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kicyunya [14]
3 years ago
13

A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

b

Step-by-step explanation:

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A triangle has two sides of length 4 and 15. What is the smallest possible whole-number length for the third side
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Answer:

The smallest whole number length is 12

Step-by-step explanation:

The sum of any two sides of any triangle must be greater than the length of the third side.

In this case, the two smallest sides of the triangle must be greater than the third side to satisfy the statement above.

Let "x" = the length of the third side.

Our two smaller sides are "x" and "4", and their sum must be greater than 15.

x + 4 > 15

x > 15 - 4

x > 11

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A box contains 10 slips of paper, each with a different number from 1 to 10 written on it. If one slip is removed at random, wha
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Georgia [21]

Answer:

a. x=2, y=13

b. x=14, y=25

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Step-by-step explanation:

3 0
3 years ago
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

6 0
3 years ago
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