Answer:
-12
Step-by-step explanation:
if a=-2 and b=-5
(18-(-2×-5))+4(-5)
(18-(10))-20
8-20
-12
just gotta plug in the given into the equation
Answer:
The answer is 6z-28
Step-by-step explanation:
20 - 3[4(z+1) - 6(z-2)]
= 20 - 3(4z+4-6z+12)
= 20 - 3(16 - 2z)
= 20 - 48 + 6z
= 6z - 28
The tangent to
at the point (0, 5) has a slope equal to the derivative evaluated at
.

This tangent passes through the point (0, 5), so its equation is

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

Answer: A.

Step-by-step explanation:
Null hypothesis
: A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.
Alternative hypothesis
: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.
Let p be the proportion of screens that will be rejected.
12 percent of the screens manufactured using a previous process were rejected at the final inspection.
(i.e. p= 0.12)
Objective of the study = whether the new process<em> reduces </em>the population proportion of screens that will be rejected
i.e. p< 0.12
So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

Answer-180cm3
Explanation-
The volume of a prism is base x height so v=bh
Here the base equals 4cm times 15m which gives 60cm.And then the height is 3cm.So the total is 15cmx4cmx3cm=180cm³