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Liula [17]
3 years ago
8

14n=11n+81 SHOW YOUR WORK

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

n = 27

Step-by-step explanation:

14n = 11n + 81 (Given)

14n - 11n = 11n - 11n + 81 (Subtraction Property of Equality)

3n = 81 (Simplify)

\frac{3n}{3} = \frac{81}{3} (Division Property of Equality)

n = 27 (Simplify)

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The bottle of 100 would be lowest. $8.13 ÷ 100 lozenges = $0.08 per lozenge

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3 years ago
Given that sinФ = 8/17 and cos Ф < 0:
Gekata [30.6K]

Answer:

1) The terminal side lies in quadrant 2

2) cosФ = -15/17

3) tanФ = -8/15

Step-by-step explanation:

1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1

2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17

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6 0
3 years ago
Choose one of the factors of x^3 + 343.
Debora [2.8K]

First, note that 343=7^3. Then use the formula for the sum of perfect cubes:

a^3+b^3=(a+b)(a^2-ab+b^2).

Therefore,

x^3 + 343=x^3+7^3=(x+7)(x^2-7x+49).

The quadratic trinomial x^2-7x+49 couldn't be factored anymore, so the expression x^3 + 343 has two factors x+7 and x^2-7x+49.

Answer: correct choice is A.

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AlladinOne [14]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

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3 years ago
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