Answer:
85.4054%
Step-by-step explanation:
3.16/3.7 × 100
Divide.
0.854054 × 100
Multiply.
= 85.4054
Answer:
Step-by-step explanation:
f(x)=4/5x^2+12x
For f(5)
: f(x) = 4/5(5)2 + 12(5)
= 4/5 × 25 + 60
= (4×5) + 60
= 20 + 60
= 80
Answer:
Option D. {7 + i√71 / 20, 7 – i√71 / 20}
Step-by-step explanation:
10m² – 7m + 3 = 0
Using formula method, the solution to equation can be obtained as follow:
10m² – 7m + 3 = 0
Coefficient of m² (a) = 10
Coefficient of –7m (b) = –7
Constant (c) = 3
m = –b ±√(b² – 4ac) / 2a
= – –7 ±√((–7)² – 4 × 10 × 3) / 2 × 10
= 7 ±√(49 – 120) / 20
= 7 ±√(–71) / 20
Recall:
–17 = –1 × 17
Thus,
7 ±√(–71) / 20 = 7 ±√(–1 × 71) / 20
Recall:
√–1 = i
Thus,
7 ±√(–1 × 71) / 20 = 7 ± i√71 / 20
= 7 + i√71 / 20 or 7 – i√71 / 20
Therefore, the solutions to the equation are:
{7 + i√71 / 20, 7 – i√71 / 20}
Answer:
3.5 to 20.5 hours
Step-by-step explanation:
The range of the sine function is -1 to 1, so the range of H will be ...
-8.5 +12 = 3.5
to
8.5 +12 = 20.5
The length of the day varies by 17 hours from 3.5 hours to 20.5 hours.
Answer:
Step-by-step explanation:
<u>Use the ratio to solve:</u>
<u>Cross multiply and solve for x:</u>
- 4.5x = 4.04*47.25
- 4.5x = 190.89
- x = 190.89/4.5
- x = 42.42
The answer is $42.42