Answer:
Option d. is the correct choice.
Step-by-step explanation:
8 can be written as √8 x √8 = √64
So, given expression will become:
= √64 x √6
= √384
Best Regards!
Answer:
x=-1 is a maximum vaue.
Step-by-step explanation:
To find the minimum and maximum values of the function f(x), we're going to derivate it:
f(x) = –5x^2 – 10x + 6 ⇒ f'(x) = -10x - 10
The points where f'(x) is zero, could be a maximum or a minimum. Then:
f'(x) = -10x - 10 = 0 ⇒ x=-1
Now, to know if x=-1 is a maximum or a minimum, we need to evaluate the original function for x when it tends to -1 from the right and from the left.
Therefore:
For x=-2:
f(x) = 6 (Positive)
For x=0:
f(x) = 6 (Positive)
For x=-1
f(x) = 11 (Positive)
Given that at x=-1, f(x) = 11, and then it goes down to 6 when x=0, we can say that it's a maximum.
Answer:
The launch angle should be adjusted to 30.63°
Step-by-step explanation:
The range of a projectile which is the horizontal distance covered by the projectile can be expressed as;
R =(v^2 sin2θ)/g
Where
R = range
v = initial speed
θ = launch angle
g = acceleration due to gravity
For the case above. When the projectile is launched at angle 13° above the horizontal.
θ1 = 13
R1 = (v^2 sin2θ1)/g
R1 = (v^2 sin26°)/g ....1
For the range to double
R2 = (v^2 sin2θ)/g .....2
R2 = 2R1
Substituting R2 and R1
(v^2 sin2θ)/g = 2 × (v^2 sin26°)/g
Divide both sides by v^2/g
sin2θ = 2sin26
2θ = sininverse(2sin26)
θ = sininverse(2sin26)/2
θ = 30.63°
Answer:
21.204
Step-by-step explanation:
20/50=2/5=0.4=40%
2/5 or 0.40 or 40%
They're all equal.
Hope this helps :)
