The question is incomplete, here is the complete question:
Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.
<u>Answer:</u> The half life of the sample of phosphorus-32 is 
<u>Step-by-step explanation:</u>
The equation used to calculate the half life of the sample is given as:
where,
m(t) = amount of sample after time 't' = 356 g
= initial amount of the sample = 500 g
t = time period = 7 days
h = half life of the sample = ?
Putting values in above equation, we get:
Hence, the half life of the sample of phosphorus-32 is
Answer:
m<R = m<T = 80.5 deg
Step-by-step explanation:
3)
Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.
m<WXZ = 8x - 19 = 45
8x - 19 = 45
8x = 64
x = 8
4)
Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.
The sum of the measures of the interior angles of a convex, n-sided polygon is
180(n 2).
A kite is a quadrilateral, so n = 4.
180(4 - 2) = 180(2) = 360
The sum of the measures of the interior angles of a kite is 360 deg.
m<Q + m<R + m<S + m<T = 360
75 + m<R + 124 + m<T = 360
m<R + m<T + 199 = 360
m<R + m<T = 161
m<R = m<T, so we substitute m<T with m<R.
m<R + m<R = 161
2m<R = 161
m<R = 80.5
m<R = m<T = 80.5 deg
The wall area is the product of the room perimeter and the room height:
A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²
The window and door area together is
A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²
The area of one roll of wallpaper is
A₃ = (2.5 ft)*(30 ft) = 75 ft²
Then the number of rolls of wallpaper required will be
1.1*(A₁ - A₂)/A₃ ≈ 4.74
5 rolls of wallpaper should be purchased.
_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
Answer:
Option 2: 27 is the correct answer.
Step-by-step explanation:
Given functions are:
As we can see that the function g(x) in written in terms of f(x), first of all we have to find g(x) by putting the value of f(x) in g(x)
So putting f(x) = x^2-2 in g(x)
As g(-3) has to be found, putting x=-3 in g(x)
Hence
Option 2: 27 is the correct answer.
Answer:
5 and 1/3 cups of soil
Step-by-step explanation:
Hello there, in this problem we can solve for the amount of soil that Katie will need by multiplying the factor for one of them by the number of pots we have, 8. We get 16/3 cups of soil, or 5 and 1/3 cups of soil.
Hope this helps!
-HM
