Answer: 14
Step-by-step explanation:
1/2 gallon =2 quarts, so add the 2 quarts and the 1 quart of ginger ale, plus the one pint of lemonade and this makes 14 cups of punch
Answer:
Range, Maximum, and y-intercept
Step-by-step explanation:
Range is the y-values of the function. Each of these functions has a range of (-inf, 10].
The maximum is the largest y-value that is part of the range, which is 10 for both functions.
y-intercept is where the function crosses the y-axis which is 10 for both functions.
Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s
b) 527/24 Ft²/s
c) 2/25 rad/sec
Step-by-step explanation:
a) b=7 ; a^2+b^2 = 25^2
a^2+b^2 = 625
Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.
b) Area of the triangle = 1/2 * b*h
differentiate wrt to time leads to the following relation:

c) sin (Θ) = b/25
differentiate it again to give

Answer:
⟨3, –5⟩ and ⟨6, –10⟩
Step-by-step explanation:
⟨3, –5⟩ cross ⟨6, –10⟩ = 0
⟨2, –3⟩ cross ⟨9, –6⟩ = 15
⟨–2, 3⟩ cross ⟨–6, –4⟩ = 26
⟨–5, 4⟩ cross ⟨–4, –2⟩ = 26
⟨3, –5⟩ and ⟨6, –10⟩