<span>Given:
Matrix = 60 elements</span>
<span>To solve this, we need to
take into account that each row must contain the same number of elements. So, we
need to find which of the options do not divide evenly into 60 (the options are
30, 60, 10, and 18).
So we check each of the choices to see if 1 of them divides evenly with 60.
60 / 60 = 1 (divides evenly)</span>
60 / 30 = 2 (divides
evenly)
<span>60 / 10 = 6 (divides
evenly)
</span>60 / 18 = 3.3.3333333333333333333333333333333 (does not divide evenly)
Therefore, 18 cannot equal the number of rows of the matrix.
Answer:
Part a: The coefficient of
is 
Part b: The number of terms are 23751.
Step-by-step explanation:
part a
From the given equation the

So the coefficient of any term
is given as

Similarly for the generic equation of coefficient of the term
in the equation of form
is given as

So now the coefficient of
is given as

The coefficient of
is 
Part b:
The number of terms is given as 
where m is the number of variables which are 5 here
n is the power which is 25 so the number of variables is given as

So the number of terms are 23751.
Answer:
The minimum width of the placemat is 10 inches.
Step-by-step explanation:
Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

Where:
- Width of the placemat, measured in inches.
- Diameter of pizza, measured in inches.
The area of the pizza, measured in square inches, is determined by this formula:

The diameter is cleared afterwards:

If
and
, then:


The minimum width of the placemat is 10 inches.
C. Phonograph were inferior in sound quality.
Step-by-step explanation:
Researches have shown that plants respond to the sounds of their pollinator.
Some plants begin to produce a greater amount of nectar and some begin to vibrate to attract the attention of the pollinators towards them.
Greater the intensity of the sound of the pollinator, the faster the reaction will be.
Phonographs have a sound of lower intensity when compared to the intensity of sound produced by the radio.
Thus the radio was better than the phonograph in encouraging the concept of cross-pollination.
Given inequality: 2y−x ≤ −6
Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied
Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied
Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.
Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.
Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.
Solutions are: (1, -4), (0, -3) , (2, -2)