Answer:

Step-by-step explanation:
We are given that
Initial value problem
, y(3)=4
Substitute the value 
When t=3 and y=4 then
z=3+4=7

Differentiate z w.r.t t
Then, we get



Integrate on both sides


Substitute t=3 and z=7
Then, we get




Substitute the value of C then we get






Answer:
16.075 is the answer.
Step-by-step explanation:
16.075 is the answer. I hope this helps. You divide
64.3/7
=16.075
Answer:
Step-by-step explanation:
The formula for <u>exponential growth</u> is y = ab^x.
To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.
N(t) = 48 * 11/6^(t/3.5)
This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.
First, you need to put them in order
53kg, 55kg, 61kg, 61kg, 76kg, 91kg, 98kg, 105kg, 120kg
For mean, you add them all up and divide by the amount of numbers (9)
720/9 = 80
For median, you find the middle number (76kg)
For mode, you find the number that appears the most (61kg)
Mean: 80
Median: 76
Mode: 61
Answer:
For 10 tosses we have that E(X)=10
Therefore E(i)= 1/10 +2/10 +3/10....10/10
This implies that 40/10=E(i)
Therefore E(10) =40/10
= 4.