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OlgaM077 [116]
3 years ago
13

Two pipes can fill a tank in 87 minutes if both are turned on. If only one is used, it would take 23 minutes longer for the smal

ler pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)
Mathematics
1 answer:
seraphim [82]3 years ago
8 0
I need some more help
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16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.
Yuki888 [10]

Answer:

W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}

Observe that if the vector x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right] is in W then it satisfies:

\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]

This means that each vector in W can be expressed as a linear combination of the vectors \left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]

Also we can see that those vectors are linear independent. Then the set

\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\} is a basis for W and the dimension of W is 2.

7 0
3 years ago
There are 72 packs of sugar in a box. Each sugar pack is 9/10 of an ounce. How many ounces are in a box?
mixas84 [53]
9/10 of an ounce is 0.9. 0.9 X 72 = 64.8.

There is 64.8 ounces in a box.
7 0
3 years ago
2thousands pluse 14hundreds
snow_tiger [21]
2.000 pluse 4.00=600.000
4 pluse 2=6
thousand pluse hundreds=hundre thousandths


3 0
3 years ago
Read 2 more answers
55 and 101 that is multiple of 2,3 and 9
Jet001 [13]

Answer:

No, 55 and 101 are not multiples of 2, 3 and 9

Step-by-step explanation:

8 0
3 years ago
Aliyah had $28 to spend on six pencils.After buying them she had $10. How much did each pencil cost?
forsale [732]

Answer:

$3

Step-by-step explanation:

28-10=18

18/6=3

8 0
3 years ago
Read 2 more answers
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