Phosphorus -32 is a radioisotope with a half -life of 14.3 days. If you start with 4.0g of phosphorus -32, how many grams will remain after 57.2 days? How many half -lives will have passed? Hint: firs
Answers
After 57.2 days, approximately 0.25 grams of phosphorus-32 will remain. This is equivalent to 0.0625 half-lives.
The half-life of phosphorus-32 is given as 14.3 days. To calculate the remaining grams of phosphorus-32 after 57.2 days, we need to determine how many half-lives have passed.
Since the half-life is 14.3 days, we can calculate the number of half-lives by dividing the total time (57.2 days) by the half-life:
Number of half-lives = 57.2 days / 14.3 days = 4
So, after 57.2 days, 4 half-lives have passed. To calculate the remaining grams, we can use the formula:
Remaining grams = Initial grams × (1/2)^(number of half-lives)
Plugging in the values:
Remaining grams = 4.0g × (1/2)^4 = 4.0g × 0.0625 = 0.25g
Therefore, after 57.2 days, approximately 0.25 grams of phosphorus-32 will remain.
After 57.2 days, only a small fraction of the initial amount of phosphorus-32 will remain, approximately 0.25 grams. This corresponds to approximately 0.0625 half-lives. Understanding the concept of half-life allows us to calculate the decay of radioactive substances over time. In this case, phosphorus-32 has a relatively long half-life of 14.3 days, meaning it decays relatively slowly. By applying the formula and considering the number of half-lives, we determined the remaining amount of phosphorus-32 after 57.2 days.
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Related Questions
what is
f(x)= (x-4)(x+3)
in standard form?
Answers
Answer:
f(x) = x²-x+12
Step-by-step explanation:
f(x)=(x-4)(x+3)
or, f(x)=x²+3x-4x-12
or, f(x) = x²-x-12
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Answers
The most extreme region of the square shape will be 52812.5 square meters.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
A farmer with 650 meters of fencing wants to enclose a rectangular plot that borders a river.
The dimensions are x and 650 - 2x.
A = x(650 - 2x)
A = 650x - 2x²
Differentiate the function, then we have
A' = 0
650 - 4x = 0
x = 650 / 4
x = 162.5
Then the maximum area of the rectangle will be
A = 650 (162.5) - 2 (162.5)²
A = 52812.5 square meters
The maximum area of the rectangle will be 52812.5 square meters.
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Angela has $35.41 in her savings account. She really
wants to buy some songs and an app.
Angela spent $35.41 on everything. How much
money does Angela now have in her savings
account?
Answers
Answer:
0 because she spent it all
Step-by-step explanation:
35.41-35.41= 0
and why are songs $35.41
I just need level two and three solved please
Answers
Answer:
intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)Step-by-step explanation:
You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).
InterceptsWriting the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -2 = 1/2(x -(-1)) . . . . . using given slope and point
2y -4 = x +1 . . . . . . . . . . multiply by 2
x -2y = -5 . . . . . . . . . . . . add -1 -2y
Setting x=0 tells us the y-intercept is ...
0 -2y = -5
y = -5/-2 = 5/2
So, the y-intercept is (0, 5/2).
Setting y=0 tells us the x-intercept is ...
x -2(0) = -5
x = -5
So, the x-intercept is (-5, 0).
Arbitrary pointIt will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...
x -2y = -5
x = -5 +2y = -5 +2(6) = 7
Another point on the line is (7, 6).
__
Additional comment
If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.
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3
4
3
2
3
Which expression is equivalent to
?
ON
X
0
8
27
3
Answers
Answer:
2
Step-by-step explanation:
when it's multiplication exponent add up
so the one in the parentheses will be ( x^4/3 x ^2/3) = x ^ 4/3 +2/3 = x ^ 6/3
when you simplify it will give you x ^2
now the last step will be to multiple the exponent
x^ 2/3
Mai earns 51 dollars per week working part-time at a book store. She makes one dollar more fire each book that she sells. The amount, A (in dollars), that Mai earns in a week if she sells b books it's given by the following function A(b)=51+b how much does Mai earn in a week if she sells 38 books?
Answers
if she sells 38 books we get that
\(A(38)=51+38=89\)she earns $89
1. (- 17 )- (-19)- 212. 280- (105) - (134 ) =
I'll give you? please answer.
Answers
Answer:
23
Step-by-step explanation:
23
Answer:
-449.28
Step-by-step explanation:
I used a calculator
pls help me out with this
Answers
Step-by-step explanation:
"complimentary" means together they have 90°.
"supplementary" means together they have 180°.
which can be easily and quickly found on any internet search.
7.
A = 70°
A + B = 90°
70 + B = 90
B = 90 - 70 = 20°
B + C = 180°
20 + C = 180
C = 180 - 20 = 160°
8.
A + B = 90°
B + C = 180°
C = 100°
B + 100 = 180°
B = 180 - 100 = 80°
A + 80 = 90
A = 90 - 80 = 10°
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Answers
The solution is : the measure of angle A is 150°.
We have,
First a diagram which looks like a 12 sided figure where all the sides are equal.
Now draw 2 consecutive radii.
There are 12 such triangles in a 12 sided polygon.
These triangles have an apex angle of 360 / 12 = 30 degrees.
The other two angles making up the triangle are both equal.
Therefore x + x + 30 = 180
2x = 150
x = 75
But 75 is 1/2 of the interior angle.
There are 2 such angles making up the interior angle 75 + 75 = 150.
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Could y’all help me out with this?
Answers
Answer:
M' (5,-1)
D' (5,1)
A' (3,4)
W' (4,-1)
Step-by-step explanation:
We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.
We can find these coordinates by following the following rule:
Reflection over y = x rule : ( x , y ) ---> ( y , x )
Explanation of rule: Simply swap the places of the x and y values.
Applying rule to given coordinates:
M(-1,5) -----> swap x and y values -----> M'(5,-1)
D(1,5) ----> swap x and y values -----> D'(5,1)
A(4,3) -----> swap x and y values -----> A'(3,4)
W(-1,4) -----> swap x and y values -----> W'(4,-1)
So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)
For more validation, refer to the attached image
The weekly salary of a security guard, $S, is based on the formula, S=B+8H where B is the basic wage in dollars, and H is the number of hours he is on duty per week.
(a) Given that the security guard received $710 for a total of 45 hours of work in a particular week, find the basic wage.
(b)
(i) Calculate the salary he received after working for 42 hours in one week.
(ii) At the end of another week, the security guard earned $662. Find the number of hours worked that week.
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ty! ~
Answers
Answer:
A. 350
B. (i) $686 (ii) 39 Hours
Step-by-step explanation:
Based on what's given..
A)
\(\sf S=B+8H\)
\(\sf 710=B+8\times45\)
\(\sf 710=B+360\)
\(\sf B=710-360\)
\(\boxed{\sf B= 350}\)
B)
(i)
\(\sf S=350+8\times42\)
\(\sf S=350+336\)
\(\boxed{\sf S=686}\)
(ii)
\(\sf 662=350+8H\)
\(\sf 8H=662-350\)
\(\sf H=312 \div 8\)
\(\boxed{\sf H=39}\)
2 kg mass is placed at the end of a lever which is 20 cm from the pivoting point. If the mass is transferred to other side of the lever which is 10 cm from the pivot, then what will be the effective mass? a. 2 kg b. 20 kg c. 8 kg d. 25 kg
Answers
The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .
In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,
Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:
= Mass × distance of its center of gravity from the pivot
Let M be the effective mass that we have to find. Then, we have:
2 kg × 20 cm
= M × 10 cm40 cm
= 10 M4
= MM
= 4
Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.
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How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)
Answers
Answer:
2(4)-3+5
Step-by-step explanation:
8-3+5
13-3
10
Answer:
i would say a
Step-by-step explanation:
Allison works in a department store selling clothing. She makes a guaranteed salary
of $350 per week, but is paid a commision on top of her base salary equal to 15% of
her total sales for the week. How much would Allison make in a week in which she
made $300 in sales? How much would Allison make in a week if she made x dollars
in sales?
Answers
Answer:
x=332
Step-by-step explanation:
Given the information in the diagram, which lines can be proven to be parallel? Choose all which are true.
Answers
Lines 'a' and 'c' are parallel lines.
We have to given that,
There are three lines are shown in image.
We know that,
In a parallel line,
If two angles are alternate angles then both are equal to each other.
And, If two angles are corresponding angles then both are equal to each other.
Now, From the given figure,
In lines a and c,
Corresponding angles are 65 degree.
Hence, We can say that,
Lines a and c are parallel lines.
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Which of the follow transformations will always result in a figure the same size as the original figure, l. Rotation, ll. Reflection, lll. Translation
Answers
I, II, and III
According to Ohm’s law, which is stated as I = V ÷ R, which two sentences are true?
Answers
Answer:
2nd and 3rd
Step-by-step explanation:
Answer:
-If the resistance decreases, then the current increases. Assume voltage is constant.
-If the voltage increases, then the current increases. Assume resistance is constant.
Step-by-step explanation:
I took this test.
Hope this helps!
x + y = 2, -2x + 4x = 2
System of Equations
Answers
Answer:
\( - 2x + 4x = 2 \\ 2x = 2 \\ x = 1 \\ \\ 1 + y = 2 \\ y = 1\)
Answer:
\(x=1\\y=1\)
Step-by-step explanation:
Solve by substitution:
\(x+y=2\\-2x+4x=2\)
\(2x=2;x+y=2\)
Solve \(2x+2\) for x:
\(2x=2\)
\(x=2/2\)
\(x=1\)
Substitute 1 for x in \(x+y=2\)
\(x+y=2\)
\(1+y=2\)
\(y=2-1\)
\(y=1\)
\(x=1\) & \(y=1\)
hope this helps...
Intercept Form
Point (-3,4)
Slope 5
m= b=
Answers
Answer:
y = 5x + 19
Step-by-step explanation:
y = 5x + b
4 = 5(-3) + b
4 = -15 + b
19 = b
Find the value of x in the triangle shown below.
Answers
Answer: 102 degrees
Step-by-step explanation:
This is an isosceles triangle because two of the sides are the same length which means that two angles are congruent as well.
180-(2(39))
=180-(78)
=102
a square pyramid A is similar to pyramid the volume of pyramid are 1224 cubic.meters and 73 cubic meters the height of pyramid A is 18 meters. what are the possible lengths of one side if pyramid B's base? plz help
Answers
Answer:
i dont know tryna get points
Step-by-step explanation:
is -3 greater than 2?
Answers
Answer:
no it isn't. -3 is less than 2.
Step-by-step explanation:
Answer:
No -3 is less than 2.
Step-by-step explanation:
No -3 is less than 2, because its a negative number.
Please help meeee !!!!!
Answers
First we find number of passengers on each train.
4752/3 = 1584
Each train has 1584 passengers and 8 cars.
To find passengers per car, divide 1584 by 8.
198
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
hi can u help me 0lss
Answers
Answer:
first blank is 55
second blank is 121
Step-by-step explanation:
Hope this helped :)
Answer:
55 and 121
Step-by-step explanation:
22/11 =2 55/11=5 121/11=11
Hope this helped and if you can can i have a brainliest thank you
slope = 1/2 x-intercept = 9
put in y=mx+b form
Answers
Answer:
y = 1/2x - 9
Answer:
y = 1/2x - 9/2
Step-by-step explanation:
if the x-intercept is (9,0) and the slope is 1/2 we can find the y-intercept ('b'):
0 = 9(1/2) + b
0 = 9/2 + b
-9/2 = b
PLEASE HELP ME WITH THIS
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!
Answers
Answer:
408
3 percent of 300 is 9.
So it is $9 every month times 12 months
is equal to 108 so add the 300 on top of the 108 = 408
Step-by-step explanation:
Plz help brainiest to the correct answer
Answers
1. -2 + 15 = 13
If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.
2. The temperature rose 15 degrees
-6 + 9 = 15
Answer:
1 a) 13 degrees Celsius
b) By fifteen degrees
The diameter of a circle is 6 meters. What is the length of a 30° arc?
Answers
The length of a 30° arc of a circle with a diameter of 6 meters can be calculated using the formula L = θ/360 * π * d, where L is the length of the arc, θ is the angle of the arc in degrees, d is the diameter of the circle, and π is the mathematical constant approximately equal to 3.14. Plugging in the values given in the question, we get L = 30/360 * 3.14 * 6 = 3.14 meters. So, the length of the 30° arc is approximately 3.14 meters.
A line passes through the point (-8, 2) and has a slope of -1
Answers
Answer:
y=-x-6
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. We know that it passes through (-8,2) so y1=2 and x1=-8. We also know that the slope is -1 so we can now fill in the equation. y-2=-1(x--8). We can change x--8 to x+8 so y-2=-1(x+8). Simplify this to get y-2=-x-8. You want to isolate y so you have to add 2 on both sides. y=-x-6. Therefore, the equation is y=-x-6.
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4(x + 3) ≤ 0 or x+1/4>3
Answers
Answer:
4x+12 ≤ 0 or 4x+1>3
4x ≤ -12 or 4x+1 > 3
x ≤-3 or x >1/2