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kiruha [24]
2 years ago
5

Find f(7) for the function below. F(x)=1/2 x 2^x

Mathematics
1 answer:
Anastasy [175]2 years ago
8 0

64

Step-by-step explanation:

\begin{aligned}\rm f(x)&=\rm\frac{1}{2}\times 2^x\\\rm f(7)&=2^{-1}\times 2^7\\&=2^{-1+7}\\&=2^{7-1}\\&=2^6\\&=2^6\\&=\bf 64\end{aligned}

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Angle 3 and angle 4 form a linear pair. The measure of Angle 3 is four more than three
mel-nik [20]

Answer:

angle 3. ( x ) is 136°

angle 4 ( y ) is 44° !!

Step-by-step explanation:

Let angle 3 be x and angle 4 be y

Given, Angle 3 and angle 4 form a linear pair

x + y = 180 [ sum of linear pair angle is 180 ] ... ( i )

Also, The measure of Angle 3 is four more than three

The measure of Angle 3 is four more than threetimes the measure of angle 4.

x = 4 + 3y .... ( ii )

Putting value of x from ( ii ) in ( i )

4 + 3y + y = 180

4y = 176

y = 44

Also, x + y = 180 => x = 180 - 44 = 136

7 0
3 years ago
A forestal station receives the locations of two fires, one of them in a forest located 11 Km heading N69°W from the station. Th
loris [4]

Answer:

  30.7 km

Step-by-step explanation:

The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...

  c = √(a² +b² -2ab·cos(C))

The angle measured between the two fires is ...

  180° -(69° -35°) = 146°

and the distance is ...

  c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015

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The straight-line distance between the two fires is about 30.7 km.

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Alex777 [14]
<h3>Answer: 20 lawns</h3>

Work Shown:

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3 years ago
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
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