The amount of radioactive lead remaining after 3 years is 545gm.
The amount of radioactive lead remaining after 8 years is 464gm.
The amount of radioactive lead remaining after 15 years is 371gm.
The half-tie for radio active lead is 21.66 years.
Given that,
A sample of 600 g of radioactive lead-210 decays to polonium-210,
According to the function A(t) = 600e ^-0.032t,
Where, t is time in years.
We have to find,
Find the amount of radioactive lead remaining after.
According to the question,
Function [tex]A(t) = 600e^{(-0.032t)}[/tex]
After 3 years the amount of radioactive lead,[tex]A(3) = 600\times e^{(-0.032t)} \\\\A (3) = 600 \times \dfrac{1}{e^{0.032\times 3} } \\\\e^{0.096} = 1.10075\\\\A (3) = 600 \times \dfrac{1}{e^{0.096} } \\\\A (3) = 600 \times \dfrac{1}{1.10075} } \\\\A(3) = \dfrac{600}{1.10075}\\\\A(3) = 545gm[/tex]
The amount of radioactive lead remaining after 3 years is 545gm.
After 8 years the amount of radioactive lead,[tex]A(8) = 600\times e^{(-0.032t)} \\\\A (8) = 600 \times \dfrac{1}{e^{0.032\times 8} } \\\\e^{0.0256} = 1.129175\\\\A (8) = 600 \times \dfrac{1}{e^{0.0256} } \\\\A (8) = 600 \times \dfrac{1}{1.129175} } \\\\A(8) = \dfrac{600}{1.129175}\\\\A(8) = 464gm[/tex]
The amount of radioactive lead remaining after 8 years is 464gm.
After 15 years the amount of radioactive lead,
[tex]A(15) = 600\times e^{(-0.032t)} \\\\A (15) = 600 \times \dfrac{1}{e^{0.032\times 15} } \\\\e^{0.48} = 1.61607\\\\A (8) = 600 \times \dfrac{1}{e^{0.48} } \\\\A (8) = 600 \times \dfrac{1}{1.61607} } \\\\A(8) = \dfrac{600}{1.61607}\\\\A(8) = 371gm[/tex]
The amount of radioactive lead remaining after 15 years is 371gm.
The half-tie for radioactive lead,[tex]A(15) = 600\times \dfrac{1}{2} = 600e^{-0.032t} \\\\= e^{(-0.032t)} = \dfrac{1}{2}\\\\Taking \ log \ on \ both \ sides\\\\= -0.032t = ln2\\\\= t = \dfrac{ln2}{-0.032}\\\\= t = 21.660\\\\= t = 21.66 years[/tex]
The half-tie for radio active lead is 21.66 years.
To know more about Radioactivity click the link given below.
https://brainly.com/question/12520966
Solve this to get 25 points. Correct answer gets brainliest!
Answer:
T = 59
U = 27
V = 94
Step-by-step explanation:
(5x +4) + (8x + 6) + (2x+5) = 180
15x + 15 = 180
15x = 165
x = 11
Can someone please help
consider the equation -2x+3y=6 write an equation in slope-intercept form
Answer:
6=-2x+3
Step-by-step explanation: I don't know if this is what you mean
If 24 houses can be built by 3 builders in a fixed period of time, how many houses can be built by 7 builders
Answer:
Possibly 56
Step-by-step explanation:
24 divided by 3 is 8. 8 x 7 is 56.
Solve the inequality.
−9<−1/5x
Solve the inequality.
−9<−1/5x
Multiplying a negative and a positive equals a negative: (-) × (+) = (-)
[tex] - 9 < - \frac{ 1}{5} x[/tex]
Multiplying both side of the inequality by -5 and flip the inequality sign:
[tex]( - 5) \times ( - 9) = 45[/tex]
[tex]45 > x[/tex]
Now, swap the sides of the inequality and flip the inequality sign:
[tex]x < 45[/tex]
The probability of getting a tail from an unfair coin is 3/5 what is the probability of getting a head?
A coat bought for £48 in a sale
had been reduced by 20%. What
was the price of the coat before
the sale?
Answer:
£57.6
Step-by-step explanation:
PLEASE HELP ASAP!! PLEASE
Answer:
21 km
Step-by-step explanation:
I am not too sure if i did answer that correctly but the distance should not change even if it is in different directions
can someone answer these question
Answer:
y=5
Step-by-step explanation:
Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.
The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree
The answer is D. 115°
Answer:
The answer is also 115 on USA test prep.
In AEFG, the measure of ZG=90', the measure of ZE=51°, and FG = 5.2 feet. Find
the length of EF to the nearest tenth of a foot.
Answer: 6.7 feet
Step-by-step explanation: sin 51= 5.2/x
xsin51= 5.2
xsin 51/sin 51 = 5.2/sin 51
x= 5.2/sin 51 =6.6911≈ 6.7 feet
Phil made a number line showing the multiples of 3/6...
What is the product 2 x 3/6?
the answer would be 6/6 because they want you to multiply 2 x 3/6
Please help me I need it soon
I need help ASAP!!! If someone could explain anyone of these I would be so grateful!
Answer:
7. x = 23
Step-by-step explanation:
They are angles on transversals intersecting parallel lines. Also vertical angels are equal to each other.
So for example question 7 you need to use these two things to realize that 4x is the same angle as (3x + 23) so you have to put them in an equation like this
4x = 3x + 23 and then solve it algebraically
Help this is geometry! Help me please!
which of the following are a solution to be inequality?
select all that apply
v is less then or equal to 7
v=7
v=5
v=9
v=12
What value of m makes the triangles similar? A)6 B)9 C)1.5 D)5
Answer:
6
Step-by-step explanation:
2x2=4
3x2=6
:D
Answer:
6
Step-by-step explanation:
small triangle is 2 and 3
big triangle is 4 and m
2 times 2 is 4
3 times 2 is 6
Sorry if this is wrong...
3. A pitcher of water contains 1/4 liter of water. The water is poured equally into 5 glasses.
a. how many liters of water are in each glass? (EXPLAIN)
b. Write the amount of water in each glass in MILLILITERS.
Answer: 1/20
Step-by-step explanation:
1/20 liters because 5 times 4/1 (5 divided by 1/4) equals 1/20
Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please
5. Sarah has 5 less dollars than Jessica. Sarah has 17 dollars.
A: Write an equation that describes this solution.
B. What is the solution to the equation?
Answer:
A. J = 17 + 5
B. J = 22
Jessica has $22.
Answer:
22
Step-by-step explanation:
17+5 because the 5 represents how many more do jessica got and 17 means how much sarah got it total
A kennel has 90 dogs in total, some are puppies and some are adult dogs. The ratio
of puppies to adult dogs in a kennel is 3:2. How many adult dogs are there?
Answer:
36
Step-by-step explanation:
90÷5=18
18×2=36
We multiply two because the ration for adults is 2
Classify the following triangle. Check all that apply.
70
15.8
8
80"
30
15
A. Obtuse
B. Isosceles
C. Scalene
D. Equilateral
E. Right
F. Acute
We are to check the options and choose which applies to the triangle
The options which applies is option C, Scalene and option For, Acute
Obtuse: It is not an obtuse angle because none of the angles are greater than 90°
Isosceles: It is not an isosceles triangle because it has no two equal sides
Scalene: It is a scalene triangle because all the sides are not equal sides
Equilateral: It is not an equilateral triangle because all the sides are not equal
Right: It is not a right angle because none of the angles form a straight line equivalent to 90°
Acute: It is an acute angle because the angles measures less than 90°
The correct answer is Scalene and acute
Read more:
https://brainly.in/question/6701976
what is the sum of the measures of the interior angles of a hexagon
Answer:
Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.
On March 8, 2017, one Chinese yuan was worth 0.14 U.S. dollars.
On that date, how many dollars was 170.22 yuan worth?
Round your answer to the nearest hundredth of a dollar.
pues las etapas de ahí son textos el inicio nos interesa pero luego se tornan muy interesantes
Find the area of triangle STU
Help me
Answer:
12cm cubed
Step-by-step explanation:
A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point so just plug those in the formula hopefully its correct
Step-by-step explanation:
The height is 5
and the base is 7
area of triangle = bxh
= 7 x 5
= 35 cm2
Name BOTH pairs of alternate interior angles. HELPPPPP PLEASE!!!!!!
Answer:
Angles 6 and 2
Step-by-step explanation:
They are in the "interior" of the figure, plus, ik how to do this
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
a person ate 2000 calories in a day of those calories 35% were from fat how many calories are from fat
Answer:
700
Step-by-step explanation:
A bag contains 324 sweets Amelia takes 1/9 of the sweet from the bag the remaining sweets are divided between Isabella and Olivia in the ration 1:5 how many sweet dose Olivia have ?
Answer:
Olivia has 240.
Step-by-step explanation:
Amelia took 36 and there were 288 left over. A ratio of 1:5 with 288 would be 48 and 240 so therefore, Olivia has 240.
Algebra 2!!
The equation of the piecewise function f(x) is below. What is the value of f(3)?
Answer:
5
Step-by-step explanation:
Ask your self which equation you should use. Since it says F(3) then we have to find an equation that would fit this correctly. For example if we look at -X^2, X<-2 we could see that 3 is clearly not less than -2, leading to the conclusion that this is not the right equation.. If you look at the last equation it says that x has to be greater/equal to 0 which is true. So then we are left with the equation...
F(3)=x+2
F(3)=3+2
F(3)=5
original price is $150 markdown is 30% what is the retail price
Answer:
$105
Step-by-step explanation:
0.30×150=45
150-45=105