Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
First, we calculate for the volume of each can by using the equation,
V = πr²h
Substituting the known values,
V = π(1.5 in)²(6 in) = 42.39 in³ (that is if 3.14 is used in replacement of π)
Then, we multiply the volume by 36.
total volume = (42.39 in³)(36) = 1526.04 in³
Step-by-step explanation:
4 is the answer to this question
First we convert 6 kg to grams which should be 6000 grams, since there are 1000 grams in one kg.
Subtract 2500 from 6000 and we get 3500 grams, which is your answer
Answer:
84
Step-by-step explanation:
x=6
y=8
z=6
z(x+y)
6 ×(6 +8)
6 ×14
84