I believe that the answer is 10 because the first bottle will be exposed to the light 3 times and then the next will be exposed 4 times and then the next 5 and so on so by the tenth bottle it will have been exposed 12 times by the time she drinks it.
The answer is 10
Answer:
slope=3,y-intercept=6
Step-by-step explanation:
Slope is the rate of change so It is an independent variable and has an x at the end
The y-intercept is the initial value which is technically the start off and the number 6 seems to be a dependent variable.
Answer: a) -6, b) 32, c) -48, d) 9, e) -12
Step-by-step explanation:
Since we have given that
A and B are 4 × 4 matrices.
Here,
det (A) = -3
det (B) = 2
We need to find the respective parts:
a) det (AB)
b) det (B⁵ )
c) det (2A)
Since we know that
so, it becomes,
d) 
Since we know that
so, it becomes,
e) det (B⁻¹AB)
As we know that
so, it becomes,
Hence, a) -6, b) 32, c) -48, d) 9, e) -12
Answer:
Perimeter of the rectangle = 8 x +4
Length of the rectangle = 12 units.
Step-by-step explanation:
Let the width of the rectangle as 'x' units.
So, length of the rectangle is 2 more than 3 x.
We can set up expression for length as 3 x+2.
Now, perimeter is sum of all side lengths of the rectangle.
So, perimeter = x+x+3 x+2 +3 x+2
Combine like terms,
Perimeter = 8 x+4
Now, it is given perimeter is 36cm
So,
8 x+4=36
Subtract both sides 4
8 x=32
Divide both sides by 8
x=4
So, width of the rectangle =4
Length =3(4) +2=14
19 is a prime number so 1, 19
hope this helps!
