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snow_lady [41]
2 years ago
15

Element X decays radioactively with a half life of 13 minutes. If there are 560 grams

Mathematics
1 answer:
deff fn [24]2 years ago
7 0

The time taken for the element X to decay from 560 grams to 150 grams is 24.7 mins

<h3>How to determine the number of half-lives </h3>
  • Original amount (N₀) = 560 g
  • Amount remaining (N) = 150 g
  • Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 560 / 150

2ⁿ = 3.73

Take the log of both side

Log 2ⁿ = Log 3.73

nLog 2 = Log 3.73

Divide both side by Log 2

n = Log 3.73 / Log 2

n = 1.9

<h3>How to determine the time </h3>
  • Number of half-lives (n) = 1.9
  • Half-life (t½) = 13 mins
  • Time (t) =?

t = n × t½

t = 1.9 × 13

t = 24.7 mins

Learn more about half life:

brainly.com/question/26374513

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Which statements are true? Check all that apply.
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Answer:

A, B, and C

Step-by-step explanation:

A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = \frac{7-7}{3-(-2)} =\frac{0}{5} =0 . Thus, this is a horizontal line and the statement is correct.

B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.

Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.

C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = \frac{5-(-7)}{0-0} =\frac{12}{0} = undefined. So, this is a vertical line and the statement is true.

D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.

So, the answers are A, B, and C.

Hope this helps!

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I need help with question 11-21 show your work please and thank you!
Varvara68 [4.7K]

The computation shows that the thickness of the beam is 3.75 inches.

<h3>How to calculate the values?</h3>

11. The thickness of the beam will be:

= 3/4 inch × 5

= 3.75 inches.

12. The length of the board will be:

= 7 5/8 × 5

= 38.125 inches.

13. The total height of the stairs will be:

= 8 3/16 × 13

= 106.4375 inches.

14. The height of the stack will be:

= 55 × 3/8in

= 20.625 inches.

15. The length of the board will be:

= 3/4 × 86 1/4

= 64.6875 inches.

16. The number of hours that it'll take to replace the trim will be:

= 37 1/2 × 1/4

= 9.375 hours.

17. The height of the will required will be:

= 22 × 5/12

= 9.167 feet

18. The inches removed from the wood will be:

= 1/16 × 7

= 0.4375 inches.

19. The shortest finish stock will be:

= 3/16 × 15

= 2.8125 feet.

20. The total amount of board wasted will be:

= 3/16 × 11

= 2.0625 inches.

21. The total rise in the staircase will be:

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4 0
2 years ago
Question 26 pleaseee
LuckyWell [14K]

Answer:

The inequality is 55+10x\leq 105

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

          Cost of each additional 15 minutes of jet ski is $10

          Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

\$55+ \$ 10\times x

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

\$ 55+\$10x\leq \$ 105

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ \$ 55+\$10x\leq \$105

Subtracting both side by 55

⇒ \$ 10x\leq \$50

Dividing both side by 10

⇒x\leq \frac{50}{10}

∴ x\leq 5

Therefore, Jeremy can rent for 60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes

Jeremy can rent maximum of 135 minutes.

5 0
3 years ago
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