D. Subtract (2×18)
from 36. The quotient is 32.
would be the answer
Answer:
The smaller angle will be "156°".
Step-by-step explanation:
According to the question,
Before 12, the minute hand at 48 minutes:
=
= (minutes to 12)
So,
=
=
hence,
The smaller angle will be:
=
=
Remove parentheses and combine like terms...
then subtract constants from both sides
isolate variables and constants
use the division property and solve for x
Answer:
y = 3x + 22
Step-by-step explanation:
y - 7 = 3(x+5)
Distribute,
y - 7 = 3x + 15.
Add 7 to both sides.
Final answer, y = 3x + 22.
Hope this helps!
Answer:
10. ⅔ − ∛e
11. 79 + 3√3
Step-by-step explanation:
10. ∫ (1 + 1/x) dx
∫ dx + ∫ (1/x) dx
These are both standard integrals.
x + ln|x| + C
Evaluate between x = ∛e and x = 1.
(1 + ln|1| + C) − (∛e + ln|∛e| + C)
1 + 0 + C − ∛e − ⅓ − C
⅔ − ∛e
11. ∫₁³ (4x³ + ³/₂√x) dx
∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx
(x⁴ + x^(³/₂) + C) |₁³
(x⁴ + x√x + C) |₁³
(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)
81 + 3√3 + C − 1 − 1 − C
79 + 3√3