Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?

Answers

Answer 1

Answer:

72.7 minutes

Step-by-step explanation:

From the above question, we can deduce that we are to find the time(t) of decay.

The formula used for this calculation is given as:

N(t) = No(1/2)^t/t½

N(t) = quantity of the substance remaining = 11 grams

No = initial quantity of the substance = 530 grams

t = time elapsed

t½ = half life of the substance = 13 minutes

Making t , the subject of the formula

t = t½ × In(N(t)/No)/-In2

t = 13 × In(11/530)/-In2

t = 72.675420100572minutes

Approximately 72.7 minutes


Related Questions

Decrease £313 by 62%
Give your answer rounded to 2 DP.

Answers

Answer:

194.06

Step-by-step explanation:

£313 decreased by 62% is £118.94

In order to determine the answer, the first step to take is to determine the value of 62% of £313.

Value of 62% = 62% x £313

0.62 x £313 = £194.06

The second step is to subtract the value of 62% of £313 from £313

£313 - £194.06 = £118.94

In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.

A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults

12
Solve using the Quadratic Formula for 2x2 + 5x – 3 = 0
x = -5, 7
b. X = -12,2
X = -3,42

Answers

Step-by-step explanation

Step-by-step explanation:

[tex] \tt{2 {x}^{2} + 5x - 3 = 0}[/tex]

⇢ [tex] \sf{2 {x}^{2} + 5x + ( - 3) = 0}[/tex]

Here , a = 2 , b = 5 & c = -3 {a is the coefficient of x² , b is the coefficient of x and c is the constant term }

Now ,

[tex] \tt{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

⇢ [tex] \tt{x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} }[/tex]

⇢ [tex] \sf{ x= \frac{ - 5±7}{4} }[/tex]

Taking positive ( + ) sign :

⇝[tex] \tt{x = \frac{ - 5 + 7}{4} = \frac{1}{2}} [/tex]

Taking negative ( - ) sign :

⇝[tex] \tt{x = \frac{ - 5 - 7}{4} = - 3}[/tex]

[tex] \purple{ \boxed{ \boxed{ \tt{⤑ \: Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{1}{2} , \: - 3}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night♡

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Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.

Answers

Answer: yes Jim is correct

Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

What is a quadrilateral?

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.

If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .

The diagram is given below.

From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

#SPJ2

Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin

Answers

Answer:

f" (3,-2)

g' (3,-6)

H' (9,-5)

Step-by-step explanation:

Determine whether the following graph represents a function.

A. Function
B. Not a function

Answers

Answer:

B. not a function

Step-by-step explanation:

A function is a set of data in which no x values repeat, but where y values may or may not repeat.

can someone please please please help me asap?!

Answers

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

Pls help due asap!
Pls SHOW WORKINGS

Answers

Answer:

[tex]m\angle 1=95^{\circ}[/tex]

Step-by-step explanation:

If we drew an auxiliary line parallel to line [tex]p[/tex] and line [tex]q[/tex] that intersects the vertex of [tex]\angle 1[/tex], we would form three angles, one of them being

The largest of these angles corresponds with the angle marked as [tex]148^{\circ}[/tex].

The angle on the bottom right corresponds with the angle next to the one marked as [tex]63^{\circ}[/tex]. Therefore, its measure is [tex]180-63=117^{\circ}[/tex].

Since there are [tex]360^{\circ}[/tex] in a circle, we can now write the following equation:

[tex]m\angle 1+117+148=360,\\m\angle 1=\fbox{$95^{\circ}\checkmark$}[/tex].

Answer:

95

Step-by-step explanation:

The way SkiffMacKinaw did this problem is the way it should be done. There is another way of doing it by extending both arms of <1 until they intersect p and q and solve the triangle hanging from p.

You then find the the angles of the triangle. The vertex angle is the supplement to <1.

This method works but it is not nearly as elegant as the original answer. This is one of the best awarded Brainliests I've seen lately.

Can someone help ASAP plsss

Answers

Answer:

the 4 by 6 and 6 by 4

Step-by-step explanation:

as the answer is same for the both value of 24

commutative meaning however it is placed the value will be not be affected

At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.

Answers

Answer:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]b = blue[/tex]

[tex]y = yellow[/tex]

[tex]r = red[/tex]

Required

Represent as a matrix

For Sammy:

[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]

So, we have:

[tex]2b + 1y + 3r = 1500[/tex]

[tex]2b + y + 3r = 1500[/tex]

For Jamie:

[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]

So, we have:

[tex]1b + 2y + 2r = 1225[/tex]

[tex]b + 2y + 2r = 1225[/tex]

For Yvonne:

[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]

So, we have:

[tex]2b + 3y + 1r = 1200[/tex]

[tex]2b + 3y + r = 1200[/tex]

The system of equations are:

[tex]2b + y + 3r = 1500[/tex]

[tex]b + 2y + 2r = 1225[/tex]

[tex]2b + 3y + r = 1200[/tex]

To represent as a matrix, we have:

[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]  [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]

This gives:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

Please help this is a major gradeeeeee

Answers

Answer:

45

Step-by-step explanation:

I think it’s
45 hopefully it’s right let me know!

1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:

Answers

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

I need help with this asap plzzz&thank u!!

Answers

Answer:

94hhfgkifc llo gfc bbn jdcjkydcjkufv

The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.

Answers

Answer:

when you do 15×528 you get 7920 books

solve for x and y and explain

Answers

Answer: x=9 and y=9

Step-by-step explanation: Y is in the same spot as x! Good luck! :D

When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7

Answers

Answer: n(7)+3=10
Explanation: 7+3 equals 10

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

[tex]n + 3[/tex]

[tex]7 + 3[/tex]

[tex]10[/tex]

hence, the given expression is equal to 10, when n = 7


The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.

Answers

Answer:

D. a rectangle

Step-by-step explanation:

On a coordinate plane it is D. RECTANGLE (I think)

I need some help with this question don't get it help please.

Answers

Answer:

Scale factor is 3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2

Hope this helps you!

I need help pls because I am confused.

Answers

Answer:

1/8

Step-by-step explanation:

The answer before you simplyify will be 24/4. that = 6

how many square inches are needed to cover a square foot????? Please help me?!?!?!??!?!

Answers

Answer:

144

Step-by-step explanation:

12 inches by 12 inches is 144. quick mafs

Answer:

144

Step-by-step explanation:

Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?

Answers

Answer:

no sé eres tú

Step-by-step explanation:

If tan 0 = 8/15, what is sin 0?

Answers

sin theta = 8/17

hope this helps

4/3(6y+21)-17>43 help pls

Answers

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?

Answers

I got you add 2% to 400 and there ur answer
With $400.00 account paying 2% interest in a year, it would take 25 years to double the money. Yearly interest is at $20.00.

How many ratios are equivalent to 3 : 8 ?

Answers

Answer:

6 : 16, 12 : 32 and 18 : 48.

Step-by-step explanation:

Therefore, the three equivalent ratios of 3 : 8 are 6 : 16, 12 : 32 and 18 : 48.

Identify the angle pair given the transversal

Answers

alternate exterior

hope this helps!
Answer: Alternate exterior
Explanation: they’re on the outside and they’re on the opposite sides

Susan drove 754 miles in 13 hours.
At the same rate, how long would it take her to drive 638 miles?

Answers

Answer:

It would take her 11 hours

Hope this is right

Step-by-step explanation:

What is the the the the answer for 40+1.5

Answers

The answer is 41.5. It’s pretty simple

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
PLZ FAST

Answers

Answer: A.)Jillian’s car holds more gasoline and gets better gas mileage

Explain why the following problem will have an
irrational answer.
√5 x 7.14

Answers

Answer:The product is a non-repeating non terminating decimal. Think it is.

Step-by-step explanation:

Answer:

It is a non repeating non terminating decimal.

Step-by-step explanation:

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