Answer:
=15
Step-by-step explanation:
45-x% *45=38.25
(-45) x/100=38.5-45
(-45)x/100=(-6.75)
x=6.75 * 100/45
=<u>15</u>
Answer:
36.50$
Step-by-step explanation:
The power of the light bulb in this problem is
P = 100 W = 0.1 kW
And the light bulb is operated for a time of
t = 10 hours
per day.
The light bulb is operated over 1 year (365 days), so the number of hours of operation is:
So the total energy consumed by the light bulb is
We know that the cost of operation is
p = 10 cents/kWh
Therefore, the total cost will be:
So, 3650 cents, or 36.50$.
Least -> Greatest:
.4 ; 1.2 ; 1.7 ; 2.5 ; 3
Hope this helps!
To answer this question, we begin to transform the speed of revolutions per minute in radians per minute.
They tell us that the speed of the wheel is 3 turns in 6 minutes.
So:
1 revolution = 2π
(2π / 1 turn) * (3 turns / 6min) = 6π/ 6min = 1π / min.
The wheel turns π or 180 ° in one minute.
We already have the angular velocity w.
We know that the lowest point of the wheel is 4 meters above the ground and that it returns to the same point every 2π
Therefore, the function sought is periodic and must be equal to 4 for allvalues of time k, where k is an even number 2, 4, 6, 8, .., k
Then the function must have the form rsin(wt) where "t" is the elapsed time, "w" is the previously calculated angular velocity, and "r" is the radius of the wheel.
The minimum value of the function must be 4 and the maximum value 54.
Therefore, the function is:
h (t) = 4 + 25 + 25sin (π×t + 3π / 2)
Where 3π/ 2 is the phase angle, which indicates that the movement starts at the instant t = 0 at the lowest point of the wheel that equals 3π / 2.
You can verify the answer in the following way:
After 1 minute, the wheel should have rotated 180 ° or π. Therefore, the person must be at the highest point of the wheel and his height must be 54 m.
When you replace t = 1 in the formula, you get h = 54m
After 2 minutes, the wheel should have rotated 360 ° or 2π. Therefore, the person must be at the starting point and their height must be 4 m.
By replacing t = 2 in the formula you will get h = 4m
After 0.5 minutes, the wheel should have rotated 90 ° or π / 2. Therefore, the person must be in the right half of the wheel and his height must be 29 m.
When replacing t = 0.5 in the formula you will get h = 29m
1/5(3x - 0.5) + 1/6= x/5 + 0.5
change decimals to fractions (0.5=1/2)
1/5(3x - 1/2) + 1/6= x/5 + 1/2
multiply 1/5 by each term in parentheses
(1/5*3x) + (1/5*-1/2) + 1/6= x/5 + 1/2
multiply within parentheses
3x/5 - 1/10 + 1/6= x/5 + 1/2
need a common denominator; all denominators go into 30
18x/30 - 3/30 + 5/30= 6x/30 + 15/30
combine like terms
18x/30 + 2/30= 6x/30 + 15/30
subtract 6x/30 from both sides
12x/30 + 2/30= 15/30
subtract 2/30 from both sides
12x/30= 13/30
multiply both sides by 30 to eliminate fractions
(12x/30)(30)= (13/30)(30)
12x= 13
divide both sides by 12
x= 13/12 or 1.083333
ANSWER: x= 13/12 or 1.083333
Hope this helps! :)
