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RSB [31]
3 years ago
15

Pamela ran 7/10 mile on Tuesday and 3/8 mile on Thursday. How much fatter did she run on Tuesday ?

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

Difference = \frac{13}{40}

Step-by-step explanation:

Given

Thursday = \frac{3}{8}\ mile

Tuesday = \frac{7}{10}\ mile

Required

How much farther is she on Tuesday

To do this, we simply calculate the difference between distance covered on both days.

Difference = Tuesday-Thursday

Difference = \frac{7}{10} -  \frac{3}{8}

Take LCM

Difference = \frac{28- 15}{40}

Difference = \frac{13}{40}

<em>Hence, she ran 13/40 mile farther on Tuesday</em>

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45Y + 13Y equals 58Y is the answer

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Enter the value for x that makes the equation 1/2 (4x – 8) + 3x = 36 true. ​
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8

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5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first t
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1 year ago
The function f(x)= -1/4(x) +1 is getting closer to a particular number. Its initial values are 4 and -2, what happens to the val
Basile [38]

Answer:

After 10 iterations, the value is approximately the value it gets closer each time, which is 0.8 (or 4/5)

Step-by-step explanation:

If the inicial value is 4, we have:

1: f(4) = -1/4(4) + 1 = 0

2: f(0) = -1/4(0) + 1 = 1

3: f(1) = -1/4(1) + 1 = 3/4

4: f(3/4) = -1/4(3/4) + 1 = 13/16

5: f(13/16) = -1/4(13/16) + 1 = 51/64

6: f(51/64) = -1/4(51/64) + 1 = 205/256

7: f(205/256) = -1/4(205/256) + 1 = 819/1024

8: f(819/1024) = -1/4(819/1024) + 1 = 3277/4096

9: f(3277/4096) = -1/4(4) + 1 = 13107/16384

10: f(13107/16384) = -1/4(13107/16384) + 1 = 52429/65536 = 0.8

If the inicial value is -2, we have:

1: f(-2) = -1/4(-2) + 1 = 3/2

2: f(3/2) = -1/4(3/2) + 1 = 5/8

3: f(5/8) = -1/4(5/8) + 1 = 27/32

4: f(27/32) = -1/4(27/32) + 1 = 101/128

5: f(101/128) = -1/4(101/128) + 1 = 411/512

6: f(411/512) = -1/4(411/512) + 1 = 1637/2048

7: f(1637/2048) = -1/4(1637/2048) + 1 = 6555/8192

8: f(6555/8192) = -1/4(6555/8192) + 1 =  26213/32768

9: f(26213/32768) = -1/4(26213/32768) + 1 = 104859/131072

10: f(104859/131072) = -1/4(104859/131072) + 1 = 419429/524288 = 0.8

6 0
3 years ago
Verify the identity sin (x + ???? / 2) = cos(x) for all real numbers x by using a graph.
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Answer:

See proof and explanation below.

Step-by-step explanation:

First we can proof this analitically first using the following property:

sin(a+b) = sin(a) cos(b) + sin (b) cos(a)

If we apply this into our formula we got:

sin (x + \frac{\pi}{2}) = sin (x) cos(\frac{\pi}{2}) + sin (\frac{\pi}{2}) cos (x)

And if we simplify we got:

sin (x + \frac{\pi}{2}) = sin (\frac{\pi}{2}) cos (x)= cos (x)

And that complete the proof.

If we analyze the graphs sin(x) and cos (x) we see that we have a gap between two graphs of \pi/2 as we can see on the figure attached.

When we do the transformation sin(x +\pi/2) we are moving to the left \pi/2 units and then would be exactly the cos function.

4 0
3 years ago
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