Answer:
b= -1.6
Step-by-step explanation:
Y=1x -1
this is because you only change the z intercept when lines are parallel
Answer:
The inner function is
.
The outer function is
.

Step-by-step explanation:
The inner function is the one we apply the outer function to.
So

We apply the outer function tangent to
.
So, the inner function is
.
The outer function is
.
The derivative of a compositve function
in which
is given by the following function.

So




So


Answer:
The probability that the customer must open 3 or more bottles before finding a prize is 0.64
Step-by-step explanation:
In order for a customer to have to open at least 3 bottles before winning a prize, then the first two bottles shouldnt have a price. The probability that a bottle doesnt have a price is 1-0.2 = 0.8. Since the bottles are independent from each other, then the probability that 2 bottles dont have a prize is 0.8² = 0.64. Therefore, the probability that the customer must open 3 or more bottles before finding a prize is 0.64
Answer:
Surface area = 6l^2
Volume = l^3
If total surface area increased by 2, then the length increased by 
Volume then is increased by (
l)^3 = 2
l^3
1 :2 
Which is not an option in the question so this question clearly has a problem.
First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.
Second of all, if the answer is 8:1 the question should be "If <u>each sides</u> of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.
Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled <u>by doubling the height and without changing the length and width</u>" But, then the the shape would no longer be a cube.
Who even wrote this garbage question what.