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Aleks [24]
3 years ago
12

F(n)=4n g(n)=n2+2n find f(g(-6))

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

f(n) = 4n

Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.

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Find the length of the chord of a circle of radius 100 feet subtended by an angle of 75◦ ?
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1. By definition, the chord of a circle is a segment that joins the two points of an arch and if it passes through the center of the circle, is called "diameter". There is a formula that you can use to find the chord lenght. This is:

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 75°π/180°=5π/12

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3 0
3 years ago
Noamis fish is 40 millimeters long.Her guiena pig is 25 meters long .How much longer is her guenia pig than her fish
Marianna [84]

Answer:72

Step-by-step explanation:because idk

6 0
3 years ago
What is m Any answers?
Likurg_2 [28]

Answer:

B. 68°

Step-by-step explanation:

Since, opposite sides of the quadrilateral MNPQ are parallel.

Therefore, it is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

So,

(6x - 2)° = (4x + 36)°

6x - 2 = 4x + 36

6x - 4x = 36 + 2

2x = 38

x = 38/2

x = 19

m\angle M = (6x - 2)\degree  \\  \\ m\angle M = (6 \times 19- 2)\degree  \\  \\ m\angle M = (114- 2)\degree  \\  \\  m\angle M =112\degree  \\  \\ \because m\angle M + m\angle N = 180\degree  \\ (adjacent \: angles) \\  \\ \therefore m\angle N = 180\degree   - m\angle M \\  \\ \therefore m\angle N = 180\degree   - 112 \degree \\  \\ \therefore m \angle N = 68\degree

8 0
3 years ago
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