Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
The duration of decay is the same as the half-life of radium, therefore,
half the mass of radium will remain after 6 years.
Response:
The amount of the sample that remains after 6 years is 0.75 mgWhich method is used to find the mass of the radioactive substance, radium, that remains over time?The given mass of the sample of radium, N₀ = 1.5 mg
The half-life of radium = 6 years
Required:
The amount of the sample that will remain after 6 years
Solution:
Let N(t) represent the mass of the sample that remains after 6 years, we have;
[tex]N(t) = \mathbf{N_0 \cdot \left(\dfrac{1}{2} \right)^{\dfrac{t}{t_{1/2}} }}[/tex]
Which gives;
[tex]N(6) = \mathbf{1.5 \times \left(\dfrac{1}{2} \right)^{\dfrac{6}{6} }} = 0.75[/tex]
The amount of the sample of radium that remains after 6 years, N(6) = 0.75 mgLearn more about half-life of radioactive substances here:
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Explain how you could use the line y = x to verify the inverse of the relation
Answer:
Step-by-step explanation:
You would reflect the graph of the relation through the line y = x; this is the equivalent of mapping each point, (x, y), to (y, x).
I need help finding the length of the segment RS.
Answer:
14.25
Step-by-step explanation:
5.7*5/2=14.24*2/5, and 5.7*5/2=14.25
An lon has a net charge of 3. If this ion has 8 protons, how many electrons does it have?
OA 3
OB. 5
OC. 7
OD. 8
O E. 11
Answer:
A charge of three means that it loses 3 electrons for stability.
Hence electrons = 8 + 3
= 11
1 one to answer it correctly gets 17 points :3 and 5 stars
Answer:
I can't see it can you take a clean shot of the question
Answer:
square
Step-by-step explanation:
2 sides are horizontal and two sides are vertical making 4 right angles. All 4 sides have length 6, so it's a square.
Write a fraction that is equivalent to 3/4 . Use / for the fraction line.
plz i need help
Answer:
There's: 6/8
Step-by-step explanation:
1/4 = 2/8
3 x 2 = 6
6/8 = 3/4
Answer:
There's: 6/8
Step-by-step explanation:
1/4 = 2/8
3 x 2 = 6
6/8 = 3/4
find the slope of the line through each pair of points (12, -18) & (-15, -18)
Answer:
0
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-18 + 18) / (-15 - 12)
0 / -27
= 0
So, the slope is 0.
Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}
Answer:
the third one
Step-by-step explanation:
x+2<-5
x<-5-2
x<-7
#3) Simplify: 5(j - 3) - (2j + 2) I might ask for help in a bit just plz help I’m not good with math
Answer:
5j-15-2j+2= 3j-13
Step-by-step explanation:
5 times j
5 times 3
minus the ones with the letters
then the ones without
and u get the answer
hope this helps!
Who can answer this?
Answer:
nonliner and linear c.
Step-by-step explanation:
kkkkkkkkkkkkkkkkkkkk
.....pleazeeeeeeee helpppppppppp
Answer:
25
Step-by-step explanation:
25 POINTS PLEASE HELP!Which point represents the ordered pair (-2 1/4, 2/3)
Step-by-step explanation:
For the ordered pair (-2.25, 2/3),
the x value -2.25 should lie between -2 and -3.
Similarly,
The y-value 2/3 should lie between 0 and 1.
The best answer here is point S.
Write a function g whose graph represents the
indicated transformation of f.
f(x) = 2x + 4; translation 7 units left
Answer:
eew3fe
Step-by-step explanation:
How many tiles each 30cm by 30cm will be needed for floor
not possible .. what are the dimensions
Answer:
Yes not possible but with dimensions
Hers an example
Step-by-step explanation:
Since the tiles are in cm
2
, we have to convert the dimensions of the hall to cm first. It will be 1500 cm by 1200 cm. Hence the area of the floor is
1500×1200=1800000cm
2
.
Area of each tile is 30×20=600cm
2
. Hence the number of tiles required to cover the floor is:
600
1800000
=3000.
Please solve and explain how you did
Answer:
[tex]x { - 5}[/tex]
Step-by-step explanation:
You would times the 5 by the negative 1 to guve you the answer
Answer:
[tex] \frac{1}{x ^{5} } [/tex]Step-by-step explanation:
[tex]( {x}^{5} ) ^{ - 1} [/tex]
[tex] {x}^{ - 5} \: (as \: ({x}^{a}) ^{b} = {x}^{ab} )[/tex]
[tex] \frac{1}{x ^{5} } (as \: x ^{ - 1} = \frac{1}{x} )[/tex]
Granma bought a dozen winter lollipops. The lollipops cost $12 for 24 lollipops. She also buys three winter cakes that cost $28 each. How much money did she spend?
Answer:
108 dollars
Step-by-step explanation:
Cause first you have to find the unit rate of one lollipop which is 2 and then multiply that by a dozen which is 12 and you add that to the product of 3 times 24 which is 84 and 84 plus 24 gives you 108 and then you put the unit on it dollars so 108 dollars
Solve for c in the equation a=b-c/c
Answer:
[tex]a = \frac{(b - c)}{c} \\ ac = (b - c) \\ ac + c = b \\ c(a + 1) = b \\ c = \frac{b}{(a + 1)} [/tex]
hope this helps.
How do I do this? It's about systems of linear equations.
Answer:
The cost of an adult ticket is $6
Step-by-step explanation:
You can solve by either substitution or elimination
Let A rep. cost of an adult ticket
Let C rep. cost of a child ticket
9A+12C=$138
3(12A+4C=$100)
- 9A+12C=$138
36A+12C=$300
-------------------------------
-27A/-27 = -162/-27
A= 6
⚠️ HELP ⚠️⚠️ I don’t understand ⚠️
Answer:
c and a are the correct answers
Answer:
A, B and C
Step-by-step explanation:
In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.
Answer:
The data is skewed left with an outlier.
Explanation:
Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.
Kevin made 3 gallons of Iced Tea for a party. How many quarts of Iced Tea did Kevin make?
Show the equation y =1/
3x +7
- 7 in standard form
Answer:
1/3x
Step-by-step explanation:
Let's simplify step-by-step.
1/3x+7−7
= 1/3x+7+ (-7)
Combine Like Terms:
= 1/3x+7+(-7)
(1/3) + ( 7 + (-7)
= 1/3x
Which expression is equivalent to (3 / x − 2) − 5 / 2 − (4 / x − 2) ?
Answer: d
Step-by-step explanation:
Please help, i’m so confused !
Answer:
The closest integer to the square root of 2 is 1.
Solve log x = 2. 2 20 100 1,000
Answer:
C
Step-by-step explanation:
100
1.5 of x is 30
Happy new year btw
Answer:
20
Step-by-step explanation:
'of' means multiplication
'is' means equals
1.5x = 30
x = 30 ÷ 1.5
x = 20
I need help on this question.
Answer:
1410
Step-by-step explanation:
they said they would spend 3000 more than last year. it said this years budget is 4410.
Question 1 of 10
What is the volume of the cylinder below?
A. 204572 units3
B. 96877 units3
C. 35217 units3
D. 18157 units3
Answer:
The answer would be D. 18157 units3
The volume of the cylinder with height 15 units and radius 11 units is 1815 units³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that, a cylinder with height 15 units and radius 11 units we need to find the volume of the same,
So, the volume of the cylinder is = π × radius² × height
= π × 11² × 15
= 1815π
Hence, the volume of the cylinder is 1815 units³
Learn more about volumes click;
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Which of these could be the area of an shape?
25m
10ft^3
7ft^2
Answer:
[tex]7 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area is always in square units.
Because length times length is equal to area.
[tex]length \: ft \: \times lenght \: ft = \: area \:{ft}^{2} [/tex]
5. Leyla will roll a number cube 1-4 and flip a coin. The coin can land on heads or tails. If Leyla rolls the number cube once and flips the coin once, which list contains only the outcomes in which the number cube land on a number greater than 3?
Answer:
{4H, 4T}
Step-by-step explanation:
The list that contains only the outcomes where the number cube is more than 3 is given below:
Sample space is
= {1,2,3,4}
The results more than 3 is
S = {3}
After this, the sample space i.e. C when the coin is fippled is
C = {H, T}
Here H denotes the Head
T denotes Tail
So, the outcomes would be
= {4} + {H,T}
= {4H, 4T}
What is a irrational and rational number?
Answer: pi and e are irrational whereas 3/9 repeats like 420/1001 but are rationalized into the fractions above ratio is a fraction
Step-by-step explanation:
