The correct answer is: AB = 3.11
Explanation:
Since

--- (1)

= 50°
base = 2
And hypotenuse = AB
Plug in the values in (1):
(1) => cos(50°) = 2/AB
=> AB = 2/0.643
=> AB = 3.11
Answer:
Step-by-step explanation:
From the information given;
We are to take a look at a 2⁵ factorial design.
The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.
An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.
Thus, there are five factors and 2 levels in the experiment.
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
Step-by-step explanation:
y=3x-5
6x+3y=15
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
+15 +15
15x=30
/15. /15
x=2
6(2)+3y=15
12+3y=15
-12. -12
3y=3
/3 /3
y=1
(2,1)
The answer is (2,1)
Answer:
no solutions
Step-by-step explanation:
3(-n+4)+5n=2n
Distribute
-3n +12 +5n = 2n
2n+12 = 2n
Subtract 2n from each side
12 = 0
This is never true so there are no solutions