Answer:
56 days
Explanation:

where A is final amount, Ao is initial amount, t is time taken, h is half life
Here given:
initial amount: 400 millicuries
final amount: 3.125 millicuries
half life: 8 days
time taken: ?
Hence solve for time taken:

<u>insert values given</u>

<u>divide both sides by 400</u>

<u>apply exponent rule</u>
<u />
<u>simplify</u>

<u>multiply both sides by 8</u>

Answer:
32.85 is that rounded to the nearest hundredth
Answer:
x= -10
Step-by-step explanation:
We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.
We know that area of triangle is half the product of its base length and height.
Since our given triangle is a right triangle, so its base and height will be legs of right triangle.




This means that product of two bases is 60.
Now we need to find two multiples of 60 such that they are make a right triangle.
Multiples of 60:
1, 60
2, 30
3, 20
4, 15
5, 12
6, 10
We know that (5, 12 and 13) is a Pythagoras triplet.



Therefore, the hypotenuse of right triangle is 13 units.
Answer:
y = 3x-5
Step-by-step explanation:
The slope of the line on the graph is -1/3. Perpendicular lines have slopes which are negative reciprocals of each other. This makes the slope of the new line 3.
Substitute the values m=3 and the point (3,4) into point slope form and simplify.
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x -9 + 4
y = 3x - 5