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n200080 [17]
2 years ago
7

At the Olympics, Michael

Mathematics
1 answer:
UkoKoshka [18]2 years ago
8 0

Answer:

900 meters

Step-by-step explanation:

There are about 3 feet in a meter, so to find the answer you have to add up all the meters he swam and then multiply it by that.

So the equations will be: 100+200=300, 300x3=900.

Hope you get an A! <3

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Find each angle or arc measure
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To find arc WY:
360 - 156 - 86
arc WY = 118

To find angle WXY
118 / 2 = 59 degrees
4 0
2 years ago
Which exponential function is represented by the values in the table?
svlad2 [7]

Here we use the equation

y = a(b)^x

Taking points (0,4), (1,2)

Substituting the point (0,4) , we will get

4 = a(b)^0&#10;\\&#10;4 = a(1)  \\&#10;a =4

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2 = 4 (b)^1&#10;\\&#10;2/4 = b&#10;\\&#10;b = 1/2

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a = 4, b = 1/2

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7 0
3 years ago
Read 2 more answers
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
What percentage of the world's current population is under the age of 14?
Scilla [17]

Answer:

25,69% in 2019

Step-by-step explanation:

mark me please

7 0
3 years ago
Help please!!<br> asap no wrong answers<br> will give the crown symbol
Svetllana [295]

Answer:

4Hz

Step-by-step explanation:

Standard form of a sine or cosine function,

y = acos(b(x+c))

where a is the amplitude, b is the value to find the period. and c is the phase shift.

Period = \frac{2\pi}{b}

From the equation given in the question,

y = 3cos(8\pi \: t +  \frac{\pi}{2} ) \\ y = 3cos(8\pi(t +  \frac{1}{16} )) \:  \: (factorising \: 8\pi \: out)

We can see:

Amplitude = 3,

Period = \frac{2\pi}{8\pi} = 1 / 4

Phase Shift = 1 / 16

Now we want to find the frequency.

Frequency = 1 / Period

= 1 / (1/4)

= 4Hz

4 0
2 years ago
Read 2 more answers
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