:

Given:

Angle of elevation between ground and ladder = 43°

Length of ladder = 13.5 meter

Find:

Distance of ladder top from ground

Computation:

Length of ladder = Hypotenuse

Distance of ladder top from ground = Perpendicular

Sinθ = Perpendicular / Hypotenuse

Sin 43 = Distance of ladder top from ground / Length of ladder

0.6819 = Distance of ladder top from ground / 13.5

Distance of ladder top from ground = 9.20565

Distance of ladder top from ground = 9.2 meter (Approx.)

8 0
3 years ago
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