Quarters = x
dimes = 196 - x
10(196 - x) + 25x = 3940
1960 - 10x +25x = 3940
1960 + 15x = 3940
15x = 1980
x = 132
169 - 132 = 64
Therefor there are 132 quarters and 64 dimes
Answer:
Step-by-step explanation:
The absolute maximum of a continuous function 
is where 
. Therefore, we must differentiate the function and then set 
and to determine the value of 
:
Therefore, when , the absolute maximum of the function is .
I've attached a graph to help you visually see this.
Answer:
Around 100,i.e. 105
Step-by-step explanation:
In the given cube
Length of the cube = 7 unit cells
Breadth of the cube = 3 unit cells
Height of the cube = 5 unit cells
Therefore the number of unit cubes required to make such big cube is nothing but the volume of the big cube = length*breadth*height
⇒Number of cubes used to make that big cube= 7*5*3
= 105
Hence, option D (around 100) is the correct answer
Sum of polynomials are always polynomials.
Note that despite it's name, single constants, monomials, binomials, trinomials, and expressions with more than three terms are all polynomials.
For example,
0, π sqrt(2)x, 4x+2, x^2+3x+4, x^2-x^2, x^5+x/ π -1
are all polynomials.
What makes an expression NOT a polynomial?
Expressions that contain non-integer or negative powers of variables, rational functions, infinite series.
For example,
sqrt(x+1), 1/x+4, 1+x+ x^2/2!+x^3/3!+x^4/4!+...., (5x+3)/(6x+7)
are NOT polynomials.
Answer:
Q1) Answer: After 3 minutes there will be 4.8 gallons of water in the fish tank. Q2) Answer: 40 gallons of water will be filled after 25 minutes.
