There are 20 saxophone players. For every 6 flutes there are 4 saxophones so if you do 6x5=30. Then you would do 4x5 and get 20. 30 flutes plus 20 saxophones = 50 total students
Log16 4 = 2
log base 16 then the number four then set that equal to 2
So basically what you have to do is first identify all of the sides or angles that equal eachother then you can see if you did a side side and side in a row etc, like 44 would be SAS because the vertical angles would be inbetween the two sides. 46 would be SSS because after you make the line in the middle for reflexive property you can see that there are three sides in a row. If this didnt help i recommend looking on Khan Academy
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
Answer:
Speed = 23809.52 cm/min
Step-by-step explanation:
Given : A car travels at constant speed for 7 days and covers 1500 miles.
To find : What is the speed in centimeters/minute
Solution : Formula to find speed is
Distance traveled = 1500 miles and time taken = 7 days
Now, we have to convert miles into centimeter and days into minutes.
1 day = 24 hours
1 hour= 60 minute
24 hr= 24×60 minute
1 day = 24×60 minute
7 days = 7×24×60 minute = 10,080 minute
Now, 1 mile = 8/5 km = 1.6 km
1 km= 100000 cm
1.6 km = 1.6 × 100000 cm
1 mile = 1.6 × 100000 cm
1500 miles = 1500×1.6 × 100000 cm = 240,000,000 cm
Put back the values into speed
Therefore, speed = 23809.52 cm/min
