Answer:

Step-by-step explanation:
We have the product,
.
It is known that,
'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.
So, we get,
.
⇒ 
⇒ 
So, the resulting product is
.
Answer:
Population of the 48th generation will be 4469.
Step-by-step explanation:
Recursive formula by which the population is increasing,

L₀ = 4
Common difference 'd' = 95
Recursive formula represents a linear growth in the population.
Therefore, explicit formula for the given sequence will be,
= L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]
Here n = Number of terms
L₄₈ = L₀ + (48 - 1)(95)
= 4 + 4465
= 4469
Therefore, population of the 48th generation will be 4469.
Toby ...
Look at the drawing I made.
It's attached to my answer.
You can count the blocks.
Also ... stay inside tonight.
There's still going to be more rain around here.
Good luck.
√10x-24 = x
Step by step solution :
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√10x-24 = x
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√10x-24)2 = (x)2
After squaring
10x-24 = x2
STEP
3
:
Solve the quadratic equation
Rearranged equation
x2 - 10x + 24 = 0
This equation has two rational roots:
{x1, x2}={6, 4}
STEP
4
:
Check that the first solution is correct
Original equation
√10x-24 = x
Plug in 6 for x
√10•(6)-24 = (6)
Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6
STEP
5
:
Check that the second solution is correct
Original equation
√10x-24 = x
Plug in 4 for x
√10•(4)-24 = (4)
Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
Answer:
It's 900,000,000
Step-by-step explanation:
Multiply them all together.