Which side of the football field is the strong side?
Some offensive systems designate the strong side as the side which is farthest from the sideline; for example, if the ball is on the right hashmark, strong side is on the left side of the ball, and vice versa. This is more often used in Canadian football, as with 12 players on the field a balanced formation is possible.
Why is it important to know the reverse process of multiplication?
To cross-check that a multiplication is correct as for example if 7*8 = 56 then the reverse process of division must be correct as 56/7 = 8 or 56/8 = 7
That doesn't factor neatly. Applying the quadratic equation, we find two real solutions:
(0 plus or minus 2 times the square root of 5) divided by 5.
x = 0.89442719
x = -0.89442719
If you had an x in there, it would come out nicer. 5x2 + x - 4 = (x + 1)(5x - 4)
What information do you need to know in order to prove the triangles are congruent?
That the sides are equal in length and the interior angles are the same sizes
What is deterministic and probabilistic system?
In my understanding the probabilistic is a system that you can predict but no 100% like deterministic system. In other words the result is randomness i.e it can have many different results instead of single results.
What are the applications of calculus?
Many, many applications. Calc is the basis of all higher math, for one. It's used intensively by scientists, engineers, economists, and computer programmers to name a few. Calculus attempts to model the natural world, so any profession that attempts to model natural phenomena can and should use calculus.
Fourier transform of unit step function?
we proceed via the FT of the signum function sgn(t) which is defined as:
sgn(t) = 1 for t>0 n -1 for t<0
FT of sgn(t) = 2/jw where w is omega n j is iota(complex)
we actually write unit step function in terms of signum fucntion : n the formula to convert unit step in to signum function is
u(t) = 1/2 ( 1 + sgn(t) )
As we know the FT of sgn(t) we can easily compute FT of u(t).
Hope i answer the question
Mycosis, or fungal infections, multiply through a process called sporulation where fungal spores are released and spread to new environments. These spores can survive in various conditions and can germinate into new fungal cells when they find a suitable environment with the necessary nutrients and moisture. Additionally, some fungi can also reproduce through budding or fragmentation of hyphae.
How can you express the concentration of a substance mathematically?
In chemistry, the concentration of a substance in solution is determined by molarity, which is symbolized by "M". This indicates the number of moles of a substance dissolved in one liter of a solvent (usually water).
For example:
- 1 mole of sodium chloride = 58 grams
- If 116 grams of sodium chloride are dissolved in 1 liter of water, then that solution is a 2-molar (2 M) solution of sodium chloride.
- If 232 grams of sodium chloride are dissolved in 1 liter of water, then that solution is a 4-molar (4 M) solution of sodium chloride.
How many triangles are there within a nonagon?
if you need to know how many triangles are in a polygon ... just take the number of its sides and subtract for example.
nonagon has 9 sides so it will be 9-2=7
so, a nonagon has 7 triangles
What are the advantages of the finite element method?
Models Bodies of Complex Shape
- Can Handle General Loading/Boundary Conditions
- Models Bodies Composed of Composite and Multiphase Materials
- Model is Easily Refined for Improved Accuracy by Varying
Element Size and Type
Difference between fourier series and z-transform?
Laplace = analogue signal
Fourier = digital signal
Notes on comparisons between Fourier and Laplace transforms:
The Laplace transform of a function is just like the Fourier transform of the same function, except for two things. The term in the exponential of a Laplace transform is a complex number instead of just an imaginary number and the lower limit of integration doesn't need to start at -∞. The exponential factor has the effect of forcing the signals to converge. That is why the Laplace transform can be applied to a broader class of signals than the Fourier transform, including exponentially growing signals. In a Fourier transform, both the signal in time domain and its spectrum in frequency domain are a one-dimensional, complex function. However, the Laplace transform of the 1D signal is a complex function defined over a two-dimensional complex plane, called the s-plane, spanned by two variables, one for the horizontal real axis and one for the vertical imaginary axis. If this 2D function is evaluated along the imaginary axis, the Laplace transform simply becomes the Fourier transform.
How many cubic yards are in a sidewalk that's 48in wide by 40ft long by 3.5 in thick?
1 cubic foot = 1,728 cubic inches
1 cubic yard = 27 cubic feet = 46,656 cubic inches
1 ft = 12 inches
40 ft = 480 inches
Volume of the walk = (48" x 480" x 3.5") = 80,640 cubic inches = 1.7284 cubic yard (rounded)