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GenaCL600 [577]
2 years ago
10

Determine whether each set equipped with the given operations is avector space. For those that are not vector spaces identify th

e vector space axioms that fail.a). The set of all pairs of real numbers of the form (x,y), where x ≥ 0, with the standard operations on R^2.b). The set of all triples of real numbers with the standard vectoraddition but with scalar multiplication defined by k(x,y,z) = (k^2x,k^2y,k^2z)c). The set of all 2 x 2 invertible matrices with the standard matrix addition and scalar multiplication
Mathematics
1 answer:
castortr0y [4]2 years ago
6 0

Answer: Determine whether each set equipped with the given operations is avector space. For those that are not vector spaces identify the vector space axioms that fail.a). The set of all pairs of real numbers of the form (x,y), where x ≥ 0, with the standard operations on R^2.b). The set of all triples of real numbers with the standard vectoraddition but with scalar multiplication defined by k(x,y,z) = (k^2x,k^2y,k^2z)c). The set of all 2 x 2 invertible matrices with the standard matrix addition and scalar multiplication

Step-by-step explanation:

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In a forest, 20% of mushrooms are red, 50% brown, and 30% white. A red mushroom is poisonous with a probability of 20%. A mushro
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Draw a simple branch diagram to work the probabilities out. You find that the chance of a poisonous mushroom is 0.08 and the chance of a red poisonous is 0.04. So the probability that a poisonous mushroom is red is 1/2 or 0.5.
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2 years ago
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Arthur borrowed $2,100 from the bank. 3 years later, Arthur owes the bank $2,478. What was the percentage rate of simple interes
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Answer:

Percentage Rate=6%

Step-by-step explanation:

Total borrowed=$2,100

Time=3 years

Rate=?

Total amount owed after 3 years= total borrowed + simple interest

$2,478=$2,100 + x

X=$2,478 - $2,100

=$378

The simple interest=$378

Simple interest=P×R×T

Where,

P= principal=$2,100

R=Rate=?

T=Time=3 years

Simple interest=$378

Simple interest=P×R×T/100

$378=$2,100×R×3/100

$378=$6,300R/100

$378=$63R

R=$378/$63

R=6

Therefore,

Rate=6%

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2 years ago
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An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.
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An acute angle is an angle that is less than 90°. An angle bisector is a ray drawn along an angle that bisects it into two equal and adjacent parts. Now, if the total angle is, say 270°, which is more than a half circle, it would result to two 135-degree angles. In this case, the angle is no longer acute, but obtuse.
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Nestor works at a garden center where he pots plants. It take's him 2 1/2 hours to pot 15 plants.
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Answer:

6 per hour

Step-by-step explanation:you would divide 15 by 2 and 1/2

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Can some one please please help me? solve for x 5 /7x + 1/7 =63 enter your answer in the box below.
Soloha48 [4]
This is confusing but I think yo umean
\frac{x+5}{7x} + \frac{1}{7} =63
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x+5+x=441x
2x+5=441x
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2x=436
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x=218
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1 year ago
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