What is the length of MN¯¯¯¯¯¯¯ ? Round to the nearest tenth of a unit. Enter your answer in the box. units Line segment on a co
2 answers:
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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.
Know more about functions here:
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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
Answer:
A), B) and D) are true
Step-by-step explanation:
A) We can prove it as follows:
B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that . Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then
.
C) Consider . This set is orthogonal because
, but S is not orthonormal because the norm of (0,2) is 2≠1.
D) Let A be an orthogonal matrix in . Then the columns of A form an orthonormal set. We have that
. To see this, note than the component
of the product
is the dot product of the i-th row of
and the jth row of
. But the i-th row of
is equal to the i-th column of
. If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then
E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.
In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set and suppose that there are coefficients a_i such that
. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then
then
.
