a-7=3(b+2)
1. Simplify/Combine like terms
a-7=3b+6
2. Remove a variable
a-7-a=3b+6-a
7=2b+6
3. Isolate the variable
7-6=2b-6
1=2b
4. Divide
1/2=2b/2
b=1/2
1/2g?
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
Step-by-step explanation:
we can find the value of c by Pythagoras theorem
according to Pythagoras theorem
h² = a² + b²
where
h = hypotenuse (i.e. longest side of a right angled triangle)
a = side
b = base
so, we have to find h or hypotenuse here
h² = (24)² + (18)²
h = 576 + 324 = 900
h² = √900 = 30
c = 30
therefore, value of c is 30.
Hope this answer helps you dear!
Answer:
Step-by-step explanation:
Answer:
300 liters
Step-by-step explanation:
If he uses 15, 2 liter bottles in a week,
then 15 * 2 = 30 liters in a week.
If he uses the same rate in 10 weeks then,
10 * 30 = 300 liters
