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Orlov [11]
3 years ago
14

An Arithmetic Sequence will yield a graph that is...

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

A straight line.

Step-by-step explanation:

An arithmetic sequence has a common difference so the slope  of the graph will be constant, giving a straight line.

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5 boys play both hockey and volleyball (30-20-15=5)
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2 years ago
Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.
iris [78.8K]

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

6 0
3 years ago
If the mean of the data below is 3.8, find m<br>x 1 2 3 4 5 6<br>f 1 4 7 m 6 3​
zloy xaker [14]

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3​

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8

So, the value of m is equal to 1.8.

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What is £42 increased by 10%
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42+42 \cdot 10\%=42+42 \cdot 0.1=\underline{\underline{\pounds 46.2}}
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