Answer:
4 · 1/4 (I-0) = (A-0)∧2
see details in the graph
Step-by-step explanation:
Matrix A is expressed in the form A∧2=I
To proof that Matrix A is both orthogonal and involutory, if and only if A is symmetric is shown by re-expressing that
A∧2=I in the standard form
4 · 1/4 (I-0) = (A-0)∧2
Re-expressing
A∧2 = I as a graphical element plotted on the graph
X∧2=I
The orthogonality is shown in the graphical plot displayed in the picture. Orthogonality expresses the mutually independent form of two vectors expressed in their perpendicularity.
2x^2-5xy-y^3 if x=-3, and y=-2
2(-3)^2- 5(-3)(-2) -(-2)^3
=2(9) - 5(6) - (-8)
= 18 - 30 + 8
= -4
Answer:
6 L
Step-by-step explanation:
Given two solutions:
1st solution is 90% saline solution. Let the volume of this solution be 
litres.
2nd solution is 50% saline solution. Volume of this solution = 4 L
Resultant solution is 74% saline.
To find:
The volume of 1st solution = ?
Solution:
Total volume of the 74% saline mixture = (4+) Litres
We can write equation here, as per the percentage of saline in the mixtures.
90% of L + 50% of 4 L = 74% of (+4)
Therefore, the volume must be <em>6 L</em>.
Answer:
Step-by-step explanation:
Assuming the rate of increase in the cost of tuition fee per year is linear. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500(amount in 2000)
From 2000 to 2018, the number of terms is 19, hence,
n = 19
T19 = 454120
Therefore,
454120 = 20500 + (19 - 1)d
454120 - 20500 = 18d
18d = 433620
d = 433620/18
d = 24090
Therefore, the equation that can be used to find the tuition y for x years after 2000 is expressed as
y = 20500 + 24090(x - 1)
To to estimate the tuition at this college in 2020, the number of terms between 2000 and 2020 is 21, hence
x = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Hey!
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Solution:
Find the Highest Common Factor of 8, 12, and 20.
Highest Common Factor = 4
Divide.
8 / 4 = 2
12 / 4 = 3
20 / 4 = 5
4 symbolizes the amount of baskets there are.
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Answer:
2 banana's per basket.
3 apple's per basket.
5 orange's per basket.
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There is no possible way that there can be the same amount of fruit in each basket.
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Hope This Helped! Good Luck!
