a. If b 2 = a , then ________ is a square root of _________. b. Given a > 0 , the symbol a denotes the positive or ____________ square root of a . c. b is an n th root of a if _________ = _________. d. Given the symbol a n , the value n is called the ___________ and a is called the _____________. e. The symbol a 3 denotes the __________ root of a . f. The expression − 4 (is/is not) a real number. The expression − 4 (is/is not) a real number g. The expression a n n = | a | if n is (even/odd). The expression a n n = a if n is (even/odd). h. Given a right triangle with legs a and b and hypotenuse c , the ____________ theorem is stated as a 2 + b 2 = _ _ _ _ _ _ _ _ _ _ _ . i. In interval notation, the domain of f ( x ) = x is ______________, whereas the domain of g ( x ) = x 3 is _____________. j. Which of the following values of x are not in the domain of h ( x ) = x + 3 : x = − 5 , x = − 4 , x = − 3 , x = − 2 , x = − 1 , x = 0 ?
a. If b 2 = a , then ________ is a square root of _________. b. Given a > 0 , the symbol a denotes the positive or ____________ square root of a . c. b is an n th root of a if _________ = _________. d. Given the symbol a n , the value n is called the ___________ and a is called the _____________. e. The symbol a 3 denotes the __________ root of a . f. The expression − 4 (is/is not) a real number. The expression − 4 (is/is not) a real number g. The expression a n n = | a | if n is (even/odd). The expression a n n = a if n is (even/odd). h. Given a right triangle with legs a and b and hypotenuse c , the ____________ theorem is stated as a 2 + b 2 = _ _ _ _ _ _ _ _ _ _ _ . i. In interval notation, the domain of f ( x ) = x is ______________, whereas the domain of g ( x ) = x 3 is _____________. j. Which of the following values of x are not in the domain of h ( x ) = x + 3 : x = − 5 , x = − 4 , x = − 3 , x = − 2 , x = − 1 , x = 0 ?
Solution Summary: The correct blank provided in the statement is ‘if b2=a, then b is a square root of __’.
a. If
b
2
=
a
,
then ________ is a square root of _________.
b. Given
a
>
0
,
the symbol
a
denotes the positive or ____________ square root of
a
.
c.
b
is an nth root of
a
if _________
=
_________.
d. Given the symbol
a
n
, the value
n
is called the ___________ and
a
is called the _____________.
e. The symbol
a
3
denotes the __________ root of
a
.
f. The expression
−
4
(is/is not) a real number. The expression
−
4
(is/is not) a real number
g. The expression
a
n
n
=
|
a
|
if n is (even/odd). The expression
a
n
n
=
a
if
n
is (even/odd).
h. Given a right triangle with legs
a
and
b
and hypotenuse
c
, the ____________ theorem is stated as
a
2
+
b
2
=
_
_
_
_
_
_
_
_
_
_
_
.
i. In interval notation, the domain of
f
(
x
)
=
x
is ______________, whereas the domain of
g
(
x
)
=
x
3
is _____________.
j. Which of the following values of x are not in the domain of
h
(
x
)
=
x
+
3
:
x
=
−
5
,
x
=
−
4
,
x
=
−
3
,
x
=
−
2
,
x
=
−
1
,
x
=
0
?
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
Name
Assume there is the following simplified grade book:
Homework Labs | Final Exam | Project
Avery
95
98
90
100
Blake
90
96
Carlos
83
79
Dax
55
30
228
92
95
79
90
65
60
Assume that the weights used to compute the final grades are homework 0.3, labs 0.2,
the final 0.35, and the project 0.15.
| Write an explicit formula to compute Avery's final grade using a single
inner product.
Write an explicit formula to compute everyone's final grade simultane-
ously using a single matrix-vector product.
1. Explicitly compute by hand (with work shown) the following Frobenius inner
products
00
4.56 3.12
(a) ((º º º). (156
(b)
10.9
-1
0
2)),
Fro
5')) Fro
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