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padilas [110]
3 years ago
14

A motorboat traveling with a current can go 120 km in 4 hours. Against the current, it takes 6 hours to go the same distance. Fi

nd the speed of the motorboat and speed of the current.
Speed of motorboat: ?km/h
Speed of current: ?km/h
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer: Speed of motorboat= 25 km hr

Speed of current= 5km hr

Step-by-step explanation:

120/4=  speed of motorboat with the  current

120/6= speed of motorboat against the current

Get the average of those 2 numbers.

Motorboat=25 km hr

Speed of current= 5 km hr

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The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

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Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

8 0
3 years ago
I don't know how to do this. Can someone explain how to please?​
Natalija [7]

Answer:

f(5) = -2

Step-by-step explanation:

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f(5) = -2

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14

Step-by-step explanation:

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