Answer:
It will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.
Step-by-step explanation:
We can write a half-life function to model our function.
A half-life function has the form:
Where <em>A₀</em> is the initial amount, <em>t</em> is the time that has passes (in this case seconds), <em>d</em> is the half-life, and <em>A</em> is the amount after <em>t</em> seconds.
Since the half-life of the element is 30 seconds, <em>d</em> = 30. Our initial sample has nine grams, so <em>A₀</em> is 9. Substitute:
We want to find the time it will take for the element to decay to 0.72 grams. So, we can let <em>A</em> = 0.72 and solve for <em>t: </em>
<em />
<em />
Divide both sides by 9:
We can take the natural log of both sides:
By logarithm properties:
Solve for <em>t: </em>
<em />
<em />
<em />
So, it will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.
Answer:
6x-11
Step-by-step explanation:
m=<u>y2-y1</u>
x2-x1
<u>-</u><u>1</u><u>7</u><u>-</u><u>-</u><u>5</u> = <u>-</u><u>1</u><u>2</u>
3-1. -2
The two negatives cancel ❌
m=<u>1</u><u>2</u>
2
Divide by 2
m=6
y=mx+b
-5= 6 (1) + b
-5= 6 + b
Subtract (6) from both sides
b= -11
The equation for the line is 6x -11
Since cube has all faces as Squares
perimeter of each face P = 22.2
as we know perimeter of a square is P = 4 * ( Sides of a square )
let the sides of the square be 'x'
Hence , 22.2 = 4 * x
=> x = 22.2/4
=> x = 5.55
hence the edge's length is 5.55
Note : if the length from edge to edge is asked then
Length of the Diagonal for a cube =
Hence we get edge to edge length as
√3 * 5.55 = 9.612
A ratio shows us the number of times a number contains another number. Caitlin is right.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,
M/S = 2/5
M = 2S/5
After 8 years, their ages will be in the ratio 1:2, therefore,
(M+8)/(S+8) = 1/2
2M + 16 = S + 8
2M - S = -16 + 8
Substitute the value of M,
2(2S/5) - S = -8
-0.2S = -8
S = 40
Now, if we substitute the value of S in the first ratio,
M/S = 2/5
M/40 = 2/5
M = 16
Now, if we take the difference in their ages the difference will be 24(40-16).
Since the difference is 24, we can conclude that Caitlin is right.
Hence, Caitlin is right.
Learn more about Ratios:
brainly.com/question/1504221
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Answer:
function
not a function
not a function
function
Step-by-step explanation:
