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zhenek [66]
2 years ago
10

A scuba diver descends in the water at a rate of 23 1/2

Mathematics
1 answer:
Makovka662 [10]2 years ago
3 0

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2  feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = R _1

R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min

Distance covered by a scuba diver in 2.6 minutes = d_1

d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft

Rate of a scuba diver ascending for 2 minutes = R _2

R_2= 28ft/min

Distance covered by a scuba diver in 2 minutes = d_2

d_2=R_2\times 2min=28 ft/min\times 2 =56 ft

The position of scuba diver after 4.6 minutes relative to sea level:

d_1-d_2=61.1 ft-56 ft=5.1ft

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/1072871?referrer=searchResults

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Anna is a teacher at an elementary school. She purchased 73 tickets to take the first-grade children and some parents on a field
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She bought 54 child tickets and 19 adult tickets.

Step-by-step explanation:

No. of tickets purchased = 73

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According to given statement;

x+y=73   Eqn 1

9x+15y=771   Eqn 2

Multiplying Eqn 1 by 9;

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Subtracting Eqn 3 from Eqn 2;

(9x+15y)-(9x+9y)=771-657\\9x+15y-9x-9y=114\\6y=114\\

Dividing both sides by 6;

\frac{6y}{6}=\frac{114}{6}\\y=19

Putting y=19 in Eqn 1

x+19=73\\x=73-19\\x=54\\

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Keywords: linear equations, subtraction

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What is a formula for the nth term of the given sequence?
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Answer: option D is the correct answer.

Step-by-step explanation:

The given sequence is a geometric sequence because the consecutive terms differ by a common ratio.

The formula for determining the nth term of a geometric progression is expressed as

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Where

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r represents the common ratio.

n represents the number of terms.

From the information given,

a1 = 36

r = 12/36 = 4/12 = 1/3

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