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FromTheMoon [43]
4 years ago
11

Find f(0) and f(2) for the given exponential function. f(x) = (1/2)^-x

Mathematics
1 answer:
Aliun [14]4 years ago
8 0
For 0 it will equal 1 because anything to the 0th power is 1 except 0 to the 0.

For 2, It will equal for because when you raise a fraction to the negative power you flip it and that gets rid of the negative number so then you will have 2 to the second and you will get 4.

f (0) = 1, f (2) = 4
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Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg,
brilliants [131]

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

<u>The lost weight of a pair of boys is 120 kg</u>

Reasons:

Let <em>a</em>, <em>b</em>, <em>c</em>, and <em>d</em><em> </em>represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

_nC_r = \dfrac{n!}{r! \cdot (n - r)!}

Which gives;

_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

  • c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

  • <u>The lost weight = 120 kg</u>

Learn more here:

brainly.com/question/12974932

6 0
3 years ago
Read 2 more answers
Need help badly txt bck quicker
pogonyaev
The answer would be 10/12
5 0
3 years ago
Mateo makes 6 loads of banana bread. He sells 2/3 of the loaves at a bake sale. What expression represents how many loaves Mateo
ZanzabumX [31]
2/3=n/6

2/3*6=4

HTH :D
3 0
3 years ago
How many times will interest be added to the principal in 1 year if the interest is compounded annually?
jeka57 [31]
If it's compounded annually, it basically means the interest rate will apply once a year.

So the answer will be 1. 
7 0
3 years ago
Read 2 more answers
A plane headed due south is traveling with an airspeed of 160 miles per
lord [1]

Answer:

60 °

Step-by-step explanation:

Applying the law of sine we have the following:

160 / Sin B = 80 / Sin 30 °

We solve for B and we have:

160 / Sin B = 80 / 0.5

160 / Sin B = 160

Without B = 160/160

B = Arc Sin (1)

B = 90 °

Now to calculate the other angle (true

 course) would be:

A = 180 ° - (B + C)

A = 180 ° - (90 ° + 30 °)

A = 60 °

That is to say that true course is 60 °

5 0
3 years ago
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