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scoundrel [369]
3 years ago
9

Find the new price for the markup given. Round to the nearest cent if necessary.

Mathematics
1 answer:
Sliva [168]3 years ago
4 0
100% = 4.00
87% = 3.48

187 = 7.48

answer = $7.48
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Write the decimal in fractional notation: 0.097 A 97/1000 B 97/10,000 C 970 /1000 D 97/10
jeyben [28]
If you would like to write 0.097 in fractional notation, you can do this like this:

0.097 = 97 / 1000 

The correct result would be <span>A 97/1000.</span>
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Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

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Answer:

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Step-by-step explanation:

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