He is 30th place behind white tail deer, warthog, grizzly bear, and house cat
Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
Answer:
20 males and 7 females
Step-by-step explanation:
Let's say the number of females is x and the number of males is y.
We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.
There are 13 fewer females than males, so: x = y - 13.
Now, we can use substitution to solve this system of linear equations.
Since x = y - 13, we can plug in y - 13 for x in x + y = 27:
x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20
Then, we use this value of y to solve for x:
x = y - 13 = 20 - 13 = 7
Thus, there are 20 males and 7 females.
Hope this helps!
I think you meant "wide." :) Since it is a pipe, you should know that it is the shape of a cylinder. Therefore, the formula would be: πr^2h. Substitute the height for h. (π(4.5)^2(13). Since it's 9 cm wide total, divide it by 2 to get the radius (part of formula), which is 4.5 So multiply π times 4.5^2 (which equals 20.25) times 13. This all will equal 826.605. You can simplify this decimal to 827. Therefore, the volume is 827 cm^3.
Answer:
Step-by-step explanation:
x- int
1/3x - 2/3 = 0
1/3x = 2/3
3(1/3x = 2/3)
x = 2
(2, 0)
y- int
y = 1/3(0) - 2/3
y = 0 - 2/3
y = -2/3
(0, -2/3)
