An element with a mass of 840 grams decays by 22.9% per minute. To the nearest minute, how long will it be until there are 70 grams of the element remaining?

Answers

Answer 1

Answer:10

Step-by-step explanation:believe me bro

Answer 2

To the nearest minute, it will be 10 minutes until there are 70 grams of the element remaining.

How to find the time it took for an element to decay to a certain mass?

The time the element took to decay can be found by using the following formula:

[tex]F=P(1-r)^{t}[/tex]

Where:

F is the remaining mass.P is the original mass of the element.r is the rate at which the element is decaying.t is the time it took for the element to decay.

We can find the answer by substituting the values.

[tex]F=P(1-r)^{t}\\\Rightarrow 70=840(1-0.229)^{t}\\\Rightarrow \frac{70}{840} =(1-0.229)^{t}\\0.0833=(1-0.229)^{t}\\t=9.56\\\approx10 \text{ minutes}[/tex]

Therefore, we have found that the element will take around 10 minutes to have 70 grams remaining.

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Related Questions

Please help! I need this answer right ! And I’m unsure can you LMK ASAP???

Answers

Answer:B

Step-by-step explanation:

A piece of blue yarn is 8 3/10 yards long. A piece of pink yarn is 4 times as long as the blue yarn. What is the total length of the blue and pink yarn

Answers

Answer:

41.5 Yards

Step-by-step explanation:8 3/10 * 4 = 33.2,

33.2+8 3/10 = 41.5

PLEASE HELP for a TEST EXPLAIN ANSWER pls give you brainlest!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

a-4

Step-by-step explination:

hope this helps!

Can someone please help me with math

Answers

Answer:

A. 20.2 ft

Step-by-step explanation:

use the pythagorean theorem to get your answer.

a^2+b^2=c^2

17^2+11^2=c^2

289+121=410

***IMPORTANT, remember to square root the answer. 410 isn't your final answer, it's still in c^2 form. 20.2 is the correct answer after square rooting it. don't forget that for future problems

Answer:

A. 20.2 ft

Step-by-step explanation:

Hope it helps..

x - 8 = 68 what is the value of
x​

Answers

x - 8 = 68

x - 8 + 8 = 68 + 8

x = 76

hope this helped

find the zeros of the following equation using the quadratic formula y = x2 + 13x – 48​

Answers

x2+13x-48
(x-3)(x+16)
X=3, X=-16
3 and -16 are the Zeros

In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J

A. 76
B. 70
C. 72
D. 64

Answers

The answer to the question is A.

The radius of J is 76. so option A is correct.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

By applying Pythagoras theorem In right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(720 + J)² = (648)² + J²

518400+ J² + 1440J = 419904 + J²

1440J = 518400- 419904

J = 76

Therefore, J = 76 units is the answer.

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If f(x) = (x + 7)2 and g(x) = x2 +9,
which statement is true?
A fo) B f(-4) > g(-3)
C f(1) = g(1)
D f(2) > g(2)

Answers

ANSWER : D

EXPLANATION : 81 > 13 is true

find the value of x... assume segments that appear tangent are tangent.

Answers

Answer:

x=12

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2= 144

b=12 Therefore,

x=12

The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm

Answers

The answers are A and B.
The answer is a and b

not sure what the answer is

Answers

Given:

Base dimensions of a rectangular prism = 15 cm × x cm

The height of the prism = 8 cm

Volume of the prism = 600 cm.

To find:

The value of x.

Solution:

Base area of the prism is:

[tex]B=length\times width[/tex]

[tex]B=15\times x[/tex]

[tex]B=15x[/tex]

Volume of the prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Putting [tex]V=600,B=15x,h=8[/tex], we get

[tex]600=15x\times 8[/tex]

[tex]600=(8)(15)x[/tex]

[tex]\dfrac{600}{(8)(15)}=x[/tex]

Therefore, the correct option is C.

The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
is −22.
Which function can be used to find the nth term of the arithmetic sequence?

Answers

Answer:

         aₙ = -3n + 8

Step-by-step explanation:

The nth term of an arithmetic sequence:  aₙ = a₁ + d(n - 1)

{d = common difference}

a₁ = 5

a₄ = 5 + d(4 - 1)

-4 = 5 + 3d

-4 - 5 = 3d

3d = -9

 d = -3

Therefore;

                  aₙ = 5 + (-3)(n - 1)

                   aₙ = -3n + 8

Check:  a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22

The nth term of the sequence is Tn = 8 - 3n

How to determine the function of the nth term?

The given parameters are:

a = 5, first term

T4 = -4 --- the 4th term

T10 = -22 --- the 10th term

The nth term of an arithmetic sequence is:

Tn = a + (n - 1) * d

So, we  have:

T4 = a + (4 - 1) * d

Substitute known values

-4 = 5 +(4 -1) * d

This gives

-4 = 5 + 3d

Subtract 5 from both sides

3d = -9

Divide by 3

d = -3

Recall that:

Tn = a + (n - 1) * d

So, we have:

Tn = 5 + (n - 1) * -3

Expand

Tn = 5 + 3 - 3n

Solve

Tn = 8 - 3n

Hence, the nth term of the sequence is Tn = 8 - 3n

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PLSSS HELP IMMEDIATELY!!!! i’ll mark brainiest if u don’t leave a link!

Answers

Answer:

grab objects

Step-by-step explanation:

barrels and things like that would most likely grab objects so the fish can have room to swim and stuff

A homeowner installs a solar heating system, which generates 20 savings at a rate of 300e t dollars per year, t years after installation. Find a formula for the total savings after t years. If the system cost 30000 dollars to install, when will the savings match the installation cost

Answers

Answer:

"35.84 years" is the appropriate solution.

Step-by-step explanation:

The given values are:

Rate of savings generation,

[tex]s'(t)=300e^{\frac{t}{20} }[/tex]

System cost to install,

= $30000

Now,

The total savings will be:

⇒  [tex]s(t)=\int\limits s'(t) \ dt[/tex]

On substituting the values, we get

⇒         [tex]= \int\limits 300e^{\frac{t}{20} } \ dt[/tex]

⇒  [tex]s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c[/tex]

When,

Savings = 0

t = 0, then

⇒  [tex]0=6000e^o+c[/tex]

⇒  [tex]c=-6000[/tex]

The formula will be:

⇒  [tex]s(t)=6000[e^{\frac{t}{20} }-1][/tex]

On putting the values in the above formula, we get

⇒  [tex]30000=6000(e^{\frac{t}{20} }-1)[/tex]

           [tex]5=e^{\frac{t}{20}}-1[/tex]

        [tex]e^{\frac{t}{20} }=6[/tex]

On taking log, we get

⇒  [tex]\frac{t}{20} =log \ 6[/tex]

      [tex]t=20 log 6[/tex]

        [tex]=35.84 \ years[/tex]  

HELPPPO !% PT PLZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

6/12,  2/4,

Step-by-step explanation:

6/12 because half of 12 is 6.

2/4 because half of 4 is 2.

Both can equal 1/2.

Click the location of the point in the coordinate plane with the coordinates (–4, 3).

Answers

Answer:

I've put the red dot where location is.

Step-by-step explanation:

99 times the sum of v and 9

Answers

Answer:

Step-by-step explanation:

99(v + 9) is all you need here.

Write the sentence as an equation
the product of 48 and g, reduced by 26 is equal to 345 subtracted from the quantity g times 150

Answers

Is there any answer choices so I can choose?

James joins Club One which charges a monthly membershi[ of $ 19.99. How much will James spend in all, if he continues his membership for 6 months?

Answers

Answer:

James will spend $119.94

Step-by-step explanation:

Multiply $19.99 by 6.

$19.99 x 6 = $119.94

1. Write an equation for the circle whose graph is shown.
y
5
3
2
-5 -4 -3 -2 -1
1 2 3 4 5 x
2
3
-4
-5
O (3-1)2 + (y + 2)2 = 2
O (3-1)2 + (x + 2)2 = 4
O (2+1)2 + (y – 2)2 = 4
O (2+1)2 + (y-2)2

Answers

Answer:

325

Step-by-step explanation:

got it right on edg

The required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is the center of the circle and 2 unit is the radius of the circle. Option C is correct.

A graph of the circle is shown, It is to determine the equation of the circle.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by


(x  - h)² + (y - k)² = r²


where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.

From the graph, the center is ( -1, 2) and the radius is  2. Now put these values in the standard equation of the circle.
(x - (-1))² + (y - 2)² = 2²
(x +1 )² + (y - 2)² = 4

Thus, the required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is center of the circle and 2 unit is the radius of the circle. Option C is correct.



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May someone help me please. Solve for x and then find the indicated length. Pleaseee

Answers

Answer:

16

Step-by-step explanation:

3x + 4 = x + 12  [The straight line on the segments AB and BC indicate that they are the same length]

2x = 8  [Subtract x and 8 from both sides]

x = 4  [Divide both sides by two]

Length AB is equal to (3x + 4) as indicated by the diagram. Substituting x = 4, (3 * 4) + 4 = 16

Please can someone help me?

Answers

Answer:

Step-by-step explanation:

help, i will give brainliest

Answers

Answer:

The answer is J

Step-by-step explanation:

If you start from Quinn's location (8,7), and move south 3 units, you get to (8,4). Then you move to the west 4 units and that gets you to (4,4).

hope this helped! :)

if -3x + 7 = -8 what does X equal

Answers

Answer:

5

Step-by-step explanation:

3x-7=8

x=5

Which expression is equivalent to 10(−45x+3)−2x?

−8x+3

−10x+3

−10x+30

−30x+30

Answers

Answer:

-10x+30

Step-by-step explanation:

just got it right on edg 2021 :)

None of these are correct

Write an equation for the following scenario.

A 4000 fish population of tuna has been growing continuously at a rate of 0.3%.

Answers

[tex]4000(1.003)^{(x-1)}[/tex]

Step-by-step explanation:

Please someone help me!! Look at picture. Also write as it expression.

Answers

Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation:

How many yards are equivalent to 38 feet? Sh

Answers

Answer:

16 2/3 yards

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

(x+3)(x-3)(3x+2) can you work this out please

Answers

Answer: 3x^3 + 2x^2 −27x −18

Step-by-step explanation below.

(x+3)(x−3)(3x+2)

=((x+3)(x−3))(3x+2)

=((x+3)(x−3))(3x)+((x+3)(x−3))(2)

=3x3−27x+2x2−18

=3x3+2x2−27x−18

Hope this helps!

3x^3+2x^2-27x-18 is that answer to you question

Is the graph shown below that of a function?

Answers

Answer:

yes

Step-by-step explanation:

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