The total weight of the two fish together rounded to the nearest ten is 3.7kg
Answer:
Answer:
Kaya's answer is correct.
Step-by-step explanation:
The number of dots in successive figures are
8, 16, 24.
So Kaya's solution 8n is correct.
When n = 1, first square = 8*1 = 8 dots
n = 2: second square = 8*2 = 16
n = 3, 3rd square = 8*3 = 24.
If I have interpreted Kianna's formula correctly
for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2
= 0.
For this case we have the following polynomial:

We must find the greatest common factor of the terms of the polynomial.
The GCF of the coefficients is given by:

Then we look for the GFC of the variables:
We have then:

Finally rewriting we have:

Answer:
the complete factored form of the polynomial is:

Answer:
The solution of the equation
is
.
Step-by-step explanation:
Let
, we see that number of equation and variables are both the same and can be solved by algebraic means.
1)
Given
2)
Commutative property
3)
Compatibility with addition/Associative property
4)
Additive inverse/Modulative property/Definition of substraction/Result
The solution of the equation
is
.
Answer:
The general solution of the equation is y =
+ 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =

3y =
+ 5
dividing through by 3, we have
y =
+ 5
So, the general solution of the equation is y =
+ 5