Answer:
El productor tiene que envasar 960 huevos.
Step-by-step explanation:
Es necesario determinar el mínimo común múltiplo de 6, 12 y 30. En primer lugar, se determina cada número como productos de números primos:


El mínimo común múltiplo es:


El número total de huevos próximo a 1000 unidades es un múltiplo del mínimo común múltiplo:


El productor tiene que envasar 960 huevos.
Use trigonometry.
tan30° = perpendicular / base
Here for angle 30° , x is perpendicular while 10 is the base.
tan30° = 1/√3
1/√3 = x/10
x = 10/✓3
By rationalising
x = 10√3/3
Hope This Helps You!
Hello!
Judging on the questions you have provided I have come to the conclusion that to solve all of these you need to find the value of x by isolating it all on one side and simplifying.
For question #1 the first step would be to subtract 6 from each side.
The outcome should be -x=-6-12, and if simplified -x=-18.
Next, you want to divide each side by -1 because x needs to always be positive when finding the solution.
Your answer for #1 should be X=18, D.
For question #2 the first step you should take is to subtract 1.33 from each side to isolate x.
The outcome should be x=7.82-1.33, and if simplified x=6.49.
Thus your answer for #2 should be X=6.49, A.
For question #3 the first step you should take to approaching the equation is to isolate x by adding 15.99 towards each side of the equation.
The outcome should be x=58.06+15.99, and if simplified x=74.05.
Thus your answer for question #3 should be X=74.05, D.
Lastly, for question #4 the first step you should take towards isolating x is to divide the entire equation by 1.32.
Your outcome should be x= 6.8
Thus, your answer for the last question, #4, should be X=6.8, C.
Hope this helped!
-Blake
Answer:
15
Step-by-step explanation:
The general form of an exponential equation is ...
f(x) = (initial value)(growth factor)^x
That is, the "growth factor" is the base of the exponent. In your equation ...
f(x) = (1/5)(15^x)
the growth factor is 15.
The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.
When potential energy is completely converted to kinetic energy you have:
(mv^2)/2=mgh divide both sides by the mass m
v^2/2=gh multiply both sides by 2
v^2=2gh take the square root of both sides
v=√(2gh) and working with imperial units for acceleration due to gravity, g=-32ft/s^2
v=√(-64h) but the change of h as it falls is negative h so
v=-√(64h) so if an object falls from a height of 88ft we have:
v=-√(64*84)
v=-√5376
v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)
Note that this is the velocity, it is negative 73.32 ft/sec.
The question inadvertently asked for velocity and provided answers for SPEED. Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.
So its final speed is 73.32 ft/sec
So if they actually wanted velocity none of their answers is correct :P