How much of a radioactive substance must be presented to decay to 80 grams in 12 years if the half-life of the substance is 7.6 years?

Answers

Answer 1

Answer:

Radioactive in half life is 51gram

Step-by-step explanation:

80grams:12years

X :7.6years

12x÷x=x

7.6×80÷12=51gram

Answer 2

Answer:

239 grams.

Step-by-step explanation:

Half life t(1/2) = ln 2 / k

So 7.6 = ln 2 / k

k = ln 2 / 7.6 = 0 0901204

N = No e^-kt

So after 12 years

80 = No / e^(-0.0901204*12)

No = 80 / e^(-0.0901204*12)

= 239.


Related Questions

2. What number would you divide by to calculate the mean of 3, 4, 5, and 6?
a. 6
b. 3
c. 5
d. 4

Answers

Answer:

its 4 i think tell me if i am wrong

Step-by-step explanation:

1. A house which cost £96000 appreciated in value each year by 1.6%
Calculate the value of the house after 4 years.
Give your answer to 3 significant figures

Answers

Answer:

  £102,000

Step-by-step explanation:

A growth rate of 1.6% corresponds to an annual growth factor of ...

  1 +1.6% = 1.016

The house value is multiplied by this factor each year for 4 years, so the final value is ...

  £96000 × 1.016⁴ ≈ £102,293

To 3 significant figures, the house value after 4 years is £102,000.

Answer:

answer : 102293.04

3 significant figures : 102000

Step-by-step explanation:

For a lab experiment, Jeremy needs to know the volume of a sample of tin with a mass of 189.8 grams.

Use the chart to find the volume of this sample of tin.

Answers

Answer:

26 cm^3

Step-by-step explanation:

189.8 gm / ( 7.3 gm / cm^3) = 26 cm^3

Answer:

C) 26cm

Step-by-step explanation:

hope it helps!

Consider the figure below: (DE and BC are parallel)

Answers

If DE and BC are parallel, their sides must be proportional.

2/x+1 = 5/4x-2
Use cross multiplication:
8x-4=5x+5
3x=9
x=3

Plug this in:
x: 3
AE: 3+1 = 4
CE: 4(3)-2 = 12-2 = 10
AB: 2 + 5 = 7
AC: AE+CE = 4 + 10 = 14

I need more help it would be so nice + it is 100 points.

Answers

Answer:

8/3 < 8/2

D

Step-by-step explanation:

8/3 = 2.67

8/2 = 4

So, when fractions have equivalent (same) numerators, the one with the lesser denominator is the greater fraction.

There is more left if 8 is divided by 2 than when it is divided by 3

[Answer]8/3 < 8/2

[Answer] D

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

8/3 < 8/2

Step-by-step explanation:

D. When fractions have equivalent numerators, the one with the lesser denominator is the greater fraction.

8/2 = 4

8/3 = 2.667

Please help me with this math question attached below.

Answers

Answer: 12 outcomes

Step-by-step explanation:

When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

A side of the triangle below has been extended to form an exterior angle of 124°. Find the value of x.

Answers

Answer:

56 degrees

Step-by-step explanation:

The angles x and 124 are supplementary angles, which means they add up to 180 degrees.

Thus,

We are left with this equation.

[tex]124 + x = 180[/tex]

Subtracting 124 from both sides, we are left with

[tex]x = 56[/tex]

Hope this helps.

Have a great day.  

Please help !!! What’s the answer to this??

No links please ! And no replies if you don’t know the answer.

Answers

Answer:

Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:

2 x 3600 = 7,200 mph

No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.

if there are 12 cookies and you ate 1/2 how many cookies will you have left

Answers

Answer:

6 cookies

Step-by-step explanation:

half of twelve is 6

12/2=6

Solve w2 + 2 w - 24 = 0.

Answers

Answer:

w= -6

w= 4

Step-by-step explanation:

w= -b sqrt(b^2-4ac)

2a

let

a=1

b=2

c= -24

substitute values~

Hello!

[tex]==========================================[/tex]

In order to solve this equation for w, we need to factor it.

First, let's think of 2 numbers that multiply to -24 and add to 2.

These numbers are -4 and 6.

Check:

6×(-4)=-24 ✓

6+(-4)=6-4=2✓

Now, factor:

(     ) (    )

That's how it should look like:

(w+   )( w-   )

Now, instead of the blanks, plug in -4 & 6:

(w-4)(w+6)

Now, set each factor equal to 0:

w-4=0

w=4

w+6=0

w=-6

[tex]====================================[/tex]

Notes:-Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:-

Nickname:-

[tex]\rule{1}{1}~\rule{2}{2}\mathbb{DiAmOnD}[/tex]

pls help me pls I have to turn in tonight and if u answer this can you draw and send it pls​

Answers

Answer:

see attached

Step-by-step explanation:

(i) F' shown in red = Rotation 180° about point (2, 1)

(ii) F'' show in blue = Reflection of F' in x-axis

Your coach bought 12 hamburgers and 6 large fries for your team for
dinner. Each hamburger cost $1.75. He spend $30. Write and solve
an equation to determine the cost c of a large fry.

Answers

Answer:

$1.5

Step-by-step explanation:

12 x 1.75 + 6c = 30

21 + 6c = 30

6c = 30 - 21

6c = 9

c = 9/6

c = 1.5

Answer:

do face reveal

Step-by-step explanation:

we don't talk about bruno

Randall makes chilli for a cold winter night. To make 7 servings, he uses 12 1/4 cups of diced tomatoes. How many cups of diced tomatoes are needed to make one serving of chili? Answer in decimal form.

Answers

Answer:

1.25 cups of diced tomatoes

Step-by-step explanation:

1.  12 1/4 ÷ 7

2. = 49/4 x 1/7

3.  =49/28

4. =7/4

5. =1 1/4 or 1.25

I hope this was helpful

Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep after they had traveled 176 miles, what was the total length of the trip?

Answers

Based on the given conditions, formulate:
176÷44%

Convert decimal to fraction:
176/44/100

Reduce the fraction:
176/11/25

Divide a fraction by multiplying its reciprocal:
176×25/11

Reduce the expression to the lowest term:
16×25

Calculate the product or quotient:
400

get the result:
400

Answer: 400m

Ignore this I deleted my answer cause I missread the question...

How do you write 5.0 × 105 in standard form?

Answers

Answer:

I'm not sure if you mean 5 x 105 which = 525. Or 5 x 10^5 which = 500,000

Step-by-step explanation:

The answer to the first one. is easy, you just have to multiply it first. The second one is pretty simple too. You would have move or shift the decimal point 5 times to the right.

solve 3x-1=5x+7

Please help

Answers

Answer:

[tex]3x - 1 = 5x + 7 \\ \\ 5x - 3x = 7 + 1 \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ x = 4[/tex]

# Jerry Don is here#

"the square of y decreased by
quotient of 36 and 6"?

Answers

Here's your answer, folks! ↓

[tex]y^2 - (36 * 6)[/tex]

Select all the expressions that are equal to 12x + 36

12(x + 24)

x(12 + 36)

3(4x + 12)

4(3x + 9)

4(3x + 9x)

Answers

Answer:

The answer are

12(x + 24) ❌

x(12 + 36) ❌

3(4x + 12)

4(3x + 9)

4(3x + 9x) (Again?)

Step-by-step explanation:

12x + 36 equals 12(x + 3) (Keep that in mind)

12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌

x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌

3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct.

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅

Hope this helped! Keep strong and good luck! :)

Can you mark me brainliest? But wait! It's your choice. I don't have the right to brag. Have a nice day!! :D

Let me know if you want me to help you with anything else. I'll be happy enough to help you. :>

- ✨7272033Alt

7x^2+16-8

Solve using the Quadradic Formula, and round to the nearest hundredth as needed.

Someone please help-

Answers

First step (7x2 - 16x) - 8 = 0
Second step Factoring 7x2-16x-8

The first term is, 7x2 its coefficient is 7 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is -8

Step-1 : Multiply the coefficient of the first term by the constant 7 • -8 = -56

Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -16 .
All of that said it’ll be 2.708
How I got 2.708 is x =(16+√480)/14=(8+2√ 30 )/7= 2.708
And 0.422 is x =(16-√480)/14=(8-2√ 30 )/7= -0.422

Answer: 0.45  and -2.74

Step-by-step explanation:

You're going to want to use the Quadratic Formula, so (-b±√(b^2-4ac))/2a.

When you plug in you should get -16 ± √16^2-4(7)(-8)/2(7)

-16± √(256+224) all divided by 2 x 7 or 14

(-16 ± 22.3607)/14

0.45  and -2.74 are your answers

Please help me with this problem
Evaluate (-½·3)³

Answers

Answer: -27/8

Step-by-step explanation:

[tex]\left(-\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]

[tex]\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]

[tex]=-\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]

[tex]=-\frac{1}{8}\cdot \:3^3[/tex]

[tex]=-\frac{1}{8}\cdot \:27[/tex]

[tex]=-\frac{27}{8}[/tex]

Help:
8. Multiply the following:
a. (x^3)(x^2) =
b.(x^7)(x^10) =
c. (3s^4)(-6s^5) =
d. (-20x)(3x) =

Answers

Answer:

below

Step-by-step explanation:

the law of indices:

a) x⁵

b) x¹⁷

c) -18s⁹

d) -60x²

Which best describes the range of the function f(x) = 2(3)x?

y > 0
y ≥ 0
y > 2
y ≥ 2

Answers

Answer:

y > 0

Step-by-step explanation:

if x = 0, y = 2

if x > 0, y > 0

if x < 0 , y > 0

The option that describes the range of the function f(x) = 2(3)x is A. y > 0.

How to illustrate the function?

It should be noted that a function whose value us constant raised to the power of the argument especially the function where the constant is e.

The range of the value of y depends on x. Here, the option that describes the range of the function f(x) = 2(3)x is y > 0.

In conclusion, the correct option is A.

Learn more about functions on:

brainly.com/question/25638609

#SPJ9

m
A.
Which of the following equations is equivalent to p = + at?
a=t(p-on)
t=a(p)
B.
=
m
גנן
C.
1 =
p-at
D.
r
m =
p-at

Answers

Answer:

M Because the evolution of algebraic combinations is disordered and Fibonacci is wrong

10 points !!!!!!!!!!!!

Answers

Step-by-step explanation:

the numbers are a bit cut off at the top.

do I understand it correctly that the question is when the balloon loses 6/8 of a cubic foot of air ?

if so, I need to point out that the balloon loses 1/8 of a cubic foot per day.

so, how many days until it loses 6/8 if a cubic foot ?

well, 6 times that of 1/8 of a cubic foot = 6 days.

Please help with this question

Answers

Quadrilateral and Rhombus

Answer:

square ,rhombus, parallelogram

Step-by-step explanation:

please mark me as brainlest

It took 24 hours to fill up the town swimming pool with 18,000 gallons of water. How many gallons were filled in 1 hour?

Answers

Answer:

750 gallons per hour

Step-by-step explanation:

divide 18000 by 24 and you get 750

Does anyone know the answer to this ?? PLEASE HELP.

No links please, don’t answer if you don’t know it :,)

Answers

Answer:

2,365,200,000 times

Step-by-step explanation:

Given :

Average heartbeat rate = 60 times/minuteAvg. human lifespan = 75 years

To Find :

Number of heartbeats in lifetime of 75 years

Solving :

Let the number we require be nn = average heartbeat rate x 60 x 24 x 365 x 75n = 60 x 60 x 24 x 365 x 75n = 3600 x 24 x 365 x 75n = 86400 x 365 x 75n = 31536000 x 75n = 2,365,200,000 times

Julio watched a movie that started at 11:30 am and ended at 2:12 pm how long was the movie

Answers

2 hrs and 42 minutes.
Use this on the calculator

the height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. which measurement is closest to the volume of cylinder in cubic cintemeters

a: 251.3
b: 4,021.2 cm
c:251.3 cm
d:628.3 cm

Answers

Answer:

Should be 251.3 cm^3

Step-by-step explanation:

Use the formula for volume of cylinder

help me pleaseeeeeeeeee ​

Answers

draw a market and place the point (4 ; 1)

then you go on your right : 4 units

and go down : 3 units

you place a second point

and now you can graph the line

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