Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Answer:
3^(2/15)
Step-by-step explanation:
Ask in comments if you want.
Buzz has 4 friends and Brock has 6.
The reason being is that Buzz has to have two less friend than Brock has, and yet still both have to add up to ten.
Answer:
2.) 7.8
Step-by-step explanation:
We can use Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 6^2 = c^2
25+36 = c^2
61 = c^2
Take the square root of each side
sqrt(61) = sqrt(c^2)
7.810249676 = c
The first thing we should know in this case is that by definition the flow of liquid is given by:
Q = V / t
Where,
V: volume
t: time
The volume of the cone is given by:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Substituting the values we have:
V = (3.14 * ((3) ^ 2) * 7) / (3)
V = 65.94 in ^ 3
We now turn off the time of the flow equation:
t = V / Q
Substituting values:
t = (65.94) / (14)
t = 4.71 minutes
Answer:
It will take for all the liquid in the funnel to pass through the nozzle about:
t = 4.71 minutes
