Answer:
5
Step-by-step explanation:
Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?
this can be solved using simultaneous equation. Two equations can be formed from the question
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
divide both sides of the equation by 5
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
collect like terms
2a = 10
divide both sides of the equation by 2
a = 5
The correct answer is C. t= 8ln(100)
Hope this helped! :)
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Answer:
Mauricio's score for each event is 7.
Step-by-step explanation:
Mauricio scored a total of 34.42 points in five gymnastic events.
We can round off his score as 35.
To find Mauricio's score for each event, divide total score and no of events as follows :
Hence, Mauricio's score for each event is 7.
Question: If the subspace of all solutions of
Ax = 0
has a basis consisting of vectors and if A is a matrix, what is the rank of A.
Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.
Assume: The number of vectors is 3, and the dimension is 5 × 8.
Answer:
The rank of the matrix A is 5.
Step-by-step explanation:
In the standard basis of the linear transformation:
f : R^8 → R^5, x↦Ax
the matrix A is a representation.
and the dimension of kernel of A, written as dim(kerA) is 3.
By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.
That is:
rank(A) = dim(R^8) - dim(kerA)
= 8 - 3
= 5
Answer:
v = 55
Step-by-step explanation:
Plug in the values provided into the equation
v = u + at
v = 23 + 8 * 4
Solve
v = 23 + 8 * 4
v = 23 + 32
<u>v = 55</u>
