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Evgen [1.6K]
3 years ago
13

A small fish is dropped by a pelican that is rising steadily at 0.50 m/s. How far below the pelican is the fish after 2.5 s? Ple

ase provide the formula.
A) 61 m
B) 29.3 m
C) 30.6 m
D) 1.1 m
Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0
The initial velocity of the fish is the same as that of the pelican and it is -0.50 m/s. The distance traveled by the object is given by the equation,
                                 d = (V1)t + 0.5at²
where t is equal to 2.50s and the acceleration due to gravity, a, is 9.80 m/s². Substituting,
                                 d = (-0.50 m/s)(2.5 s) + 0.5(9.8 m/s²)(2.50 s)²
                                     d = 30.625 m
Thus, the answer is letter C. 
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Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

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<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

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Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

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