Determine whether [1 0 3 , −3 1 −7 , 5 −1 13] is a basis for set of real numbers R cubed 3. If the set is not a basis, determine whether the set is linearly independent and whether the set spans set of real numbers R cubed 3.
Answers
Answer:
The set is not a basis. It is not linearly independent and doesn't span the given vector space
Step-by-step explanation:
Let u = (1,0,3), v = (-3,1,-7) and w=(5,-1,13). We want to check if the set {u,v,w} is a basis for . By definition, a basis is a linearly independent set that spans the vector space. So, if it is a basis, it automatically is linearly independent and spans the whole space. Since we have 3 vectors in
which is the matrix whose columns are u,v,w. To check that the set {u,v,w} is linearly independent,it is equivalent to check that the row-echelon form of A has 3 pivots.
The step by step calculation of the row-echelon form of A is ommited. However, the row-echelon form of A is
In this case, we have only 2 pivots on the first and second column. This means that the columns 1,2 of matrix A are linearly independent. Hence, the set {u,v,w} is not linearly independent, and thus, it can't be a basis for . Since it is not a basis, it can't span the space.
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Answers
Answer:
Step-by-step explanation:
The original price of the wind chimes at the home improvement store is $w.
A customer signed up for a free membership card and received a 5% discount off the price. The value of the discount is
5/100 × w = 0.05w
The discounted price would be
w - 0.05w = 0.95w
Sales tax of 6% was applied after the discount. The amount of sales tax applied would be
6/100 × 0.95w = 0.057w
The algebraic expression to represent the final price of the wind chime is
0.95w + 0.057w
= 1.007w
back in 1 year? Round your answer to the nearest dollar. Do not round at any other point in the solving process; only round
your final answer.
Answers
Answer:
$615.72
Step-by-step explanation:
Use the compound interest formula and substitute the given value: A=$500(1+0.21/12)^12(1)
Simplify using order of operations: A=$500(1.0175)^12=$500(1.231439315)
=$615.72
Answer:
$558.68
Step-by-step explanation:
The amount of each monthly payment is given by the amortization formula:
A = P(r/n)/(1 -(1 +r/n)^(-nt)
where P is the principal borrowed, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
We want to find nA where we have n=12, r=0.21, t=1, P=500. Filling in these values, we get ...
nA = Pr/(1 -(1 +r/n)^-n) = $500(0.21)/(1 -1.0175^-12) = $558.68
The total amount needed to repay the loan in 1 year is $558.68.
B. i^37
C. i^38
D. i^39
Help pleaseee
Answers
Answer:
D. i^39
Step-by-step explanation:
If you simplify i^39, you get i^35, i^31, i^27, i^23, i^19, i^15, i^11, i^7, to i^3, which is equal to -i.
Answers
y=3 , rather than the x− x− axis.) Your integrand looks fine and reduces to
(9−18sinx+9sin2x) − (9−18cosx+9cos2x) (9−18sinx+9sin2x) − (9−18cosx+9cos2x)= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .The evaluation of the volume is then
π [ 18 (sinx+cosx) − 92sin2x ]π/40π [ 18 (sinx+cosx) − 92sin2x ]0π/4= π ( [ 18 ( 2–√2+2–√2) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( [ 18 ( 22+22) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( 182–√ − 92 − 18 ) = π ( 182–√ − 452 ) or 9π2 ( 42–√ − 5 ) ,
Answers
Answer:
Step-by-step explanation:
1.=71
2.=25
3.=28
4.=15 (is the sybmbol at the end is division it is 8)
5.=68/17
6.=48/9
7.=96 (if the symbol at the end is division it is 106)
8.=30
Answers
Answer:
y+3 = -1/4(x-8)
Step-by-step explanation:
Point slope form is y-y1 = m(x-x1) where m is the slope and (x1-y1) is a point on the line
(y- -3) =-1/4(x-8)
y+3 = -1/4(x-8)