Shiela is 0.61 meters taller than her son.
There are (A) 2.7 bacterias initially.
<h3>
What is a function?</h3>
- A function is an expression that establishes the relationship between the dependent and independent variables.
- A function from a set X to a set Y allocates exactly one element of Y to each element of X.
- The set X is known as the function's domain, while the set Y is known as the function's codomain.
- Originally, functions were the idealization of how a variable quantity depends on another quantity.
To find the number of bacteria:
- The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ).
- The starting number of bacteria is then 2.7.
Therefore, there are (A) 2.7 bacterias initially.
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The correct question is given below:
The growth of a strain of bacteria can be modeled by
the function graphed, where the x-values are the time
in seconds and the y-values are the number of
bacteria. How many bacteria are there initially?
(A) 2.7
(B) 2.8
(C) 4
13,207,982,634 x⁵y⁶
Step-by-step explanation:
We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;
(3x + 7y)^11 = ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....
The 7th term in our case is;
₁₁C₆ (3x)⁵(7y)⁶
According to the attached Pascals Triangle, the coefficient for our term should be 462, so;
462 (3x)⁵(7y)⁶
= 462 (243x⁵) (117,649y⁶)
= 13,207,982,634 x⁵y⁶
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Required percentage = (0.62 x 109482, 0.88 x 109,482) = (67879, 96,344)