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Xelga [282]
1 year ago
5

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests you start by jogging for 14 min

utes each day. Each week after, he suggests that you increase your daily jogging time by 7 minutes. How many weeks before you are up to jogging 70 minutes?
Mathematics
1 answer:
aleksklad [387]1 year ago
7 0

Given that initial time for jogging is,

a_{_1}=14

After each week the time is increased by

d=7

This gives an arithmetic sequence.

To find n such that,

a_n=70

Therefore,

\begin{gathered} a_n=a_1+(n-1)d \\ n=\frac{a_n-a_1}{d}+1 \end{gathered}

So,

\begin{gathered} n=\frac{70-14}{7}+1 \\ =\frac{56}{7}+1 \\ =8+1 \\ =9 \end{gathered}

Therefore, 9 weeks before you are up to jogging 70 minutes.

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A personnel officer in a governmental agency administered four newly de- veloped aptitude tests to each of 25 applicants for ent
Anvisha [2.4K]

Answer:

Following are the solution to these question:

Step-by-step explanation:

Please find the complete question in the attached file.\text{Stem and leaf plot}\\\\\text{Stem-and-Leaf Display:}\ \ x_1\\\\\text{Stem-and-leaf of} \ \  x_1 \ N = 25\\\\

1 6 2\\3 7 4 8\\6 8 4 6 7\\10 9 1 4 6 8\\(7) 10 0 1 4 4 5 6 9\\8 11 0 2\\6 12 0 0 0\\3 13 3\\2 14 0\\1 15 0\\

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1 7 3\\2 7 7\\4 8 1 3\\6 8 5 9\\7 9 4\\8 9 7\\10 10 1 2\\11 10 7\\(3) 11 0 3 4\\11 11 7 8 9\\8 12 0 1 1 1 2\\3 12 5 9 9\\

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8 0
3 years ago
Waqas wishes to distribute 128 bananas and also 176 apples equally among a certain number of children. find the highest number o
atroni [7]
Answer:
The maximum number of children = 16 

Explanation:
The greatest number of students who can get the fruit in this way (equally) will be equal to the highest common factor between the number of bananas and the number of apples.

Number of bananas = 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2
number of apples     = 176 = 2 * 2 * 2 * 2 *11

We can note that:
the highest common factor = 2 * 2 * 2 * 2 
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This means that the maximum number of children to get both equally is 16

Hope this helps :)
7 0
4 years ago
A Ferris Wheel 22.0m in diameter rotates once every 12.5s. What is the ratio of a persons apperenet weight to her real weight (a
AnnZ [28]
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a = omega^2*r 

omega and r in terms of given data: 
omega = 2*Pi/T 
r = d/2 

Thus: 
a = 2*Pi^2*d/T^2 

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Normal force (Ntop): upward 

Thus Newton's 2nd law reads: 
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At top (acceleration is upward): 
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Substitute a: 
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Nbottom = m*(g + 2*Pi^2*d/T^2) 

We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground): 
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Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g) 

Simplify: 
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Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2) 

Data: 
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Results: 
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Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
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