Answer:
9 hrs and 10 mins
Step-by-step explanation:
We can convert this into a proportion. 50/45 = x/495. Cross-multiply to get 45x = 50*495. Divide both sides by 45 to get x = 50*11 = 550 minutes or 9 hrs and 10 mins
Differentiate with respect to x and y
2x +10 y y' = 0
get y' alone
y' = -2x/(10 y)
reduce
y'=-x/(5y)
continue with quotient rule of differentiation
y'' = ( 5y(-1) - (-x) (5y')) / (5y) squared
y'' = (-5y + 5xy') / (25y squared)
reduce by dividing each term by 5
y" = (-y +xy') / (5y squared) answer
Now if the teacher wants you to continue so no y or y' shows
substitute y' = -x/(5y) and y = square root ((5-x squared) / 5)
and simplify
(a) Find the height of the ball (in feet) above the ground 2 s after its released.
That's just h(2)
h(2) = -16(2²) + 80(2) + 4 = -64 + 160 + 4 = 100
Answer: 100 feet
(b) Find the height of the ball (in feet) above the ground 4 s after its released.
That's just h(4)
h(4) = -16(4²) + 80(4) + 4 = -256 + 320 + 4 = 68
Answer: 68 feet
Answer:
Step-by-step explanation:
7. 1/4 of 84 is 21, then 1/3 of that is 7
Answer:
(5a+4c)(2a-b)
Explanation:
Given the expression:
First, group the expression into two:
• In the first group, 5a is a common factor.
,
• In the second group, 4c is a common factor.
Factor these out by dividing each term by the GCF of each group.
Since the terms inside the brackets are the same, combine:
CHECK
To check if your result is correct in cases like these, expand as follows:
Our result is the same as the original question, hence, the work is correct.