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4 years ago

Consider the graph.

Mathematics

1 answer:

gulaghasi [49]4 years ago

6 0

Answer:

Step-by-step explanation:

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Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an

levacccp [35]

Answer:

$m(n) = 24 (0.75)^n$

Step-by-step explanation:

1) The two points are:

a) On the first swing she swings forward by 18 degrees: (1, 18)

b) On the second swing she only comes 13.5 degrees forward: (2,13.5)

2) The general equation using the form given is:

$m(n)=A(B)^n$

3) Substitute the two points:

$18=A(B)\\ \\ 13.5=A(B)^2$

4) Divide the second equation by the first one:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) Substitue B = 0.75 into the first equation:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

$m(n) = 24 (0.75)^n$

5 0

4 years ago

What set has a fixed number of elements

victus00 [196]

Answer:

Finite Set

Step-by-step explanation:

A finite set is a set that contains a fixed number of elements, that is, the elements are countable. However, the opposite of a finite set is an infinite set which does not have a fixed number of elements and is uncountable.

Examples of a finite set are

The set of all past American Presidents
The set of all persons in China
The set of birds in Australia

7 0

4 years ago

How do I solve this?

EastWind [94]

Answer:

i think that you have to divide each fraction, andmaybe find the other fractions

Step-by-step explanation:

5 0

3 years ago

Help please please please

Musya8 [376]

$1/2=0.5\\5/0.5=10$

8 0

3 years ago

A cargo train and a passenger train, which start from two stations that are 710 km apart, are traveling towards each other. The

ExtremeBDS [4]

Answer:

The trains will meet in 3 hours.

Step-by-step explanation:

The initial distance between the trains was 710 km, but since the cargo train started an hour before the passenger train, it has already covered some distance towards it. The distance the cargo train has covered is simply the product of its speed $v_{ct}$ and the time taken $t$ :

$D =v_{ct}t=(110km/hr)* 1hr =110km.$

So the distance left between the trains is the starting distance minus this distance:

$D_{left}=710km-110km=600km.$

Now both trains are travelling towards each other, this means the rate at which the distance that is being covered is equal to the sum of the speeds of the trains:

$v_{tot}=v_{ct}+v_{pt}=(110km/hr)+(90km/hr)=200km/hr$

Now that we have the speed, it is easy to calculate the amount of time it will take for the trains to meet:

$t=\frac{D_{left}}{v_{tot}} =\frac{600km}{200km/hr} =\boxed{3\:hours.}$

Thus the cargo train and the passenger train will meet in 3 hours.

7 0

3 years ago